(URS). EDRS Is Not * Responsible for the Quality of the Original Document

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ED 119 723 IR 003 195

TITLE 16mm Film and Videotape'Lectures and Demonstrations. 1976/1977 COalog. INSTITUTION Massachusetts Inst. of Tech., Cambridge. Center for Advanced Engineering Study. PUB DATE 76 NOTE 101p. AVAILABLE FROM Massachusetts Institute of Technology, Center for Advanced Engineering Study, Cambridge, Massachusetts 02139

EDRS PRICE MF-$0.83 HC -$6.O1 Plus Postage DESCRIPTORS Artificial Intelligence; Calculus; *Catalogs; Chemistry; Computer Science; Economics; Electronics; Engineering; Experiments; Higher Education; *Instructional Films; Mathematics; Physics; Probability Theory; *Sciences; Statistics; Systems Analysis; Thermodynamics; *Video Tape Recordings IDENTIFIERS Massachusetts Institute of Technology

ABSTEACT The Massachusetts Institute of Technology provides a catalog of 16mm filmed and videotaped lectures and demonstrations. Each listing includes title, short description, length of presentation, catalog number, purchase and rental prices, and indications as to whether the item is film or videotape and black-and-white or color. The catalog is divided into 17 categories: artificial intelligence; calculus; colloid and surface chemistry; computer languages; digital signal processing; economics; engineering economy; friction, wear, and lubrication; introduction to experimentation; mechanics of polymer processing; modern control theory; network analysis and design; nonlinear vibrations; probability; random processes; thermostatics and thermodynamics; and special programs. Ordering information and forms are included. (LS)

*********************************************************************** * Documents acquired by ERIC include many informal unpublished * materials not available from other sources. ERIC makes every effort * * to obtain the best copy available. Nevertheless, items of marginal * * reproducibility are often encountered and this affects the quality * * of the microfiche and hardcopy reproductions ERIC makes available * * via the ERIC Document Reproduction Service (URS). EDRS is not * responsible for the quality of the original document. Reproductions * * supplied by EDRS are the best that can be made from the original. *********************************************************************** Massachusetts Institute of Technology 16mm Film and Videotape Lectures and U.S. DEPARTMENT OF HEALTH, Demonstrations EDUCATION & WELFARE NATIONAL INSTITUTE OF EDUCATION THIS DOCUMENT HAS BEEN REPRO- DUCED EXACTLY AS RECEIVED FROM THE PERSON OR ORGANIZATION ORIGIN. 1976/1977 ATING IT POINTS OF VIEW OR OPINIONS STATED DO NOT NECESSARILY REPRE SENT OFFICIAL NATIONAL INSTITUTE OF Catalog EDUCATION POSITION OR POLICY

Artificial Intelligence 2

Calculus 6

Colloid and Surface Chemistry 23 The Massachusetts. Institute of Technology has developed more Computer Languages 32 than 450 videotapes and 16 mm films on the sciences, mathematics, engineering, and management. Digital Signal Processing 37 Produced at the Center for Advanced Engineering Study in Economics 41 cooperation with MIT and other faculty members, these programs were created as part of a self- Engineering Economy 45 study project for practicing engineers, industrial scientists, and technical managers. Friction, Wear, and Lubrication 48 Flexibly designed to meet individual learner needs, these 51 lectures and demonstrations will Introduction to Experimentation be useful to industry and on- campus graduate and undergraduate Mechanics of Polymer Processing 54 classes. Detailed study guides, including Modern Control Theory 60. lecture notes, reading assignments, problem sets, and solutions accompany most of the subjects. Network Analysis and Design 70 Descriptions of the films and videotapes follow. Please Nonlinear Vibrations 74 note the substantial discounts for complete set rental or purchase. Reservation forms Probability ,78 are included to facilitate your ordering. Random Processes 86

Thermostatics and Thermodynamics' 93

Special Programs 96 Artificial Intelligence Patrick H. Winston

Artificial Intelligence is the researchers believe that intelli- -science of making computers smart. gence is the product of a family It is practiced both by those who Of qualities that can be studied want to make computers more abstractly and without concern useful and by those who want to for the particular hardwareor understand the nature of intel- "brainware" machines that manifest ligence. intelligence. Intelligent systems will be better because they will know why some- Patrick H. Winston is Associate thing is wanted as well as what Professor of Computer Science at is wanted. But, making machines MIT and Director of the MIT Arti- smart is also a new kind of psy- ficial Intelligence Laboratory. chology. Artificial Intelligence

2 3 Artificial Intelligence

Twenty-four Perceptrons and Hill Climbing Color Videotapes The perceptron idea. The in- ability of perceptrons to recog- Geometric Analogy Problems (1) nize connectivity. Learning Purposeful descriptions. through parameter twiddling. Symbolic pattern matching. Foothill, ridge, and plateau Descriptions of relations and problems. The need for layers of transformations. Rule comparison. information processing. 26-min. Color Videotape 34-min. Color Videotape 17-0101 Purchase $245 Rental $25. 17-0106 Purchase $300 Rental $30..

Picking The Next Move Geometric Analogy Problems (2) The mini-max method of game Geometric analogy examples. Re- playing. The alpha-beta speedup marks on improving performance. algorithm. Heuristic pruning. The role of analogy in identify- Static evaluation and plausible ing unknown objects. move generation. 20-min. Color Videotape 39-min. Color Videotape 17-0102 Purchase $200 Rental $20. 17-0107 Purchase $325 Rental $33.

The General Problem Solver Using Evidence Using goals and subgoals. Dif- Remarks on strategy and tactics. ference descriptions, operators, Learning to play better. Linear and conditions. Iteration, ee- scoring sums. Signature tables cursion, and automatic backup. and layered signature tables. Traveling to Aunt Agatha's. 25-min. Color Videotape 39-min. Color Videotape 17-0108 Purchase $240 Rental $24. 17-0103 Purchase $325 Rental $33.

Probing A New Domain Solving Calculus Problems (1) The problem of line drawing Goal trees and heuristic search. analysis. Combining regions in- Judging difficulty and focusing to bodies. More evidence versus attention. Strong and weak better evidence. Line drawing transformations. analysis as a research paradigm. 25-min. Color Videotape 44-min. Color Videotape 17-0104 Purchase $240 Rental $24. 17-0109 Purchase $350 Rental $35.

Solving Calculus Problems (2) Exploiting Constraints Alternatives in performance Identifying illegal drawings. measurement. Depth-first, Classification of lines and ver- breadth-first, and environment- texes. Searching for compatible driven search. Using programs as and vertex interpretations. metaphors. The ephemeral quality of intelligence. 39-min. Color Videotape 17-0110 Purchase $325 Rental $33. 24-min. Color Videotape 17-0105 Purchase $230 Rental $23.

3 4 ARTIFICIAL INTELLIGENCE - Continued Working Out An Epistemology LISP Basics (2) Handling shadows and cracks. Free and bound variables. Using illumination information. MAPCAR, APPLY, and LAMBDA. Cal- Coping with small infinities. culating the depth of an S- The metatheory of description expression. Finding the mini- refinement. max value of a tree. 32-min. Color' Videotape 33-min. Color. Videotape 17-0111 Purchase $285 Rental $29. 17-0115 Purchase $290 Rental $29. Learning Description based learning of Differentiation in LISP structures from samples. The The identical form of programs importance of the near-miss. and data. Constructing new S- Model refinement using emphatic expressions'from pieces of old relations. Hypothesis and con- ones. Simplification on the tradiction. Learning by dis- fly. Intermediate expression covery, from examples, and by bulge. being told. 42-min. Color Videotape 28-min. Color Videotape 17-0116 Purchase $340 Rental $34. 17-0112 Purchase $260 Rental $26. Building A Matching Language Identifying Structures and Con- Using LISP text Storing and Retr:ieving in- Computing relations between ob- formation using property lists. jects. Plain and fancy ident- Matching patterns against known ification. Searching through facts. Storing facts in similarity networks. Frame indexed directories. systems and contexts. 43-min. Color Videotape 34-min. Color Videotape 17-0113 Purchase $345 Rental $35. 17-0117 Purchase $300 Rental $30.

LISP Basics (1) Improving The Matching Function Basic numeric and symbol- Simultaneous matching and manipulating primatives. Values variable assignment. Matching and properties. The need for pattern elements against quoting. Predicates and con- strings. Restricted matching. ditionals. Defining new .functions. Recursion. 30-min. Color Videotape 17-0118 Purchase $275 Rental $28. 20-min. Color Videotape 17-0114 Purchase $200 Rental $20.

ARTIFICIAL INTELLIGENCE -CompiNVSet

Color Videotapes Study Guide Complete set oftwenty-fourcolor Comments, photographs, refer- videotapes. ences, problems, solutions. 182 pp. (One per student 17-1100 Purchase $5825 (SAVE $940) recommended.) 120 Day Rental *607 (SAVE $74) 17-2100 Purchase $8.00 each. Suggested Text (10% Discount on five or more) The Psychology of Computer A Complete Serf-Study Subject. Vision, edited by P. H. Winston, The sat of videotapes described McGraw-Hill, 1975.282 pp. above can be wed as a complete seif- 17-3100 Purchase $18 each. studysubject when accompanied by the Study Guide and Suggested Text.

4 Working Algebra Word Problems Effecting English Commands in Translation of sentences into the Blocks World equations. Breaking up com- Goal oriented programming. The pound sentences. Retrieving heterarchical approach. Putting library facts. The toy the pyramid on the green block. psychiatrist program. 42-min. Color Videotape 41-min. Color Videotape 17-0122 Purchase $340 Rental $34. 17-0119 Purchase $335 Rental $34. Constraint Structures Demons and Automatic Backup Sets of mutually exclusive The MICRO-PLANNER Language. features. Entry conditions. Consequent, antecedant, and A 0th order theory of semantics. erasing subroutines. Looking Bouncing the pointed ball. for a fallible sinner. 23-min. Color Videotape 21-min. Color Videotape 17-0123 Purchase $220 Rental $22. 17-0120 Purchase $205 Rental $21. Aspects of Natural Language Syntax Understanding English Context free and transformation- The role of syntax, semantics, al grammars. Systemic grammar and deduction. The structure Translating and feature driven analysis. of noun groups. Special purpose languages for noun groups into MICRO-PLANNER dealing with syntax. Picking up programs. a big red box. 36-min. Color Videotape 31-min. Color Videotape 17-0121 Purchase $310 Rental $31. 17-0124 Purchase $280 Rental $28.

5 6 Calculus Herbert I. Gross

Calculus covers the material norm- part of the course covers complex ally found in the first two years variables, differential equations, of a modern college sequence in and linear algebra. calculus, differential equations, and linear algebra. The course Designed originally as a refresher begins with elementary set theory course (and, in fact, called and other aspects of "new math" Calculus "Revisited" when used at and continues with differential and MIT), this material is suitable for integral calculus, circular and all students with the requisite transcendental functions, and background. infinite series. The courathen continues with vector arithmetic and vector calculus, partial Herbert I Gross was Senior Lec- derivatives, matrix algebra, and turer, Massachusetts Institute of multiple integration. The final Technology.

kt.

7 Calculus

Functions Preface to Calculus Notations; concepts of onto and An introduction to calculus; the one-to-one; the arithmetic of concept of 0/0; instantaneous functions of a real variable; speed; introduction to functiOns intervals and deleted neighbor- and graphs; the limit concept; hoods; absolute values; compo- area; general overview of calculus. sition of functions. 32-min. B&W Film or Videotape 39-min. B&W Film or Videotape 26-0000 Purchase $215 Rental $22. 26-0102 Purchase .$255 Rental $2f.

Inverse Functions, "Switch in Sets, Functions, and Limits Emphasis" The concept of an inverse func- Six B&W 16mm tion; some examples; graphical Films or Videotapes interpretation; single-valued Analytic Geometry and multi-valued functions; a Cartesian coordinates; curves as discussion of branches of func- sets of points; graphs of functions. tions; equations of straight 40-min. B&W Film or Videotape lines; simultaneous linear 26-0103 Purchase $260 Rental $26. equations. 37-min. B&W Film or Videotape 26-0101 Purchase $240 ,Rental $24.

SETS, FUNCTIONS, AND LIMITS - Complete Set

Films/Videotapes Study Guide Complete set of six B&W Pretest, reading assignments, 16 mm films or videotapes problems, solutions, quiz. 26-1100 Purchase $1600 (SAVE $140) 184 pp. (One per student 30 Day Rental $166 (SAVE $10) recommended.) 26-2100 Purchase $6.00 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, Lecture Notes Addison-Wesley, 1968, 818 pp. A set of chalkboard photographs 26-3000 Purchase $16.95 each. for all the films/videotapes on Calculus of a Single Variable. Supplementary Notes 82 pp. A supplement to the text, cover- 26-5000 Purchase $4.50 each. ing "new math" concepts and expanding on difficult topics in A Complete Self-Study Subject. Calculus of a Single Variable. The set offilms/Videotapes described 346 pp. above can be used as a complete self- study subject when accompanied by 26-4000 Purchase $11.00 each. the Study Guide, Lecture Notes, Sug- gested Text, and Supplementary Notes.

7 8 SETS, FUNCTIONS, AND LIMITS - Continued

Derivatives and Limits Instantaneous speed as an out- Differentation growth and refinement of average speed; definition of limit; Eleven B&W 16mn instantaneous speed as a limit; Films or Videotapes the formal definition of limit Derivatives of Some Simple Functions and some consequences. Definition of derivative; the derivative of xn where n is an 45-min. B&W Film or Videotape integer; derivatives of sums, 26-0104 Purchase $285 Rental $29. differences, products, and quotients. A More Rigorous Approach to Limits 28-min. B&W Film or Videotape A continuation of the previous 26-0201 Purchase $190 Rental $20. lecture; important limit properties are developed as theorems from the formal definition of Approximations and Infinitesimals limit. Approximating. Ay by f'(x)Ax; discussion of the difference 46-min. B&W Film or Videotape between Ay and f'(x)Ax; some 26-0105 Purchase $290 Rental $29. examples; introduction to the chain rule. Mathematical Induction 34-min. B&W Film or Videotape The meaning of mathematical 26-0202 Purchase $225 Rental $23. induction; some examples of what mathematical induction is and isn't; applications to limit Composite Functions and the theorems. Chain Rule Composition of functions; a. 29-min. B&W Film or Videotape graphical interpretation; applica- 26-0106 Purchase $195 Rental $20. tions to parametric equations; using the chain rule to extend our concept of finding derivatives. 39-min. B&W Film or Videotape 26-0203 Purchase $255 Rental $26.

DIFFERENTIATION - Complete Set

Films/Videotapes Study Guide Complete set of eleven B&W Pretest,-reading assignments, 16 mm films or videotapes. problems, solutions, quiz. 26-1200 Purchase $2135 (SAVE $240) 268 pp. (One per student 55 Day Rental $230 (SAVE $17) recommended.) 26-2200 Purchase $8.50 each. Suggested Text (10% Discount on five or more). Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, Lecture Notes. Addison-Wesley, 1968, 818 pp. A set of chalkboard photographs 26-3000 Purchase $16.95 each. for all the films/videotapes on Calculus of a Single Variable. Supplementary Notes 82 pp. A supplement to the text, cover- 26-5000 Purchase $4.50 each. ing "new math" concepts and expanding on difficult topics in A Complete Self-Study Subject. Calculus of a Single Variable. The set of'films/Videotapes described 346 pp. above can be used as a complete self- study subject when accompanied by 26-4000 Purchase $11.00 each. the Study Guide Lecture Notes, Sug- gested Text,. and Supplementary Notes

8 Differentiation of Inverse Rolle's Theorem and its Functions Consequences The concept of an inverse function; Statement of Rolle's Theorem; a differentiation of an inverse func- geometric interpretation; some tion; when is a function invertible? cautions; the Mean Value Theorem; consequences of the Mean Value 28-min. B&W Film or Videotape Theorem. 26-0204 Purchase $190 Rental $20. 30-min. B&W Film or Videotape 26-0209 Purchase $205 Rental $21. Implicit Differentiation Finding the derivative when the Inverse Differentiation functional relationship is implied The "Opposite" of differentiation; (that is, when it has the form trying to find f(x) knowing f'(x); f(x,y) = 0]; application to the some examples; some formulas; case of xn where n is a rational notation. number; the use of implicit differentiation in the study of 42-min. B&W Film or Videotape 26-0210 Purchase $270 Rental $27. related rates. 40-min. B&W Film or Videotape The "Definite" Indefinite Integral' 26-0205 Purchase $260 Rental $26. b The meaning of Ji f(x) dx as Continuity Physical internretation of a continuity; th, of g(b) - g(a) where g'(x) = f(x); continuity in terms of limits; some applications. a geometric interpretation of 29-min. B&W Film or Videotape continuity; some applications 26-0211 Purchase $195 Rental $20. of continuity to equation solving; some analytic consequences of definition of The Circular Functions continuity. Two B&W 16mm Films or Videotapes 22-min. B&W Film or Videotape 26-0206 Purchase $150 Rental $20. Circular Functions Trigonometric functions without the use of angles; the logic of Curve Plotting radian measure; the definition of Basic pre-calculus review; even circular functions; the derivative of sin x and cos x. and odd functions and other . symmetries; the role of the first 35-min. B&W Film or Videotape and second derivatives in curve 26-0301 Purchase $230 Rental $23. plotting; stationary points; inflections; some examples. Inverse Circular Functions 31-min. B&W Film or Videotape Meaning of arcsin x in terms of the 26-0207 Purchase $210 Rental $21. sine function; the derivative of arcsin x in terms of the derivative of sin x; some applications. Maxima and Minima 26-min. B&W Film or Videotape High and low points of a curve; 26-0302 Purchase $175 Rental $20. techniques for finding these high and low points; applications to finding maxima and minima of func- Study Guide tions; some physical applications. Pretest, reading assignments, 34-min. B&W Film or Videotape problems, solutions, quiz. 26-0208 Purchase $225 Rental $23. 96 pp. (One per student recommended.) 26-2300 Purchase $4.00 each. (10% Discount on five or more.)

9 10 The Definite Integral 1-Dimensional Area The main difference between Four B&W 16mm arclength and either area or Films or Videotapes volume; the limit definition of The Definite Integral arclength; some philosophical and Axiomatic approach to area; area practical questions concerning approximations by upper and lower the definition; approximating bounds; the method of exhaustion; errors and their magnitude when using limits to find areas of non- we use infinite sums. rectilinear regions; piecewise 36-min. B&W Film or Videotape continuity; trapezoidal approxi- 26-0404 Purchase $235 Rental $24. mations. 36-min. B&W Film or Videotape 26-0401 Purchase $235 Rental $24. Transcendental Functions Marriage of Differential and Four B&W 16mm Integral Calculus Films or Videotapes First Fundamental Theorem of Logarithms without Exponents Integral Calculus, some applica- The concept of the natural tions; Second Fundamental Theorem logarithm; the notion of the rate of Integral Calculus; some of change being proportional to applications; significance of the the amount.,yeesent; the general two theorems. concept of'6: logarithmic function; 30-min. B&W Film or Videotape the study of ln x in terms of 26-0402 Purchase $205 Rental $21. differential calculus; the study of ln x in terms of integral calculus; the meaning of the 3-Dimensional Area number e as the base of the Extending the axioms of area to natural logarithms. volume; some applications; the 34-min. B&W Film or Videotape method of cylindrical shells. 26-0501 Purchase $225 Rental $23. 42-min. B&W Film or Videotape 26-0403 Purchase $270 Rental $27.

THE DEFINITE INTEGRAL - Complete Set

Films/Videotapes Study Guide Complete set.of four B&W Pretest, reading assignments, 16 mm Films or Videotapes. problems, solutions, quiz. 26-1400 Purchase $870 (SAVE $75) 128 pp. (One per student 20 Day Rental $ $86 (SAVE $10) recommended.) 26-2400 Purchase $4.00 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, Lecture Notes Addison-Wesley, 1968, 818 pp. A set of chalkboard photographs 26-3000 Purchase $16.95 each. for all the films/videotapes on Calculus of a Single Variable. 82 pp. Supplementary Notes 26 -5000 Purchase $4.50 each. A supplement to the text, cover- ing "new math" concepts and A Complete Sell-Study Subject. expanding on difficult topics in The set of films/videotapes described Calculus of a Single Variable above can be used as a complete self- 346 pp. study subject when accompanied by the Study Guide, Lecture Notes, Sug- 26-4000 Purchase $11.00 each. gested Text, and Supplementary Notes.

10 11 Inverse Logarithms The invertibility of the More Integration Techniques logarithmic function; ex as the Four B&W 16mm inverse of In x; a discussion of Films or Videotapes exponential functions; some applications. Some Basic Recipes 21-min. B&W Film or Videotape A review and extension of previous 26-0502 Purchase $145 Rental $20. results for finding f(x) knowing f'(x); particular emphasis is placed on the case where f'(x) What a Difference a Sign Makes involves the sum and/or difference Hyperbolib functions in terms of of two squares; completing the the hyperbola x2-y2=1; compari- square. sons with the circular functions; 30-min. B&W Film or Videotape the relationship between hyperbolic 26-0601 Purchase $205 Rental $21. functions and exponential functions; applications of calculus to hyperbolic functions. Partial Fractions 27-min. B&W Film or Videotape The concept of partial fractions; 26-0503 Purchase $180 Rental $20. finding f(x) when f'(x) is the quotient of two polynomials; some notes about identities; application of partial fractions to the case Inverse Hyperbolic Functions where f is of the form The theory of inverse functions f(sin x, cos x). applied to the hyperbolic functions; some formulas for dif- 32-min. B&W Film or Videotape ferentiation and integration; some 26-0602 Purchase $215 Rental $22. applications. 30-min. B&W Film or Videotape 26-0504 Purchase $205 Rental $21.

TRANSCENDENTAL FUNCTIONS - Complete Set

Films/Videotapes Study guide Complete set of four B&W Pretest, reading assignments, 16 mm films or videotapes problems, sontions, quiz. 90 pp. (One per student 26-1500 Purchase $695 (SAVE $60) recommended.) 20 Day Rental $74 (SAVE $10) 26-2500 Purchase $1.00 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, Lecture Notes Addison-Wesley, 1968, 818 pp. A set of chalkboard photographs for all the films/videotapes on 26-3000 Purchase $16.95 each. Calculus of a Single Variable. Supplementary Notes 82 pp. A supplement to the text, cover- 26-5000 Purchase $4.50 each. ing "new math" concepts and expanding on difficult topics in A Complete Self-Study Subject. Calculus of a Single Variable. The set of films/videotapes described above can-be used as a complete self- 346 pp. Study subject when accompanied by 26-4000 Purchase $11.00 each. the. Study Guide, Lecture Notes, Sug- gested Text, and Supplementary Notes.

11 12 MORE INTEGRATION TECHNIQUES - Continued

Integration by Parts Using the identity Infinite Series d(uv) = v + vdu to findJudy knowingvdu; using the technique Six B&W 16nrrn to evalu to certain integrals; Films or Videotapes reduction formulas; some Many Versus Infinite applications. Discussion of how infinity differs 26-min. B&W Film or Videotape from "very large"; some subtle and 26-0603 Purchase $175 Rental $20. not subtle consequences of the difference; the case against intuition; motivating infinite Improper Integrals series in terms of finding area The problem of trying to study as a limit. 26-min. B&W Film or Videotape If(x)dx when f(x) is not 26-0701 Purchase $175 Rental $20. continuous on the interval [a,b]; some examples; what happens if the Positive Series limits of integration are not The special case whereineach term finite; importance of improper in the series isnon-negative; the integrals. concept of convergence;the 29-min. B&W Film or Videotape comparison test; the ratiotest; 26-0604 Purchase $195 Rental $20. the integral test. 34-min. B&W Filmor VideOtape 26-0702 Purchase $225Rental $23.

MORE INTEGRATION TECHNIQUES- Complete Set

Films/Videotapes 11 Study Guide Complete set of fotr B&W Pretest, reading assignments, 16 mm films or videotapes. problems, solutions, quiz. 26-1600 Purchase $/25 (SAVE $65) 80 pp. (One per student 20 Day Rental $73 (SAVE $10) recommended.) 26-2600 Purchase $4.00 each. "Suggested Text AJA4 Discount on five or more.) Calculus and Analytic Geometry (Fourth gdition) by G.B Thomas, Lecture Notes Addison-Wesley, 1968, 818 pp. A set of chalkboard photographs for all the films/videotapes on 26 -3000 Purchase $16.95 each. Calculus of a Single Variable. Supplementary Notes 80 pp. A supplement to the text, cover- 26-5000 Purchase $4.50 each. ing "new math" concepts and expanding on difficult topics in A Complete Self-Study Subject. Calculus of a Single Variable. The set of films/videotapes described 146 pp. above can be used as a complete self- study subject when accompanied by 26-4000 Purchase $11.00 each. the Stuck Guide,'Lecture Motes, Sug-, gested Text, and Supplementary Notes.

12 13 Absolute Convergence Uniform Convergence Discussion of non-absolute A discussion of pointwise con-

convergence; conditional and . vergence versus uniform con- absolute convergence; the vergence; some important subtlety of a series converging consequences of uniform con- When each of its negative terms vergence; applications of is replaced by the absolute value uniform convergence to the study of tha.t term; some consequences of power series. of absolute convergence; geometric 28-min. B&W Film or Videotape interpretation. 26-0705 Purchase $190 Rental $20. 21-min. B&W Film or Videotape 26-0703 Purchase $145 Rental $20. Uniform Convergence of Power Series Polynomial Approximations The topics introduced in the Using an nth degree polynomial to previous lecture are extended approximate a function f(x); how here. In particular the to choose the coefficients of the Weirstrass M-test is introduced polynomial to vet the "best" and discussed; using power series approximation; the notion of a to evaluate definite integrals power series; interval of when we do not know the anti- convergence of a power series; derivative of the integrand. Taylor's Remainder Theorem; expressing functions in terms of 27-min. B&W Film or Videotape 26-0706 Purchase $180 Rental $20. power series. 32-min. B&W Film or Videotape 26-0704 Purchase $215 Rental $22.

INFINITE SERIES - Complete Set

Films/Videotapes Study Guide Complete set of six B&W Pretest, reading assignments, 16 mm films or videotapes. problems, solutions, quiz. 178 pp.(One per student 26-1700 Purchase $1040 (SAVE $90) recommended.) 30 Day Rental $115 (SAVE $10) 26-2700 Purchase $6.00 each. Suggested Text (10% Discount on five or more.),, Calculus and Analytic Geometry Lectures Notes (Fourth Edition) by G.B. Thomas, Addison-Wesley, 1968, 818 pp. A set of chalkboard photographs for all the films/videotapes on 26 -3000 Purchase $16.95 each. Calculus of a Single Variable. 80 pp. Supplementary Notes 26-5000 Purchase $4.00 each. A supplement to the text, cover- ing "new math" concepts and A Complete Self -Study Subject. expanding on difficult topics in The set of films/videotapes described Calculus of a Single Variable. abo0e can be used as a complete saf 346 pp. study subject when accompanied by 26-4000 Purchase $11.00 each. the Study Guide, Lecture Notes, Sug- gested Text, and SUpplementary Notes.

14 13 The Dot Product sector Arithmetic Physical motivation in terms of Six B &W 16mm "work"; the geometric definition; Films or Vi.leotapes computing the dot product in Cartesian coordinates; the :.='The "Game" of Mathematics mathematical structure of the The generalized definition of a dot produCt; geometric applica- game; mathematics as a "game"; tions to finding angles and mathematical structure viewed as a "game". length projections. 29-min. B&W Film or Videotape 20-min. B&W Film or Videotape 27-0101 Purchase $140 Rental $20. 27-0104 Purchase $195 Rental $20.

"Arrow" Arithmetic The Cross Product Definition of a vector; vectors Geometric definition; the struc- as directed lengths (arrows); ture of the cross product; Mdition of vectors (the result- computing the cross product in antY;,i and j components; an Cartesian coordinates; using introduction to vector arithmetic determinant notation to compute in terms of mathematical struc- the cross product; geometric ture. applications of the cross 28-min. B&W Film or Videotape product to finding areas and 27-0102 Purchase $190 Rental $20. lines perpendicular to planes. 31-min. B&W Film or Videotape 3-Dimensional Vectors 27-0105 Purchase $210 Rental $21. Generalization from 2-dimensional space to 3-dimensional space; i,j, and k components of vectors; Equations of Lines and Planes Vector methods for finding the vector arithmetic in 3-dimensional equation of a line in 3-space; Cartesian coordinates; other finding the equation of coordinate systems; vector pro- a plane in terms of vectors;some perties versus coordinate pro- examples. perties. 28-min. B&W Film or Videotape 26-min. B&W Film or Videotape 27-0106 Purchase $190 Rental $20. 27-0103 Purchase $175 Rental $20.

VECTOR ARITHMETIC- Complete Set

Films/Videotapes Study Guide Complete set of six B&W Pretest, chalkboard photographs, 16 mm films and videotapes. reading a'Asignments, problems, 27-1100 Purchase $1010 (SAVE $90) solutions, quiz. 173 pp. (One 30 Day Rental $111 (SAVE $10) per student recommended.) Suggested Text 27-2100 Purchase $5.50 each. (10% Discount on fiveor more). Calculus and Analytic Geometry (Fourth Edition) by G.B.Thomas, A Complete Self -Study Subject. Addison-Wesley, 1968, 818pp. The set of-films /videotapes described above can be used asa complete self- 26-3000 Purchase $16.95 each. study subject when accompanied by the Study Guide, SuggePted Text, and Supplementary Notes Supplementary Notes. A supplement to the text intro- ducing the concept of mathematical structure and expanding on difficult topics in Calculusof Several Variables. 182 pp. 27-4000 Purchase $5.00 each.

14 15 Polar Coordinates Vector Calculus Definition of polar coordinates; Four E37.,' 16mm the relationship between polar V-7:1e2tareo and Cartesian coordinates; polar equations for curves; slope and Vector Functions of a Scalar area in terms of polar Variable coordinates. Th6 concept of "operating" on a 30-min. B&W Film or Videotape number to produce a vector; 27-0203 Purchase $205 Rental $21. force as a function of time; limit theorems; the derivative of a vector function of a scalar Vectors in Polar Coordinates variable; some formulas for The basis vectors in polar finding derivatives; application coordinates; the need for using to motion in a plane. polar coordinates in some vector 38-min. B&W Film or Videotape problems; the position vector, 27-0201 Purchase $250 Rental $25. the velocity vector, and the acceleration vector in polar coordinates; applications to a Tangential and Normal Vectors central force field. The position vector; the unit 27-min. B&W Film or Videotape tangent vector; the unit normal 27-0204 Purchase $180 Rental $20. vector; the concept of curvature and radius of curvature; the torsion vector in 3-dimensional space. 28-min. B&W Film or Videotape 27-0202 Purchase $190 Rental $20.

VECTOR CALCULUS - Complete Set

Films/Videotapes Complete Set of four B&W Study Guide 16 mm films and videotapes. Pretest, chalkboard photographs, 271200 Purchase $760 (SAVE $65) reading assignments, problems, 20 Day Rental $76 (SAVE $10) solutions, quiz. 212 pp. (One per student recommended.) Suggested Text 27-2200 Purchase $7.00 each. Calculus and Analytic Geometry (10% Discount on five or more). (Fourth Edition) by G.B. Thomas, Addison-Wesley, 1968, 818 pp. A Complete Self-Study Subject. The set of films/videotapes described 26-3000 Purchase $16.95 each. above can be used as a complete self- study subject when accompanied by Supplementary Notes - the Study Guide, Suggested Text, and A supplement to the text intro- Supplementary Notes. ducing the concept of mathematical structure and expanding on difficult topics in Calculus of Several Variables. 182 pp. 27-4000 Purchase $5.00

15 16 Directional Derivatives Partial Derivatives Motion in a direction other than Six B&W 16mm parallel to either the x- or Films or videotapes y-axis; the definition of a n-Dimensional Vector Spaces. directional derivative in terms The concept of a vector as the of Cartesian coordinates; the independent variable; a scalar gradient vector; the tangent plane; some examples of function of a vector variable; the structure of an n-dimensional directional derivatives. vector space; an example of a 33-min. B&W Film or Videotape 4-dimensional vector space; 27-0303 Purchase $220 Rental $22':' generalizing the concepts of distance and limits to n-dimensional vector spaces. The Chain Rule Generalizing the Chain. Rule to a 32-min. B&W Film or Videotape function of several real 27-0301 Purchase $215 Rental $22. variables; using the chain rule to find higher order derivatives; some examples. Calculus of Several Variables The special case of 2 independent 38-min. B&W Film or Videotape variables; a geometric interpre- 27-0304 Purchase $250 Rental $25. tation; the concept of a partial derivative; some special cautions; the partial derivative in terms Integrals Involving Parameters of "slices" of a surface; the Physical motivation; geometric concept of a tangent plane to a interpretation; differentiating surface. ff(x,y) dy; variable limits of 35-min. B&W Film or Videotape 27-0302 Purchase $230 Rental $23. a integration; some subtleties. 27-min. B&W Film or Videotape 27-0305 Purchase $180 Rental $20.

PARTIAL DERIVATIVES - Complete Set

Films/Videotapes Study Guide Complete set of six B&W Pretest, chalkboard photographs, 16 mm films and videotapes reading assignments, problems, 27-1300 Purchase $1185 (SAVE $105) solutions, quiz. 306 pp. (One per student recommended.) 30 Day Rental $122 (SAVE $10) 27-2300 Purchase $10.00 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, A Complete Self-Study Subject. Addison-Wesley, 1968, 818 pp. The set offUms/videotapes described above can be used as a complete self- 26-3000 Purchase $16.95 each. study subject when accompanied by the Study Guide, S4ggested Text, and Supplementary Notes Supplementary Notes. A supplement to the text intro- ducing the concept of mathematical structure and expanding on difficult topics in Calculus of Several Variables. 182 pp. 27-4000 Purchase $5.00 each.

16 17 Exact Differentials The "Game" of Matrices The differential of f(x,y); the n by n matrices; defining equality definition of the total dif- of two matrices; adding two ferential; the meaning of an matrices; -structural properties exact differential; applications of matrix arithmetic; some to equations of the form f(x,y)=0 differences tvtween matrix and numerical arithmetic; non- 29-min. B&W Film or Videotape singular matrices,;. introduction 27-0306 Purchase $195 Rental $20. to matrix algebra; using determinants to study non-singular matrices. Matrix Algebra 41-min. B&W Film' or Videotape 27-0402 Purchase $265 Rental $27. Five B&W 16mT Films or Videotapes Inverting a Matrix' Linearity Revisited Finding the inverse of a non- Properties of linear functions; the concept of "locally" linear singular matrix; interpretation in terms of matrix algebra, using the linear part ofw to study w = f(x,y) in "small" functions, and geometry; discussion of when a matrix is singular neighborhoods; systems of linear equations; matrix notation how to determine whether a matrix motivating matrix multiplication. Can be inverted. 45-min. B&W Film or Videotape 47-min. B&W Film or Videotape 27-0403 Purchase $285 Rental $29. 27-0401 Purchase $300 Rental $30. Inverting More General Systems of Equations A review of inverting linear systems; inverting more general (i.e., non-linear) systems; the Jacobian; some examples; discussion of various pitfalls. 28-min. B&W Film or Videotape 27-0404 Purchase $190 Rental $20.

MATRIX ALGEBRA - Complete Set

Films/Videotapes Study Guide Complete set of five B&W Pretest, chalkboard photographs, 16 mm films or videotapes . reading assignments, problems, solutions, quiz. 262 pp. (One 27-1400 Purchase $1165 (SAVE $100) per student recommened.) 25 Day Rental $119 (SAVE $10) 27-2400 Purchase $8.50 eacj. Suggested Text (10% Discount on five or afore.) Calculus and Analytic Geometry A Complete se*study subJect. (Fourth Edition) by G.B. Thomas, The setoffilme/videopapes described Addison-Wesley, 1968, 818 pp. above can be used asaacmplete self- 26-3000 Purchase $16.95 each. studysubject whamaccoMpanied by the Study (kids, Suggested Text, and Supplementary Notes Supplementary Notes. A supplement to the text intro- ducing.the concept of nathematical structure and expanding on difficult topics in Calculus of Several Variables. 182 pp. 27-4000 Purchase $5.00 each.

17 18 MATRIX ALGEBRA - Continued

Maxima and Minima in Several The Fundamental Theorem Variables The anti-derivative in several The meaning of relative maxima and variables; some examples; a and minima in the study of real- geometric interpretation in term valued functions of several real of areas; computing limits of variables; how to test for such certain infinite double sums by values; a geometric interpreta- means of the anti-derivative and tion; constraints and the use conversely. of the chain rule. -26-min. B&W Film or Videotape 34-min. B&W Film or Videotape 27-0502 Purchase $175 Rental $20. 27-0405 Purchase $225 Rental $23. Multiple Integration and the Jacobian Multiple Integration A review of the definite integral and change of variable; an Five B&W 16mm example; the problem when we deal Films or Videotapes with more than one independent Double Multiple Sums variable; mapping a region of the xy-plane into a region in the Physical motivation in terms of uv-plane; the role of the Jacobian variable density; geometric in change of variable problems interpretation; application to involving multiple integration. finding the mass of asquare plate; upper and lower bounds; 33-min. B&W Film or Videotape generalization; multiple sum 27-0503 Purchase $220 Rental $22. notation limits involving multiple sums. Introduction to Line Integrals 30-min. B&W Film or Videotape The definition of a line integral; 27-0501 Purchase $205 Rental $21. distinguishing a line integral from a double integral; some examples; some general properties of line integrals; viewing the line integral as a definite integral. 24-min. B&W Film or Videotape 27-0504 Purchase $165 Rental $20.

MULTIPLE INTEGRATION- Complete. Set

Films/Videotapes Study Guide Complete set of five B&W Pretest, chalkboard photographs, 16 mm films or videotapes reading assignments, problems, 27-1500 Purchase $945 (SAVE $80) solutions, quiz. 290 pp. (One 25 Day Rental $99 (SAVE $10) per student recommended.) 27-2500 Purchase $9.50 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, A Complete Self-Study Subejct. Addison-Wesley, 1968, 818pp. The set offilms/videotapeo described above can be used as a complete self- 26-3000 Purchase $16.95 each. study subject when accompanied by the Study Guide, Suggested Text, and Supplementary Notes Supplementary Notes. A supplement to the text intro- ducing the concept of mathematical structure and expandingon difficult topics in Calculus of Several Variables. 182 pp. 27-4000 Purchase $5.00 each.

18 19 Green's Theorem , Functions of a Complex Variable A discussion of simply-connected Rules which assign complex numbers regions; the statement of Green's to other complex numbers; a Theorem; an outline of the proof; geometric interpretation; an some comments about the theorem analytic and graphical introduc- showing how line integrals may tion to limits; derivatives of be related to multiple integrals; complex functions; Laplace's some examples; applying Green's equation. Theorem to regions which are 35-min. B&W Film or Videotape not simply-connected. 28-0102 Purchase $230 Rental $23. 40-min. B&W Film or Videotape 27-0505 Purchase $260 Rental $26. Conformal Mappings Review of mappings of the xy- plane into the uv-plane; the Complex Variables definition of a conformal mapping; applications; conformal Five BMW 16mm mapping in the study of Laplace's Films or Videotapes equation; boundary value The Complex Numbers problems. Development of the real numbers; 36-min. B&W Film or Videotape complex numbers as a natural 28-0103 Purchase $235 Rental$24. outgrowth of the real numbers; arithmetical structure; polar coordinates and complex numbers; Sequences and Series applications; DeMoivre's Theorem; The concept of sequences and extracting the nth roots of a series applied to complex number. numbers; a pictorial interpretation; defining sin z, log z, etc. 43-min. B&W Film or Videotape in terms of convergent power 28-0101 Purchase $275 Rental $28. series; application to series of real numbers;interva1 of convergence. 33-min. B&W Film or Videotape 28-0104 Purchase $220 Rental $22.

COMPLEX VARIABLES - Complete Set Films/Videotapes Study Guide Complete set of five B&W Pretest, chalkboard photographs 16 mm films or videotapes reading assignments, problems, solutions, quiz. 370 pp. 28-1100 Purchase $1090 (SAVE $95) (One per student recommended.) 25 Day Rental $110 (SAVE $10) 28-2100 Purchase $12.00 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, A Complete Self -Study Subject. Addison-Wesley, 1968, 818 pp. The set of filatelvideotapes described above can be used as a complete self - 26-3000 Purchase $16.95 each. study subject Ohm accompanied by the Study Guide, Suggested Text, and Supplementary Notes SiOlgewentar0 !Votes. A supplement to the text, providing background information on number systems and expanding on the concepts of linear inde- pendence and differential operators. 92 pp. 28-4000 Purchase $4.00 each.

19 20 COMPLEX VARIABLES - Continued.

Integrating Complex Functions Linear Differential Equations A review of the definite integral; Examples of non-linear differential extending the results to the equations; the definition of a case of complex numbers; line linear differential equation; integrals; integrating analytic some examples; properties of functions; integrals along linear equations; finding the closed curves. general solution of a linear 34-min. B&W Film or Videotape differential equation. 28-0105 Purchase $225 Rental $23. 35-min. B&W Film or Videotape 28-0202 Purchase $230 Rental $23. Differential Equations Solving the Linear Equation Seven B&W 16mm L(y) = 0; Constant Coefficients Films or Videotapes Trying for solutions in the form

The Concept of a General Solution y = er ; the problems involved Given f(x,y,y') does the equation with r being a non-real number; have a solution and if so is the the general concept of the solution unique? Some examples. reduced or homogeneous equation; Clairaut's Equation. The what happens if r is a repeated definition of a general solution. root of the auxiliary equation; Application to certain first some examples. degree differential equations. 19-min, B&W Film or Videotape More on exact differentials. 28-0203 Purchase $130 Rental $20. 34-min. B&W Film or Videotape 28-0201 Purchase $225 Rental $23.

DIFFERENTIAL EQUATIONS- Complete Set

Films/Videotapes Study Guide Complete set of seven B&W Pretest, chalkboard photographs 16 mm films or videotapes reading assignments, problems, 28-1200 Purchase $1300 (SAVE $115) solutions, quiz. 458 pp. 35 Day Rental $143 (SAVE $10) (One per student recommended.) 28-2200 Purchase $15.00 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, ACoarptete SeZP.Study Subject. Addison-Wesley, 1968, 818pp. The set offilms/Videotapes described above can be used as a oomplete self- 26-3000 Purchase $16.95 each study subject when accompanied by the Study Guide, Suggested Text,- and Supplementary Notes A4ppiementary Notes. A supplement to the text, providing background information on, number systems and expanding on'the concepts of linear inde- pendence and differential operators. 92 pp. 28-.4000 Purchase $4.00 each.

20 Undetermined Coefficients Laplace Transforms Find a solution of L(y) = f(x) Functions of exponential order; in the special case that the the definition of the Laplace coefficients are still constants transform of a function; computing and f(x) is either a polynomial, the Laplace transform of some an exponential function, or a special functions; some notes on function of the form sin mx or. Laplace transforms; the linear cos mx. The meaning of un- aspects of Laplace transforms; determined coefficients; the role a key property about Laplace of the reduced equation; the transforms; applications to method of guessing a trial linear differential equations; solution. Some applications. Lerch's Theorem. 29-min. B&W Film or Videotape 38-min. B&W Film or Videotape 28-0204 Purchase $195 Rental $20. 28-0207 Purchase $250 Rental $25.

Variation of Parameters A method for handling L(y) = f(x) Linear Algebia for any linear equation and more general categories for f(x); the Eight Ballemm derivation of the technique; how Films or Videotapes the technique is used; some Vector Spaces examples; a discussion of why An axiomatic definition of this technique is so valuable. structure; some important theorems; discussion of how the 24-min. B&W Film or Videotape axiomatic definition generalizes 28-0205 Purchase $165 Rental $20. the n-tuple definition; a geometric interpretation; the concept of a subspace. Power Series Solutions A review of previous techniques; 31-min. B&W Film or Videotape a key existence theorem; using 28-0301 Purchase $210 Rental $21. power series to find an existing solution; some examples. 33-min. B&W Film or Videotape 28-0206 Purchase $220 Rental $22.

LINEAR ALGEBRA - Complete Set Films/Videotapes Study Guide Complete set of eight B&W Pretest, chalkboard, photographs 16 mm films or videotapes reading assignments, problems, solutions, quiz. 398 pp. 28-1300 Purchase $1670 (SAVE $145) (One per student recommended.) 40 Day Rental $176 (SAVE $10) 28-2300 Purchase $13.00 each. Suggested Text (10% Discount on five or more.) Calculus and Analytic Geometry (Fourth Edition) by G.B. Thomas, A Complete Self -Study Subject. Addison-Wesley, 1968, 818 pp. The set of films /videotapes described above can be used as a complete self- 26-3000 Purchase $16.95 each. study subject when accompanied by the Study Guide, Suggested Text, and Supplementary Notes Supplementary Notes. A supplement to the text, providing background information on number systems and expanding on the concepts of linear inde- pendence and differential operators. 92 pp. 28-4000 Purchase $4.00 each.

21 22 LINEAR ALGEBRA - Continued

Spanning Vectors Eigenvectors Definition of spanningvectors; Solving the vector equation some examples; the definition of f(v) = cv; geometric interpreta- linear dependence and linearin- tion; some applications; a matrix dependence; some examples;a new approach to eigenvectors from look at the dimension ofa vector the choice of a basis; some space; constructive examples. important invariants; some 27-min. B&W Film or Videotape examples. 28-0302 Purchase $180Rental $20. 31-min. B&W Film or Videotape 28-0306 Purchase $210 Rental $21. Constructing Bases Review of previous lecture; Dot Products definition of a basis for a vector Generalized properties of the space; some important observations; dot product; examples; the constructing a basis for a given Gram-Schmidt orthogonalization vector space; the invariance of process; constructing an ortho- the dimension of a vector space normal basis for a given vector in terms of basis vectors; using space. matrices to show when one vector is a linear combination of other 41-min. B&W Film or Videotape vectors. 28-0307 Purchase $265 Rental $27. 36-min. B&W Film or Videotape 28-0303 Purchase $235 Rental $24. Orthogonal Functions Orthogonal functions; definition of Fourier series; some special Linear Transformations cases; constructing the Fourier Definition of a linear trans- series for some given functions formation; properties of linear and a pictorial interpretation; transformations; some examples; a discussion of errors. the relationship between linear transformations and matrices; 34-min. B&W Film or Videotape more examples; the matrix of a 28-0308 Purchase $225 Rental $23. linear transformation relative to a particular basis. 36-min. B&W Film or Videotape 28-0304 Purchase $235 Rental $24.

Determinants Inventing a technique for telling us when n vectors can be the basis of an n-dimensional vector space. The properties which define a determinant; some consequences of these properties; some examples and "short-cuts". 39-min. B&W Film or Videotape 28-0305 Purchase $255 Rental $26.

22 23 Colloid and Surface Chemistry J. Th. G. Overbeek

Colloid and Surface Chemistry our daily lives. An understanding is a set of 55 lectures and of electrokinetic phenomena has demonstrations on surface contributed to a number of chemistry, lyophobic colloids, analytical techniques and indus- electrokinetics and membrane trial processes. And lyophilic phenomena, and lyophilic colloids. colloids not only include the extremely important polymers and Interfacial phenomena play a reversible associates, but cons- significant role in a large number titute the very basis for life of processes in the chemical, in the form of proteins and petroleum, and metallurgical nucleic acids. industries as well as in the biological processes of life iteself. Lyophobic colloids -- J. Th. G. Overbeek is Professor paints, dyes, coatings, cosmetics, of Physical Chemistry at the pharmaceuticals, food products -- University of Utrecht in the also play an important role in Netherlands.

2.4 Colloid and Surface Chemistry Adsorption, Analytical Aspect Surface Chemistry Surface or interface is a region Sixteen B&W 16mm of finite thickness. Description of (positive or negative) surface Films or Videotapes excess with Gibbs dividing sur- Introduction to Colloid Chemistry face. Guggenheim method with and its Relation to Surface two dividing surfaces. Invariant Chemistry and Electrochemistry linear combinations of surface Disperse systems are of interest excesses. both for their many applications 25-min. B&W Film or Videotape and as systems worthy of fun- 11-0105 Purchase $170 Rental $20. damental study. Their large interfacial area explains why surface chemistry and surface electro- Thermodynamics of Fluid Interfaces chemistry are intrinsic facets of The Gibbs adsorption equation colloid chemistry. and the concept of the surface 36-min. B&W Film or Videotape excess concentration. Importance 11-0101 Purchase $235 Rental $24. of -log c or-log a plots. Saturation adsorption. Critical micelle concentration. Surface Tension and Surface 48-min. B&W Film or Videotape Energies 11-0106 Purchase $305 Rental $31 Surface tension results from an inbalance of intermolecular forces. Relations between surface Spreading - Surface Films of tension and (Helmholtz and Gibbs) Insoluble Monolayers surface free energies. Hydrostatic Spreading tension, initial and pressure (Young, Laplace) and final. Neumann's triangle. modified vapor pressure (Kelvin) Influence of surfactants on at curved interfaces. spreading. Surface pressure. 40-min. B&W Film or Videotape Langmuir trough, film balance. 11-0102 Purchase260 Rental $26. Surface equation of state, surface potential, surface viscosity and elasticity. Effect of monolayers Measurement of Surface and on evaporation. Multilayers. Interfacial Tensions of 51-min. B&W Film or Videotape Liquids (1) 11-0107 Purchase $360 Rental $36. Static and dynamic measurements related to curvature of a meniscus: capillary rise or depression, maximum bubble pres- Surface Tension and Surface Structure of Solids sure, stalagmometer (drop weight). Experiments on surface tension. 25-min. B&W Film or Videotape Calculation of surface (free) 11-0103 Purchase $175 Rental $18. energies. Methods of determining .surface structure and modern spectroscopy and electronic Measurement of Surface and analytical methods. How to Interfacial Tensions of obtain large specific surface area. Liquids (2) 52-min. B&W Film or Videotape Sessile or pendant drop or bubble, 11-0108 Purchase $325 Rental $33. Wilhelmi plate, du Nouy ring, surface ripples, oscillating jet. 37-min. B&W Film or Videotape 11-0104 Purchase$260 Rental $26.

24 25 Adsorption of Gases on Solids Energies and Entropy of Adsorption Physisorption, chemisorption. Relations between r, Tr (or y) and Adsorption isotherms, Langmuir, c (or p). Calorimetric and BET, Harkins and Jura, Polanyi, isosteric heats of adsorption. Frenkel, Halsey, Hill, de Boer Enthalpies and entropies in (t-plot). Heterogeneity. Steps models, such as Langmuir, B.E.T., in isotherms. Capillary mobile monolayer. Conversion of condensation, hysteresis, pore adsorption isotherm into equation size distribution. of state and vice versa. 54-min. B&W Film or Videotape 41-min. B&W Film or Videotape 11-0109 Purchase $330 Rental $33. 11-0112 Purchase $265 Rental $27.

Chemisorption - Adsorption from Charged Interfaces - Electro- Solution chemistry of the Phase Boundary Chemisorption, monolayer, large Lippmann equation. Electro- heat of adsorption, Freundlich neutrality of interfaces. (Kuster) isotherm. Adsorption Completely reversible and com- from solution is always competi- pletely polarizable electrodes. tive. Determination of adsorption. Potential determining ions. Traube's rule (standard free 39-min. B&W Film or Videotape energy of adsorption per CH2-group. 11-0113 Purchase $255 Rental $26. 30-min. B&W Film or Videotape 11-0110 Purchase $210 Rental $21. Surface Potentials - Structure of the Electric Double Layer Outer and inner electric poten- Adsorption from Solution, tial difference. "Real potential." Continued. Contact Angles Double layer. Poisson-Boltzmann Adsorption of polymers, of ions. equation. Gouy, Chapman, Stern Negative adsorption. Chromato- models. Thickness and capacity graphy. Contact angle. Influence of double layer. of surfactants. Wetting, dewet- ting, froth-flotation. Contact 54-min. B&W Film or Videotape angle hysteresis. 11-0114 Purchase $380 Rental $38. 42-min. B&W Film or Videotape 11-0111 Purchase $295 Rental $30.

SURFACE CHEMISTRY - Complete Set Study Guide Films/Videotapes Lecture summaries and discus- Complete set of sixteen B&W sions, photographs, reading 16 mm films or videotapes. assignments, problems, and 11-1100 Purchase $3900 (SAVE $580) problem solutions. 278 pp. 80 Day Rental $410 (SAVE $45) (One per student recommended.) 11-2100 Purchase $12.00 each. Suggested Text (10% Discount on five or more.) Physical Chemistry of Surfaces by A.W. Adamson, Interscience, A Complete Self-Study Subject. (Second Edition), 1967, 747 pp. The set of films/videotapes described 11-3100 Purchase $21.75 each. above can he used as a complete self- study subject when accompanied by the Study Guide and Suggested Text.

25 26 SURFACE CHEMISTRY - Continued

A Few Special Aspects of Double Interaction Between Spherical Layers Double Layers - Schiller Layers Negative adsorption of co-ions. and Other Experiments on Double Ion-exchange. Point of zero Layer Interaction charge. Double layers in ionic Derjaguin's method for spheres... crystals and semiconductors. small separations...large Rate of charge adjustment. separations...Schiller layers, 42-min. B&W Film or Videotape Tobacco mosaic virus, lipid layers. 11-0115 Purchase $270 Rental $27. 36-min. B&W Film or Videotape 11-0203 Purchase $250 Rental $25. Free Energy of Double Layers - Electrocapillarity Van der Waals Forces Calculation of surface free Van der Waals forces responsible r energy: Chemical and electrical for long range attraction... parts. Electrocapillary curve. additivity...flat plates, 'Charge and capacitance for spheres. Hg /aqueous solutions. Other double layers: inorganics, oil, 29-min. B&W Film or Videotape and-gas, all against water. 11-0204 Purchase $195 Rental $20. 55 min. B&W Film or Videotape 11-0116 Purchase $385 Rental $39. Van der Waals Forces - Influence of a Medium - Retardation- Lifshitz Method - Experiments Van der Waals forces between Lyophobic Colloids particles in a medium always attractive...retardation at Fifteen B&W 16mm large distances...Lifshitz' Films or Videotapes approach...experiments. Introduction on Stability of Lyophobic Colloids 39-min B&W Film or Videotape 11-0205 Purchase $255,Rental $26. Size Range (lnm 1Pm) of col- loidal particles...distinction between lyophobic and lyophilic coldoids...emphasis on stability Combinations of Attraction and,,,. and coagulation (= flocculation) Repulsion - Application to of lyophobic colloids and other Colloid Stability geometries. Potential energy curves...rule of Schulze and Hardy...flocculation 29-min. B&W Film or Videotape series...DLVO theory...ions with 11-0201 Purchase $195 Rental $20. abnormal flocculating power... irregular series...charge reversal. Interaction Between Two Double 38-min. B&W Film or Videotape Layers 11-0206 Purchase $270 Rental $27. Two parallel flat double layers... Poisson-Boltzmann equation... constant charge or constant Colloid Stability - Lyotropic Effects - Repeptization surface potential...change in Gibbs free energy...Langmuir's Influence of lyotropic series on force method...Stern correction. flocculation...requirements for reversibility (repeptization)... 47-min. B&W Film or Videotape secondary minimum...mutual 11-0202 Purchase $330 Rental $33. flocculation. 40-min. B&W Film or Videotape 11-0207 Purchase $280 Rental $28.

26 2`7 Foams and Soap Films (1) Steric Stabilization - Sensitized Coarsening of foams by diffusion, Flocculation drainage, and breaking...color Stabilization by adsorbed polymers and thickness of soap films...... anchor and tail (or loop)... black soap films...self-healing repulsion by osmotic effect and Gibbs-Marangoni effect... by restriction of possible con- drainage mechanisms...Van der formations...examples...sensitized Waals and repulsive forces. flocculation due to bridging... applications. 39-min. B&W Film or Videotape 11-0208 Purchase $275 Rental $28. 41-min. B&W Film or Videotape 11-0211 Purchase $290 Rental $29

Foams and Soap Films (2) Second black films...foam Coarse Suspensions - Rheology breakers...light scattering and Sediment density and flow behavior breaking due to surface fluctua- as funciton of suspension tions...sharp transition of stability...thixotropy...gel colored (silver) to black formation by flocculation or films...applications of foams. addition of third phase... applications. 38-min. B&W Film or Videotape 11-0209 Purchase $270 Rental $27. 57-min. B&W Film or Videotape 11-0212 Purchase $395 Rental $39.

Emulsions - Suspensions in Non-Aqueous Media Sol Preparation, Dialysis and Emulsions stabilized by surfactants Ultrafiltration or by finely divided solids... Dispersion and condensation creaming, coalescence, breaking... methods...preparing isodisperse 0/W and W/0 emulsions...inversion sols...dialysis, electrodialysis, ...applications of emulsions... ultrafiltration...demonstration non-aqueous suspensions: stabi- of preparation of several sols... lity, as affected by electrolytes, spontaneous emulsification. permitivity, and particle concentration...applica- 57-min. B&W Film or Videotape 11-0213 Purchase $395 Rental $39. tions. 39-min. B&W Film or Videotape 11-0210 Purchase $275 Rental $28.

LYOPHOBIC COLLOIDS - Complete Set

Films/Videotapes Study Guide Complete set offifteenB&W Lecture. sUmmarle4 and 16 mm films or videotapes. Slone, photographer reading eissignmentS, PrObiemer and 11-1200 Purchase $3840 (SAVE $575) 75 Day Rental $399-(SAVE $44) Problem solutions: 302 PP. (One per student recommended.) Suggested Texts 11-2200 Purchase $13.00 each. Physical Chemistry of Surfaces by (10% OlScount on five or more-) A.W. AdaMson, Interscience, A ampieteSW414M44, Subject. (Second Edition), 1967, 747 pP. The set of fitixtivid±201,Wee described 11-3100 Purchase $21.75 each. above can be401414air -GoVieteOaf- etudY eubjact when awartkorted by Colloid Science Volume 1 edited the Study Cade and gaggeeted Text. by H. R. Kruyt, Elsevier Publish- ing COmpany, 1974, 389 pp. 11.-3200 Purchase $24C0t each

27 28 LYOPHOBIC COLLOIDS - Continued

Particle Size Determination - Applications of Electrokinetics Optics Influence of counterion charge Microscope...sedimentation... and concentration on zeta-potential Coulter counter...electron- ...Concept of "slipping plane"... microscope...ultramicroscope... Techniques for determining Tyndall light...Rayleigh and Mie electrophoretic mobility and for theories...higher order Tyndall preparative electrophoresis... spectra...birefringence... Applications, including fire tactoids. hazards of high streaming poten- 56-min. B&W Film or Videotape tials, separation of protein 11-0214 Purchase $395 Rental $39. mixture, concentrating sols by electrodecantation, electrodeposition of latex and pigments Kinetics of Flocculation from suspensions. Rapid and slow flocculation... 53-min. B&W Film or Videotape Von Smoluchowski's theory... 11-0303 Purchase $370 Rental $37. extension by Fuchs to slow flocculation...log W - log c curves ...experiments...influence of stirring. Non-Equilibrium Thermodynamics 57-min. B&W Film or Videotape Applied to Electroosmosis and 11-0215 Purchase $345 Rental $35. Streaming Potential Entropy production in irreversi- ble phenomena...Fluctuations... Onsager's reciprocal relations Electrokinetics and ..Saxen's relation between Membrane Phenomena electroosmosis and streaming potential. , Nine B&W 16mm 38-min. B&W Film or Videotape Films or Videotapes 11-0304 Purchase $250 Rental $25. Introduction. The Four Electrokinetic Effects. The Zeta-Potential Schmid Membrane Model. Non- Relationships between liquid Equilibrium Thermodynamics of motion and electric field near Electrophoresis and Sedimentation an interface...Electroosmosis, Potential electrophoresis, electrodeposition, In Schmid model for membrane streaming potential, streaming is replaced by density of fixed current, migration potential. charges...Electrophoresis and sedimentation potential con- 54-min. B&W Film or Videotape nected by Onsager relation... 11-0301 Purchase $380 Rental $38. Concentration dependence of rate of sedimentation. Theory of Electrophoresis 30-min. B&W Film or Videotape Influence of Ka (K = reciprocal 11-0305 Purchase $205 Rental $21. thickness of double layer, a = radius of particle) on electrophoretic mobility.. Relaxation Introduction to Membrane effects. Potentials Treatment based on galvanic 29-min. B&W Film or Videotape cell reaction...Reversible 11-0302 Purchase $195 Rental $20. - electrodes or salt bridges. 26-min. B&W Film or Videotape 11-0306 Purchase $175 Rental $20

28 29 Membrane Potentials. Incomplete Selectivity; B3 -Ionic Potentials; Lyophilic Colloids Filtration through Membrane Fifteen B&W 16mm Selectivity based on fixed Films or Videotapes charge of the membrane...Meyer- Sievers - Theorell theory of it Introduction. Solutions of complete selectivity...Bi-ionic Lyophilic Colloids. Examples potentials...Desalination by of Macromolecules electrodialysis...Flow of ions, Solutions of polymers...Survey solvent, electric current of biocolloids, synthetic poly- through membrane. mers and polycondensates, their role in nature and fields of 40-min. B&W Film or Videotape application. 11-0307 Purchase $260 Rental $26. 55-min. B&W Film or Videotape 11-0401 Purchase $385 Rental $39. The Donnan Equilibrium Donnan treatment of distribution of ions, osmotic Polymer Synthesis. The Impor- pressure and membrane potential tance of Polymers. Their Spe- ...Non-ideality based on cific Role inhomogeneity of Donnan phase. Free radical polymerization. Kinetic aspects. Pearl-and 39-min. B&W Film or Videotape emulsion-polymerization. Ionic 11-0308 Purchase $255 Rental $25. polymerization. Stereo-regular polymers. Polycondensation. Intra - and intermolecular The Donnan Potential. The forces, rubber elasticity, in- Suspension Effect formation storage in biopolymers. Donnan potential treated as a series of three diffusion 55-min. B&W Film or Videotape potentials...Importance of con- 11-0402 Purchase $385 Rental$39. tributions of liquid junctions with saturated KC1..The suspension (Wiegner-Pallmann) Statistics of Polymer Coil Con- effect. formations. Viscosity of Poly- 30-min. B&W Film or Videotape mer Solutions 11-0309 Purchase $205 Rental $21. Random flight statistics. Dis- tribution function of end-to- end distance. "Statistical chain element." Viscosity of solutions of coils.

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ELECTROK/NETICS - Complete Set. Study Guide Films/Videotapes Lecture summaries and discus- Complete set of nine B&W sions, photographs, reading 16 mm films or videotapes. assignments, problems,.and problem solutions. 156 pP 11-1300 Purchase $2065 (SAVE $230) (One per student recoMMended.) 45 Day Rental $217 (SAVE $16)' 11-2300 Purchase $6.50 each Suggested Text (10% Discount on five or more.) Colloid Science Volume 1 Edited AComplAte0BWIf-Sti4 by H.R. Rruyt, Elsevier Publish- The set of described ing Company, 1574, 389 pp. above can be used ae aompiete self- 11-3200 Purchase $26.00. etudya:44feet when, asevevanied by Me Study Guide and Suggested Text.

30 29 LYOPHILIC COLLOI - continued

Rubber Elasticity. Light Scattering Force vs. elongation relation Light Scattering in Rayleigh for ideal rubber derived from approximation (size

Thermodynamics of Polymer Solu- The Ultracentrifuge tions. Osmotic Pressure Rate of sedimentation and diffu- Flory-Huggins theory. Quasi- sion. The Svedberg equation. lattice model. Energy, entropy Shape factor. Sedimentation and free energy of mixing "Very equilibrium. Archibald method. dilute" solutions. Theta-tem- Applications. perature. Fractionation. 51-min. B&W Film or Videotape 52-min. B&W Film or Videotape 11-0408 Purchase $320 Rental $32. 11-0405 Purchase $325 Rental $33.

Polyelectrolytes. Examples, Molecular Weight Distributions. Titration Curves, Electrophoresis Determination of Average Molecu- Examples of natural and synthetic lar Weight by Osmotic Pressure, polyelectrolytes. Titration Chemical Analysis, Viscosity curve gives information on elec- Integral. (or cumulative) and trical free energy of coil. Ti- differential molecular weight tration of proteins. Iso-electric distributions. Different kinds point. of average molecular weights. Number average M. Viscosity 38-min. B&W Film or Videotape average M. 11-0409 Purchase $250 Rental $25. 42-min. B&W Film or Videotape 11-0406 Purchase $270 Rental $27.

LYOPHILIC COLLOIDS - Complete Set Films/Videotapes Study Guide Complete set of fifteen B&W Lecture summaries and.Oiscus- 16 pm films or videotapes. sions, ptotographs, 11-1400 Purchase $4125 (SAVE $615) assignments, Problems, and problem solutions. 306 PP- 75 Day Rental $430 (SAVE $48> (One per student recommended.) SuggeSted Text 11-2400 Purchime $13.00 each. (10% Discount on five or more.) Principles, of. Polymer Chemistry by Paul J. Flory, Cornell University A ampieteStaf-Study, Subject. Press, 1971, 672 pp. The eetof fibmioideotaPes Oummibed 11..3400 Purchase $24.50 each. atom otm be mod as a catelete sett- study subjeat when addlatrented the StudyGuideand SefigeetedText.

30 31 Polyelectrolytes. Viscosity, Association Colloids. Micelle Light Scattering, Osmotic Pressure, Formation. Phase Diagrams Sedimentation Critical micelle concentration. Three causes for the electro- Size and shape of micelles. Law viscous effect are expansion of of mass-action explains sharp coils, deformation of double c.m.c. Driving force for micelle layer and mutual repulsion of formation mostly entropy based. polyions. Light scattering de- Influence of salt concentration pends strongly on 0 and c. of c.m.c. and micelle size. 49-min. B&W Film or Videotape 55-min. B&W Film or Videotape 11-0410 Purchase $310 Rental $31. 11-0413 Purchase $335 Rental $34.

Coacervation, Salting Out Association Colloids. Micellar Precipitation of polyelectro- Size. Thermodynamics. Applica- lytes by organic non-solvents tions and electrolytes..."Salting out" Micelle molecular weight ...Lyotropic series...Properties best by light scattering. Cor- of coacervates. Complexcoacer- rection for negative adsorption vates between polycations and of co-ions. Thermodynamics of polyanions...Double Schulze- micelle formation. Hartley, Hardy rule. Incompatibility of Debye, Stigter. Cell membrane. non-charged polymers. Nucleo- proteins and globulins. 50-min. B&W Film or Videotape 11-0414 Purchase $315 Rental $32. 49-min. B&W Film or Videotape 11-0411 Purchase $345 Rental $35. Gels Structural requirements for gel- Complexcoacervates. ation. Sharp gel point. Crystal- Electrophoresis. Structure of line regions as crosslinks. Proteins and Nucleic Acids Syneresis. Soap gels, jelly and Buchner-effect and decomposition curd. Swelling. "Memory" of in electrophoresis. Autocomplex- gels. Theory of swelling. Poly- coacervation. Theory of complex- electrolyte gels.Mechano- coacervation based on Flory- chemistry. Huggins theory with addition of electrostatic interaction. 48-min. B&W Film or Videotape Microencapsulation. Helical 11-0415 Purchase $335 Rental $34. structures in proteins and nucleic acids. Denaturation.

59-min.136,107 Film or Videotape 11-0412 Purchase $395 Rental $39.

A Visit with J. Th. G. Overbeek The serious lecturer of the Colloid and Surface Chemistry series gives way to the warm human being behind the: theories and demonstrations. In an in-' terview with John T. Fitch of the MIT Center for Advanced Engineer-. ing Study, Theo Overbeek recounts his life story (baginning with his "firm decision* not to be a teacher!) including the development of the D.L.V.O.theory. 30-min. Color Videotape 11-0501 Purchase $210 Rental $21.

32 31 Computer Languages Michael L. Dertouzos

Computer Languages: Structure and . the translation of a language Interpretation focuses on issues into the constructs of another which must be addressed in the language. design or implementation of any programming system -- independent The videotapes in this series of its individual details. These comprise un-edited lectures and issues include: classroom discussions as well as the means by which a variable is four specially prepared studio associated with its value. productions.

. the time at which the value of a variable is calculated. Michael L. Dertouzos is Professor the logical power of a language of Electrical Engineering and Computer Science at MIT and the efficiency and expressibility Director of the MIT Laboratory for of a language. Computer Science (formerly Project the use of functions to process MAC). other' functions.