Chapter 2: Polynomial and Rational Functions

9:00 – 10:50 MWF CW 324 11:00 – 12:15 TR CW 324 http://facstaff.cbu.edu/~cgrilli/M129/M129_F12.htm

Welcome to Mathematics Immersion for Freshman Engineers (MIFE)!

You are part of an exciting program to help you succeed in your engineering or science program. A solid preparation in mathematics is the best indicator for success in many fields. Also, succeeding in this course should allow you to stay on track so that you could finish your engineering program within four years.

The course will be team-taught by: Dr. Pascal Bedrossian Cathy W. Grilli Cooper-Wilson 305 Ext. 3441 Cooper-Wilson 301 Ext. 3456 [email protected] [email protected]

Office hours: Office hours: (may change after midterm) 10:00 – 12:00 p.m. MWF 8:00 – 9:00 a.m. MWF 2:00 – 4:00 p.m. MWF 12:30 – 4:00 p.m. M Others by appointment. 12:30 – 1:30 p.m. W 3:30 – 4:30 p.m. W 9:00 – 11:30 a.m. R Others by appointment.

Catalog Description.The goals of the course are to teach the student basic concepts of college algebra and trigonometry and important concepts of calculus and its applications. Topics include: linear and quadratic equations; algebraic, exponential, and logarithmic functions and their graphs; right triangle trigonometry; trigonometric functions; the derivative & its interpretations; the definite integral and its interpretations; the Fundamental Theorem of Calculus; rules of differentiation and integration; and applications of derivatives and integrals. The course requires a graphing calculator and stresses problem solving. A student can receive credit of only one of MATH 117 or MATH 129 and for only one of MATH 129 or MATH 131. Six lectures and two recitation periods per week. Prerequisite: Math 103 or equivalent. One semester; six credits Course Goals. You will learn fundamental concepts of college algebra, trigonometry, calculus and their applications. In particular, you will learn basic concepts of functions, differentiation, and integration. You will improve your skills in problem solving and analytical reasoning.

This course addresses the Problem Solving and Decision Making General Education Outcome: - Students will be able to use appropriate mathematical, quantitative, and logical methods to solve both computational and applied problems.

Textbook. CALCULUS I with PRECALCULUS, A One-year Course, 2ndedition, Larson, Hosteller, Edwards, Houghton Mifflin Company, 2006. The CBU Mathematics Department will supply a text and you are responsible for returning it in a similar condition or replacing it by the date that grades are due for the semester.

Calculator. The course requires the TI-89 graphing calculator or similar model.

Syllabus. Functions, Derivatives, & Integrals determine the structure of the course. Within each of these categories we make extensive use of algebra and explore applications. We repeat and reinforce concepts by repeating this framework with algebraic, exponential and logarithmic, and then trigonometric functions. These topics are in the following chapters of the text. Chapter 1: Functions and Their Graphs Chapter 2: Polynomial and Rational Functions Chapter 3: Limits and Their Properties Chapter 4: Differentiation Chapter 5: Applications of Differentiation Chapter 6: Integration Chapter 7: Exponential and Logarithmic Functions Chapter 8: Exponential and Logarithmic Functions & Calculus Chapter 9: Trigonometric Functions Chapter 10: Analytic Trigonometry Chapter 11: Trigonometric Functions & Calculus Chapter 13: Advanced Topics in Trigonometry Evaluation. Homework - You are expected to read the text and complete homework assignments daily. Specified problems will be collected and graded. Quizzes and group work are other components of homework. There will be 6 in-class tests. Make-up tests will only be given in extreme circumstances. Parts of tests will be calculator-free. The topics and anticipated dates for tests follow. The numbers refer to sections in the text. 9/6 Test 1 functions, graphs, algebra review, ch. 1, 2.1- 2.5 9/23 Test 2 2.6, ch. 7, ch. 3 (concepts of limits), 4.1 10/9 Test 3 derivative rules, the rest of ch.4.1, 4.5, 8.1, 8.2, 4.6 10/30 Test 4 Ch. 5, 6, rest of 8.1, 8.3 (conceptual) optimization applications, integration, integration w/ exponential & logarithmic functions 11/20 Test 5 Trig ch 9 &10 12/4 Test 6 Trig & derivatives / integrals, law of cosines & sines, ch 11 & 13

The Final Exam is comprehensive and will be scheduled by the Registrar.

Course grade: 20% homework, quizzes, group work, projects & class participation 60% tests 20% final exam

Grading scale: A 90-100%, B 80-89%, C 70-79%, D 60-69%, F below 60%

ATTENDANCE Class attendance is expected. CBU.'s policy states that a student who misses eight hours of class may be given a failing grade for the course. If an absence is unavoidable, you are responsible for the material covered in class including assignments. Present for class means present when it begins and when it ends. An absence is any time that you are not present for a class whether that is for illness, athletic participation, or some other reason that prevents your attendance. TIME A rule of thumb for college courses is to spend 2-3 hours studying outside of class for every hour in class. Of course this is an average. If math is difficult for you, you can expect to spend more time in order to succeed. Some for whom math comes easily can learn the concepts with less time. It is extremely difficult to have a full-time job and be a full-time student. Being realistic about your time commitments can save frustration later. Study time should be fairly evenly distributed. MATH CENTER The Math Center (http://www.cbu.edu/mathcenter/overview.html), located in Cooper-Wilson 321 has free tutoring, supplementary texts, and computer software available for your assistance. Drop in during posted hours, or make an appointment.