MATH 100 Course Outline

MATH 100 Course Outline Sections A02, A05, A06, Spring 2010

Note it is possible, but unlikely, that unforeseen circumstances may cause me to alter some of the information in the document. I will announce any such alterations in class. If you miss any announcement because of inattention or absence from class, then you must accept the consequences of missing it.

Instructor: Jing Huang Phone: (250) 721-7447 Office: SSM A549 E-Mail: huangj at uvic dot ca Office Hours: Wed 4:30 – 5:30 pm and Thur 11:00 am – 12:00 pm Web Page: http://www.math.uvic.ca (look under Course Pages) Lectures: Mon, Wed, Thur 3:30 – 4:20, location Elliot 168 Tutorials: Tue 3:30 – 4:20 (T02, SSM A-102; T05, MAC D-115; T06, MAC D-101)

Prerequisites: Minimum grade of B in one of Principles of Mathematics 12, Pre-calculus 12, or equivalent, or Math120, or pass the Placement test. Complete details are in Math 100 course outline for all sections 2009 Fall, which can be found at the URL above.

Course Credit: MATH 100 is the first course in a two-course (MATH 100 and MATH 101) introduction to single variable calculus intended for students who plan to specialize in one or more of mathematics, statistics, physics, chemistry, computer science, engineering, economics (in the B.Sc. program), or mathematics education (secondary program). Note that Credit cannot be obtained for both MATH 100 and MATH 102.

Textbook: Calculus: Early Transcendentals, 7th Edition, Edwards and Penney, published by Pearson/Prentice Hall. The previous editions (6th and 5th) are also usable.

Calculators: The department has adopted a standard calculator: the Sharp EL-510R. This is the only calculator that will be permitted for use in any course offered by the department. It can be purchased at the UVic Bookstore, or elsewhere, for less than $10.

Course Content: Topics are listed in the Recommended Problems table, see page 3 of the course outline.

Math & Stats Assistance: If you need assistance, you are encouraged to go to the Math & Stats Assistance Centre (locations and hours of operation are posted at www.math.uvic.ca). This is a free service. It is staffed by able graduate students who are paid to help you. The Department of Mathematics and Statistics also maintains a list of private tutors. You can get a copy of this list from the department’s main office in SSM A425.

Tutorials: Math 100 has a one-hour weekly tutorial component, which you should regard as a fourth hour of instruction. You will hand in homework at the tutorials. Lengthy worked examples which are crucial information for passing the course will be presented in the tutorial, not the lecture. In addition, some topics of the material will be presented in lecture format ONLY in the tutorial. You should plan on 100% attendance at the lectures and the tutorials.

Homework: There will be four homework assignments to be written out and handed in at your tutorial for grading. Grades will be recorded by your tutorial instructor, and will count 12% in total toward your final grade. Important note regarding plagiarism of homework solutions: experience shows that for every mark a person picks up by doing this, they lose anywhere from eight to ten marks, on the midterms and the final examination, because they do not understand the material. Evaluation: All tests will be set in the same format: part multiple-choice, part full-answer. Many of the test questions will be similar to examples done in class, and to homework exercises. Sample final exam is available on the course webpage. Individual participation during tutorials will be determined based on marks for solutions to selected problems submitted by students at the end of each tutorial. COMPONENT DATE WEIGHT Homework assignments To be announced 12% Midterm 1 Thursday, February 11 12% Midterm 2 Thursday, March 18 12% Tutorial participation ALL 4% Final Examination To be announced 60% There will be no make-up midterm tests. If you miss a test due to illness, accident, or family affliction, you must notify me as soon as possible, and provide a written request to be excused as well as supporting documentation. In such cases, then your score on the rest of the term’s work will be used to determine the score on the excused paper. Once marked, tests and assignments will be returned in class, or can be claimed during office hours. Any term work that is not collected by the end of the final examination will be recycled. If you have a question or concern about your mark on a test or assignment, you must bring it to my attention within 7 calendar days of the date when it was returned in class.

The usual conversion of course percentage to letter grade is:

Letter A+ A A- B+ B B- C+ C D Grade Lower 90% 85% 80% 75% 70% 65% 60% 55% 50% Bound

Departmental Grading Policy for Multi-Sectioned Courses: The Department of Mathematics and Statistics has adopted the following policy in order to try to provide equity in grading in its multi-section courses: The distribution of grades assigned in each section of a multi‐section course must be consistent with the distribution of letter‐grades achieved by the section on the final examination, or on the common portion of the final examination. This rule must be applied with enough flexibility to permit assigning the same grade to students in the same section who have attained the same Course Score, but with enough rigidity to guard against grade inflation or deflation. A detailed explanation of how this policy is implemented is available at http://www.math.uvic.ca/undergrad/grading/htlm or, the document Explanation of the Multi‐ Section Grading Policy of the Department of Mathematics and Statistics is available from the department General Office, Social Sciences and Mathematics Building (SSM) A425.

Final Examination:

Students are strongly advised NOT to make final plans for travel or employment during the final examination period since special arrangements will NOT be made for examinations that may conflict with such plans.

Off-schedule Final Examinations are not given except in accordance with the regulations on Illness, Accident, or Family Affliction at Exam Time in the UVic Calendar. Deferred status is only granted for Final Examinations.

Commitment to Inclusivity and Diversity: The University of Victoria is committed to promoting, providing and protecting a positive, supportive and safe learning and working environment for all its members. Suggested Problems

Section Seventh or Sixth Edition Fifth Edition 2.1 Tangent Lines odds 1-27; 28; odds 29-35 odds 1-27; 28; odds 29-35 2.2 The Limit Concept odds 1-27; all 29-36; odds 37-45 odds 1-27; all 29-36; odds 37-45 2.3 More About Limits odds 1-23; all 25-28; odds 29-57 odds 1-23; all 25-28; odds 29-57 2.4 Concept of Continuity odds 1-7; all 9-14; odds 15-47 odds 1-7; all 9-14; odds 15-47 3.1 The Derivative & Rates of Change odds 1-29; odds 37-51 odds 1-29; odds 37-51 4.2 Differentials & Approximations odds 9-33; all 40-42; 49, 50. odds 9-33; all 40-42; 49, 50. 3.2 Basic Differentiation Rules odds 1-49 odds 1-49 odds 1-19; all 21-25; odds 27-43; odds 1-19; all 21-25; odds 27- 3.3 The Chain Rule & Related Rates all 45-48; odds 49-61 43; all 45 – 48; odds 49-61 3.4 Derivatives of Algebraic Functions odds 1-43; all 45-55 odds 1-43; all 45-55 odds 1-21; all 28-30; odds 33-37; odds 1-21; all 28-30; odds 33- 3.5 Max. & Min. on Closed Intervals all 47-52 37; all 47-52 3.6 Applied Optimization Problems (tutorial) odds 1-41 odds 1-41 3.7 Derivatives of Trigonometric Functions odds 1-59; all 75-77 odds 1-59; all 75-77 3.8 Exponential & Logarithmic all 1-10; odds 17-43; Functions odds 1-61 AND: Sect 7.4: odds 35-51 3.9 Implicit Differentiation & Related odds 1-9; odds 15-27; all 35-37; odds 1-9; odds 15-27; all 35-37; Rates odds 39-57 odds 39-57 3.10 Successive Approx. & Newton's Method odds 1-19; 29; 32, 33 odds 1-19; 29; 32, 33 4.3 Increasing & Decreasing Functions odds 1-23; 18 odds 1-23; 18, 22, 24 4.4 The First Derivative Test odds 1-41 odds 1-41 4.5 Simple Curve Sketching odds 1-9; odds 15-47 odds 1-9; odds 15-47 4.6 Higher Derivatives & Concavity odds 1-75; all 77-82 odds 1-75; all 77-82 4.7 Curve Sketching & Asymptotes odds 1-53 odds 1-53 4.8 Indeterminate Forms odds 1-29 Sect 8.3: odds 1-9, all 13-29 4.9 More Indeterminate Forms odds 1-19; all 20-24 Sect 8.4: odds 1-19; all 20-24 5.2 Antiderivatives & Initial Value odds 1-29; all 31-33; odds 35-51; odds 1-29; all 31-33; odds 35- Problems 57, 59 51; 57, 59 5.3 Elementary Area Computations odds 9-27; 29, 30; odds 31-37 odds 9-27; 29, 30; odds 31-37 5.4 Riemann Sums and the Integral odds 1-15; 21, 23 odds 1-15; 21, 23 5.5 Evaluation of Integrals odds 1-35 odds 1-35 5.6 Average Value & Fundamental odds 1-5; odds 13-45; odds 51- Theorem odds 1-5; odds 13-45; all 51-59;61 63 5.7 Integration by Substitution odds 11-49, all 51-65 odds 11-39; all 41-55 5.8 Areas of Plane Regions odds 1-41 odds 1-41 5.9 Numerical Integration (no error estimation) (tutorial) odds 1-5; odds 13-25 odds 1-5; odds 13-25