MATH 131: Calculus Ia

Syllabus

Instructor: Michael Henle Office Hours: M 3:30-5:00, T 2-5, R 4-5 PM in King 202 Phone: X8380 (Dept), X8383 (Office) or 775-7676 (Home)

Text: Single Variable Calculus by James Stewart (S) Calculus: The Language of Change by David Cohen and James Henle (C-H)

Evaluations: Homework (10 weekly assignments due Tuesday's) 200 Two Hour Exams (October 7 and November 18) 200 Final Exam (Wednesday, December 21, 2 PM) 100 TOTAL: 500 points

Course Objectives: 1) To understand the fundamental ideas of limit, continuity, derivative and integral. 2) To understand how these apply to the 'real' world. 3) To be able to carry out numerous fatiguing calculations with functions, graphs, derivatives and integrals

Outline of the Semester:

Week of Topics Reading

September 7 Introduction to derivatives and integrals C-H /1.1-1.3 September 12 Functions and graphs C-H /2.1-2.3, S/1.1 September 19 Derivatives and difference quotients C-H /3.1-3.2, S/1.2 September 26 Integrals and their approximation C-H /3.3-3.4, S/1.3 October 3 Initial value problems, EXAM C-H /3.5, 3.8, 2.4 October 10 Review of algebra Problem sheets October 17 Limits S/2.2-2.3 Fall Break October 31 Continuity S/2.4 November 7 Theory of differentiation S/2.5-2.6 November 14 Rules of differentiation, EXAM S/3.1-3.4 November 21 Trigonometric derivatives S/3.5 November 28 Chain rule, Implicit differentiation S/3.6-3.8 December 5 Related rates S/3.9-3.10 December 12 Review: Initial value problems C-H /3.5 MATH 131: Calculus Ia

Honor Code Policy

1. Late work is normally not accepted without approval in advance. All written work must be in final form; drafts are not acceptable.

2. For exams and quizzes: all work must be yours alone without any supplementary aid: in particular, no use of books, calculators, computers, or the assistance of other people, except as explicitly allowed in the instructions. After completing each exam, the honor pledge must be written out in full and signed. (The honor pledge is "I affirm that I have adhered to the Honor Code on this assignment.")

3. For homework: collaboration with other students is encouraged. However, the written work handed in should be your own account, in your own words, of the solutions worked out with, or without, others.