# Math 1: Calculus with Algebra and Trigonometry

Last updated October 29, 2004

# Syllabus

The following is a rough syllabus for the course.

Lectures
Pages in Text
Brief Description
9/22 pp. 1 - 4 introduction to the real numbers; what is a function; linear functions
9/24 pp. 6 - 7, 10 exponential functions; increasing and decreasing functions; concavity; shifts and stretches of functions
9/27 p. 12 polynomials; even and odd functions; the quadratic formula
x-hour pp. 11 - 12 composition of functions; inverse functions
9/29 quiz on the material from 9/22 - 9/27 solutions
10/1 pp. 13 - 14 the number e and the natural logarithm
10/4 the unit circle; trig functions; shifts and stretches of trig functions
x-hour other trig functions; inverse trig functions
10/6 quiz on the material from 9/28 - 10/4
10/8 trig identities
10/11 pp. 20, 44 - 49 limits and asymptotes
x-hour pp. 26 - 27, 84 - 90 continuity
10/13 review for midterm 1
7 - 9 pm, Bradley 101: midterm 1 (covers material from 9/22 - 10/11)
10/15 pp. 51 - 57 average rate of change; the derivative at a point
10/18 pp. 61 - 65 the derivative as a function; mean value theorem
x-hour pp. 93 - 94, 98 when are functions not differentiable; differentiability and continuity
10/20 quiz on the material from 10/14 - 10/18
10/22 pp. 68 - 71 interpretations of the derivative
10/25 pp. 72 - 76 the second derivative and its interpretation
x-hour pp. 101 - 107 derivatives of powers and polynomials
10/27 quiz on the material from 10/19 - 10/25
10/29 derivatives galore
11/1 pp. 109 - 112 derivatives of exponential functions
x-hour pp. 114 - 117 the product rule and quotient rule
11/3 review for midterm 2
7 - 9 pm, Bradley 101: midterm 2 (covers material from 10/12 - 11/1)
11/5 pp. 120 - 123 the chain rule
11/8 pp. 120 - 123 the chain rule
x-hour pp. 125 - 128 the derivative of trig functions
11/10 quiz on the material from 11/2 - 11/8
11/12 pp. 131 - 134 applications of the chain rule
11/15 pp. 136 - 138 implicit functions
x-hour derivatives, derivatives, and more derivatives
11/17 quiz on the material from 11/9 - 11/15
11/19 pp. 154 - 160, 201 using first and second derivatives; extreme value theorem
11/22 curve sketching
11/24 Thanksgiving break: 11/24 - 11/28
11/29 curve sketching
12/1 review