Calendar

SES # TOPICS KEY DATES
Derivatives
0 Recitation: graphing
1 Derivatives, slope, velocity, rate of change
2

Limits, continuity

Trigonometric limits

3 Derivatives of products, quotients, sine, cosine
4

Chain rule

Higher derivatives

5 Implicit differentiation, inverses Problem set 1 due
6

Exponential and log

Logarithmic differentiation; hyperbolic functions

7 Hyperbolic functions and exam 1 review
8 Exam 1 covering Ses #1-7
Applications of Differentiation
9 Linear and quadratic approximations
10 Curve sketching
11 Max-min problems Problem set 2 due
12 Related rates
13 Newton's method and other applications
14

Mean value theorem

Inequalities

Problem set 3 due
15 Differentials, antiderivatives
16 Differential equations, separation of variables
17 Exam 2 covering Ses #8-16
Integration
18 Definite integrals
19 First fundamental theorem of calculus Problem set 4 due
20 Second fundamental theorem
21 Applications to logarithms and geometry
22 Volumes by disks, shells Problem set 5 due
23 Work, average value, probability
24 Numerical integration
25 Exam 3 review
Techniques of Integration
26 Trigonometric integrals and substitution
27 Exam 3 covering Ses #18-24 Problem set 6 due
28 Integration by inverse substitution; completing the square
29 Partial fractions
30 Integration by parts, reduction formulae Problem set 7 due
31 Parametric equations, arclength, surface area
32

Polar coordinates; area in polar coordinates

Exam 4 review

33 Exam 4 covering Ses #26-32
34 Indeterminate forms - L'Hôspital's rule
35 Improper integrals
36 Infinite series and convergence tests
37 Taylor's series Problem set 8 due
38 Final review
Final exam