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 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  

Course Info

Learning Resource Types

assignment Problem Sets
grading Exams with Solutions
notes Lecture Notes
theaters Lecture Videos