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 #17  
Applications of Differentiation  
9  Linear and quadratic approximations  
10  Curve sketching  
11  Maxmin 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 #816  
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 #1824  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 #2632  
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 
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