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 #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 
