Single Variable Calculus

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