Single Variable Calculus

Calendar

ses #	TOPICS	KEY DATES
1	Velocity and Rates of Change
2	Slope and Derivative Limits and Continuity
3	Differentiation Formulas: Products and Quotients
4	Chain Rule and Implicit Differentiation
5	The Derivatives of Exponential and Logarithm Functions	Problem set 1 due
6	The Derivatives of Trigonometric Functions
7	Review for Exam 1
	Unit 1 Exam
8	Approximations Mean Value Theorem
9	Curve Sketching
10	Max-Min Problems	Problem set 2 due
11	Related Rates
12	Inequalities, Zeros, and Newton’s Method
	Unit 2 Exam
13	Differentials and Indefinite Integrals
14	Definite Integrals	Problem set 3 due
15	The Fundamental Theorem of Calculus
16	Properties of Definite Integrals
17	Differential Equations and Separation of Variables	Problem set 4 due
18	Numerical Integration and Review of Unit 3
	Unit 3 exam
19	Areas between Curves, Volumes of Revolutions, and Slicing
20	Volumes by Shells and Average Values
21	Parametric Equations and Arc Length
22	Surface Area and Polar Coordinate Graphs	Problem set 5 due
23	Area and Arc Length in Polar Coordinates
	Unit 4 Exam
24	Inverse Trigonometric Functions and Hyperbolic Functions
25	Integration by Inverse Substitution
26	Integration by Partial Fractions	Problem set 6 due
27	Integration by Parts
	Unit 5 Exam
28	Indeterminate Forms and L’Hospital’s Rule
29	Improper Integrals	Problem set 7 due
30	Infinite Series
31	Power Series
32-33	Final Review	Problem set 8 due in Ses #32