Date
Sections
Topic
Wed. Aug. 25
Preview
A Preview of Calculus
Fri. Aug. 27
1.1
Four Ways to Represent a Function
Mon. Aug. 30
1.2, 1.3
Mathematical Models. New Functions From Old Functions
Wed. Sep. 1
1.5, 1.6
Exponential Functions. Inverse Functions and Logarithms
Thurs. Sep. 2
Appendices A thru C and Sections 1.1 thru1.3
QUIZ #1
Fri. Sep. 3
2.1, 2.2
The Tangent and Velocity Functions. Limits
Wed. Sep. 8
2.2, 2.3
The Limit of a Function. Calculating Limits with the Limit Laws
Thurs. Sep. 9
QUIZ #2
Fri. Sep. 10
2.5
Continuity
Mon. Sep. 13
2.6
Limits at Infinity; Horizontal Asymptotes
Wed. Sep. 15
2.7
Tangents, Velocities and Other Rates of Change
Fri. Sep. 17
HOUR EXAM #1
Mon. Sep. 20
2.8
Derivatives
Wed. Sep. 22
2.9
The Derivative As a Function
Thurs. Sep. 23
QUIZ #3
Fri. Sep. 24
3.1, 3.2
More Derivatives. The Product and Quotient Rules
Mon. Sep. 27
3.3
Rates of Change in the Natural and Social Sciences
Wed. Sep. 29
3.4
Derivatives of Trigonometric Functions
Thurs. Sep. 30
QUIZ #4
Fri. Oct. 1
3.5
The Chain Rule
Mon. Oct. 4
3.6, 3.7
Implicit Differentiation. Higher Derivatives
Wed. Oct. 6
3.8, 3.9
Derivatives of Logarithmic Functions. Hyperbolic Functions
Fri. Oct. 8
HOUR EXAM #2
Mon. Oct. 11
3.10
Related Rates
Wed. Oct. 13
3.11
Linear Approximations and Differentials
Thurs. Oct. 14
QUIZ #5
Fri. Oct. 15
4.1
Maximum and Minimum Values
Mon. Oct. 18
4.2
The Mean Value Theorem
Wed. Oct. 20
4.3, 4.4
How Derivatives Affect Graphs. l'Hopital's Rule
Fri. Oct. 22
HOUR EXAM #3
Mon. Oct. 25
4.5
Summary of Curve Sketching
Wed. Oct. 27
4.7
Optimization Problems
Thurs. Oct. 28
QUIZ #6
Fri. Oct. 29
4.8
Applications to Economics - not covered!
Mon. Nov. 1
4.9, 4.10
Newton's Method. Antiderivatives
Wed. Nov. 3
5.1
Areas and Distances
Fri. Nov. 5
5.2
The Definite Integral
Mon. Nov. 8
5.3
The Fundamental Theorem of Calculus
Tues. Nov. 9
QUIZ #7
Wed. Nov. 10
5.4
Indefinite Integrals
Fri. Nov. 12
HOUR EXAM #4
Mon. Nov. 15
5.4, 5.5
The Total Change Theorem. The Substitution Rule
Wed. Nov. 17
5.5, 5.6
Substitution. The Logarithm Defined as an Integral
Fri. Nov. 19
6.1
Areas Between Curves
Mon. Nov. 22
6.2
Volumes
Tues. Nov. 23
QUIZ #8
Mon. Nov. 29
6.2, 6.4
Volumes. Work
Wed. Dec. 1
6.4
Work
Fri. Dec. 3
HOUR EXAM #5
Mon. Dec. 6
6.5, 8.3
Average Value of a Function. Pressure
Wed. Dec. 8
8.3
Centroids
Fri. Dec. 10
Review
Mon. Dec. 13
FINAL EXAM, 1:30 to 4:30 P.M.