|
Topic
|
Worksheet
|
Reading
|
Date
|
Practice Problems
|
Lecture 1
|
Logistics, What is Calculus?
|
NA
|
|
Jan 23
|
NA
|
Lecture 2
|
Fundamental Theorem of Calculus
|
Worksheet 1
|
5.1-5.4
|
Jan 25
|
Lecture 3
|
The Substitution Rule
|
Worksheet 2
|
5.5
|
Jan 27
|
Lecture 4
|
The Substitution Rule (cont.) and Integration by Parts
|
Worksheet 3
|
5.5, 5.6
|
Jan 30
|
Practice Problems I
|
Lecture 5
|
Integration by Parts (cont.) and Partial Fractions
|
5.6, 5.7
|
Feb 1
|
Lecture 6
|
Partial Fractions
|
Workshhet 4
|
5.7
|
Feb 3
|
Lecture 7
|
Partial Fraction+Area between Curves
|
5.7, 6.1
|
Feb 6
|
Practice Problems II
|
Lecture 8
|
Area Between Curves
|
Worksheet 5
|
6.1
|
Feb 8
|
Lecture 9
|
Area enclosed by Parametric Curves and Volume
|
Worksheet 6
|
6.1-6.2
|
Feb 10
|
Lecture 10
|
Solids of Revolution
|
Worksheet 7
|
6.2
|
Feb 13
|
NA
|
Lecture 11
|
Solids of Revolution (Shell Method)
|
Worksheet 8
|
6.3
|
Feb 15
|
Lecture 12
|
Arc Length
|
Worksheet 9
|
6.4
|
Feb 17
|
Lecture 13
|
Average Value and Applications to Physics
|
Worksheet 10
|
6.5, 6.6
|
Feb 20
|
Practice Problems III
|
Lecture 14
|
Applications to Physics
|
6.6
|
Feb 22
|
Lecture 15
|
Probability and Improper Integrals
|
Worksheet 11
|
5.10, 6.8
|
Feb 24
|
Lecture 16
|
Improper Integrals
|
5.10
|
Feb 27
|
Practice Problems IV
(solutions)
|
Lecture 17
|
Improper Integrals
|
Worksheet 12
|
5.10
|
Mar 1
|
Lecture 18
|
Introduction to Series, Geometric Series
|
Worksheet 13
|
8.2
|
Mar 3
|
Lecture 19
|
Convergence and Divergence of Sequences
|
No Worksheet
|
8.1
|
Mar 6
|
Practice Problems V
(solutions)
|
Lecture 20
|
The Divergence Test and Comparison with Improper Integrals
|
No Worksheet
|
8.2, 8.3
|
Mar 8
|
Lecture 21
|
The Comparison and the Limit Comparison Tests
|
Worksheet 14
|
8.3
|
Mar 20
|
Practice Problems VI
(solutions)
|
Lecture 22
|
Other Convergence Tests (I)
|
Worksheet 15
|
8.4
|
Mar 22
|
Lecture 23
|
Other Convergence Tests (II)
|
8.4
|
Mar 24
|
Lecture 24
|
Estimating the Error for Series
|
Worksheet 16
|
8.3, 8.4
|
Mar 27
|
Practice Problems VII
(solutions)
|
Lecture 25
|
Power Series
|
Worksheet 17
|
8.5
|
Mar 29
|
Lecture 26
|
Power Series representations of Functions (I)
|
Worksheet 18
|
8.6
|
Mar 31
|
Lecture 27
|
Power Series representations of Functions (II)
|
8.6
|
Apr 3
|
Practice Problems VIII
(solutions)
|
Lecture 28
|
Taylor and Maclaurin Series (I)
|
Worksheet 19
|
8.7
|
Apr 5
|
Lecture 29
|
Taylor and Maclaurin Series (II)
|
8.7
|
Apr 10
|
Practice Problems IX
(solutions)
|
Lecture 30
|
Taylor and Maclaurin Series (III)
|
8.7
|
Apr 12
|
Lecture 31
|
Taylor Polynomials and Approximations
|
Worksheet 20
|
8.8
|
Apr 14
|
Lecture 32
|
Differential Equations
|
Worksheet 21
|
7.1
|
Apr 17
|
Practice Problems X
(solutions)
|
Lecture 33
|
Differential Equations and Modeling
|
Worksheet 22
|
7.1,7.3
|
Apr 19
|
Lecture 34
|
Separable Differential Equations
|
Worksheet 23
|
7.3
|
Apr 21
|
Lecture 35
|
Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (I)
|
Worksheet 24
|
Notes
|
Apr 24
|
Practice Problems XI
(solutions)
|
Lecture 36
|
Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (II)
|
Apr 26
|
Lecture 37
|
Second-Order Homogeneous Linear Differential Equations with Constant Coefficients (III)
|
Apr 28
|
Lecture 38
|
First-Order Linear Differential Equations
|
Worksheet 25
|
Notes
|
May 1
|
NA
|