Spring 2015 Math 152.540-545: Calculus II
Instructor: Christopher O’Neill
E-mail: coneill@math.tamu.edu
Below is a list of the topics we intend to cover, along with a rough time outline. Actual
schedule is subject to change without notice. Last updated April 9th, 2015.
Week
1/21 – 1/23
1/26 – 1/30
2/2 – 2/6
2/9 – 2/13
2/16 – 2/20
2/23 – 2/27
3/2 – 3/6
3/9 – 3/13
3/16 – 3/20
3/23 – 3/27
3/30 – 4/3
4/6 – 4/10
4/13 – 4/17
4/20 – 4/24
4/27 – 5/1
5/4
5/11 – 5/12
Topic
Review FTC
Integration by Substitution
Area Between Curves
Volume of Revolution: Disks
Volume of Revolution: Washers
Volume of Revolution: Shells
Volume of Revolution
Force and Work
Average Value
Integration by Parts
Trigonometric Integration
Trigonometric Substitution
Review for Exam 1
Partial Fractions
Improper Integrals
Arc Length
Surface Area of Revolution
Review of Integration Topics
Sequences (Day 1)
Sequences (Day 2)
Review
Series (Day 1)
Series (Day 2)
Spring Break: No Class
Integral Test (Day 1)
Review for Exam 2
Integral Test (Day 2)
Comparison Tests
Alternating Series
Reading Day: No Class
Absolute Convergence and the Ratio Test
Power Series
Representing Functions as Power Series
Taylor and McLauren Series (Day 1)
Taylor and McLauren Series (Day 2)
Applications of Taylor Series
Review of Series Topics
3D Coordinates
Vectors and Dot Product
Review for Exam 3
Cross Product
Review for Final Exam
Review for Final Exam
Final Exam
1
Chapters
6.4-6.5
7.1
7.1
7.2
7.2
7.3
7.3
7.4
7.5
8.1
8.2
8.3
8.4
8.9
9.3
9.4
10.1
10.1
10.2
10.2
10.3
10.3
10.3
10.4
10.4
10.5
10.6
10.7
10.7
10.9
11.1
11.2
11.3