Calculus 1B, Fall '11
| Syllabus | Schedule | Problems | Links | Grades |
|---|
| Week # | Monday | Wednesday |
|---|---|---|
1 August 29 |
Integrals |
5.3: The Fundamental Theorem of Calculus 1,3,6,8,12,13,17,20,26,28,30,34,36, 37,40,42,45,48,50,54,58,62,67,73-76 |
2 Sept 5 |
Labor Day Holiday |
5.4: Indefinite Integrals and the Net Change Theorem |
3 |
5.5 The Substitution Rule: 1-6,10,12,17,18,22,24,30,34,40, 44,46,51,54,58,64,69,78,82,83-88 |
Chapter 5 Review |
4 Sept 19 |
Chapter 5 Exam |
Applications of Integration 6.1:Areas Between Curves 1,4,9,11,15,21,24,31,40,42,45,47,51,53 6.2: Volumes 7,9,11,17,19-29odd,31,41, 43,50,51,54,60,61,63-69 |
5 Sept 26 |
|
6.5: Average Value of a Function 4,7,9,13,17,22,23,24 |
6 |
Chapter 6 Review |
Chapter 6 Exam |
7 Oct 10 |
Techniques of Integration 7.1: Integration by Parts 7.2: Trigonometric Integrals |
7.3: Trigonometric Substitution 7.4: Integration of Rational Functions |
8 Oct 17 |
7.5 Strategy for Integration 7.6: Integration using Tables |
7.7: Approximate Integration 7.8: Improper Integrals |
9 Oct 24 |
Chapter 7 Review |
Chapter 7 Exam |
10 Oct 31 |
Further Applications of Integration 8.1: Arc Length 8.2: Area of a Surface of Revolution 8.3: Applications to Physics |
8.5: Probability Parametric Equations 10.1: Curves Defined by Parametric Equation |
11 Nov 7 |
10.2: Calculus with Parametric Equations 10.3: Polar Coordinates 10.4: Areas and Lengths in Polar Coordinates |
Chapters 8&10 Review |
12 Nov 14 |
Chapters 8&10 Exam |
Infinite Sequences 11.1: Sequences 11.2: Series 11.3: The Integral Test and Estimates |
13 Nov 21 |
11.4: The Comparison Tests 11.5: Alternating Series 11.6: Absolute Convergence |
11.7: Strategies for Testing Sums |
14 Nov 28 |
11.10: Taylor and Maclaurin Series 11.11: Applications of Taylor Series |
Chapter 11 Review |
15 Dec 5 |
Chapter 11 Exam |
Review |
16 Dec 12 |
Final Exam |