Calculus II (MATH 231 AL1)
Daily Schedule of Lectures and Discussion Sessions
This table is tentative and adjusted depending on how the course progresses.
All reading and practice assignments refer to the textbook of the course. Exercises with the symbol * give a brief orientation for the discussion sessions but they may change without further notice by the decision of the TA.
| Class Type | Date | Topic | Read Section | Practice Exercises | Quizzes | Homework Assigment |
|---|---|---|---|---|---|---|
| Lecture 1.1 | Mon Jan 14 |
Integration by parts | 6.2 | 3, 7, 15, 23, 29, 31, 45 | ||
| Discussion 1.1 | Tue Jan 15 |
Review of formulas and techniques Examples |
6.1 6.2 |
10*, 12*, 14* 10*, 44* |
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| Lecture 1.2 | Wed Jan 16 |
Powers of trig functions; trig substitution | 6.3 | 1, 3, 11, 13 | ||
| Discussion 1.2 | Thu Jan 17 |
Examples | 6.2 6.3 |
17* 1*, 3*, 9*, 31* |
||
| Mon Jan 21 |
No class (Martin Luther) | |||||
| Discussion 2.1 | Tue Jan 22 |
Exploratory Exercises | 6.3 | 1* | Quiz 1 | HW 1 due in session |
| Lecture 2.2 | Wed Jan 23 |
Powers of trig functions; trig substitution | 6.3 | 17, 19, 21, 25, 31 | ||
| Discussion 2.2 | Thu Jan 24 |
Trig substitution Examples |
6.3 6.3 |
Example 3.11* 23*, 25*, 31* |
||
| Lecture 3.1 | Mon Jan 28 |
Rational functions; partial fraction decomposition | 6.4 | 1, 7, 15, 25, 37 | ||
| Discussion 3.1 | Tue Jan 29 |
Integration tables and computer algebra systems | 6.5 | Examples 5.1*, 5.5*, 5.6* | Quiz 2 | HW 2 due in session |
| Lecture 3.2 | Wed Jan 30 |
Improper integrals | 6.6 | 3, 11, 15, 19 | ||
| Discussion 3.2 | Thu Jan 31 |
Examples to Improper integrals | 6.6 | 1*, 5*, 7*, 15*, 17* | ||
| Lecture 4.1 | Mon Feb 04 |
Comparison test | 6.6 | 39, 49, 53, 61, 69 | ||
| Discussion 4.1 | Tue Feb 05 |
Examples to Comparison test | 6.6 | 41*, 43*, 53*, 67* | Quiz 3 | HW 3 due in session |
| Lecture 4.2 | Wed Feb 06 |
Exponential growth and decay | 7.1 | 3, 11, 19, 35 | ||
| Discussion 4.2 | Thu Feb 07 |
Examples to Exponential growth and decay |
7.1 | 5*, 17*, 25*, 31*, 47* | ||
| Lecture 5.1 | Mon Feb 11 |
Test 1 | ||||
| Discussion 5.1 | Tue Feb 12 |
Review of Test 1 Examples to Comparison Test Examples to Exponential Growth and Decay |
6.6 7.1 |
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| Lecture 5.2 | Wed Feb 13 |
Sequences I | 8.1 | 3, 7, 9, 11, 17, 27, 29, 31 | ||
| Discussion 5.2 | Thu Feb 14 |
Examples | 8.1 | 3*, 9*, 17*, 19*, 27*, 29*, 31* | ||
| Lecture 6.1 | Mon Feb 18 |
Sequences II | 8.1 | 33, 35, 41, 49 | ||
| Discussion 6.1 | Tue Feb 19 |
Examples | 8.1 | 33*, 39*, 51*, 53*, 59* | Quiz 4 | HW 4 due in session |
| Lecture 6.2 | Wed Feb 20 |
Infinite series I | 8.2 | 1, 3, 7, 13, 15, 17, 31, 37, 47 | ||
| Discussion 6.2 | Thu Feb 21 |
Examples | 8.2 | 1, 7*, 13*, 37*, 47* | ||
| Lecture 7.1 | Mon Feb 25 |
Infinite series Integral test; comparison tests |
8.3 | 5, 9, 13, 21, 27, | ||
| Discussion 7.1 | Tue Feb 26 |
Examples Error Estimates |
8.3 | 5*, 9*, 21*, 27* | Quiz 5 | HW 5 due in session |
| Lecture 7.2 | Wed Feb 27 |
Integral test; comparison tests | 8.3 | 33, 41, 55, 57 | ||
| Discussion 7.2 | Thu Feb 28 |
Examples | 8.3 | 33*, 41*, 55*, 57* | ||
| Lecture 8.1 | Mon Mar 03 |
Alternating series | 8.4 | 1, 5, 13, 17, 21, 25, 27, 33 | ||
| Discussion 8.1 | Tue Mar 04 |
Examples | 8.4 | 5*, 13*, 21*, 33* | Quiz 6 | HW 6 due in session |
| Lecture 8.2 | Wed Mar 05 |
Absolute convergence; ratio test | 8.5 | 1, 3, 5, 9, 7, 23, 27, 29, 37, 39, 41 | ||
| Discussion 8.2 | Thu Mar 06 |
Examples | 8.5 | 3*, 9*, 23*, 37*, 41* | ||
| Lecture 9.1 | Mon Mar 10 |
Power series I | 8.6 | 1, 3, 5, 7, 9, 11, 19 | ||
| Discussion 9.1 | Tue Mar 11 |
Examples | 8.6 | 1*, 3*, 5*, 7*, 9* | Quiz 7 | HW 7 due in session |
| Lecture 9.2 | Wed Mar 12 |
Power series II | 8.6 | 25, 27, 31, 35, 37 | ||
| Discussion 9.2 | Thu Mar 13 |
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| Mar 17 - 21 |
Spring Break | |||||
| Lecture 11.1 | Mon Mar 24 |
Test #2 | ||||
| Discussion 11.1 | Tue Mar 25 |
Review | ||||
| Lecture 11.2 | Wed Mar 26 |
Taylor series I | 8.7 | 1, 3, 5 ,7, 21, 23, 29 | ||
| Discussion 11.2 | Thu Mar 27 |
Examples | 8.7 | |||
| Lecture 12.1 | Mon Mar 31 |
Taylor series II | 8.7 | 33, 35, 39, 55 | ||
| Discussion 12.1 | Tue Apr 01 |
Examples | 8.7 | Quiz 8 | HW 8 due in session |
|
| Lecture 12.2 | Wed Apr 02 |
Applications of Taylor series | 8.8 | 1, 7, 9, 13, 15, 23, 29, 33, 35, 45 | ||
| Discussion 12.2 | Thu Apr 03 |
Examples | 8.8 | |||
| Lecture 13.1 | Mon Apr 7 |
Fourier Series | 8.9 | 1, 3, 5, 11, 13, 15, 19, 21, 25, 35, 41 | ||
| Discussion 13.1 | Tue Apr 08 |
Examples | 8.9 | Quiz 9 | HW 9 due in session |
|
| Lecture 13.2 | Wed Apr 9 |
Plane curves and parametric equations | 9.1 | 1, 5, 9, 19, 25, 27, 29, 31, 37, 41, 43 | ||
| Discussion 13.2 | Thu Apr 10 |
Examples | 9.1 | 25*, 41* and others | ||
| Lecture 14.1 | Mon Apr 14 |
Calculus and parametric equations | 9.2 | 1, 5, 7, 9, 11, 15, 19, 21, 25, 27 | ||
| Discussion 14.1 | Tue Apr 15 |
Examples | 9.2 | 5*, 13*, 25*, 35* | Quiz 10 | HW 10 due in session |
| Lecture 14.2 | Wed Apr 16 |
Arc length and surface area in parametric equations | 9.3 | 1, 3, 7, 9, 13, 17, 21, 23 | ||
| Discussion 14.2 | Thu Apr 17 |
Examples | 9.3 | |||
| Lecture 15.1 | Mon Apr 21 |
Test 3 | ||||
| Discussion 15.1 | Tue Apr 22 |
Examples | 9.3 | |||
| Lecture 15.2 | Wed Apr 23 |
Polar coordinates | 9.4 | 1, 3, 7, 13, 19, 21, 25, 27, 31, 35, 47, 57, 59, 61 | ||
| Discussion 15.2 | Thu Apr 24 |
Examples | 9.4 | |||
| Lecture 16.1 | Mon Apr 28 |
Calculus and polar coordinates | 9.5 | 1, 5, 9, 11, 15, 19, 25, 29, 35, 37 | ||
| Discussion 16.1 | Tue Apr 29 |
Examples | 9.5 | Bonus Quiz 11 | Bonus HW 11 | |
| Lecture 16.2 | Wed Apr 30 |
Conic sections Conic sections in polar coordinates |
9.6 9.7 |
9.6: 1, 3, 7, 9, 13, 15, 19, 23 25 9.7: 1, 3, 5, 11, 17, 19, 23, 25 |
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| Thu May 8 |
Final Exam 8:00 a.m to 11:00 a.m. |