21-122: Integration, Differential Equations, and Approximation

Schedule and Homework

For each week there will be a link to a page with a reading assignment and a homework assignment.

This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
Aug 28 - Sep 1
Homework Introduction
7.1. Integration By Parts
7.2. Trigonometric Integrals

Week #2:
Sep 4 - 8
Homework 7.3. Trigonometric Substitution
7.4. Partial Fractions

Administrative Note: Monday 4 September is Labor Day. Class will not meet.

Week #3:
Sep 11 - 15
Homework 7.5. Strategy for Integration
7.7. Approximate Integration
7.8. Improper Integrals

Week #4:
Sep 18 - 22
Homework 8.1. Arc Length
8.3/8.4. Applications of Integration
8.5. Probability

Week #5:
Sep 25 - 29
Homework 9.3. Separable Equations
9.2. Direction Fields and Euler's Method

Exam #1 will be given on Wednesday 27 September. The exam will be held during your regular class time.
A review session will be held on Monday 25 September, from 7:30-9:00 in DH 2315.
Here are some review problems.

Week #6:
Oct 2 - 6
Homework 9.1. Modeling with Differential Equations
9.4. Exponential Growth and Decay
9.5. The Logistic Equation

Week #7:
Oct 9 - 13
Homework Population Models and the Phase Line
9.6. Linear Equqations
9.7. Predator-Prey Systems

Week #8:
Oct 16 - 20 11.1. Sequences
4.9. Newton's Method

Administrative note: Friday 20 October is the Mid-Semester Break. Class will not meet.

Week #9:
Oct 23 - 27
Homework 11.2. Series
11.3. The Integral Test and Estimates of Sums

Exam #2 will be given on ~~Wednesday 25 October~~ Monday 23 October. Here are some review problems.

Week #10:
Oct 30 - Nov 3
Homework 11.4. The Comparison Tests
11.5. Alternating Series
11.6. Absolute Convergence and the Ratio and Root Tests

Week #11:
Nov 6 - 10
Homework 11.7. Strategy for Testing Series
11.8. Power Series
11.9. Representations of Functions as Power Series

Week #12:
Nov 13 - 17
Homework 11.10. Taylor and Maclaurin Series
11.12. Applications of Taylor Polynomials
.

Week #13:
Nov 20 - 24
Exam #3 will be given on Monday 20 November. Here is a study guide. More items may be added, so check back.
Administrative Note: November 22--24 is the Thanksgiving Holiday. Class will not meet on these days.

Week #14:
Nov 27 - Dec 1
Homework 11.12. Applications of Taylor Polynomials
17.1. Second-Order Linear Equations
17.2. Nonhomogeneous Linear Equations

Week #15:
Dec 4 - 8
Homework 17.3. Applications of Second Order Linear Equations
17.4. Series Solutions
.

Administrative note: Friday 8 December is the last day of class.
Friday 8 December is also the course drop deadline to receive a "W" grade.

Final Exam
The Final Exam will take place on 14 December from 1:00 - 4:00pm in DH 2210 (Lecture 1) and McConomy Auditorium (Lecture 2). If you must make travel arrangements before the exam schedule is released, do not plan to leave campus before 4:15 on 14 December. Here are some review problems.

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Week #1: Aug 28 - Sep 1 Homework	Introduction 7.1. Integration By Parts 7.2. Trigonometric Integrals
Week #2: Sep 4 - 8 Homework	7.3. Trigonometric Substitution 7.4. Partial Fractions Administrative Note: Monday 4 September is Labor Day. Class will not meet.
Week #3: Sep 11 - 15 Homework	7.5. Strategy for Integration 7.7. Approximate Integration 7.8. Improper Integrals
Week #4: Sep 18 - 22 Homework	8.1. Arc Length 8.3/8.4. Applications of Integration 8.5. Probability
Week #5: Sep 25 - 29 Homework	9.3. Separable Equations 9.2. Direction Fields and Euler's Method Exam #1 will be given on Wednesday 27 September. The exam will be held during your regular class time. A review session will be held on Monday 25 September, from 7:30-9:00 in DH 2315. Here are some review problems.
Week #6: Oct 2 - 6 Homework	9.1. Modeling with Differential Equations 9.4. Exponential Growth and Decay 9.5. The Logistic Equation
Week #7: Oct 9 - 13 Homework	Population Models and the Phase Line 9.6. Linear Equqations 9.7. Predator-Prey Systems
Week #8: Oct 16 - 20	11.1. Sequences 4.9. Newton's Method Administrative note: Friday 20 October is the Mid-Semester Break. Class will not meet.
Week #9: Oct 23 - 27 Homework	11.2. Series 11.3. The Integral Test and Estimates of Sums Exam #2 will be given on ~~Wednesday 25 October~~ Monday 23 October. Here are some review problems.
Week #10: Oct 30 - Nov 3 Homework	11.4. The Comparison Tests 11.5. Alternating Series 11.6. Absolute Convergence and the Ratio and Root Tests
Week #11: Nov 6 - 10 Homework	11.7. Strategy for Testing Series 11.8. Power Series 11.9. Representations of Functions as Power Series
Week #12: Nov 13 - 17 Homework	11.10. Taylor and Maclaurin Series 11.12. Applications of Taylor Polynomials .
Week #13: Nov 20 - 24	Exam #3 will be given on Monday 20 November. Here is a study guide. More items may be added, so check back. Administrative Note: November 22--24 is the Thanksgiving Holiday. Class will not meet on these days.
Week #14: Nov 27 - Dec 1 Homework	11.12. Applications of Taylor Polynomials 17.1. Second-Order Linear Equations 17.2. Nonhomogeneous Linear Equations
Week #15: Dec 4 - 8 Homework	17.3. Applications of Second Order Linear Equations 17.4. Series Solutions . Administrative note: Friday 8 December is the last day of class. Friday 8 December is also the course drop deadline to receive a "W" grade.
Final Exam	The Final Exam will take place on 14 December from 1:00 - 4:00pm in DH 2210 (Lecture 1) and McConomy Auditorium (Lecture 2). If you must make travel arrangements before the exam schedule is released, do not plan to leave campus before 4:15 on 14 December. Here are some review problems.