| Week | Topic | Reading | Assignments | |
|---|---|---|---|---|
| General reminders |
Online homework assignments are posted in the begining of each week on Lumen OHM and are due on Wednesday of the following week. Written homework assignments are due in the beginning of the second meeting of the recitation the following week. |
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| Week 1 Jan 24-28 |
Syllabus Review of integrals Fundamental theorem of calculus, Substitution |
5.1, 5.2, 5.3 5.4 5.5 |
Written Homework 1 (due Week 2): 5.3: 4, 13, 18, 22, 38, 53 5.4: 8, 11, 14, 22 5.5: 2, 5, 9, 24, 48, 55 |
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| Week 2 Jan 31-Feb 4 |
Integration techniques Integration by parts, Partial fractions |
5.6 5.7 |
Written Homework 2 (due Week 3):
5.6: 3, 5, 7, 14, 16, 20, 23, 25 5.7: 4, 5, 21, 22, 24, 25, 31, 32 Homework 1 is due. |
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| Week 3 Feb 7-11 |
Improper integrals Area between curves, Arc length |
5.10 6.1 6.4 |
Written Homework 3 (due Week 4):
5.10: 5, 7, 8, 13, 16, 28, 29, 31, 43, 48, 51
6.1: 10, 14, 24
6.4: 8, 13
Homework 2 is due. |
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| Week 4 Feb 14-18 |
Volumes Applications to physics and engineering |
6.2 6.3 6.6 |
Written Homework 4 (due Week 6): 6.2: 2, 4, 6, 10, 17, 19, 42, 52 6.3: 2, 8, 12, 14 6.6: 10, 20, 45, 50 Homework 3 is due. |
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| Week 5 Feb 21-25 |
Applications of integration Sequences |
8.1 | No homework due this week | |
| Feb 24 | Midterm I Thursday, February 24, 8:15pm-9:35pm Lecture 01: Frey 100 Lecture 02: Frey 102 |
Integration (Everything up to Week 5) | Practice exams from previous semesters:
Practice problems 1 (Solutions) Practice problems 2 (except problem 3) Practice problems 3 (except problems 1, 9) More practice exams here (some of the material covered in these exams is not included in our exam) Do not expect that the actual midterm will contain exactly these kinds of problems! | |
| Week 6 Feb 28-Mar 4 |
SeriesThe integral and comparison tests | 8.2 8.3 |
Written Homework 5 (due Week 7):
8.1: 16, 19
8.2: 9, 25, 29, 53
8.3: 15, 16, 20, 21
Homework 4 is due. |
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| Week 7 Mar 7-11 |
Other convergence tests Review of convergence tests |
8.4 | Written Homework 6 (due Week 8):
8.3: 25, 27, 28, 29, 30 8.4: 6, 7, 22, 24, 25, 26, 30 Homework 5 is due. |
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| Mar 14-18 | Spring Break No classes in session |
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| Week 8 Mar 21-25 |
Power series | 8.5 8.6 |
Written Homework 7 (due Week 9):
8.5: 4, 8, 10, 20, 22 8.6: 4, 6, 11, 13, 15 Homework 6 is due. |
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| Week 9 Mar 28-Apr 1 |
Taylor and Maclaurin series | 8.7 | Written Homework 8 (due Week 11):
8.7: 5, 6, 14, 15, 27, 30, 45, 53, 58 8.8: 12, 14 Homework 7 is due. |
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| Week 10 Apr 4-8 |
Applications of Taylor polynomials Review |
8.8 | No homework due this week | |
| Apr 7 | Midterm II Thursday, April 7, 8:15pm-9:35pm Lecture 01: Frey 100 Lecture 02: Frey 102 |
Cumulative (Everything up to Week 10 with focus on Series) |
Practice exams from previous semesters:
Practice problems More practice exams here (some of the material covered in these exams is not included in our exam; also these exams do not include material from sections 8.6-8.8, which is included in our exam) Do not expect that the actual midterm will contain exactly these kinds of problems! | |
| Week 11 Apr 11-15 |
Introduction to differential equations Direction fields and Euler's method |
7.1 7.2 |
Written Homework 9 (due Week 12):
7.1: 4, 6, 12 7.2: 11, 14, 18, 22, 24 From 7.2 study but do not submit exercises 1-7. Homework 8 is due. |
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| Week 12 Apr 18-22 |
Separable differential equations Exponential growth and decay |
7.37.4 | Written Homework 10 (due Week 13):
7.3: 12, 14, 16, 45, 46 7.4: 4, 8, 11, 14, 16 Homework 9 is due. |
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| Week 13 Apr 25-29 |
The logistic equation Complex numbers |
7.5 Appendix I |
Written Homework 11 (due Week 14):
7.5: 4, 5, 7, 9, 15 Appendix I: 2, 4, 8, 21, 24, 25, 26, 33, 43, 44 Homework 10 is due. |
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| Week 14 May 2-6 |
Second order differential equations | Supplementary notes More notes |
Homework 12 (due before the Final): Online homework only. Homework 11 is due. |
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| May 11 | Final Exam
Wednesday, May 11, 8:00am-10:45am Lecture 01: Engineering 143 Lecture 02: Engineering 145 |
Cumulative | Practice exams from previous semesters:
Practice problems (Solutions) Practice problems (with Solutions) More practice exams here (some of the material covered in these exams is not included in our exam) Do not expect that the actual exam will contain exactly these kinds of problems! |
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