Instructors: Luke A. Askew, Alena Erchenko, Ahmad Reza Haj Saeedi Sadegh.
Course on canvas.dartmouth.edu.⇗
Syllabus
| Week | Date | Topic | OpenStax references | Activity | Lecture Notes |
|
Week 1
(January 6-10) |
Monday | Review of functions: functions as models, domain, range, increasing/decreasing functions, bounded functions, even/odd | Chapter 1, Sections 1.1 | Lecture 1 (Sections 1 and 2) Download Lecture 1 (Sections 1 and 2) | |
| Wednesday | Periodic, composition. Polynomial functions | Chapter 1, Sections 1.1-1.2 | Homework 0 due | Lecture 2 (Sections 1 and 2) Download Lecture 2 (Sections 1 and 2) | |
| Friday |
Power, exponential, and trigonometric functions and inverses
|
Chapter 1, Sections 1.3-1.5 |
Lecture 3 (Sections 1 and 2) Download Lecture 3 (Sections 1 and 2) |
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| X-hour (Tuesday/Thursday) | Recitation | Worksheet_1 Download Worksheet_1 - Solutions Download Solutions | |||
|
Week 2
(January 13-17) |
Monday |
Limits and limit laws - idea and ways to find.
|
Chapter 2, Sections 2.2-2.3
|
Lecture 4 (Sections 1 and 2) Download Lecture 4 (Sections 1 and 2) |
|
| Wednesday |
Limits (continue).
|
Chapter 2, Section 2.4 |
Homework 1 due |
Lecture 5 (Sections 1 and 2) Download Lecture 5 (Sections 1 and 2) |
|
| Friday | Tangent lines and velocity. Rates of Change. The derivative as a function. | Chapter 3, Sections 3.1-3.2, 3.4 | 15-mins quiz 1 on Week 1 material |
Lecture 6 (Sections 1 and 2) Download Lecture 6 (Sections 1 and 2) |
|
| X-hour (Tuesday/Thursday) |
Recitation |
Worksheet_2 Download Worksheet_2 - Solutions Download Solutions | |||
|
Week 3
(January 20-24) |
Monday |
NO CLASS. |
|
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| Wednesday |
Differentiation rules: product, quotient, and chain rules |
Chapter 3, Sections 3.3 and 3.6 |
Homework 2 due |
Lecture 7 (Sections 1 and 2) Download Lecture 7 (Sections 1 and 2) |
|
| Friday | Derivatives of power, exponential, and trigonometric functions | Chapter 3, Sections 3.5, 3.9 | 15-mins quiz 2 on Week 2 material |
Lecture 8 (Sections 1 and 2) Download Lecture 8 (Sections 1 and 2) | |
| X-hour (Tuesday/Thursday) | Recitation | Worksheet_3 Download Worksheet_3 - Solutions Download Solutions | |||
|
Week 4
(January 27-31) |
Monday | Implicit differentiation and inverses | Chapter 3, Sections 3.7-3.8 | Lecture 9 (Section 1 and 2) Download Lecture 9 (Section 1 and 2) | |
| Wednesday | Related rates and linear approximation | Chapter 4, Sections 4.1-4.2 | Homework 3 due | Lecture 10 (Section 1 and 2) Download Lecture 10 (Section 1 and 2) | |
| Friday | Review | 15-mins quiz 4 on Week 3 material |
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| X-hour (Tuesday/Thursday) | Recitation | Worksheet_4 Download Worksheet_4 - Solutions Download Solutions | |||
|
Week 5
(February 3-7) |
Monday | Finding extremes : maximums and minimums | Chapter 4, Section 4.3 | Evening Midterm Exam on Weeks 1-4 material (6:30pm-8:30pm in Kemeny 008) | Lecture 11 (Section 1 and 2) Download Lecture 11 (Section 1 and 2) |
| Wednesday | Mean value theorem and L'Hopitals rule | Chapter 4, Sections 4.4 and 4.8 |
Lecture 12 (Section 1 and 2) Download Lecture 12 (Section 1 and 2) |
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| Friday | The derivative and the shape of graphs. | Chapter 4, Section 4.5 | Lecture 13 (Section 1 and 2) Download Lecture 13 (Section 1 and 2) | ||
| X-hour (Tuesday/Thursday) | Recitation | Worksheet_5 Download Worksheet_5 - Solutions Download Solutions | |||
|
Week 6
(February 10-14) |
Monday | Curve sketching. | Chapter 4, Section 4.5-4.6 | Lecture 14 (Section 1 and 2) Download Lecture 14 (Section 1 and 2) | |
| Wednesday | Optimization. | Chapter 4, Section 4.7 |
Homework 4 due | Lecture 15 (Section 1 and 2) Download Lecture 15 (Section 1 and 2) | |
| Friday | Antiderivatives. | Chapter 4, Section 4.10 |
15-mins quiz 4 on Week 5 material |
Lecture 16 (Section 1 and 2) Download Lecture 16 (Section 1 and 2) | |
| X-hour (Tuesday/Thursday) | Recitation | Worksheet_6 Download Worksheet_6 - Solutions Download Solutions | |||
|
Week 7
(February 17-21) |
Monday | Areas and distances |
Chapter 5, Section 5.1 | Lecture 17 (Section 1 and 2) Download Lecture 17 (Section 1 and 2) | |
| Wednesday | The definite integral | Chapter 5, Section 5.2 | Homework 5 due | Lecture 18 (Section 1 and 2) Download Lecture 18 (Section 1 and 2) | |
| Friday | Fundamental theorem of Calculus | Chapter 5, Section 5.3 | 15-mins quiz 5 on Week 6 material |
Lecture 19 (Section 1 and 2) Download Lecture 19 (Section 1 and 2) | |
| X-hour (Tuesday/Thursday) | Recitation | Worksheet 7 Download Worksheet 7 - Solutions Download Solutions | |||
|
Week 8
(February 24-28) |
Monday | Integration formulas and the net change theorem | Chapter 5, Section 5.4 | Lecture 20 (Section 1 and 2) Download Lecture 20 (Section 1 and 2) | |
| Wednesday | Integration by substitution | Chapter 5, Section 5.5 | Homework 6 due | Lecture 21 (Section 1 and 2) Download Lecture 21 (Section 1 and 2) | |
| Friday | Integration by parts | OpenStax Volume 2, Chapter 3, Section 3.1 | 15-mins quiz 6 on Week 7 material |
Lecture 22 (Section 1 and 2) Download Lecture 22 (Section 1 and 2) | |
| X-hour (Tuesday/Thursday) | Recitation | Worksheet 8 Download Worksheet 8 - Solutions Download Solutions | |||
|
Week 9
(March 3-7) |
Monday | Areas between curves. Volumes | Chapter 6, Sections 6.1-6.3 | Lecture 23 (Section 1 and 2) Download Lecture 23 (Section 1 and 2) | |
| Wednesday | Physical applications. Moments and center of mass. Exponential Growth and Decay. | Chapter 6, Section 6.5-6.6, Chapter 6, Section 6.8 | Homework 7 due | Lecture 24 (Section 1 and 2) Download Lecture 24 (Section 1 and 2) | |
| Friday | Review | 15-mins quiz 7 on Week 8 material |
Lecture 25 (Section 1 and 2) Download Lecture 25 (Section 1 and 2) | ||
| X-hour (Tuesday/Thursday) | Recitation | Worksheet 9 Download Worksheet 9 - Solutions Download Solutions | |||
| Final Exam (March 11) | Tuesday - 8-11am | Final Exam covers Week 1-9 material |