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Math Xb -
Introduction to Functions and Calculus II
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In the table below, "Class" refers to your regular MWF section meeting.
Numbered labs (such as "Lab 1" and "Lab 2") are graded assignments distributed and started during lab meetings. Attendance is required for these lab meetings. Graded labs are due in class the following day.
"Problem Session" refers to lab meetings in which your CA will review current course material and answer homework questions. Attendance is optional, but highly recommended, for these lab meetings.
Note that the schedule listed below is subject to change. Check back often to make sure you are aware of the current course schedule.
Week 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14
| Week | Day | Activity | Topic | HW Assignment Due |
| 1 | WED 2/4 | None | ||
| THU 2/5 | None | |||
| FRI 2/6 | None | |||
| 2 | MON 2/9 | Class |
First Semester Review Worksheet / Solutions |
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| TUE 2/10 | None | |||
| WED 2/11 | Class |
§17.1 - 17.2 Logarithmic Differentiation Worksheet / Solutions |
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| THU 2/12 | Lab 1 |
Exponential and Logarithmic Functions Lab / Solutions |
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| FRI 2/13 | Class |
§17.3 Implicit Differentiation Handout |
§17.1 #1, 2, 3 §17.2 #2, 3, 4, 7 HW Solutions |
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| 3 | MON 2/16 | None | President's Day | |
| TUE 2/17 | Problem Session | |||
| WED 2/18 | Class |
§17.4 Related Rates Strategy / Useful Formulas / Sample Problem |
§17.3 #1, 3, 6, 12 (b, e, g), 14 HW Solutions |
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| THU 2/19 | Lab 2 |
Related Rates Lab / Solutions |
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| FRI 2/20 | Class |
§18.1 Geometric Sums Worksheet / Solutions |
§17.4 #3, 4, 5, 9, 14 HW Solutions |
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| 4 | MON 2/23 | Class |
§18.2 Infinite Geometric Series Worksheet / Solutions |
§18.1 #2, 3, 6, 7, 15, 16, 19, 25, 30, 33 HW Solutions |
| TUE 2/24 | Gateway 1 | Exponential and Logarithmic Functions | ||
| WED 2/25 | Class |
§18.4 Summation Notation Worksheet / Solutions |
§18.2 #12, 13, 14 HW Solutions |
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| THU 2/26 | Lab 3 |
The Ferris Wheel Problem Lab / Solutions |
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| FRI 2/27 | Class |
§18.5 Applications of Geometric Sums and Series Worksheet / Solutions |
§18.4 #4, 10, 12, 13, 14, 17, 18 HW Solutions |
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| 5 | MON 3/1 | Class |
§19.1 - 19.2 Sine and Cosine Functions Calibrated Unit Circle |
§18.5 #4, 11, 16, 19 HW Solutions |
| TUE 3/2 | Problem Session | |||
| WED 3/3 | Class |
§19.3 - 19.4 The Tangent Function; Angles and Arc Length Worksheet / Solutions |
§19.1 #3, 4 §19.2 #2, 6, 9, 10, 13 HW Solutions |
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| THU 3/4 | Lab 4 |
Sine, Cosine, and Tangent Lab / Solutions |
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| FRI 3/5 | Class |
§20.1 - 20.2 Right-Triangle Trigonometry Worksheet / Solutions |
§19.3 #3, 7, 10 §19.4 #2, 3, 4, 6, 11 HW Solutions |
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| 6 | MON 3/8 | Class |
§20.3 - 20.4 Inverse Trig Functions; Solving Trig Equations Worksheet / Solutions |
§20.1 #1, 4, 6, 7 §20.2 #1, 3, 4, 8 HW Solutions §20.1 HW Solutions §20.2 |
| TUE 3/9 | Lab 5 |
Modeling with Trig Functions Lab / Solutions |
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| WED 3/10 | Class |
§20.5 - 20.6 Laws of Sines and Cosines; Trig Identities Trig Identities / Worksheet / Solutions |
§20.3 #1, 2, 3, 7 §20.4 #1, 2, 8, 13, 14 HW Solutions |
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| Review Session |
Prepare for Midterm 1 Midterm 1 Review Guide |
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| THU 3/11 | Gateway 2 | Trigonometry | ||
| FRI 3/12 | Class | §21.1 - 21.2 Derivatives of Trig Functions |
§20.5 #1, 2, 4, 7 §20.6 #2, 3, 7, 8 HW Solutions |
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| 7 | MON 3/15 | Class |
§21.3 Applications of Trig Derivatives Worksheet / Solutions |
§21.1 #1, 2, 3 §21.2 #3, 6, 8, 10, 12, 14 HW Solutions |
| TUE 3/16 | Midterm 1 | Covers Chapters 17-20 | ||
| WED 3/17 | Class | §21.3 Applications of Trig Derivatives | ||
| THU 3/18 | Problem Session | |||
| FRI 3/19 | Class |
§21.4 Derivatives of Inverse Trig Functions Worksheet / Solutions |
§21.3 #1, 5, 8, 12, 14, 23 HW Solutions |
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| 8 | MON 3/22 | Class |
Appendix F: L'Hopital's Rule Worksheet / Solutions |
§21.4 #1, 2, 3, 4, 5 HW Solutions |
| TUE 3/23 | Lab 6 |
An Interesting Limit Lab / Solutions |
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| WED 3/24 | Class |
Appendix F: L'Hopital's Rule Worksheet / Solutions |
App. F #3, 4, 6, 7, 11, 13 HW Solutions |
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| THU 3/25 | Problem Session | |||
| FRI 3/26 | Class | Appendix G: Newton's Method |
App. F #9, 19, 20, 21, 22 HW Solutions |
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| 9 | MON 3/29 | None | Spring Recess | |
| TUE 3/30 | None | Spring Recess | ||
| WED 3/31 | None | Spring Recess | ||
| THU 4/1 | None | Spring Recess | ||
| FRI 4/2 | None | Spring Recess | ||
| 10 | MON 4/5 | Class | §22.1 Net Change in Amount | |
| TUE 4/6 | Lab 7 |
Net Change Handout / Solutions |
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| WED 4/7 | Class | §22.1 - 22.2 Net Change and the Definite Integral |
App. G #1, 3, 7, 9 HW Solutions §22.1 #1, 3, 7 HW Solutions |
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| THU 4/8 | Problem Session | |||
| FRI 4/9 | Class |
§22.3 The Definite Integral: Qualitative Analysis Worksheet / Solutions |
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| 11 | MON 4/12 | Class |
§22.4 Properties of the Definite Integral Worksheet / Solutions |
§22.1 #4 §22.2 #1, 4, 5, 6 §22.3 #1, 3, 5, 6 HW Solutions |
| Review Session | Prepare for Midterm 2 | |||
| TUE 4/13 | Problem Session | |||
| WED 4/14 | Class |
§23.1 - 23.2 The Area Function Worksheet / Solutions |
§22.4 #1, 2, 3, 5, 6, 8 HW Solutions |
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| THU 4/15 | Midterm 2 | Covers §21.1-21.4, §22.1-22.3, Appendices F, G | ||
| FRI 4/16 | Class | §23.3 Fundamental Theorem of Calculus (FTC) Version 1 | ||
| 12 | MON 4/19 | Class | §24.1, 25.1 FTC Version 2; Antiderivatives |
§23.1 #2, 4 §23.2 #1, 2 HW Solutions §23.3 #1, 2, 3 HW Solutions |
| TUE 4/20 | Lab 8 |
Appreciating the FTC Handout / Solutions |
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| WED 4/21 | Class |
§25.2 The Substitution Rule Worksheet / Solutions |
§24.1 #2, 5, 6, 8, 13 HW Solutions §25.1 #1-11 odd, 14, 19 HW Solutions |
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| THU 4/22 | Gateway 3 | Differentiation | ||
| FRI 4/23 | Class |
§25.3 More Substitution Rule Worksheet / Solutions |
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| 13 | MON 4/26 | Class | §27.2 Area Between Curves |
§25.2 #1, 2, 3, 7, 10, 17, 24, 26 HW Solutions Page 1 Page 2 |
| TUE 4/27 | Lab 9 |
The Substitution Rule Handout |
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| WED 4/28 | Class | Course Evaluations |
§25.3 #1-11 odd HW Solutions |
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| THU 4/29 | Problem Session | |||
| FRI 4/30 | Class | §24.2 Average Value of a Function |
§27.2 #1, 3, 5, 6, 9, 13 HW Solutions Page 1 Page 2 |
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| 14 | MON 5/3 | Class |
§15.2 Introducing Differential Equations Worksheet / Solutions |
§24.2 #1, 2, 5, 9, 13 HW Solutions |
| TUE 5/4 | Lab 10 |
Differential Equations Handout / Solutions |
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| WED 5/5 | Class |
§31.1 Modeling with Differential Equations Worksheet / Solutions |
§15.2 #2, 3, 6, 11, 16 HW Solutions |
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| THU 5/6 | Problem Session | |||
| FRI 5/7 | Class | Review |
§31.1 #1, 2, 3, 4 HW Solutions |
Page maintained by Derek Bruff
(bruff@fas.harvard.edu).
Last updated on May 12, 2004.
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