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Math S-Xab -
Introduction to Functions and Calculus
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| Course Info
| Schedule
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| Summer School
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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
| Week | Date | Topic | HW Due |
|---|---|---|---|
| 1 | MON 6/28 | No Class | |
| TUE 6/29 | §1.1-1.3 Functions | Bottle Calibration Handout | |
| WED 6/30 |
§2.1-2.4 Properties of Functions; Average Rates
of Change Worksheet - Properties and Graphs of Functions |
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| THU 7/1 |
§3.1-3.4 Graphs of Functions; Functions Working Together Worksheet - Functions Working Together Summary - Transformation Rules |
§1.2 #2, 12, 15, 18, 22, 23 §1.3 #1, 6, 14, 32, 42, 44 |
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| FRI 7/2 | Gateway 1: Algebra §4.1-4.4 Linear Functions |
§2.1 #4, 6 §2.2 #4, 6, 10, 15 §2.3 #2, 3, 4 §2.4 #6, 10, 12 |
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| 2 | MON 7/5 | No Class | |
| TUE 7/6 |
§5.1 The Derivative Worksheet - The Tangent Problem Handout - Growth Chart |
§3.1 #2, 6, 10 §3.2 #3, 4 ,14, 15, 19, 24 §3.3 #2 §3.4 #4, 6, 7 |
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| WED 7/7 |
§5.2-5.4 Using Derivatives Worksheet - Graphs of Derivatives |
§4.2 #1, 2, 3, 7, 8 |
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| THU 7/8 |
§6.1-6.4 Quadratic Functions Worksheet - Quadratic Functions |
§5.1 #5, 11, 15, 17, 21 | |
| FRI 7/9 | Midterm 1 (Covers §1.1-5.4) | §5.2 #4, 6, 11, 18 §5.3 #3, 6, 9, 12 §5.4 #1, 5, 8, 9 |
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| 3 | MON 7/12 |
§7.1-7.3 Limits Summary - Limit Laws |
§6.1 #1, 2, 6 §6.2 #2, 4, 5, 6 §6.3 #9, 12, 14 §6.4 #2, 4, 8 |
| TUE 7/13 |
§7.4, 8.1-8.3 Continuity; Local Linearity; Differentiation Formulas Worksheet - Continuity Worksheet - Differentiation Rules |
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| WED 7/14 |
§9.1-9.4 Exponential Functions Worksheet - Exponential Functions |
§7.1 #1, 7, 9, 10, 19, 20 §7.2 #2, 4, 10 §7.3 #1 |
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| THU 7/15 |
§10.1-10.2 Analysis of Extrema Worksheet - Analysis of Extrema |
§7.4 #2, 5, 7, 9, 17 §8.1 #1, 6 §8.3 #1, 3, 5, 7, 14, 19, 21, 23 |
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| FRI 7/16 |
§10.3 Optimization Worksheet - Optimization |
§9.1 #1, 3 §9.2 #25, 27, 29, 31 §9.3 #1, 3, 5 §9.4 #5, 6, 7, 8, 9, 14 |
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| 4 | MON 7/19 |
§11.1-11.4 Polynomial and Rational Functions Worksheet - Polynomials |
§10.1 #5-6, 10-12, 13-15, 18, 20 §10.2 #1, 3, 5, 10 |
| TUE 7/20 |
Gateway 2: Differentiation §12.1-12.3 Inverse Functions |
§10.3 #3, 5, 13, 15, 17 | |
| WED 7/21 |
§13.1-13.2 Logarithmic Functions Worksheet - Properties of Logarithms Review for Midterm 2 |
§11.1 #1, 3, 5, 7, 13 §11.2 #1, 3, 5, 7, 23 §11.3 #2, 5, 8, 10 §11.4 #3, 5, 7, 9 |
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| THU 7/22 | Midterm 2 (Covers §6.1-11.4) | No assignment due. | |
| FRI 7/23 |
§13.3-14.3 Usings Logarithms; Derivatives of Logarithmic
and Exponential Functions Worksheet - Solving Logarithmic and Exponential Equations Worksheet - Differentiating Logarithmic and Exponential Equations |
§12.1 #3, 5, 6, 7 §12.2 #2, 5, 6, 8 §12.3 #2, 4, 7 §13.1 #1 |
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| 5 | MON 7/26 | §16.1-16.3 The Chain Rule Worksheet - The Chain Rule |
§13.2 #1, 3, 5, 7, 9, 11, 13, 15, 16 §13.3 #2, 5, 9, 11, 13, 15, 17, 19, 21, 23, 27, 32 §13.4 #1, 2, 3 |
| TUE 7/27 | Gateway 3: Exponentials and Logarithms §17.1-17.4 Implicit Differentiation and Related Rates Worksheet - Implicit Differentiation and Related Rates |
§14.1 #1-8, 10 §14.2 #1-5, 8 §14.3 #6-13, 16, 18 |
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| WED 7/28 | §19.1-19.4 Trigonometric Functions |
§16.1 #4, 7, 10, 12, 16, 19, 20 §16.2 #1-4 §16.3 #1, 2, 8, 31, 34 |
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| THU 7/29 | §20.1-20.3 Triangle Trigonometry and Inverse Functions |
§17.1 #1, 3 §17.2 #1, 3 §17.3 #1, 5, 6, 10 §17.4 #3-5, 11, 13 |
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| FRI 7/30 | §20.4-20.6 Trigonometric Equations and Identities |
§19.1 #3, 4 §19.2 #2, 4, 6, 15 §19.3 #3, 10, 13 §19.4 #1, 2, 5, 6 |
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| 6 | MON 8/2 | §21.1-21.2, 21.4 Derivatives of Trigonometric Functions |
§20.1 #1, 3, 6, 7 §20.2 #1, 6, 9 §20.3 #1, 5, 7, 12 |
| TUE 8/3 | §21.3 Applications of Trig Derivatives |
§20.4 #1, 5, 8, 11, 13 §20.5 #1, 3, 7 §20.6 #5, 7 §21.1 #1, 2 |
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| WED 8/4 | §22.1-22.2 Net Change and the Definite Integral |
§21.2 #1, 2, 8, 10-13 §21.3 #1, 3, 12, 14 §21.4 #1-5 |
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| THU 8/5 | Midterm 3 (Covers §13.1-21.4) | No assignment due. | |
| FRI 8/6 | §22.3-22.4 Properties of the Definite Integral |
§22.1 #1, 3, 5, 7 §22.2 #2, 4, 5, 6 |
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| 7 | MON 8/9 | Gateway 4: Trigonometry §23.1-23.2 The Area Function |
§22.3 #1, 2, 3, 5, 6 §22.4 #1, 2, 3, 6 |
| TUE 8/10 | §23.3-24.1 The Fundamental Theorem of Calculus |
§23.1 #1 §23.2 #1, 2 |
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| WED 8/11 | §24.2-25.1 Average Value of a Function; Antiderivatives |
§23.3 #1, 2, 3 §24.1 #2, 5, 6, 9, 13, 22 |
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| THU 8/12 | §25.2-25.3 The Substitution Rule |
§24.2 #1, 2, 5, 9, 13 §25.1 #1-11 |
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| FRI 8/13 | Review |
§25.2 #1, 2, 3, 7, 10, 11, 14, 17, 29 §25.3 #1 |
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| 8 | MON 8/16 | No Class | |
| TUE 8/17 | Final Exam |
Page maintained by Derek Bruff
(bruff@fas.harvard.edu).
Last updated on
July 22, 2004.
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