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Calculus AB Homework Schedule - Chapter 3, part A (3.1-3.5) |
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HW# |
Period 6 |
Period 4 |
Book |
First Page |
CALCULUS |
| 50 |
Old: Thu 10/23 |
Old: Wed 10/22 |
3.1 | 115 | Textbook Chapter 3.1: 9, 15, 23, 51, 53, 56*, 63, 67, 69. Power rule (xn) and tangent lines. *=challenging and required. |
| 51A | Tue 12/2 | Wed 12/3 | 3.1 | 115 | 3.1, p.115: 11, 27, 33, 41, 54, 57, 61, 62. More xn rule. |
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51B |
Tue 12/2 | Wed 12/3 | 3.2 | 120 | 3.2, p.120: 1, 5, 23, 25, 37, 41, 43, 44. Exponentials. |
| 322 | Tue 12/2 | Wed 12/3 | Handout: Sheet #322: Derivatives of Polynomials and Exponentials - [Solutions] | ||
| Handout: Calculus Derivatives: Formulas to Know and Derive. Memorize Formulas 1, 2, 3, 5, 6, and 8. Correction: Formula E should say −csc2(x). | |||||
| 52 |
(3.1, 3.2) |
B65 | B Set 3: 5, 6, 27. xn rule. B Sets (same as for CSV textbook Chapter 2). | ||
| 53 | Thu 12/4 | Fri 12/5 | 3.3 | 124 | 3, 5, 9, 21, 40, 53. Product rule. |
| 54 | Thu 12/4 | Fri 12/5 | 3.3 | 124 | 11, 15, 25, 31, 33, 46, 50, 51. Quotient rule. |
| 55 | (3.3) | B65 | B Set 3: 2, 19, 32. Product, Quotient rules. | ||
| 301 | Mon 12/8 | Mon 12/8 | (1.3) | Practice Sheet #301 packet from Functions Modeling Change, p.348: Problems 22, 29, 46, 47, 49. Answers in back of packet. (De)compositions. | |
| 341 | Mon 12/8 | Mon 12/8 | (3.4) | 130 |
Sheet #341: Chain Rule And Graphs - [Questions] -
[Solutions]
Compositions, stretches, shrinks and chain rule. |
| Tue 12/11 | Wed 12/10 | Sheet #342: Chain Rule: Algebraically - [Answers]. | |||
| 56 | Tue 12/11 | Wed 12/10 | 3.4 | 130 | 3, 5, 9, 17, 21, 25, 27. Chain rule, part A. |
| 57 | Thu 12/13 | Fri 12/15 | 3.4 | 131 |
20,
33, (37), (39), 41, 47, 49, 72[Important], 85. Chain rule, part B. For 20 and 47, use repeated chain rule, Textbook Ex. 4 p.129. ()=Optional. |
| 58 | (3.4) | B65 | B Set 3: 3, 4, 8, 80. Chain rule. | ||
| 59 | Tue 12/11 | Wed 12/10 | 3.4 | 131 | 53, 55, 57, 61, 63, 69, 71. Chain rule, part C. Graphs that can be converted to tables, tables, second derivative, tangent line. |
| 60 | (3.4) | B65 | B Set 3: 55−61. Chain rule: table. | ||
| Sheet N120: Trigonometry (formulas). | |||||
| 61 | Tue 12/11 | Wed 12/10 | 3.5 | 136 | 3, 5, 9, 11, 17, 21, 25, 33. Trig, part A: sin(x), cos(x) including chain rule. |
| 62 | Thu 12/13 | Fri 12/15 | 3.5 | 136 | 15, 16, 19, 27, 29, 36, 41, 43*, 45. Trig, B: tan(x) and applications. |
| 63 | (3.5) |
B65 B125 |
B Set 3, p.B65: 1, 14, 16, 30, 77, 93.
Trigonometry. B Set 4, p.B125: 3. Find equation of line tangent to y=xsinx at (π/2,π/2). [Ans: y=x]. |
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| 354 | Tue 12/16 | Wed 12/16 | Review Sheet #354: Practice on Differentiation - [Solutions (more complete)]. Helps you to avoid common mistakes on the test. | ||
| 355 | Mon 12/15 | Mon 12/15 | Review Sheet #355: Test Review for Chapter 3.1−3.5. 21 (+8) Questions and Answers. Collected at Test. | ||
| 64 | Tue 12/16 | Wed 12/16 | B Set 3: 1−6, 8, 14, 16, 27, 30, 32, 55−61, 77, 80, 93. Take about 60 minutes. B Sets (same set as before). | ||
| 65 | in class | in class | Review: Three Differentiation Questions - [Solutions]. | ||
| Thu 12/18 | Fri 12/19 | Review: Memorize Derivatives Formulas 1, 2, 3, 5, 6, and 8 (see handout). | |||
| Thu 12/18 | Fri 12/19 | Test 5. Chapter 3.1−3.5. Multiple choice, no calculator. No notes. Memorize formulas. The test will require both knowledge and speed. You will need to know the material thoroughly. | |||
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Calculus AB Homework Schedule - Chapter 3, part B (3.6-3.10) |
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HW# |
Period 6 |
Period 4 |
Book |
First Page |
CALCULUS |
| 72 | Thu 1/8/09 | Fri 1/9/09 | 3.6 | 141 | 1, 3, 7, 11, 22, 27. Intro to inverses: ln(x) only. |
| 73 | Thu 1/8/09 | Fri 1/9/09 | 3.6 | 141 | 15, 17, 19, 21, 23. Intro to inverse trig: sin−1(x) and cos−1(x) only. |
| 75 | Thu 1/8/09 | Fri 1/9/09 | 3.6 | 143 | 55*, 57. Inverse at a point (xn and table). *=challenging and required. |
| Sheet #362: First and Second Tables for Differentiation Problems | |||||
| 362A | Thu 1/8/09 | Fri 1/9/09 | (3.6) | Let S(x) be the inverse of f(x) in the "First Table." Find S '(2), and S '(3). Does S '(1) exist? Does S '(5) exist? | |
| 362B | Mon 1/12 | Fri 1/9/09 | (3.6) | Let R(x) be the inverse of g(x) in the "First Table." Find R '(0), and R '(1). Does R '(2) exist? Does R '(5) exist? | |
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361A |
Thu 1/8/09 | Mon 1/12 | Part A of Sheet #361: Inverses and Conic Sections: a Refresher - [Solutions]. Solving for inverses. | ||
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361B |
Mon 1/12 | Mon 1/12 | Part B of Sheet #361: Inverses and Conic Sections: a Refresher - [Solutions]. Circles and ellipses. | ||
| 363 | Mon 1/12 | Mon 1/12 | Sheet #363: Preparation for Derivatives of Inverses and Implicit Differentiation - [Solutions]. Done in class. | ||
| Mon 1/12 | Mon 1/12 | Look over past homework and your notes. Prepare for Sections 3.7 and 3.9 (for example by reading). | |||
| 76 | Tue 1/13 | Wed 1/14 | 3.7 | 145 | 1, 3, 8, 29, 30. Intro to implicit functions, part A. |
| 77 | Tue 1/13 | Wed 1/14 | 3.7 | 145 | 11, 21, 23, 25^, 31a,b,c^^. ^Hint for 25: multiply by denominator first. ^^For 31b, show that y'=1/8. For 31c, solve using TI−83. Implicit functions, part B. |
| 78 |
Period 6: optional practice |
Fri 1/16 | 3.7 | 145 | More challenging: 12, 20, 23^, 28^^. Read this: ^For 23: also find y' at the point by instead using the inverse y = 1/x2. Why is it the inverse? You can also solve for y and make an explicit equation. ^^For 28, why is it a circle centered at (2, −3.5)? |
| Thu 1/15 | Fri 1/16 | Quiz on 3.6 and 3.7. | |||
| 81 | in class | Fri 1/16 | 3.9 | 154 | 1, 3, 5, 10, 11, 12. Compare 1 with 10b. Linearization. More explanations: 'B Set' guide Chapter 4−L, p.B117. |
| 82 |
extra practice |
extra practice |
3.10 | 158 | 6, 7, 8, 9. Mean Value Theorem (MVT). More explanations: 'B Set' guide Chapter 3−I, p.B60. |
| 395 |
extra practice |
in class & extra practice |
(3.10) | F192 | Sheet #395: Mean Value Theorem (Section 4.2) with answers: 15, 17, 19, 21, 23, 39, 41. MVT. |
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If you don't have a review guide: Get a guide of any edition so that you can read the explanations that go with the questions. Explanations have not changed since 2005. I prefer the old 8th edition (with the question numbering used for this course) but the new 9th edition works when used together with the handouts. |
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| 83A | See Below | See Below | (3.7) |
B65, B416 |
B Set 3, B65: 21, 22, 23, 24. Intro Implicit.
B Sets (Answers and
Solutions available here). Free Response Ch. 12, B416: 2. [9th edition: Page 489, Question 2]. Intro Implicit. |
| 83B |
See Below
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See Below | (3.6) | B65 |
B Set 3, B65: 41, 62, 72, 73, 74, 83*, 84, 85. Inverses. *=challenging and required. |
| 84A | See Below | See Below | (3.6) | B65 |
B Set 3, B65: 9, 11, 13, 18, 28 ln(x). B Set 3, B65: 10, 20. Inv. Trig. |
| 84B | See Below | See Below | (3.7) |
B65, B125 |
B Set 3, B65: 29, 43, 79*. Implicit differentiation. B Set 4, B125: 1, 2, 7, 9*, 17*. Implicit and Tangents. B Sets |
| 85 | See Below | See Below | (3.10) | B65 | B Set 3, B65: 39, 40, 71[need TI], 82, 94, 101. MVT. |
| 86 | See Below | See Below | (3.9) |
B65, B125 |
B Set 3, B65: 31. Linear approximation. B Set 4, B125: 39, 48, 49, 89, 90. Linearization. B Sets |
| 362C | See Below | See Below |
(3.5, 3.6) |
Use the "Second Table" PDF or Test on p.B442. Let W(x) = [f(x)]3. Find W '(1). Let V(x) = f(x2). Find V '(2). Let T(x) be the inverse of f(x). Find T '(2). Answers: 6, 16, 2. | |
| See Below | See Below | Learn Formulas 1, 2, 3, 4, 5, 6, 8, 9, 10/10b, D, H, I, J. Review Linearization and MVT. | |||
| Wed 1/21 | Tue 1/20 | Review: HW#362C and all the B Set HW exercises (about 40 questions, 120 minutes). You should know how to do the steps of calculator questions even if there will be no calculator on Test 5. Turn in work at the time of the test (as separate sheets or by turning in the book itself). | |||
| Printable PDF Page of the Review Assignment [here] - [More review info] | |||||
| Thu 1/22 | Fri 1/23 | Test 6. Chapter 3. No calculator. No notes. The test will require knowledge and speed. | |||
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Calculus AB Homework Schedule - Chapter 4 |
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HW# |
Period 6 |
Period 4 |
Book |
First Page |
CALCULUS |
| 450 | Mon 1/26 | Mon 1/26 | Sheet #450: Optimization and Modeling. Use the TI−83 calculator to find maxima and minima. Make sketches of your graphs and keep track of window sizes. | ||
| 411 | info | info | Sheet #411: First Derivative Test for Local Extrema. Definitions and information. | ||
| 401 | Tue 1/27 | Wed 1/28 | 4.1 | 172 | 1, 3a, 5, 15, 17, 19, 25, 33, 39, 41. Critical points, points of inflection from graphs and table. |
| 404 | Thu 1/29 | Fri 1/30 | 4.1 | 173 | 6, 9, 12, 24, 27. More critical points, etc. |
| 405 | Tue 2/3 | Mon 2/2 | (4.1) | B125 | B Set 4: 12−13, 14, 15, 54−56, 86−88. Max, min. Algebra, graphs. Consider endpoints, when appropriate. B Sets with answers and SOLUTIONS! |
| 406 | Thu 1/29 | Fri 1/30 | (4.3) | Sheet #406: Practice of Derivatives & Critical Points (D.C.1). Contains answers. | |
| 407 | Thu 1/29 | Fri 1/30 | 4.3 | 186 | 3, 5, 7, 9, 35. Local and global max/min. |
| 408 | 4.3 | 186 | 1, 2, 11, 19, 35. Local and global max/min including g' given. | ||
| 440 | Tue 2/3 | Fri 1/30 | (4.4) | Sheet #440: Maximizing Profit- [Solutions]. Need TI calculator. | |
| 454 | Tue 2/3 | Wed 2/4 |
(renumbered from 451) Sheet#454: Minimizing Distance from a Point to a Curve - [Solutions]. |
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| 409 | Thu 2/5 | Wed 2/4 |
(4.3, 4.5) |
B Set 4: 26, 33, 34, 36, 57−63, 67, 68, 85. Maxima, minima, motion, optimization. | |
| 412 | 4.4 | 195 | 3, 5, 9(table), 13(graph MR, MC). Maximizing Profit=Revenue−Cost. See also Sheet #440. | ||
| 413A | 4.5 | 203 | 11(inscribe), 17, 23. Modeling and optimization. | ||
| 413B | 4.5 | 203 | 13, 19. Modeling and optimization. | ||
| Thu 2/5 | Fri 2/6 | Quiz on recent HW including HW#409 and sheets. | |||
| 453 | Mon 2/9 | Mon 2/9 | Sheet #453: Chapter 4.1 to 4.5 Review [Questions] - [Answers]. Know how to do the questions without the multiple choices given. Know how to explain your answers in words, with algebra, and with graphs. Know critical points. Know the Extreme Value Theorem. Know the first and second derivative tests. | ||
| Tue 2/10 | Wed 2/11 | Collected: HW Record sheets, Review packet. | |||
| Tue 2/10 | Wed 2/11 | Test 7. Chapter 4. No notes. Calculator allowed. However, you will be required to show algebraic methods on some questions. Free response. No multiple choice. See review explanations above. | |||
| 414 |
begun 2/12 |
(4.6) |
B Set 4: 31, 32, 42; 78, 80−81.
Related rates.
B Sets. In class work. Reading: CSV Textbook Chapter 4.6, p.206, and "B Guide" 4−M RelatedRates, p.B121. |
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| There will be work due early in Trimester 3 but not on the first day back. | |||||
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