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AP Calculus Assignments

Date Taught

Assignment

Chapter 1:  Limits and Their Properties

8/22

1.2 Finding Limits Graphically and Numerically - p.54(1,7-23odd,63-67)

8/24

1.3 Evaluating Limits Analytically - p.67(1,17-81odd,113-117) skip 57-65

8/26

1.4 Continuity and One-Sided Limits - p.78(1-71,81-91,107odd) skip 13,19-23,49-55,65

8/26

1.5 Infinite Limits - p.88(1-55odd,67-70) skip 25

Chapter 1 Review - p.91(5,11-15,21,31-67odd) skip 37

Limit Review Sheet

Chapter 2:  Differentiation

9/7

2.1 The Derivative and the Tangent Line Problem - p.103(1,3,17,19,37,39,81-89odd,99-102)

9/9

2.2 Basic Differentiation Rules and Rates of Change - p.115(3-67,89-97,113odd,83-88)

9/12

2.3 The Product and Quotient Rules and Higher-Order Derivatives - p.126(1-51,59-73,87,93-115,129-133odd,118,134) skip 37,63

9/14

2.4 The Chain Rule - p.137(7-29,49-71,81-85,91-97odd)

9/19

2.5 Implicit Differentiation - p.146(5-15,21-27,31-37,45-47odd)

9/23

2.6 Related Rates - p.154(1-27odd) skip 9-13,17

 

Chapter 2 Review - p.158(1,5,23-27,33,37-79,91,101,109odd,110)skip 65,73,75

Chapter 3:  Applications of Differentiation

10/3

3.1 Extrema on an Interval – p.169(1,5-41,53-57odd,63-66) skip 29,31,35

10/5

3.2 Rolle's Theorem and the Mean Value Theorem - p.176(9-19,29-45,53-55odd,73-76) skip 35

10/7

3.3 Increasing and Decreasing Functions and the First Derivative Test - p.186(1-7,21-43,55-67,85-89odd, 95-100) skip 31

10/12

3.4 Concavity and the Second Derivative Test - p.195(1-5,11-39,45-55odd,79-82) skip 13,27,33

10/14

3.5 Limits at Infinity - p.205(15-29,51,55-61odd,105,106)

10/21

3.6 A Summary of Curve Sketching - p.215(1-7,17,19,25,31,39,41,47-51,67)

 

3.7 Optimization Problems – p.223(3-19odd,20) skip 17

 

3.9 Differentials - p.240(11-19,27-31odd)

 

Chapter 3 Review - p.242(3-53odd,85-87) skip 7,21,29,31,45,47

Chapter 4:  Integration

11/10 4.2 Left-Side, Right-Side, Midpoint & Trapezoid Area Approximation - Worksheet - Answers
11/8

4.1 Antiderivatives and Indefinite Integration - p.255(9-73odd,88-92) skip 53

11/14

4.3 Riemann Sums and Definite Integrals - p.278(13-43,47odd,63-68) skip 29-31

11/18

4.4 The Fundamental Theorem of Calculus - p.291(9-59,73,77-93odd,101,102)

11/28

4.5 Integration by Substitution - p.304(7-87,113,115odd)

 

Chapter 4 Review - p.316(3-15,27,37,41-49,59-95odd) skip 77

Chapter 5:  Logarithmic, Exponential, and Other Transcendental Functions

1/9

5.1 The Natural Logarithmic Function: Differentiation - p.329(19-93odd,103,104) skip 59-67,81,87-91

1/11

5.2 The Natural Logarithmic Function: Integration - p.338(7-51,61,63,67,71,75,87,91odd,97-100) skip 15,17,23,27,39,47

1/18

5.4 Exponential Functions: Differentiation and Integration - p.356(5-13,33-69,85-115odd) skip 63

 

5.5 Bases Other than e and Applications - p.366(1-73,79odd) skip 9-13,31-35

 

5.6 Inverse Trigonometric Functions: Differentiation - p.377(41-47odd)

 

5.7 Inverse Trigonometric Functions: Integration - p.385(1-11odd)

Chapter 5 Review - p.399(3-23,39-59,65-73,81,87odd) skip 13,57

Chapter 6:  Differential Equations

1/30

6.1 Slope Fields and Euler’s Method - p.409(37-59odd) skip 45

2/1

6.2 Differential Equations: Growth and Decay - p.418(1-9,15-27,41odd,73-76)

2/3

6.3 Separation of Variables and the Logistic Equations - p.429(5-17,23,47odd)

 

Chapter 6 Review - p.441(3-27odd)

Chapter 7:  Applications of Integration

2/15

7.1 Area of a Region Between Two Curves - p.452(1-5,13,21-37,43-49,53,57odd) skip 31

2/17

7.2 Volume: The Disk Method - p.463(1-37odd,61-63)

AP Exam Review
3/5
1st three pages of packet and grade them yourself. (Time yourself)
2nd three pages of packet and grade them yourself. (Time yourself)
3/5
Fast Track to a 5 - Read Taking the AP Calculus Examination p. 7-12 - Write 1 page (List or Essay) about specific things you thought were insightful or will need to remember for the AP Exam.

For each of the following chapters out of the Fast Track to a 5 Book, do the following.
Write a 1 page list of which TIPS you thought were insightful and question you have about specific problems or the chapter in general.

Due 3/9
Fast Track to a 5 - Read Chapter 1 and do problems on pages 48-52
Due 3/9
Fast Track to a 5 - Read Chapter 2 and do problems on pages 63-70
Due 3/9
Fast Track to a 5 - Read Chapter 3 and do problems on pages 79-88
Due 3/16
Fast Track to a 5 - Read Chapter 4 and do problems on pages 101-108
Due 3/16
Fast Track to a 5 - Read Chapter 5 and do problems on pages 118-126
Due 3/21
Fast Track to a 5 - Read Chapter 6 and do problems on pages 136-144
Take the following Practice AP Exams. Time yourself. Grade it using the Scoring Chart on p.40
Go back an make corrections and explain your mistakes.
Due 3/30
Fast Track to a 5 - Take Diagnostic Test (Multiple Choice) p.13-20 & (Free Response) p.21-23
Due 4/13
Fast Track to a 5 - Take Practice Test 1 (Multiple Choice) on pages 203-211 & (Free Response) on pages 211-213
Due 4/20
Fast Track to a 5 - Take Practice Test 2 (Multiple Choice) on pages 231-238 & (Free Response) on pages 239-241
Princeton Review Book
  Princeton Review Page 309 Part A (Multiple Choice Practice Test)
  Princeton Review Page 321 Part B (Multiple Choice Practice Test)
  Princeton Review Page 327 Part A (Free Response Practice Test)
  Princeton Review Page 329 Part B (Free Response Practice Test)
  Princeton Review Page 371 Part A (Multiple Choice Practice Test)
  Princeton Review Page 383 Part B (Multiple Choice Practice Test)
  Princeton Review Page 390 Part A (Free Response Practice Test)
  Princeton Review Page 392 Part B (Free Response Practice Test)
  Princeton Review Page 431 Part A (Multiple Choice Practice Test)
  Princeton Review Page 444 Part B (Multiple Choice Practice Test)
  Princeton Review Page 451 Part A (Free Response Practice Test)
  Princeton Review Page 455 Part B (Free Response Practice Test)
   
  Final Project - Assignment


This site has videos for the first two chapters!

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