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AP Calculus Assignments

Date Due

Assignment

Chapter 1:  Limits and Their Properties

 

1.2 Finding Limits Graphically and Numerically

 

1.3 Evaluating Limits Analytically

 

1.4 Continuity and One-Sided Limits

 

1.5 Infinite Limits

 

Chapter 1 Review

 
 

2.1 The Derivative and the Tangent Line Problem

 

2.2 Basic Differentiation Rules and Rates of Change

 

2.3 The Product and Quotient Rules and Higher-Order Derivatives

 

2.4 The Chain Rule

 

2.5 Implicit Differentiation

 

2.6 Related Rates

 

Chapter 2 Review

 
 

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

 

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

 

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

 

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

 

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

 

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

 
  4.2 Left-Side, Right-Side, Midpoint & Trapezoid Area Approximation - Worksheet - Answers
 

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

 

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

 

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

 

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

 
 

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

 

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

 

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

 
 

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

 

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

 

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

 

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

 
 

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

 

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

 
  1st three pages of packet and grade them yourself. (Time yourself)
  2nd three pages of packet and grade them yourself. (Time yourself)
  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.
 
  Fast Track to a 5 - Read Chapter 1 and do problems on pages 48-52
  Fast Track to a 5 - Read Chapter 2 and do problems on pages 63-70
  Fast Track to a 5 - Read Chapter 3 and do problems on pages 79-88
  Fast Track to a 5 - Read Chapter 4 and do problems on pages 101-108
  Fast Track to a 5 - Read Chapter 5 and do problems on pages 118-126
  Fast Track to a 5 - Read Chapter 6 and do problems on pages 136-144
 
  Fast Track to a 5 - Take Diagnostic Test (Multiple Choice) p.13-20 & (Free Response) p.21-23
  Fast Track to a 5 - Take Practice Test 1 (Multiple Choice) on pages 203-211 & (Free Response) on pages 211-213
  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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