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CALCULUS MAXIMUS

AP SCHOLARS, CINCO DE MAYO, 2015

SOLUTIONS TO THE 2015 AP CALCULUS FREE RESPONSE QUESTIONS: AB & BC

DOWNLOAD THE QUESTIONS W/O SOLUTIONS AT AP CENTRAL: AB & BC

 

The topics below are both AB and BC topics.  The topics preceded with an asterisk (*) are BC only topics.  All documents are .pdf

 

PROJECTS: HALLOWEEN

 

Open House Info: AB & BC, Bingo

 

AP Calculus Course Outline: AB, BC

AP Calculus Survival Guide

 

First Day Handouts

Note to Students (and Parents)

Personal Math Class Inventory

 

Appendix: Precalculus stuff to know cold  (Notes)

Appendix: Parent Function Catalog  (Notes)

Appendix: The Unit Circle  (Notes)

Appendix: Prerequisite Algebra Skills (WS)

 

Chapter 1: What is Calculus? 

1.1  What is AP Calculus? (Notes)

 

Chapter 2: Calculus prerequisites

2.1  Parent Functions  (Notes, WS/KEY)

2.2  Simplifying Expressions  (Notes, WS)

2.3  Equations of Lines  (Notes, WS)

2.4  Domain, Range, and Symmetry  (Notes, WS)

2.5  Fun with Functions  (Notes, WS)

2.6  Trigonometry  (Notes, WS)

 

Chapter 3: Limits

3.1  Limits & Continuity (Notes/V1/V2/V3/V4, WS/KEY)

3.2  Properties of Limits (Notes/V1/V2/V3/V4/V5, WS/KEY)

3.3  Limits at Infinity (Notes/V1/V2/V3/V4/V5, WS/KEY)

       Practice TEST 3.1-3.3

3.4  Algebraic Limits (Notes/V1/V2/V3/V4/V5/V6, WS/KEY)

3.5  Continuity on Intervals & IVT (Notes/V1/V2/V3/V4, WS/KEY)

       Practice TEST 3.1-3.5

 

Chapter 4: Differentiation

4.1  Tangent Line Problem & Differentiability (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9, WS/KEY)

       Practice TEST 3.4-4.1

4.2  Derivatives on the Calculator (Notes/V1)

4.3  Basic Differentiation Rules (Notes/V1/V2/V3/V4/V5/V6, WS/KEY)

4.4  Product & Quotient Rules (Notes/V1/V2/V3/V4, WS/KEY)

4.5  Rates of Change and Particle Motion I (Notes/V1/V2/V3/V4/V5/V6/V7, WS/KEY

       Practice TEST 4.1-4.5

4.6  The Chain Rule (Notes/V1/V2/V3/V4/V5, WS/KEY)

4.7  Implicit Differentiation (Notes/V1/V2/V3/V4/V5, WS/KEY) Practice TEST/KEY 4.1-4.7

4.8  Derivatives of Inverse & Inverse Trig Functions (Notes/V1/V2/V3/V4/V5, WS/KEY)

4.9  Derivatives of Exponential Functions (Notes/V1/V2/V3/V4, WS/KEY)

4.10 Derivatives of Log Functions & LOG DIFF (Notes/V1/V2/V3/V4, WS/KEY)

       Practice TEST/KEY 4.1-4.10

 

Chapter 5: Applications of Differentiation

5.1   Extrema on an interval (Notes/V1/V2/V3/V4/V5/V6, WS/KEY)

       Practice TEST/KEY 4.1-5.1

5.2   Rolle's Theorem and the MVT (Notes/V1/V2/V3/V4, WS/KEY)

5.3   Increasing, Decreasing, and 1st Derivative Test (Notes/V1/V2/V3/V4, WS/KEY)

5.4   Concavity and the Second Derivative Test (NotesV1/V2/V3/V4/V5/V6, WS/KEY

       Practice TEST 5.1-5.4

5.5   Curve Sketching (Notes/V1/V2/V3, WS

5.5B Summary Sheet (Notes)

5.6   Optimization (Notes/V1/V2/V3/V4/V5/V6/V7, WS/KEY)                    

5.7   Linearization and Differentials (Notes/V1/V2/V3, WS/KEY)

5.8   Related Rates (Notes/V1/V2/V3/V4/V5/V6/V7, WS/KEY

       Practice TEST 5.1-5.8

 

 

AB Fall Final Review 2014: Practice / TEST GRADE (Through section 5.3)

BC Fall Final Review 2014 Practice / TEST GRADE (Through section 6.1)

 

 

Chatper 6: Integration

6.1  Antiderivatives and Indefinite Integration (Notes/V1/V2/V3/V4, WS/KEY)

6.1B Basic Differentiation Practice (WS)

6.1C Mixed AP MC Review (WS)

6.2  Definite Integrals with Numeric Methods (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9, WS/KEY)

6.3  The FTOC I & II, the MVT II, & Avg Value (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9, WS/KEY)

       Practice TEST 6.1-6.3

6.4  Integration by u-Substitution (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9, WS/KEY)

 

Chapter 7: Differential Equations & Modeling

7.1  Separable Differential Equations (Notes/V1/V2/V3/V4/V5, WS/KEY)

       Practice TEST 6.4-7.3

7.2  Slope Fields (Notes/V1/V2/V3/V4, WS/KEY)

7.2B Mega Integration Practice (AB methods) (WS/KEY)

7.3  *Euler's Method (Notes/V1/V2, WS/KEY)

7.4  *Integration by Parts (Notes/V1/V2/V3/V4, WS/KEY)

7.5  *Partial Fractions & Logistic Growth (Notes/V1/V2/V3/V4/V5, WS/KEY)

 

Chapter 8: Applications of Integration

8.1  Integral as Net Change (Notes/V1/V2/V3/V4/V5/V6/V7/V8, WS/KEY)

8.2  Area between Curves (Notes/V1/V2/V3, WS/KEY)

8.3  Volumes (Notes/V1/V2/V3/V4/V5/V6, WS/KEY)

8.4  *Arc Length (Notes/V1/V2/V3, WS/KEY)

8.5  *L'HŰpital's Rule and Indeterminate Forms (Notes/V1/V2/V3/V4, WS/KEY)

8.6  *Improper Integrals (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9/V10, WS/KEY

       Practice TEST 8.1-8.6

 

Chatper 9: Vector Calculus

9.1  *Intro to Parametric & Vector Calculus (Notes/V1/V2/V3/V4/V5/V6, WS/KEY)

9.2  *Parametric & Vector Accumulation (Notes/V1/V2, WS/KEY) Worksheet II--review

 

Chapter 10: Polar Calculus

10.1 *Polar Intro & Derivatives (Notes/V1/V2/V3/V4/V5, WS/KEY)

10.2 *Polar Area (Notes/V1/V2/V3/V4, WS/KEY)

 

Chapter 11: Sequences & Series

11.1 *Infinite Sequences & Series (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9/V10/V11/V12/V13, WS/KEY)

        Summary of Tests for Convergence and Series Flow Chart with practice problems

11.2 *Taylor Polynomials (Notes/V1/V2/V3, WS/KEY)

11.3 *Power Series I: Taylor & Maclaurin Series (Notes/V1/V2/V3/V4/V5, WS/KEY)

11.4 *Power Series II: Geometric Series (Notes/V1/V2/V3/V4, WS/KEY)

11.5 *Lagrange Error Bound (Notes/V1/V2/V3, WS/KEY)

 

Chapter 12: After the AP Exam

12.1 Trig Substitution Integration (Notes/KEY, WS)

12.2 Partial Fraction Decomposition (Notes/KEY, WS)

12.3 Epsilon-Delta Proofs (Notes/KEY, WS)

12.4 Newton's Method (Notes/KEY, WS)

12.5 Surface Area (Notes/KEY, WS)

12.6 Hyperbolic Trig Functions (Notes/KEY, WS)

 

"Calculus Maximus," by Robert Grigsby, Calculus class of 2011

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

#KorpisLastMinuteListOfThingsToRememberNotToForget KEY

 

Calculus Review for AP examination (also called "exam" or "test" or "party").

 

#KorpisLastMinuteListOfThingsToRememberNotToForget KEY

 

AB

 

Calculus Cheat Sheet (by Paul)

AB 01

AB 02

AB 03

AB 04

AB 05

AB 06

AB 07

AB 08

AB 09

AB 10

AB 11

AB 12

AB 13

AB 14

 

 

Day 01

Day 02

Day 03

Day 04

Day 05

Day 06

Day 07

Day 08

Day 09

Day 10

Day 11

Day 12

Day 13

Day 14

Day 15

Day 16

Day 17

Day 18

Day 19

Day 20

Day 21

Day 22

Day 23

Day 24

Day 25

 

FULL-LENGTH PRACTICE EXAMS

 

AP AB Practice Exam (Princeton Review)

 

AP AB Practice Exam (Princeton 2012)

AP AB Practice Exam A (Peterson)

AP AB Practice Exam B (Peterson)

AP AB Practice Exam (Pearson 2007)

AP AB Practice Exam (Unknown 01)

AP AB Practice Exam (My Max Score 01)

AP AB Practice Exam (Cliff's)

 

BC

 

Calculus Cheat Sheet (by Paul)

BC 01

BC 02

BC 03

BC 04

BC 05

BC 06

BC 07

BC 08

BC 09

BC 10

BC 11

 

 

 

 

AP REVIEW 9

AP REVIEW 10

AP REVIEW 11

AP REVIEW 12

AP REVIEW 13

AP REVIEW 14

AP REVIEW 15

AP REVIEW 16

AP REVIEW 17

 

BC Pre-FINAL

BC FINAL

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

FULL-LENGTH PRACTICE EXAMS

 

AP BC Practice Exam (Princeton Review)

 

AP BC Practice Exam (Princeton Review 02)

AP BC Practice Exam (College Boardesque)

AP BC Practice Exam A (Peterson)

AP BC Practice Exam (Pearson 2007)

AP BC Practice Exam B (Peterson)

AP BC Practice Exam (Unknown 01)

AP BC Practice Exam (Cliff's)

MC Practice for Power Series KEY

 

    

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Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere.--W.S. Anglin

 

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