Home Calculus Maximus Precal Matters Other Maths Monday Mail Quotations Useful Links Unuseful Links About Me

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/KEY)

 

Chapter P: Calculus Prerequisites 

P.1  What is AP Calculus? (Notes)

P.2  Parent Functions  (Notes, WS/KEY)

P.3  Simplifying Expressions  (Notes, WS)

P.4  Equations of Lines  (Notes, WS)

P.5  Domain, Range, and Symmetry  (Notes, WS)

P.6  Fun with Functions  (Notes, WS)

P.7  Trigonometry  (Notes, WS)

 

Chapter 1: Limits

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

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

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

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

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

      

Chapter 2: Differentiation

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

2.2  Derivatives on the Calculator (Notes/V1, WS/KEY)

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

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

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

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

2.7  Implicit Differentiation (Notes/V1/V2/V3/V4/V5, WS/KEY)

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

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

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

      

Chapter 3: Applications of Differentiation

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

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

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

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

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

3.5B Summary Sheet (Notes)

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

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

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

 

AB Fall Final Review 2014: Practice / TEST GRADE (Through section 3.3)

BC Fall Final Review 2014 Practice / TEST GRADE (Through section 4.1)

 

Chatper 4: Integration

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

4.1B Basic Differentiation Practice (WS)

4.1C Mixed AP MC Review (WS)

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

4.3  The FTOC I & II and MVT II (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9, WS/KEY)

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

 

Chapter 5: Differential Equations & Modeling

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

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

5.2B Mega Integration Practice (AB methods) (WS/KEY)

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

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

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

 

Chapter 6: Applications of Integration

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

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

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

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

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

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

 

Chatper 7: Vector Calculus

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

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

 

Chapter 8: Polar Calculus

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

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

 

Chapter 9: Sequences & Series

9.1 *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

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

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

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

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

 

Chapter 10: After the AP Exam

10.1 Trig Substitution Integration (Notes/KEY, WS)

10.2 Partial Fraction Decomposition (Notes/KEY, WS)

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

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

10.5 Surface Area (Notes/KEY, WS)

10.6 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

 

    

free counter

 

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

 

Banner logo designed by Tate Korpi

Caricatures done by Thomas Korpi

This website is generously hosted by Mr. Jeremy Davenport.  Check out his company, Hierholzer Engineering Inc., at www.heitx.com