Calculus Maximus


 

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)

 

1 Intro: What is Calculus?   (Notes)

1.1  What is AP Calculus? (Notes)

 

2 Intro: Calculus prerequisites  (Notes)

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)

 

3 Intro: Limits (Notes)

3.1  Intro to Limits (Notes/V1/V2/V3/V4, WS/KEY)

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

3.3  Limits and 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

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

 

4 Intro: Differentiation (Notes)

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 4.1-4.10

 

5 Intro: Applications of Differentiation (Notes)

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 2013 HERE (Through section 5.1) **FOR A TEST GRADE**

BC Fall Final Review 2013 HERE (Through section 5.8) **FOR A TEST GRADE**

 

 

6 Intro: Integration (Notes)

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

6.1B Basic Differentiation Practice (WS)

6.2  Definite Integrals & Area with Riemann Sums & Trapezoidal Rule (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 and Pattern Recognition (Notes/V1/V2/V3/V4/V5/V6/V7/V8/V9, WS/KEY)

 

7 Intro: Differential Equations & Modeling (Notes)

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

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

7.3  Separable Differential Equations (Notes/V1/V2/V3/V4/V5, WS/KEY) Practice TEST 6.4-7.3

7.3B Mega Integration Practice (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)

 

8 Intro: Applications of Integration (Notes)

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'H˘pital'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

 

9 Intro: Vector Calculus (Notes)

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

 

10 Intro: Polar Calculus (Notes)

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

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

 

11 Intro: Sequences & Series (Notes)

11.1 *Sequences & Series: Convergence & Divergence (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)

 

#KorpisLastMinuteListOfThingsToRememberNotToForget

 

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

 

#KorpisLastMinuteListOfThingsToRememberNotToForget

 

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

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Day 25

 

FULL-LENGTH PRACTICE EXAMS

 

AP AB Practice Exam (Princeton Review)

AP AB Practice Exam (College Board)

AP AB Practice Exam A (Peterson)

AP AB Practice Exam B (Peterson)

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 (College Board)

AP BC Practice Exam A (Peterson)

AP BC Practice Exam B (Peterson)

AP BC Practice Exam (Cliff's)

 

       

#KorpisLastMinuteListOfThingsToRememberNotToForget

 

"Stand and Deliver" Quiz

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