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CALCULUS MAXIMUS

BC Calculus SCHOLARS, 5-13-24!!

 

LESSON VIDEOS  &  OLD TESTS

 

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

 

Course Info:

1st Day Handout: Parent/Student Letter

1st Day Homework: Academic Integrity, Parent Survey, Student Survey

 

AP Calculus Syllabus: AB, BC

Open House Info: AB & BC, Bingo, & Schedule

AP Calculus Survival Guide

 

Getting Ready:

Appendix: Precalculus stuff to know cold  (Notes)

Appendix: Parent Function Catalog  (Notes)

Appendix: The Unit Circle  (Notes)

Spleen: 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/KEY)

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, WS/KEY)

1.2  Properties of Limits (Notes, WS/KEY)

1.3  Limits at Infinity (Notes, WS/KEY)

1.4  Algebraic Limits (Notes, WS/KEY)

       1.4 Xtra Practice (WS/KEY)

1.5  Continuity on Intervals & IVT (Notes, WS/KEY)

      

Chapter 2: Differentiation

2.1  Tangent Line & Differentiability (Notes, WS/KEY)

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

2.3  Basic Differentiation Rules (Notes, WS/KEY)

2.4  Product & Quotient Rules (Notes, WS/KEY)

2.5  Rates of Change and Particle Motion I (Notes, WS/KEY

2.6  The Chain Rule (Notes/, WS/KEY)

2.7  Implicit Differentiation (Notes, WS/KEY)

2.8  Derivatives of Inverse & Inverse Trig Functions (Notes, WS/KEY)

2.9  Derivatives of Exponential Functions (Notes, WS/KEY)

2.10 Derivatives of Log Functions & LOG DIFF (Notes, WS/KEY)

      

Chapter 3: Applications of Differentiation

3.1   Extrema on an interval (Notes, WS/KEY)

3.2   Rolle's Theorem and the MVT (Notes, WS/KEY)

3.3   Increasing, Decreasing, and 1st Derivative Test (Notes, WS/KEY)

3.4   Concavity and the Second Derivative Test (Notes, WS/KEY

3.5   ff ', and f '' (Notes, WS/KEY

3.5B Summary Sheet (Notes)

3.6   Optimization (Notes, WS/KEY)                    

3.7   Linearization and Differentials (Notes, WS/KEY)

3.8   Related Rates (Notes, WS/KEY

 

Chatper 4: Integration

4.1  Antiderivatives and Indefinite Integration (Notes, WS/KEY)

4.1B Basic Differentiation Practice (WS/KEY)

4.1C Mixed AP MC Review (WS)

4.2  Numeric Definite Integrals (Notes, WS/KEY)

4.3  The FTOC I & II and MVT II (Notes, WS/KEY)

4.4  Integration by u-Substitution (Notes, WS/KEY)

 

Chapter 5: Differential Equations & Modeling

5.1  Separable Differential Equations (Notes, WS/KEY)

5.2  Slope Fields (Notes, WS/KEY)

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

5.3  *Euler's Method (Notes, WS/KEY)

5.4  *Integration by Parts (Notes, WS/KEY)

5.5  *Partial Fractions & Logistic Growth (Notes, WS/KEY)

 

Chapter 6: Applications of Integration

6.1  Integral as Net Change (Notes, WS/KEY)

6.2  Area between Curves (Notes, WS/KEY)

6.3  Volumes (Notes, WS/KEY)

6.4  *Arc Length (Notes, WS/KEY)

6.5  L'Hôpital's Rule and Indeterminate Forms (Notes, WS/KEY)

6.6  *Improper Integrals (Notes, WS/KEY

 

Chatper 7: Vector Calculus

7.1  *Intro to Parametric & Vector Calculus (Notes, WS/KEY)

7.2  *Parametric & Vector Accumulation (Notes, WS/KEY) Worksheet II/KEY

 

Chapter 8: Polar Calculus

8.1 *Polar Intro & Derivatives (Notes, WS/KEY)

8.2 *Polar Area (Notes, WS/KEY)

 

Chapter 9: Sequences & Series

9.1 *Infinite Sequences & Series (Notes, WS/KEY)

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

9.2 *Taylor Polynomials (Notes, WS/KEY)

9.3 *Power Series I: Taylor & Maclaurin Series (Notes, WS/KEY)

9.4 *Power Series II: Geometric Series (Notes, WS/KEY)

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

 

Chapter 10: After the AP Exam

10.1 Trig Substitution Integration (Notes/KEY, WS/KEY)

10.2 Partial Fraction Decomposition (Notes/KEY, WS/KEY)

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

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

10.5 Surface Area (Notes/KEY, WS/KEY)

10.6 Hyperbolic Trig Functions (Notes/KEY, WS/KEY)

 

 

FOLLOW ME ON

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 by Jada Webb, class of 2017

 

    

 

   

 

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

 

 

 

#LastMinuteThingstonottoforgettoremember  KEY

 

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

 

#LastMinuteThingstonottoforgettoremember  KEY

 

 

AB

 

Calculus Cheat Sheet (by Paul)

AB 01, KEY

AB 02, KEY

AB 03, KEY

AB 04, KEY

AB 05, KEY

AB 06, KEY

AB 07, KEY

AB 08, KEY

AB 09, KEY

AB 10, KEY

AB 11, KEY

AB 12, KEY

AB 13, KEY

AB 14, KEY

 

 

Day 01, video

Day 02, video

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, KEY

 

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, KEY

BC 02, KEY

BC 03, KEY

BC 04, KEY

BC 05, KEY

BC 06, KEY

BC 07, KEY

BC 08, KEY

BC 09, KEY

BC 10, KEY

BC 11, KEY

 

 

 

 

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, KEY

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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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