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

Open House Info: AB & BC

First Day Handouts

Note to Parents with MONDAY MAIL signup

AP Calculus Syllabus: AB, BC

AP Calculus Survival Guide

Appendix: Precalculus stuff to know cold  (Notes)

Appendix: Parent Function Catalog  (Notes)

Appendix: The Unit Circle  (Notes)

1 Intro: What is Calculus?   (Notes)

1.1  What is AP Calculus? (Notes)

2 Intro: Calculus prerequisites  (Notes)

2.1  Parent Functions  (Notes, Notes T, Worksheet)

2.2  Simplifying Expressions  (Notes, Worksheet)

2.3  Equations of Lines  (Notes, Worksheet)

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

2.5  Fun with Functions  (Notes, Worksheet)

2.6  Trigonometry  (Notes, Worksheet)

3 Intro: Limits (Notes)

3.1  Intro to Limits (Notes, Notes T, Worksheet)

3.2  More Limits (Notes, Notes T, Worksheet)

3.3  Limits and Infinity (Notes, Notes T, Worksheet) Practice TEST 3.1-3.3

3.4  Algebraic Limits (Notes, Notes T, Worksheet)

3.5  Continuity on Intervals (Notes, Notes T, Worksheet) Practice TEST 3.1-3.5

4 Intro: Differentiation (Notes)

4.1  Tangent Line Problem & Differentiability (Notes, Notes T, Worksheet) Practice TEST 3.4-4.1

4.2  Derivatives on the Calculator (Notes)

4.3  Basic Differentiation Rules (Notes, Worksheet)

4.4  Product & Quotient Rules (Notes, Worksheet)

4.5  Rates of Change and Particle Motion I (Notes, Worksheet)  Practice TEST 4.1-4.5

4.6  The Chain Rule (Notes, Worksheet)

4.7  Implicit Differentiation (Notes, Worksheet) Practice TEST 4.1-4.7

4.8  Derivatives of Inverse & Inverse Trig Functions (Notes, Worksheet)

4.9  Derivatives of Exponential Functions (Notes, Worksheet)

4.10 Derivatives of Log Functions & LOG DIFF (Notes, Worksheet) Practice TEST 4.1-4.10

5 Intro: Applications of Differentiation (Notes)

5.1  Extrema on an interval (Notes, Worksheet) Practice TEST 4.1-5.1

5.2  Rolle's Theorem and the MVT (Notes, Worksheet)

5.3  Increasing, Decreasing, and 1st Derivative Test (Notes, Worksheet)

5.4  Concavity and the Second Derivative Test (Notes, Worksheet)  Practice TEST 5.1-5.4

5.5  Curve Sketching (Notes, Worksheet)  Summary Sheet

5.6  Optimization (Notes, Worksheet) Worksheet Solutions                      

5.7  Linearization and Differentials (Notes, Worksheet)

5.8  Related Rates (Notes, Worksheet)  Practice TEST 5.1-5.8

AB Fall Final Review HERE

6 Intro: Integration (Notes)

6.1  Antiderivatives and Indefinite Integration (Notes, Worksheet)

6.2  Definite Integrals & Area with Riemann Sums & Trapezoidal Rule (Notes, Worksheet)

6.3  The FTOC I & II, the MVT II, & Avg Value (Notes, Worksheet)  Practice TEST 6.1-6.3

6.4  Integration by u-Substitution and Pattern Recognition (Notes, Worksheet)

BC Fall Final Review HERE

7 Intro: Differential Equations & Modeling (Notes)

7.1  Slope Fields (Notes, Worksheet)

7.2  *Euler's Method (Notes, Worksheet)

7.3  Separable Differential Equations (Notes, Worksheet) (Mega Integration Practice!) Practice TEST 6.4-7.3

7.4  *Integration by Parts (Notes, Worksheet)

7.5  *Partial Fractions & Logistic Growth (Notes, Worksheet)

8 Intro: Applications of Integration (Notes)

8.1  Integral as Net Change (Notes, Worksheet)

8.2  Area between Curves (Notes, Worksheet)

8.3  Volumes (Notes, Worksheet)

8.4  *Arc Length (Notes, Worksheet)

8.5  *L'Hôpital's Rule and Indeterminate Forms (Notes, Worksheet)

8.6  *Improper Integrals (Notes, Worksheet)  Practice TEST 8.1-8.6

9 Intro: Vector Calculus (Notes)

9.1  *Intro to Parametric & Vector Calculus (Notes, Worksheet)

9.2  *Parametric & Vector Accumulation (Notes, Worksheet) Worksheet II--review

10 Intro: Polar Calculus (Notes)

10.1 *Polar Intro & Derivatives (Notes, Worksheet)

10.2 *Polar Area (Notes, Worksheet)

11 Intro: Sequences & Series (Notes)

11.1 *Sequences & Series: Convergence & Divergence (Notes, Worksheet)

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

11.2 *Taylor Polynomials (Notes, Worksheet)

11.3 *Power Series I: Taylor & Maclaurin Series (Notes, Worksheet)

11.4 *Power Series II: Geometric Series (Notes, Worksheet)

11.5 *Lagrange Error Bound (Notes, Worksheet)

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