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| Chapter P: Preparation for Calculus |  |
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| P.1 P.2 C.3 P.3 P.4 P.5 |
Graphs and Models Linear Models and Rates of Changes Review of Trigonometric Functions Functions and Their Graphs Inverse Functions Exponential and Logarithmic Functions |
8/26 8/27 8/28 8/29 8/30-9/3 9/4 |
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| Chapter 1: Limits and Their Properties |  |
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| 1.1 1.2 1.3 1.4 1.5 1.6 |
A Preview of Calculus Finding Limits Graphically and Numerically Evaluating Limits Analytically Continuity and One-Sided Limits Infinte Limits Limits at Infinity |
9/9 9/10 9/11-12 9/16 9/17-18 9/19 |
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| Chapter 2: Differentiation |  |
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| 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 |
The Derivative and the Tangent Line Problem Basic Differentiation Rules and Rates of Change Product and Quotient Rules and Higher-Order Derivatives The Chain Rule Implicit Differentiation Derivatives of Inverse Functions Related Rates Newton's Method |
9/25 9/26-27 9/30-10/1 10/4 10/7-8 10/9 10/10-11 10/14 |
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| Chapter 3: Applications of Differentiation |  |
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| 3.1 3.2 3.3 3.4 3.5 3.6 3.7 |
Extrema on an Interval Rolle's Theorem and the Mean Value Theorem Increasing & Decreasing Functions & The First Derivative Test Concavity and the Second Derivative Test A Summary of Curve Sketching Optimization Problems Differentials |
10/21-22 10/23 10/24-25 10/28-29 10/30-10/31 11/6 11/7-8 |
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| Chapter 4: Integration |  |
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| 4.1 4.2 4.3 4.4 4.5 4.6 4.7 |
Antiderivatives and Indefinite Integration Area Riemann Sums and Definite Integrals The Fundamental Theorem of Calculus Integration by Substitution The Natural Logarithmic Function: Integration Inverse Trigonometric Functions: Intgration |
11/15-11/18 11/19-21 11/22-12/2 12/3-5 12/6-9 12/10 12/11 |
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| Mid-Year Review | |||
| Semester Exam Review Mid-Year Review |
1/6 1/7-1/17 |
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| Chapter 5: Differential Equations |  |
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| 5.1 5.2 5.3 |
Slope Fields and Euler's Method Growth and Decay Separation of Variables |
1/20-21 1/22-23 1/24-27 |
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| Chapter 6: Applications of Integration |  |
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| 6.1 6.2 - - |
Area of a Region Between Two Curves Volume: The Disk and Washer Methods Position, Velocity, and Acceleration Net Accumulation |
1/31-2/3 2/4-6 2/10 2/11 |
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| Chapter 7: Integration Techniques |  |
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| 7.1 7.7 |
Basic Integration Rules Indeterminate Forms and L'Hopital's Rule |
2/13-14,24 2/25-26 |
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| End-of-Year AP Exam Preparation |  |
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| WK1 WK2 WK3 WK4 WK5 WK6 WK7 WK8 |
Area/Volume/Diffeential Equations FRQ's and MCQ's AP Exam I AP Exam II AP Exam III AP Exam IV AP Exam V Final Exam Differential Equations / Derivatives MCQ's / AP Tests FRQ's |
3/2-6 3/9-13 3/16-3/20 3/23-27 3/30-4/3 4/6-9 4/20-24 4/27-5/4 |
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| The Ars Mathematica AP ® Calculus AB course is approved by the College Board as an authorized AP ® course. It is a complete two-semester course for homeschoolers. The class textbook and syllabus provide high school students an opportunity to participate in a rigorous and academically challenging college level course. |
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