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AP Calculus AB / BC

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  • Taught by Dr. Ahn

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  • Focuses on maintaining good school grade and prepares students for AP test in May.

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  • When students have tests in school, they have extra class besides once-a-week classes.

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  • They have extra intensive courses during Thanksgiving break, Winter break and Spring break. Training on FRQ is much emphasized.

Picture above: Dr. Ahn is teaching Cerritos High School students (AP Calculus AB). After Covid, he teaches Zoom online one-on-one private. - Image is blurred for privacy.

TEST FORMAT

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  • 2 Parts (Free Response Questions / Multiple Choice)

  • These two parts are given 50% / 50% in scores.

  • FRQ: Part A (2 Questions/ 30 min/ Graphing Calculator)

  • FRQ: Part B (4 Questions/ 60 min/ No Calculator)

  • M/C: Part A (28 Questions/ 55 min/ No Calculator)

  • M/C: Part B (17 Questions/ 50 min/ Graphing Calculator) 

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Limits and Their Properties

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  • Finding Limits Graphically and Numerically

  • Evaluating Limits Analytically

  • Continuity  and One-Sided Limits

  • Infinite Limits

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Differentiation

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  • The Derivatives and Tangent Line Problems

  • Basic Differentiation Rules

  • Rates of Change

  • Product and Quotient Rules

  • Higher Order Derivatives

  • Chain Rule

  • Implicit Differentiation

  • Derivatives of Inverse Functions

  • Related Rates​

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Applications of Differentiation

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  • Extrema on an Interval

  • Rolle's Theorem and Mean Value Theorem

  • Increasing and Decreasing Functions

  • First Derivative Test

  • Concavity and Second Derivative Test

  • Limits at Infinity

  • Optimization Problems

  • Differentials

  • Slope Fields

Integration

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  • Antiderivatives

  • Indefinite Integrals

  • Riemann Sums

  • Definite Integrals

  • Fundamental Theorem of Calculus

  • Integration by Substitution

  • Numerical Integration

  • Integration of Natural Logarithmic Functions

  • Integration of Inverse Trigonometric Functions

  • Hyperbolic Function

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Applications of Integration

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  • Area of a Region Between Two Curves

  • Volume: The Disk Method

  • Volume: The Shell Method

  • Arc Length

  • Surfaces of Revolution

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< AP Calculus BC >

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    Additional Topics included, but not limited to, are:

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  • Newton's Method

  • Euler's Method

  • Differential Equations

  • Parametric Equations

  • Taylor Series / Maclaurin Series

  • Intervals of Convergence

  • Radius of Convergence

  • Convergence Tests

OVERVIEW
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