Test May 4, 2021 If you are remote, we are following the calendar. Notes should be completed the day before calendar date. Hw should be completed the day. Ap calculus ab Calculators I recommend: TI 84 Plus Silver Edition,TI 84 Plus Silver Edition Color, TI 89. (Note: The TI 89 and TI nspire-CAS are not approved for the IB or ACT Test). Welcome to AP Calculus 'Only by identifying our limits, may we go beyond' Albert Einstein. Toggle Sub Navigation. AP Calculus HomePage Pages. Calculus Video Lessons.This course covers all of the topics required for the AP Calculus AB exam.
Ap Calculus Homework Problems
- Chapter 1: Introduction
The problems that Calculus solves, introduction to derivatives, finding rates of change from graphs, from equations, and from data, Numerical derivatives, Introduction to Integrals, Approximating integrals from graphs, from equations and from data, the Trapezoid Rule
- Chapter 2: Limits
A graphical approach to limits, Describing function behavior with limits, Asymptotes, Rational Functions, Polynomial end behavior, The Limit Theorems, Evaluating limits, Continuity, The Intermediate Value Theorem
- Chapter 3: Derivatives
A graphical look at derivatives, Difference Quotients, the Derived Function, Notation, Numerical calculations of derivatives, Tangents and Linear Approximation, Differentiability and Continuity, the Chain Rule, the Product Rule, the Quotient Rule, Leibniz' Proofs, Derivatives of Trig Functions, Implicit Differentation, Derivatives of Inverse Functions, Derivatives of Inverse Trig Functions
- Chapter 4: Applications of Derivatives
The Extreme Value Theorem, Rolle's Theorem and the Mean Value Theorem, First and Second Derivatives, Concavity and Inflection Points, Graphs and Curve Sketching, The Calculus of Motion, Max-Min problems, Related Rates, Practice
- Chapter 5: Integrals
Antiderivatives, Integrals, Infinitesimals, Riemann Sums, Definite Integrals, The Fundamental Theorem of Calculus, Properties of Definite Integrals, Numerical Methods, Integration by Substitution, Average Value
- Chapter 6: Exponential Functions and Differential Equations
Derivatives of exponential functions, Derivatives of logarithmic functions, Derivatives and integrals of base b exponents, Integrals with variable limits, Logarithmic Differentiation, Integrals of trig functions, Intro to Differential Equations, Examples and applications, Slope Fields, Euler's Identity
- Chapter 7: Applications of Integrals
The area of a plane region, The Calculus of Motion, Real world applications, Integrating to find volumes, Plane Slicing, Solids of Revolution, Cylindrical Shells
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Ap Calculus Sequences Homework
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Course Description- Everything you want to know about AP Calculus.
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Everyone who is in this class should expect to take the
Summer Homework Assignment - Solutions
Summer Homework Assignment Practice - Solutions
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