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CK-12 Texas Instruments Calculus Student Edition

Difficulty Level: At Grade Created by: CK-12

• 1.

Introduction

A brief overview of the following chapters.

• 2.

Functions, Limits, and Continuity

This chapter informs students about basic graphing techniques, allowing them to better understand the beginning principles of Calculus, including compound interest, the Fundamental Theorem of Calculus and limits.

• 3.

Differentiation

This chapter students investigate the sinusoidal function, map a pendulum’s acceleration and velocity using a cosine function, and explore the Chain Rule.

• 4.

Applications of Derivatives

This chapter explores relative maximums and minimums, the second derivative test, and optimization.

• 5.

Integration

This chapter covers Riemann sums and definitive integration in order to find or approximate the area under a curve. Students are also led to discover the Fundamental Theorem of Calculus.

• 6.

Applications of Integration

This chapter introduces students to the Solve and Integral commands in order to find areas as well as finding cross plane volumes and arc lengths.

• 7.

Transcendental Functions

This chapter allows students to find the inverse of a function through various methods. Also covered are logarithmic derivatives.

• 8.

Integration Techniques

This chapter covers the methods of integration by substitution and by parts. Finally, students will use the deSolve command to solve differential equations.

• 9.

Infinite Series

This chapter completes the course by exploring series and infinite series, with emphasis on the Taylor polynomial. Also covered is a brief review of the course material in preparation for the AP Calculus exam.

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