# CK-12 Texas Instruments Calculus Teacher's Edition

**At Grade**Created by: CK-12

- 1.
## Introduction to Calculus

A brief overview of the following lessons.

- 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.