- 1. TE Introduction to Calculus - TI
A brief overview of the following lessons.
- 2. TE Functions, Limits, and Continuity - TI
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. TE Differentiation - TI
This chapter students investigate the sinusoidal function, map a pendulum’s acceleration and velocity using a cosine function, and explore the Chain Rule.
- 4. TE Applications of Derivatives - TI
This chapter explores relative maximums and minimums, the second derivative test, and optimization.
- 5. TE Integration - TI
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. TE 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. TE Transcendental Functions - TI
This chapter allows students to find the inverse of a function through various methods. Also covered are logarithmic derivatives.
- 8. TE Integration Techniques - TI
This chapter covers the methods of integration by substitution and by parts. Finally, students will use the deSolve command to solve differential equations.
- 9. TE Infinite Series - TI
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.