## Calculus 12

Learn how using StudyForge sustained AP exam scores 41% better than the average classroom over 5 years.

GET THE FREE WHITEPAPER

## Table of Contents

*Each lesson is designed to take 60 – 90 minutes to complete with the exception of major projects and assignments.

Lesson 1: Introduction to Calculus

Lesson 2: Review of Function Terminology And More

Lesson 3: Graphing Calculators

Lesson 4: Compositions and Transformations of Functions

Lesson 5: Some Common Functions

Lesson 6: Inverse Functions

Lesson 7: Exponential and Logarithmic Functions

Lesson 2: Review of Function Terminology And More

Lesson 3: Graphing Calculators

Lesson 4: Compositions and Transformations of Functions

Lesson 5: Some Common Functions

Lesson 6: Inverse Functions

Lesson 7: Exponential and Logarithmic Functions

Lesson 1: Introduction to Limits

Lesson 2: Properties of Limits

Lesson 3: Limits Involving Infinity

Lesson 4: Continuity and The Sandwich Theorem

Lesson 5: Applications of Limits

Lesson 2: Properties of Limits

Lesson 3: Limits Involving Infinity

Lesson 4: Continuity and The Sandwich Theorem

Lesson 5: Applications of Limits

Lesson 1: The Derivative

Lesson 2: Rules of Differentiation

Lesson 3: Trigonometric Derivatives and The Chain Rule

Lesson 4: Derivatives of Exponential, Logarithmic, and Inverse Trig Functions

Lesson 5: Implicit Differentiation

Lesson 2: Rules of Differentiation

Lesson 3: Trigonometric Derivatives and The Chain Rule

Lesson 4: Derivatives of Exponential, Logarithmic, and Inverse Trig Functions

Lesson 5: Implicit Differentiation

Lesson 1: Analyzing Functions Part I: Curve Sketching

Lesson 2: Analyzing Functions Part II: Maximums and Minimums

Lesson 3: Applied Maximum and Minimum Problems

Lesson 4: Distance, Velocity, Acceleration, and Rectilinear Motion

Lesson 5: Related Rates

Lesson 6: The Mean-Value Theorem and L’Hopital’s Rule

Lesson 2: Analyzing Functions Part II: Maximums and Minimums

Lesson 3: Applied Maximum and Minimum Problems

Lesson 4: Distance, Velocity, Acceleration, and Rectilinear Motion

Lesson 5: Related Rates

Lesson 6: The Mean-Value Theorem and L’Hopital’s Rule

Lesson 1: Area Approximation and Riemann Sums

Lesson 2: Introduction to the Definite Integral

Lesson 3: The Fundamental Theorem of Calculus

Lesson 4: Integrals and Antiderivatives

Lesson 5: Integration by Substitution

Lesson 6: Integration by Parts

Lesson 7: The Definite Integral

Lesson 2: Introduction to the Definite Integral

Lesson 3: The Fundamental Theorem of Calculus

Lesson 4: Integrals and Antiderivatives

Lesson 5: Integration by Substitution

Lesson 6: Integration by Parts

Lesson 7: The Definite Integral

Lesson 1: Finding The Area Under and Between Curves

Lesson 2: Volume by Discs (Slicing)

Lesson 3: Volume by Shells

Lesson 4: Work

Lesson 5: Average Value of a Function and Rectilinear Motion Revisited

Lesson 2: Volume by Discs (Slicing)

Lesson 3: Volume by Shells

Lesson 4: Work

Lesson 5: Average Value of a Function and Rectilinear Motion Revisited

Lesson 1: Differential Equations – An Introduction

Lesson 2: Initial Value Problems, Slope Fields, and Euler’s Method

Lesson 3: Linearization and Newtonās Method

Lesson 4: Numerical Approximation Methods with Integrals

Lesson 2: Initial Value Problems, Slope Fields, and Euler’s Method

Lesson 3: Linearization and Newtonās Method

Lesson 4: Numerical Approximation Methods with Integrals

## Experience a lesson as your students would

## Donāt Take Our Word for It!

## See What Others Have to Say:

I have been using the Study Forge math videos for a year now as part of my blended classroom. The benefits were immediate as I was able to free up the time spent with my students to better track their progress and construct personalized learning goals. My students love the ease of use of the system and most of all, the increase in their test scores! I can’t ever imagine going back to a traditional classroom!

## SCOTT

## Blended Ed Teacher

“The course was great! The videos used to teach much of the course material were engaging and easy to follow, and I found that they helped me to learn faster and more effectively than the usual textbook-based approach. Also, the applets included in many of the lessons provided a hands-on way for me to visualize and interact with the concepts being taught, which greatly increased my understanding of those concepts.”

## VIHAAN

## Calculus Student

I have to say this course was the best online course I have taken! The StudyForge program was beyond amazing.

## Kim

## Calculus Student

I just want to thank you for teaching me this year. It’s been great and I have learned a lot. Feedback of the final exam: very straightforward and very fair as you saidā¦ It is a good exam.

## Jerry

## Calculus Student

## Course Features

- Many lessons include fun, interactive applets and dynamic graphs which help foster a conceptual and even intuitive understanding of fundamental topics.
- Digital DESMOS Graphing Calculator within the course

Previous image

Next image

Previous image

Next image