Integration is a fundamental concept in the field of calculus. Calculus has many applications in science and engineering. Image courtesy of widdowquinn on flickr.

In this section we have provided a collection of mathematics courses and resources from across MIT. Some are materials that were used to teach MIT undergraduates, while others were designed specifically for high school students.

Calculus is the introductory math course at MIT. Freshmen arriving for their first year are expected to have already taken calculus. Highlights for High School offers many calculus resources, listed below, as well as some additional math courses appropriate for high school students.

Learn more about the MIT Mathematics Department.

We have selected relevant material from MIT's introductory courses to support students as they study and educators as they teach the Advanced Placement Calculus curriculum. This section is organized by the topics that you’ll see on the AP* Calculus Exam.

** AP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.*

The following courses and resources have been selected to help you explore mathematics at MIT.

The first two courses listed below, Single Variable Calculus (18.01SC) and Multivariable Calculus (18.02SC) are in our *OCW Scholar* format. OCW Scholar courses are designed for study at your own pace. They contain substantially more material than typical OCW courses, blending new content with exiting material used in MIT classes.

Learn more about OCW Scholar.

Calculus Resources

» Single Variable Calculus (18.01SC) A version of Single Variable Calculus designed especially for self learners. | Prof. David Jerison |

» Multivariable Calculus (18.02SC) A version of Multivariable Calculus designed especially for self learners. | Prof. Denis Auroux |

» Highlights of Calculus A series of short videos that introduce the basics of calculus—how it works and why it is important. | Prof. Gilbert Strang |

» Calculus Revisited: Single Variable Calculus A series of videos and related resources that cover the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970. | Prof. Herbert Gross |

» Calculus Online Textbook | Prof. Gilbert Strang |

» Street-Fighting Mathematics (18.098) | Dr. Sanjoy Mahajan |

» Problem Solving Seminar (18.S34) | Prof. Hartley Rogers, Prof. Kiran Kedlaya, Prof. Richard Stanley |

» Introduction to MATLAB | Yossi Farjoun |

» The Mathematics of Toys and Games (SP.268) | Jing Li, Prof. Erik Demaine, Melissa Gymrek |

These courses were offered through the High School Studies Program (HSSP), a project of the MIT Educational Studies Program. HSSP offers non-credit enrichment courses to 7th-12th grade students on weekends at MIT.

» Combinatorics: The Fine Art of Counting | Andrew Sutherland |

» Probability: Random Isn't So Random | Vina Nguyen |