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.
Creative Problem Solving in School Mathematics is an outstanding resource for introducing problem solving to beginning students in grades 4-8. Creative Problem Solving in School Mathematics is an outstanding resource for introducing problem solving to beginning students in grades 4-8.
- Pass/Fail basis. This course is intended to teach general mathematical problem solving skills, and to prepare students to take the Putnam Examination.
- AoPS online math classes prepare gifted middle school and high school students for the rigors of top-tier colleges and internationally competitive careers.
- Choosing a Course. Our general course recommendations can be found on our Recommendations page.A special note to parents whose students are finishing up Art of Problem Solving's elementary school curriculum, Beast Academy, can be found on this page. If you are new to AoPS, you may have heard from other AoPS students and parents that our classes are very challenging.
* AP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.
Introductory MIT Courses
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.
|» 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|
Additional Mathematics Resources
|» 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||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.
Math Problem Solving School Courses For Beginners
|» Combinatorics: The Fine Art of Counting||Andrew Sutherland|
|» Probability: Random Isn't So Random||Vina Nguyen|