Path to a free self-taught education in Computer Science!
The OSSU curriculum is a complete education in mathematics using online materials. It's for those who want a proper grounding in concepts fundamental to all math disciplines, and for those who have the discipline, will, and good habits to obtain this education largely on their own, but with support from a worldwide community of fellow learners.
It is designed according to the degree requirements of undergraduate math majors, minus general education (non-math) requirements, as it is assumed most of the people following this curriculum are already educated outside the field of CS. The courses themselves are among the very best in the world, often coming from Harvard, MIT, Stanford, etc., but specifically chosen to meet the following criteria.
Courses must:
- Match our curricular guidelines the 2015 CUPM Guide.
- Be open for enrollment
- Run regularly (ideally in self-paced format, otherwise running multiple times per year)
- Be of high quality in teaching materials and pedagogical practice
When no course meets the above criteria, the coursework is supplemented with a book.
Duration. It is possible to finish the curriculum within about 2 years if you plan carefully and devote roughly 18-22 hours/week to your studies.
Cost. OSSU strives to identify free resources to reach your learning goal. However, some courses may charge money for assignments/tests/projects to be graded.
Decide how much or how little to spend based on your own time and budget; just remember that you can't purchase success!
Process. Students can work through the curriculum alone or in groups, in order or out of order.
- For simplicity, we recommend working through courses in order from top to bottom, as they have already been sorted by their prerequisites.
- Courses in Applications are electives. Choose one subject you want to become an expert in and take all the courses under that heading. You can also create your own custom subject (we recommend getting validation from the community on the subject you choose).
Content policy. If you plan on showing off some of your coursework publicly, you must share only files that you are allowed to. Respect the code of conduct that you sign in the beginning of each course!
Getting help (Details about our FAQ and chatroom)
- We have a Discord server! This should be your first stop to talk with other OSSU students. Why don't you introduce yourself right now? Join the CS channel in OSSU Discord
- You can also interact through GitHub issues. If there is a problem with a course, or a change needs to be made to the curriculum, this is the place to start the conversation. Read more here.
- Subscribe to our newsletter.
- Add Open Source Society University to your Linkedin profile!
- Introduction to Mathematical Thinking
- Single Variable Calculus
- Multivariable Calculus
- Differential Equations
- Linear Algebra
- Book of Proofs (Assessments)
- Real Analysis
- Abstract Algebra (Assignments) (Solutions)
- Topology (Textbook with Assignments) (Solutions)
- Probability
- Statistics
- Applications (TODO)
Most people's views of mathematics are destroyed in school by focusing on memorzation and regurgitation. Mathematics is anything but. This class covers how to think like a mathematician and solve problems.
Topics covered:
Mathematical mindset
Number Theory
| Courses | Duration | Effort | Prerequisites |
|---|---|---|---|
| Introduction to Mathematical Thinking | 10 weeks | 4 hours/week | none |
Calculus is the foundation of our world, explaining the phenomena that underly our technology, our planets, and our hearts.
Topics Covered:
Derivatives
Integrals
Infinity
| Courses | Duration | Effort | Prerequisites |
|---|---|---|---|
| Calculus 1A: Differentiation | 13 weeks | 6-10 hours/week | high school math |
| Calculus 1B: Integration | 13 weeks | 5-10 hours/week | Calculus 1A |
| Calculus 1C: Coordinate Systems & Infinite Series | 6 weeks | 5-10 hours/week | Calculus 1B |
| Multivariable Calculus | 12 weeks | 6 hours/week | Calculus 1C |
| Courses | Duration | Effort | Prerequisites |
|---|---|---|---|
| Essence of Linear Algebra | - | - | high school math |
| Linear Algebra | 14 weeks | 12 hours/week | Essence of Linear Algebra |
| Courses | Duration | Effort | Prerequisites |
|---|---|---|---|
| Introduction to Differential Equations | 14 weeks | 3-6 hours/week | Calculus 1C |
| Differential Equations: 2x2 Systems | 8 weeks | 2-5 hours/week | Introduction to Differential Equations |
| Differential Equations: Linear Algebra and NxN Systems of Differential Equations | 12 weeks | 5-8 hours/week | Differential Equations 2x2 Systems, Linear Algebra |
| Differential Equations: Fourier Series and Partial Differential Equations | 11 weeks | 5-8 hours/week | Differential Equations: Linear Algebra and NxN Systems of Differential Equations |
| Transfer Functions and the Laplace Transform | 10 weeks | 3-6 hours/week | Introduction to Differential Equations |
These courses should include logic, set theory, number theory, and proofs
Classical Geometry, Euclidian and non-Euclidian, introductory topology?
Combinatorics, probability, statistics, game theory, applied stats
Real analysis, numerical analysis, complex analysis, optimization theory
Abstract algebra, category theory, algebraic geometry and topology
After completing the requirements of the curriculum above, you will have completed the equivalent of a full bachelor's degree in Mathematics. Congratulations!
What is next for you? The possibilities are boundless and overlapping:
- Look for a job. Mathematicians go into careers as statisticians, financial analysts, actuaries and more!
- Join a local math club (e.g. via meetup.com).
- Pay attention to emerging ideas in mathematics by subscribing to a math journal or joining a professional math organization.
- Create an account in Trello.
- Copy this (TODO) board to your personal account. See how to copy a board here.
Now that you have a copy of our official board, you just need to pass the cards to the Doing column or Done column as you progress in your study.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.