From 1835253bc3b03002152e48dc26017b5c67c0ec8c Mon Sep 17 00:00:00 2001 From: "Ernest M." <180271155+ernest-mm@users.noreply.github.com> Date: Thu, 12 Jun 2025 09:32:57 +0200 Subject: [PATCH 1/4] Added Calculus with Theory) --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 688ef3f..42ad387 100644 --- a/README.md +++ b/README.md @@ -115,7 +115,7 @@ Calculus is the study of change (differential calculus) and accumulation of quan Courses | Duration | Effort | Prerequisites :-- | :--: | :--: | :--: -[Calculus 1A: Differentiation](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.1x+2T2019/about) | 13 weeks | 6-10 hours/week | [high school math](FAQ.md#how-can-i-review-the-math-prerequisites) +[Calculus with Theory](https://ocw.mit.edu/courses/18-014-calculus-with-theory-fall-2010/) | 13 weeks | 10-15 hours/week | [Introduction to Mathematical Thinking](README.md#Introduction-to-Mathematical-Thinking) and [high school math](FAQ.md#how-can-i-review-the-math-prerequisites) [Calculus 1B: Integration](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.2x+3T2019/about) | 13 weeks | 5-10 hours/week | Calculus 1A [Calculus 1C: Coordinate Systems & Infinite Series](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.3x+1T2020/about) | 6 weeks | 5-10 hours/week | Calculus 1B [Multivariable Calculus](https://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/) | 12 weeks | 6 hours/week | Calculus 1C From 99485f4d534545cb6d21df750b62476c08279e31 Mon Sep 17 00:00:00 2001 From: "Ernest M." <180271155+ernest-mm@users.noreply.github.com> Date: Thu, 12 Jun 2025 09:37:38 +0200 Subject: [PATCH 2/4] Added Multivariable Calculus with Theory --- README.md | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/README.md b/README.md index 42ad387..0ee9525 100644 --- a/README.md +++ b/README.md @@ -116,9 +116,7 @@ Calculus is the study of change (differential calculus) and accumulation of quan Courses | Duration | Effort | Prerequisites :-- | :--: | :--: | :--: [Calculus with Theory](https://ocw.mit.edu/courses/18-014-calculus-with-theory-fall-2010/) | 13 weeks | 10-15 hours/week | [Introduction to Mathematical Thinking](README.md#Introduction-to-Mathematical-Thinking) and [high school math](FAQ.md#how-can-i-review-the-math-prerequisites) -[Calculus 1B: Integration](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.2x+3T2019/about) | 13 weeks | 5-10 hours/week | Calculus 1A -[Calculus 1C: Coordinate Systems & Infinite Series](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.3x+1T2020/about) | 6 weeks | 5-10 hours/week | Calculus 1B -[Multivariable Calculus](https://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/) | 12 weeks | 6 hours/week | Calculus 1C +[Multivariable Calculus with Theory](https://ocw.mit.edu/courses/18-024-multivariable-calculus-with-theory-spring-2011/) | 13 weeks | 10-15 hours/week | Calculus with Theory ### Introduction to Differential Equations Differential equations describe the science of change: the route by which natural and man-made systems move from one state to another. Epidemics, population growth, and weather patterns are all modeled using differential equations. It provides us a mathematical language to describe physical, chemical, and biological systems and their evolution. From 940d647e6a777e6ddb883226998391a5404eb0d7 Mon Sep 17 00:00:00 2001 From: "Ernest M." <180271155+ernest-mm@users.noreply.github.com> Date: Thu, 12 Jun 2025 09:43:45 +0200 Subject: [PATCH 3/4] Replaced Differential Equations --- README.md | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index 0ee9525..1f0e00b 100644 --- a/README.md +++ b/README.md @@ -124,12 +124,14 @@ Differential equations describe the science of change: the route by which natura **Topics covered:** `First-order ODEs` `Second-order ODEs` -`Higher-order ODEs` -`Laplace Transforms` +`Fourier Series` +`The Laplace Transform` +`Linear Systems of ODE’s` +`Nonlinear Systems of ODE’s` Courses | Duration | Effort | Prerequisites :-- | :--: | :--: | :--: -[Differential Equations](https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/) | 14 weeks | 12 hours/week | Calculus 1C +[Honors Differential Equations](https://ocw.mit.edu/courses/18-034-honors-differential-equations-spring-2004/) | 13 weeks | 10-15 hours/week | Calculus with Theory ### Discrete Mathematics Discrete mathematics is the mathematics of objects and ideas. It includes topics such as combinatorics, graph theory, and logic. The topics discussed here also form the basis of the field of computer science. For mathematics majors, a discrete math course is usually also a first introduction to formal proofs. From daf52307fc9f8f0b1b181a9f45231f58fa5e2a00 Mon Sep 17 00:00:00 2001 From: "Ernest M." <180271155+ernest-mm@users.noreply.github.com> Date: Thu, 12 Jun 2025 09:56:27 +0200 Subject: [PATCH 4/4] Added the MIT's Calculus 1 A, B and C courses to the math prerequisites --- FAQ.md | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/FAQ.md b/FAQ.md index 4dc3229..cc5d7a8 100644 --- a/FAQ.md +++ b/FAQ.md @@ -20,7 +20,7 @@ Alternatively, you could [contribute](#CONTRIBUTING.md) an answer yourself. ### How can I review the math prerequisites? Many OSSU students choose to review math topics that they have not studied recently. -OSSU recommends students use Khan Academy for such a review. +OSSU recommends students use Khan Academy for such a review (and MIT Open Learning Library for the Calculus part). Below are links to topic assessments. After taking an assessment, you should have a clear idea what topics to study, and resources on Khan Academy to use. @@ -30,8 +30,11 @@ After taking an assessment, you should have a clear idea what topics to study, a - [High School Math 1](https://www.khanacademy.org/math/math1#math1-subject-challenge) - [High School Math 2](https://www.khanacademy.org/math/math2#math2-subject-challenge) - [High School Math 3](https://www.khanacademy.org/math/math3#math3-subject-challenge) +- [MIT's Calculus 1A: Differentiation](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.1x+2T2019/about) +- [MIT's Calculus 1B: Integration](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.2x+3T2019/about) +- [MIT's Calculus 1C: Coordinate Systems & Infinite Series](https://openlearninglibrary.mit.edu/courses/course-v1:MITx+18.01.3x+1T2020/about) -(Math 1, 2, 3 covers all of algebra, pre-calculus, high school geometry, trig, stats. It interleaves the order of these topics.) +(High School Math 1, 2, 3 covers all of algebra, pre-calculus, high school geometry, trig, stats. It interleaves the order of these topics.) ### In what order should I take the courses?