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Make Calculus Required 

closes #841
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@ -99,6 +99,7 @@ just remember that you can't purchase success!
- [Advanced programming](#advanced-programming)
- [Advanced systems](#advanced-systems)
- [Advanced theory](#advanced-theory)
- [Advanced math](#advanced-math)
- [Advanced applications](#advanced-applications)
- [Final project](#final-project)
@ -168,33 +169,6 @@ Courses | Duration | Effort | Prerequisites | Discussion
[Programming Languages, Part B](https://www.coursera.org/learn/programming-languages-part-b) | 3 weeks | 4-8 hours/week | Programming Languages, Part A | [chat](https://discord.gg/EeA7VR9)
[Programming Languages, Part C](https://www.coursera.org/learn/programming-languages-part-c) | 3 weeks | 4-8 hours/week | Programming Languages, Part B | [chat](https://discord.gg/8EZUVbA)
### Math Electives
**Students must choose one of the following topics**: calculus, linear algebra, logic, or probability.
#### Calculus
Courses | Duration | Effort | Prerequisites | Discussion
:-- | :--: | :--: | :--: | :--:
[Calculus 1A: Differentiation](https://www.edx.org/course/calculus-1a-differentiation) | 13 weeks | 6-10 hours/week | [high school math](FAQ.md#how-can-i-review-the-math-prerequisites) | [chat](https://discord.gg/mPCt45F)
[Calculus 1B: Integration](https://www.edx.org/course/calculus-1b-integration) | 13 weeks | 5-10 hours/week | Calculus 1A | [chat](https://discord.gg/sddAsZg)
[Calculus 1C: Coordinate Systems & Infinite Series](https://www.edx.org/course/calculus-1c-coordinate-systems-infinite-series) | 6 weeks | 5-10 hours/week | Calculus 1B | [chat](https://discord.gg/FNEcNNq)
#### Linear Algebra
Courses | Duration | Effort | Prerequisites | Discussion
:-- | :--: | :--: | :--: | :--:
[Essence of Linear Algebra](https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab) | - | - | [high school math](FAQ.md#how-can-i-review-the-math-prerequisites) | [chat](https://discord.gg/m6wHbP6)
[Linear Algebra](https://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/) | 14 weeks | 12 hours/week | Essence of Linear Algebra | [chat](https://discord.gg/k7nSWJH)
#### Logic
Courses | Duration | Effort | Prerequisites | Discussion
:-- | :--: | :--: | :--: | :--:
[Introduction to Logic](https://www.coursera.org/learn/logic-introduction) | 10 weeks | 4-8 hours/week | [set theory](https://www.youtube.com/playlist?list=PL5KkMZvBpo5AH_5GpxMiryJT6Dkj32H6N) | [chat](https://discord.gg/MbM2Gg5)
#### Probability
Courses | Duration | Effort | Prerequisites | Discussion
:-- | :--: | :--: | :--: | :--:
[Probability](https://projects.iq.harvard.edu/stat110/home) | 24 weeks | 12 hours/week | [Differentiation and Integration](https://www.edx.org/course/calculus-1b-integration) | [chat](https://discord.gg/UVjs9BU)
### Core Math
In addition to their math elective, students must complete the following course on discrete mathematics.
@ -208,6 +182,9 @@ In addition to their math elective, students must complete the following course
Courses | Duration | Effort | Notes | Prerequisites | Discussion
:-- | :--: | :--: | :--: | :--: | :--:
[Calculus 1A: Differentiation](https://www.edx.org/course/calculus-1a-differentiation) | 13 weeks | 6-10 hours/week | [high school math](FAQ.md#how-can-i-review-the-math-prerequisites) | [chat](https://discord.gg/mPCt45F)
[Calculus 1B: Integration](https://www.edx.org/course/calculus-1b-integration) | 13 weeks | 5-10 hours/week | Calculus 1A | [chat](https://discord.gg/sddAsZg)
[Calculus 1C: Coordinate Systems & Infinite Series](https://www.edx.org/course/calculus-1c-coordinate-systems-infinite-series) | 6 weeks | 5-10 hours/week | Calculus 1B | [chat](https://discord.gg/FNEcNNq)
[Mathematics for Computer Science](https://openlearninglibrary.mit.edu/courses/course-v1:OCW+6.042J+2T2019/about) ([alt](https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-spring-2015/index.htm)) | 13 weeks | 5 hours/week | An alternate version with solutions to the problem sets is [here](https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-fall-2005/assignments/). Students struggling can consider the [Discrete Mathematics Specialization](https://www.coursera.org/specializations/discrete-mathematics) first. It is more interactive but less comprehensive, and costs money to unlock full interactivity. | Calculus 1C | [chat](https://discord.gg/EuTzNbF)
@ -404,6 +381,14 @@ Courses | Duration | Effort | Prerequisites
[Computational Geometry](https://www.edx.org/course/computational-geometry-tsinghuax-70240183x) | 16 weeks | 8 hours/week | algorithms, C++
[Game Theory](https://www.coursera.org/learn/game-theory-1) | 8 weeks | 3 hours/week | mathematical thinking, probability, calculus
### Advanced math
Courses | Duration | Effort | Prerequisites | Discussion
:-- | :--: | :--: | :--: | :--:
[Essence of Linear Algebra](https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab) | - | - | [high school math](FAQ.md#how-can-i-review-the-math-prerequisites) | [chat](https://discord.gg/m6wHbP6)
[Linear Algebra](https://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/) | 14 weeks | 12 hours/week | Essence of Linear Algebra | [chat](https://discord.gg/k7nSWJH)
[Introduction to Logic](https://www.coursera.org/learn/logic-introduction) | 10 weeks | 4-8 hours/week | [set theory](https://www.youtube.com/playlist?list=PL5KkMZvBpo5AH_5GpxMiryJT6Dkj32H6N) | [chat](https://discord.gg/MbM2Gg5)
[Probability](https://projects.iq.harvard.edu/stat110/home) | 24 weeks | 12 hours/week | [Differentiation and Integration](https://www.edx.org/course/calculus-1b-integration) | [chat](https://discord.gg/UVjs9BU)
### Advanced applications
These Coursera Specializations all end with a Capstone project.