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Align math curriculum with CS2013

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See: https://github.com/ossu/computer-science/issues/637
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@ -190,32 +190,43 @@ Courses | Duration | Effort | Prerequisites
- **Note**: probably the best resource to learn Haskell: [Haskell Programming from First Principles](http://haskellbook.com/) `paid`
- **Required**, to learn about logic programming, backtracking, unification: [Learn Prolog Now!](http://lpn.swi-prolog.org/lpnpage.php?pageid=top)
### Core math
**Topics covered**:
`linear transformations`
`matrices`
`vectors`
`mathematical proofs`
`number theory`
`differential calculus`
`integral calculus`
`sequences and series`
`discrete mathematics`
`basic statistics`
`O-notation`
`graph theory`
`vector calculus`
`discrete probability`
`and more`
### Math Electives
**Students must choose one of the following topics**: calculus, linear algebra, logic, or probability.
#### Linear Algebra
Courses | Duration | Effort | Prerequisites
:-- | :--: | :--: | :--:
[Essence of Linear Algebra](https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab) | - | - | pre-calculus
[Linear Algebra - Foundations to Frontiers](https://www.edx.org/course/linear-algebra-foundations-to-frontiers-0) ([alt](http://ulaff.net/)) | 15 weeks | 8 hours/week | Essence of Linear Algebra
#### Calculus
Courses | Duration | Effort | Prerequisites
:-- | :--: | :--: | :--:
[Calculus 1A: Differentiation](https://www.edx.org/course/calculus-1a-differentiation) | 13 weeks | 6-10 hours/week | pre-calculus
[Calculus 1B: Integration](https://www.edx.org/course/calculus-1b-integration) | 13 weeks | 5-10 hours/week | Calculus 1A
[Calculus 1C: Coordinate Systems & Infinite Series](https://www.edx.org/course/calculus-1c-coordinate-systems-infinite-series) | 13 weeks | 5-10 hours/week | Calculus 1B
#### Logic
Courses | Duration | Effort | Prerequisites
:-- | :--: | :--: | :--:
[Introduction to Logic](https://www.coursera.org/learn/logic-introduction) | 10 weeks | 4-8 hours/week | set theory
#### Probability
Courses | Duration | Effort | Prerequisites
:-- | :--: | :--: | :--:
[Introduction to Probability - The Science of Uncertainty](https://www.edx.org/course/introduction-probability-science-mitx-6-041x-2) | 18 weeks | 12 hours/week | Multivariable Calculus
### Math Core
In addition to their math elective, students must complete the following course on discrete mathematics.
**Topics covered**:
`discrete mathematics`
`mathematical proofs`
`basic statistics`
`O-notation`
`discrete probability`
`and more`
[Mathematics for Computer Science](https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-spring-2015/index.htm)<sup>**1**</sup> | 13 weeks | 5 hours/week | Calculus 1C
<sup>**1**</sup>: Students struggling with MIT Math for CS can consider taking the [Discrete Mathematics Specialization](https://www.coursera.org/specializations/discrete-mathematics) first.
@ -324,21 +335,6 @@ Courses | Duration | Effort | Prerequisites
[Introduction to Parallel Programming](https://classroom.udacity.com/courses/cs344) ([alt](https://www.youtube.com/playlist?list=PLGvfHSgImk4aweyWlhBXNF6XISY3um82_)) | 12 weeks | - | C, algorithms
[Software Architecture & Design](https://www.udacity.com/course/software-architecture-design--ud821)| 8 weeks | 6 hours/week | software engineering in Java
### Advanced math
**Topics covered**:
`parametric equations`
`polar coordinate systems`
`multivariable integrals`
`multivariable differentials`
`probability theory`
`and more`
Courses | Duration | Effort | Prerequisites
:-- | :--: | :--: | :--:
[Multivariable Calculus](https://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/index.htm) | 13 weeks | 12 hours/week | MIT Calculus 1C
[Introduction to Probability - The Science of Uncertainty](https://www.edx.org/course/introduction-probability-science-mitx-6-041x-2) | 18 weeks | 12 hours/week | Multivariable Calculus
### Advanced systems
**Topics covered**:
@ -394,7 +390,6 @@ If you are struggling, you can find a physics MOOC or utilize the materials from
Courses | Duration | Effort | Prerequisites
:-- | :--: | :--: | :--:
[Introduction to Logic](https://www.coursera.org/learn/logic-introduction) | 10 weeks | 4-8 hours/week | set theory
[Automata Theory](https://lagunita.stanford.edu/courses/course-v1:ComputerScience+Automata+SelfPaced/about) | 7 weeks | 10 hours/week | discrete mathematics, logic, algorithms
[Computational Geometry](https://www.edx.org/course/computational-geometry-tsinghuax-70240183x) | 16 weeks | 8 hours/week | algorithms, C++
[Introduction to Formal Concept Analysis](https://www.coursera.org/learn/formal-concept-analysis) | 6 weeks | 4-6 hours/week | logic, probability

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@ -33,6 +33,7 @@ Courses | Duration | Effort
[Introduction to Mathematical Thinking](https://www.coursera.org/learn/mathematical-thinking) | 10 weeks | 10 hours/week
[Introduction to Probability and Data](https://www.coursera.org/learn/probability-intro)| - | -
[Linear Algebra (Strang)](https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/index.htm) | - | -
[Multivariable Calculus](https://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/index.htm) | 13 weeks | 12 hours/week
## Systems