Discrete Mathematics

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Below are the top discussions from Reddit that mention this online Coursera course from Shanghai Jiao Tong University.

Offered by Shanghai Jiao Tong University. Discrete mathematics forms the mathematical foundation of computer and information science. It is ... Enroll for free.

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Taught by
Dominik Scheder
Assistant Professor
and 12 more instructors

Offered by
Shanghai Jiao Tong University

Reddit Posts and Comments

3 posts • 13 mentions • top 9 shown below

r/compsci • post
84 points • seriesCannon
Coursera is offering a new online course on discrete math. Class opens Feb 27 and 11 weeks of lectures are already posted.
r/computerscience • comment
1 points • EnvironmentalSwim

You can do what everyone else has had to do when this situation arose and that is to learn everything from the textbook.

Or you can try the online route. You can try and get credit from your school or use the online class to learn the material then take the course at your school next semester.

Coursera has a class in Discrete Mathematics

https://www.coursera.org/learn/discrete-mathematics

You can get a certificate for $49.

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r/MSCSO • comment
3 points • High-Priority

I was in the same boat not long ago and got some pretty good info straight from the MCSO program staff. You may have seen this list elsewhere online already, but just in case you haven’t here it is:

1) Programming Foundations with JavaScript, HTML and CSS, Coursera, Duke University, 4 weeks. https://www.coursera.org/learn/duke-programming-web 2) Introduction to Java Programming, edX, Universidad Carlos de Madrid, 5 weeks. https://www.edx.org/course/introduction-to-java-programming-starting-to-code-with-java 3) Learn to Program in Java, edX, Microsoft Professional Certificate Program, 4 weeks. https://www.edx.org/course/learn-to-program-in-java-1 4) Intro to Java Programming - Part 1, edX, Hong Kong University of Science and Technology, 5 weeks. https://www.edx.org/course/introduction-java-programming-part-1-hkustx-comp102-1x-9 5) Intro to Java Programming - Part 2, edX, Hong Kong University of Science and Technology, 5 weeks. (could combine these two courses) https://www.edx.org/course/introduction-java-programming-part-2-hkustx-comp102-2x-9 6) AP Computer Science A: Java Programming Classes and Objects, edX, Purdue Univ., 6 weeks. https://www.edx.org/course/ap-computer-science-a-java-programming-classes-and-objects

CS 314 - Data Structures 1) Foundations of Data Structures, edX, IIT Bombay, 6 weeks https://www.edx.org/course/foundations-of-data-structures 2) Data Structures and Software Design, edX, University of Penn, 8-10 weeks. https://www.edx.org/course/data-structures-software-design-pennx-sd2x 3) Data Structures Fundamentals, edX, UC San Diego, 6 weeks. https://www.edx.org/course/data-structures-fundamentals-uc-san-diegox-algs201x 4) Data Structures and Algorithms, Coursera, UC San Diego, 6 weeks. https://www.coursera.org/specializations/data-structures-algorithms

CS 311 - Discrete Math 1) Introduction to Discrete Mathematics for CS Specialization, Coursera, UC San Diego, 3 months https://www.coursera.org/specializations/discrete-mathematics 2) Discrete Mathematics, Coursera, Shanghai Jiao Tong University, 11 weeks https://www.coursera.org/learn/discrete-mathematics

CS 331 Algorithms and Complexity 1) Advanced Algorithms and Complexity, Coursera, UC San Diego, 4 weeks https://www.coursera.org/learn/advanced-algorithms-and-complexity 2) Algorithmic Thinking (Part 1), Courersa, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 3) Algorithmic Thinking (Part 2), Coursera, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 4) Algorithms Specialization (4 parts), Coursera, Stanford, 4 months https://www.coursera.org/specializations/algorithms

CS 429 Computer Architecture 1) Computation Structures 2: Computer Architecture, edX, MIT, 10 weeks https://www.edx.org/course/computation-structures-2-computer-mitx-6-004-2x 2) Computer Architecture, Coursera, Princeton, 4 weeks https://www.coursera.org/learn/comparch

CS 439 Computer Systems 1) Build a modern computer from First Principles: From Nand to tetris (Project-Centered Course) https://www.coursera.org/learn/build-a-computer

r/MSCSO • post
3 points • Slothfase
Recommended online courses from MSCSO

Hey all. I posted on the inaugural admissions thread that I was admitted without a CS undergrad and that I had taken MOOCs recommended by MSCSO. Early on in my application I had sent the admissions office an email and received a list of courses that they were considering in order to offer prospective students recommendations on how to prepare.

As per a few peoples request, here is that list:

> CS 312 - Intro to Programming > > 1) Programming Foundations with JavaScript, HTML and CSS, Coursera, Duke University, 4 weeks. > https://www.coursera.org/learn/duke-programming-web > > 2) Introduction to Java Programming, edX, Universidad Carlos de Madrid, 5 weeks. > https://www.edx.org/course/introduction-to-java-programming-starting-to-code-with-java > > 3) Learn to Program in Java, edX, Microsoft Professional Certificate Program, 4 weeks. > https://www.edx.org/course/learn-to-program-in-java-1 > > 4) Intro to Java Programming - Part 1, edX, Hong Kong University of Science and Technology, 5 weeks. > https://www.edx.org/course/introduction-java-programming-part-1-hkustx-comp102-1x-9 > > 5) Intro to Java Programming - Part 2, edX, Hong Kong University of Science and Technology, 5 weeks. (could combine these two courses) > https://www.edx.org/course/introduction-java-programming-part-2-hkustx-comp102-2x-9 > > 6) AP Computer Science A: Java Programming Classes and Objects, edX, Purdue Univ., 6 weeks. > https://www.edx.org/course/ap-computer-science-a-java-programming-classes-and-objects > > CS 314 - Data Structures > > 1) Foundations of Data Structures, edX, IIT Bombay, 6 weeks > https://www.edx.org/course/foundations-of-data-structures > > 2) Data Structures and Software Design, edX, University of Penn, 8-10 weeks. > https://www.edx.org/course/data-structures-software-design-pennx-sd2x > > 3) Data Structures Fundamentals, edX, UC San Diego, 6 weeks. > https://www.edx.org/course/data-structures-fundamentals-uc-san-diegox-algs201x > > 4) Data Structures and Algorithms, Coursera, UC San Diego, 6 weeks. > https://www.coursera.org/specializations/data-structures-algorithms > > CS 311 - Discrete Math > > 1) Introduction to Discrete Mathematics for CS Specialization, Coursera, UC San Diego, 3 months > https://www.coursera.org/specializations/discrete-mathematics > > 2) Discrete Mathematics, Coursera, Shanghai Jiao Tong University, 11 weeks > https://www.coursera.org/learn/discrete-mathematics

> CS 331 Algorithms and Complexity > > 1) Advanced Algorithms and Complexity, Coursera, UC San Diego, 4 weeks > https://www.coursera.org/learn/advanced-algorithms-and-complexity > > 2) Algorithmic Thinking (Part 1), Courersa, Rice University, 4 weeks > https://www.coursera.org/learn/algorithmic-thinking-1 > > 3) Algorithmic Thinking (Part 2), Coursera, Rice University, 4 weeks > https://www.coursera.org/learn/algorithmic-thinking-1

4) Algorithms Specialization (4 parts), Coursera, Stanford, 4 months https://www.coursera.org/specializations/algorithms

> CS 429 Computer Architecture > > 1) Computation Structures 2: Computer Architecture, edX, MIT, 10 weeks > https://www.edx.org/course/computation-structures-2-computer-mitx-6-004-2x > > 2) Computer Architecture, Coursera, Princeton, 4 weeks > https://www.coursera.org/learn/comparch > > > CS 439 Computer Systems > > 1) Build a modern computer from First Principles: From Nand to tetris (Project-Centered Course) > https://www.coursera.org/learn/build-a-computer

I chose one class from each topic (minus the Discrete Math, given my undergrad was Mathematics) and included the certificates in my application to both MSCSO and OMSCS.

I did end up picking OMSCS, but I hope to see the MSCSO program thrive and I wish all applicants the best of luck!

r/MSCSO • comment
1 points • Danny_Boodman

About the list and 80% From their email Applicants who do not hold a degree in computer science should have prior coursework or experience equivalent to the following UT Computer Science undergraduate courses:

• Discrete Math for Computer Science (CS 311)

• Introduction to Programming (CS 312)

• Data Structures (CS 314)

• Algorithms and Complexity (CS 331)

• Computer Organization and Architecture (CS 429)

• Principles of Computer Systems (CS 439)

Here are the undergraduate course descriptions for more information about the material covered in the prerequisite courses. If an applicant has evidence of gaining content knowledge on these subjects through a course or through work experience, it is important to detail that in the CV and personal statement. It is also possible to take courses through online platforms or a local university.

I’ve attached a list of courses that would be helpful for an applicant to prepare for the program.  Once again, I would recommend mentioning these in the personal statement to show that an applicant has acquired the content knowledge to succeed in the program.  

CS 312 - Intro to Programming

1)  Programming Foundations with JavaScript, HTML and CSS, Coursera, Duke University, 4 weeks.

https://www.coursera.org/learn/duke-programming-web

2)  Introduction to Java Programming, edX, Universidad Carlos de Madrid, 5 weeks.

https://www.edx.org/course/introduction-to-java-programming-starting-to-code-with-java

3) Learn to Program in Java, edX, Microsoft Professional Certificate Program, 4 weeks.

https://www.edx.org/course/learn-to-program-in-java-1

4)  Intro to Java Programming - Part 1, edX, Hong Kong University of Science and Technology, 5 weeks.

https://www.edx.org/course/introduction-java-programming-part-1-hkustx-comp102-1x-9

5)  Intro to Java Programming - Part 2, edX, Hong Kong University of Science and Technology, 5 weeks. (could combine these two courses)

https://www.edx.org/course/introduction-java-programming-part-2-hkustx-comp102-2x-9

6)  AP Computer Science A:  Java Programming Classes and Objects, edX, Purdue Univ., 6 weeks.

https://www.edx.org/course/ap-computer-science-a-java-programming-classes-and-objects

CS 314 - Data Structures

1) Foundations of Data Structures, edX, IIT Bombay, 6 weeks

https://www.edx.org/course/foundations-of-data-structures

2)  Data Structures and Software Design, edX, University of Penn, 8-10 weeks.

https://www.edx.org/course/data-structures-software-design-pennx-sd2x

3)  Data Structures Fundamentals, edX, UC San Diego, 6 weeks.

https://www.edx.org/course/data-structures-fundamentals-uc-san-diegox-algs201x

4)  Data Structures and Algorithms, Coursera, UC San Diego, 6 weeks.

https://www.coursera.org/specializations/data-structures-algorithms

CS 311 - Discrete Math

1)  Introduction to Discrete Mathematics for CS Specialization, Coursera, UC San Diego, 3 months

https://www.coursera.org/specializations/discrete-mathematics

2)  Discrete Mathematics, Coursera, Shanghai Jiao Tong University, 11 weeks

https://www.coursera.org/learn/discrete-mathematics

CS 331 Algorithms and Complexity

1)  Advanced Algorithms and Complexity, Coursera, UC San Diego, 4 weeks

https://www.coursera.org/learn/advanced-algorithms-and-complexity

2)  Algorithmic Thinking (Part 1), Courersa, Rice University, 4 weeks

https://www.coursera.org/learn/algorithmic-thinking-1

3)  Algorithmic Thinking (Part 2), Coursera, Rice University, 4 weeks

https://www.coursera.org/learn/algorithmic-thinking-1

4)  Algorithms Specialization (4 parts), Coursera, Stanford, 4 months

https://www.coursera.org/specializations/algorithms

CS 429 Computer Architecture

1)  Computation Structures 2: Computer Architecture, edX, MIT, 10 weeks

https://www.edx.org/course/computation-structures-2-computer-mitx-6-004-2x

2) Computer Architecture, Coursera, Princeton, 4 weeks

https://www.coursera.org/learn/comparch

CS 439 Computer Systems

1)  Build a modern computer from First Principles:  From Nand to tetris (Project-Centered Course)

https://www.coursera.org/learn/build-a-computer

r/cscareerquestions • comment
1 points • 425trafficeng

This is the list UT-Austin sends out for preparing for their online masters.

CS 312 - Intro to Programming

  1. ⁠Programming Foundations with JavaScript, HTML and CSS, Coursera, Duke University, 4 weeks. https://www.coursera.org/learn/duke-programming-web
  2. ⁠Introduction to Java Programming, edX, Universidad Carlos de Madrid, 5 weeks. https://www.edx.org/course/introduction-to-java-programming-starting-to-code-with-java
  3. ⁠Learn to Program in Java, edX, Microsoft Professional Certificate Program, 4 weeks. https://www.edx.org/course/learn-to-program-in-java-1
  4. ⁠Intro to Java Programming - Part 1, edX, Hong Kong University of Science and Technology, 5 weeks. https://www.edx.org/course/introduction-java-programming-part-1-hkustx-comp102-1x-9
  5. ⁠Intro to Java Programming - Part 2, edX, Hong Kong University of Science and Technology, 5 weeks. (could combine these two courses) https://www.edx.org/course/introduction-java-programming-part-2-hkustx-comp102-2x-9
  6. ⁠AP Computer Science A: Java Programming Classes and Objects, edX, Purdue Univ., 6 weeks. https://www.edx.org/course/ap-computer-science-a-java-programming-classes-and-objects

CS 314 - Data Structures

  1. ⁠Foundations of Data Structures, edX, IIT Bombay, 6 weeks https://www.edx.org/course/foundations-of-data-structures
  2. ⁠Data Structures and Software Design, edX, University of Penn, 8-10 weeks. https://www.edx.org/course/data-structures-software-design-pennx-sd2x
  3. ⁠Data Structures Fundamentals, edX, UC San Diego, 6 weeks. https://www.edx.org/course/data-structures-fundamentals-uc-san-diegox-algs201x
  4. ⁠Data Structures and Algorithms, Coursera, UC San Diego, 6 weeks. https://www.coursera.org/specializations/data-structures-algorithms

CS 311 - Discrete Math

  1. ⁠Introduction to Discrete Mathematics for CS Specialization, Coursera, UC San Diego, 3 months https://www.coursera.org/specializations/discrete-mathematics
  2. ⁠Discrete Mathematics, Coursera, Shanghai Jiao Tong University, 11 weeks https://www.coursera.org/learn/discrete-mathematics

CS 331 Algorithms and Complexity

  1. ⁠Advanced Algorithms and Complexity, Coursera, UC San Diego, 4 weeks https://www.coursera.org/learn/advanced-algorithms-and-complexity
  2. ⁠Algorithmic Thinking (Part 1), Courersa, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1
  3. ⁠Algorithmic Thinking (Part 2), Coursera, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1
  4. ⁠Algorithms Specialization (4 parts), Coursera, Stanford, 4 months https://www.coursera.org/specializations/algorithms

CS 429 Computer Architecture

  1. ⁠Computation Structures 2: Computer Architecture, edX, MIT, 10 weeks https://www.edx.org/course/computation-structures-2-computer-mitx-6-004-2x
  2. ⁠Computer Architecture, Coursera, Princeton, 4 weeks https://www.coursera.org/learn/comparch

CS 439 Computer Systems

  1. ⁠Build a modern computer from First Principles: From Nand to tetris (Project-Centered Course) https://www.coursera.org/learn/build-a-computer

r/MSCSO • comment
1 points • Snoo-75754

I asked them and they send me this list. Applicants who do not hold a degree in computer science should have prior coursework or experience equivalent to the following UT Computer Science undergraduate courses:

• Discrete Math for Computer Science (CS 311) • Introduction to Programming (CS 312) • Data Structures (CS 314) • Algorithms and Complexity (CS 331) • Computer Organization and Architecture (CS 429) • Principles of Computer Systems (CS 439)

Here are the undergraduate course descriptions for more information about the material covered in the prerequisite courses. If an applicant has evidence of gaining content knowledge on these subjects through a course or through work experience, it is important to detail that in the CV and personal statement. It is also possible to take courses through online platforms or a local university.

I’ve attached a list of courses that would be helpful for an applicant to prepare for the program. Once again, I would recommend mentioning these in the personal statement to show that an applicant has acquired the content knowledge to succeed in the program.

CS 312 - Intro to Programming 1) Programming Foundations with JavaScript, HTML and CSS, Coursera, Duke University, 4 weeks. https://www.coursera.org/learn/duke-programming-web 2) Introduction to Java Programming, edX, Universidad Carlos de Madrid, 5 weeks. https://www.edx.org/course/introduction-to-java-programming-starting-to-code-with-java 3) Learn to Program in Java, edX, Microsoft Professional Certificate Program, 4 weeks. https://www.edx.org/course/learn-to-program-in-java-1 4) Intro to Java Programming - Part 1, edX, Hong Kong University of Science and Technology, 5 weeks. https://www.edx.org/course/introduction-java-programming-part-1-hkustx-comp102-1x-9 5) Intro to Java Programming - Part 2, edX, Hong Kong University of Science and Technology, 5 weeks. (could combine these two courses) https://www.edx.org/course/introduction-java-programming-part-2-hkustx-comp102-2x-9 6) AP Computer Science A: Java Programming Classes and Objects, edX, Purdue Univ., 6 weeks. https://www.edx.org/course/ap-computer-science-a-java-programming-classes-and-objects

CS 314 - Data Structures 1) Foundations of Data Structures, edX, IIT Bombay, 6 weeks https://www.edx.org/course/foundations-of-data-structures 2) Data Structures and Software Design, edX, University of Penn, 8-10 weeks. https://www.edx.org/course/data-structures-software-design-pennx-sd2x 3) Data Structures Fundamentals, edX, UC San Diego, 6 weeks. https://www.edx.org/course/data-structures-fundamentals-uc-san-diegox-algs201x 4) Data Structures and Algorithms, Coursera, UC San Diego, 6 weeks. https://www.coursera.org/specializations/data-structures-algorithms

CS 311 - Discrete Math 1) Introduction to Discrete Mathematics for CS Specialization, Coursera, UC San Diego, 3 months https://www.coursera.org/specializations/discrete-mathematics 2) Discrete Mathematics, Coursera, Shanghai Jiao Tong University, 11 weeks https://www.coursera.org/learn/discrete-mathematics

CS 331 Algorithms and Complexity 1) Advanced Algorithms and Complexity, Coursera, UC San Diego, 4 weeks https://www.coursera.org/learn/advanced-algorithms-and-complexity 2) Algorithmic Thinking (Part 1), Courersa, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 3) Algorithmic Thinking (Part 2), Coursera, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 4) Algorithms Specialization (4 parts), Coursera, Stanford, 4 months https://www.coursera.org/specializations/algorithms

CS 429 Computer Architecture 1) Computation Structures 2: Computer Architecture, edX, MIT, 10 weeks https://www.edx.org/course/computation-structures-2-computer-mitx-6-004-2x 2) Computer Architecture, Coursera, Princeton, 4 weeks https://www.coursera.org/learn/comparch

CS 439 Computer Systems 1) Build a modern computer from First Principles: From Nand to tetris (Project-Centered Course) https://www.coursera.org/learn/build-a-computer

Please let us know if you have any other questions.

UTCS Online Masters Program Staff [email protected]

r/MSCSO • comment
1 points • Tender_Figs

Awesome. I did notice they had this list on this reddit (which they confirmed), but I'm unsure if it's one from each or the whole list..

CS 312 - Intro to Programming 1) Programming Foundations with JavaScript, HTML and CSS, Coursera, Duke University, 4 weeks. https://www.coursera.org/learn/duke-programming-web 2) Introduction to Java Programming, edX, Universidad Carlos de Madrid, 5 weeks. https://www.edx.org/course/introduction-to-java-programming-starting-to-code-with-java 3) Learn to Program in Java, edX, Microsoft Professional Certificate Program, 4 weeks. https://www.edx.org/course/learn-to-program-in-java-1 4) Intro to Java Programming - Part 1, edX, Hong Kong University of Science and Technology, 5 weeks. https://www.edx.org/course/introduction-java-programming-part-1-hkustx-comp102-1x-9 5) Intro to Java Programming - Part 2, edX, Hong Kong University of Science and Technology, 5 weeks. (could combine these two courses) https://www.edx.org/course/introduction-java-programming-part-2-hkustx-comp102-2x-9 6) AP Computer Science A: Java Programming Classes and Objects, edX, Purdue Univ., 6 weeks. https://www.edx.org/course/ap-computer-science-a-java-programming-classes-and-objects

CS 314 - Data Structures 1) Foundations of Data Structures, edX, IIT Bombay, 6 weeks https://www.edx.org/course/foundations-of-data-structures 2) Data Structures and Software Design, edX, University of Penn, 8-10 weeks. https://www.edx.org/course/data-structures-software-design-pennx-sd2x 3) Data Structures Fundamentals, edX, UC San Diego, 6 weeks. https://www.edx.org/course/data-structures-fundamentals-uc-san-diegox-algs201x 4) Data Structures and Algorithms, Coursera, UC San Diego, 6 weeks. https://www.coursera.org/specializations/data-structures-algorithms

CS 311 - Discrete Math 1) Introduction to Discrete Mathematics for CS Specialization, Coursera, UC San Diego, 3 months https://www.coursera.org/specializations/discrete-mathematics 2) Discrete Mathematics, Coursera, Shanghai Jiao Tong University, 11 weeks https://www.coursera.org/learn/discrete-mathematics

CS 331 Algorithms and Complexity 1) Advanced Algorithms and Complexity, Coursera, UC San Diego, 4 weeks https://www.coursera.org/learn/advanced-algorithms-and-complexity 2) Algorithmic Thinking (Part 1), Courersa, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 3) Algorithmic Thinking (Part 2), Coursera, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 4) Algorithms Specialization (4 parts), Coursera, Stanford, 4 months https://www.coursera.org/specializations/algorithms

CS 429 Computer Architecture 1) Computation Structures 2: Computer Architecture, edX, MIT, 10 weeks https://www.edx.org/course/computation-structures-2-computer-mitx-6-004-2x 2) Computer Architecture, Coursera, Princeton, 4 weeks https://www.coursera.org/learn/comparch

CS 439 Computer Systems 1) Build a modern computer from First Principles: From Nand to tetris (Project-Centered Course) https://www.coursera.org/learn/build-a-computer

r/MSCSO • comment
1 points • Epines1911

CS 312 - Intro to Programming 1) Programming Foundations with JavaScript, HTML and CSS, Coursera, Duke University, 4 weeks. https://www.coursera.org/learn/duke-programming-web 2) Introduction to Java Programming, edX, Universidad Carlos de Madrid, 5 weeks. https://www.edx.org/course/introduction-to-java-programming-starting-to-code-with-java 3) Learn to Program in Java, edX, Microsoft Professional Certificate Program, 4 weeks. https://www.edx.org/course/learn-to-program-in-java-1 4) Intro to Java Programming - Part 1, edX, Hong Kong University of Science and Technology, 5 weeks. https://www.edx.org/course/introduction-java-programming-part-1-hkustx-comp102-1x-9 5) Intro to Java Programming - Part 2, edX, Hong Kong University of Science and Technology, 5 weeks. (could combine these two courses) https://www.edx.org/course/introduction-java-programming-part-2-hkustx-comp102-2x-9 6) AP Computer Science A: Java Programming Classes and Objects, edX, Purdue Univ., 6 weeks. https://www.edx.org/course/ap-computer-science-a-java-programming-classes-and-objects

CS 314 - Data Structures 1) Foundations of Data Structures, edX, IIT Bombay, 6 weeks https://www.edx.org/course/foundations-of-data-structures 2) Data Structures and Software Design, edX, University of Penn, 8-10 weeks. https://www.edx.org/course/data-structures-software-design-pennx-sd2x 3) Data Structures Fundamentals, edX, UC San Diego, 6 weeks. https://www.edx.org/course/data-structures-fundamentals-uc-san-diegox-algs201x 4) Data Structures and Algorithms, Coursera, UC San Diego, 6 weeks. https://www.coursera.org/specializations/data-structures-algorithms

CS 311 - Discrete Math 1) Introduction to Discrete Mathematics for CS Specialization, Coursera, UC San Diego, 3 months https://www.coursera.org/specializations/discrete-mathematics 2) Discrete Mathematics, Coursera, Shanghai Jiao Tong University, 11 weeks https://www.coursera.org/learn/discrete-mathematics

CS 331 Algorithms and Complexity 1) Advanced Algorithms and Complexity, Coursera, UC San Diego, 4 weeks https://www.coursera.org/learn/advanced-algorithms-and-complexity 2) Algorithmic Thinking (Part 1), Courersa, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 3) Algorithmic Thinking (Part 2), Coursera, Rice University, 4 weeks https://www.coursera.org/learn/algorithmic-thinking-1 4) Algorithms Specialization (4 parts), Coursera, Stanford, 4 months https://www.coursera.org/specializations/algorithms

CS 429 Computer Architecture 1) Computation Structures 2: Computer Architecture, edX, MIT, 10 weeks https://www.edx.org/course/computation-structures-2-computer-mitx-6-004-2x 2) Computer Architecture, Coursera, Princeton, 4 weeks https://www.coursera.org/learn/comparch

CS 439 Computer Systems 1) Build a modern computer from First Principles: From Nand to tetris (Project-Centered Course) https://www.coursera.org/learn/build-a-computer

Kathryn sent that to me several months ago when I asked her similar questions☺