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Intro to Theoretical Computer Science

Course

Learn the basic concepts in theoretical computer science. Discover what they imply for solving tough computational challenges.

Learn the basic concepts in theoretical computer science. Discover what they imply for solving tough computational challenges.

Last Updated March 7, 2022

Prerequisites:

No experience required

Course Lessons

Lesson 1

Lesson 1.1 - Challenging Problems

Lesson 2

Lesson 1.2 - Algorithm Analysis and the RAM

Lesson 3

Lesson 1.3 - Big O (Optional)

Lesson 4

Lesson 1.4 - Connecting Similar Problems

Lesson 5

Problem Set 1

Lesson 6

Lesson 2.1 - Many Solutions and Intractability

Lesson 7

Lesson 2.2 - Non-deterministic RAM

Lesson 8

Lesson 2.3 - SAT

Lesson 9

Lesson 2.4 - Proof of SAT (Optional)

Lesson 10

Lesson 2.5 - NP-Completeness Via Reductions

Lesson 11

Problem Set 2

Lesson 12

Lesson 3 - Solving NP-Complete Problems

Lesson 13

Problem Set 3

Lesson 14

Lesson 4.1 - Pruning the Input

Lesson 15

Lessons 4.2 - Preprocessing

Lesson 16

Lesson 4.3 - Measuring Hardness

Lesson 17

Problem Set 4

Lesson 18

Lesson 5.1 - Approximation Factor

Lesson 19

Lesson 5.2 - Shortest Tour

Lesson 20

Lesson 5.3 - Reductions & Approx. Factors

Lesson 21

Lesson 5.4 - PTAS

Lesson 22

Problem Set 5

Lesson 23

Lesson 6.1 - Randomization

Lesson 24

Lesson 6.2 - What You've Learnt

Lesson 25

Problem Set 6

Lesson 26

Lesson 7.1 - Limits of Computation

Lesson 27

Lesson 7.2 - More Undecidability

Lesson 28

Problem Set 7

Lesson 29

Exam

Taught By The Best

Photo of Sebastian Wernicke

Sebastian Wernicke

Instructor

Photo of Sean Bennett

Sean Bennett

Instructor

Photo of Sarah Norell

Sarah Norell

Instructor

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