Discrete Mathematics Course for Beginners

The course offers a solid foundation in discrete mathematics, covering essential topics with clarity and depth. The instructor, Karol Kurek, demonstrates strong pedagogical skills, breaking down complex ideas into manageable segments and providing numerous examples. The integration of Python programming to illustrate concepts like permutations and prime number generation is a valuable addition, bridging theory and practical application. The course’s structure is logical, progressing from basic counting principles to more advanced topics like Stirling numbers and the Chinese remainder theorem. The explanations are mathematically rigorous, with proper notation and derivations. However, the instructor’s accent may pose a challenge for some non-native English speakers, as noted in the comments, potentially affecting comprehension. The course is an introduction and does not cover all branches of discrete mathematics, such as graph theory or logic, but it fulfills its stated goal of focusing on combinatorics and number theory. The use of real-world examples, such as password cracking and the traveling salesman problem, helps contextualize the material. The course resources on GitHub provide additional materials for learners. Overall, the course is a valuable resource for beginners, offering a comprehensive and well-structured introduction to discrete mathematics.

The title accurately reflects the content: a comprehensive beginner's course on discrete mathematics.

8/10

The course is well-structured, covers fundamental topics with clear explanations and practical examples, and includes coding implementations. The instructor has a background in mathematics and Python development. However, the accent may be challenging for some viewers, and the course is an introduction rather than an exhaustive treatment.

• 00:00Introduction to Discrete Mathematics
• 05:20Permutations: Definition and Examples
• 08:27Applications of Permutations
• 10:14Cycles and Multiset Permutations
• 13:13Counting Permutations: The Formulas
• 19:12Permutations in Python with itertools
• 25:18Custom Python Function for Counting Permutations
• 33:23Heap's Algorithm
• 40:59K-Permutations and K-Tuples
• 46:08The Rule of Product
• 53:35The Rule of Sum
• 54:25Exercises: Rule of Product & Sum
• 1:14:11The Inclusion-Exclusion Principle
• 1:26:52Exercises: Inclusion-Exclusion Principle
• 1:44:36Mathematical Notations (Sigma & Pi)
• 2:30:28Equinumerosity & Countable Sets
• 3:00:47Proving Rational Numbers are Countable
• 3:09:16Prime Numbers & Sieve of Eratosthenes
• 3:27:33Prime Number Generation in Python
• 3:40:43Advanced Properties of Prime Numbers
• 3:58:30GCD & LCM (Greatest Common Divisor & Least Common Multiple)
• 4:22:53Co-prime Numbers
• 4:29:30Congruences (Modular Arithmetic)
• 5:00:53Binomial Coefficients & Pascal's Triangle
• 5:11:11Combinations
• 5:40:43Solving a Complex Combinatorics Problem
• 5:51:53Stirling Numbers
• 6:53:52Bell Numbers
• 7:00:00The Chinese Remainder Theorem
• 7:22:16Conclusion & What's Next

• Course resources on GitHub — Repository containing course materials, code examples, and exercises.
• Instructor's website — Personal website of Karol Kurek, the course instructor.
• freeCodeCamp news — freeCodeCamp's publication platform where related articles and tutorials are posted.
• freeCodeCamp — Main website of freeCodeCamp, the organization hosting the course.
• Scrimba — Platform offering interactive coding courses, linked from the description.

• Discrete Mathematics and Its Applications by Kenneth Rosen — A widely used textbook covering similar topics, mentioned by a commenter.

• buymeacoffee.com