We’ll implement together an efficient program for a problem needed by delivery companies all over the world millions times per day — the travelling salesman problem. The goal in this problem is to visit all the given places as quickly as possible. How to find an optimal solution to this problem quickly? We still don’t have provably efficient algorithms for this difficult computational problem and this is the essence of the P versus NP problem, the most important open question in Computer Science. Still, we’ll implement several efficient solutions for real world instances of the travelling salesman problem. While designing these solutions, we will rely heavily on the material learned in the courses of the specialization: proof techniques, combinatorics, probability, graph theory. We’ll see several examples of using discrete mathematics ideas to get more and more efficient solutions.
Programa de cursos integrados Introduction to Discrete Mathematics for Computer Science
Build a Foundation for Your Career in IT. Master the math powering our lives and prepare for your software engineer or security analyst career
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Visão Geral dos Projetos
- Beginner Specialization.
- No prior experience required.
Mathematical Thinking in Computer Science
- 6 weeks, 2–5 hours/week
Sobre o cursoMathematical thinking is crucial in all areas of computer science: algorithms, bioinformatics, computer graphics, data science, machine learning, etc. In this course, we will learn the most important tools used in discrete mathematics: ind
Combinatorics and Probability
- 6 weeks, 3-5 hours/week
Sobre o cursoCounting is one of the basic mathematically related tasks we encounter on a day to day basis. The main question here is the following. If we need to count something, can we do anything better than just counting all objects one by one? Do we need to c
Introduction to Graph Theory
- 5 weeks, 3-5 hours/week
Sobre o cursoWe invite you to a fascinating journey into Graph Theory — an area which connects the elegance of painting and the rigor of mathematics; is simple, but not unsophisticated. Graph Theory gives us, both an easy way to pictorially represent many major mathe
Number Theory and Cryptography
- 4 weeks, 2-5 hours/week
Sobre o cursoWe all learn numbers from the childhood. Some of us like to count, others hate it, but any person uses numbers everyday to buy things, pay for services, estimated time and necessary resources. People have been wondering about numbers’ properties for th
- 3 weeks of study, 2–5 hours/week
Sobre o cursoWe’ll implement (in Python) together efficient programs for a problem needed by delivery companies all over the world millions times per day — the travelling salesman problem. The goal in this problem is to visit all the given places as quickly as possible.
Alexander S. Kulikov