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In this Discrete Mathematical Structures you will learn about the different proof techniques and how to use them for solving different kind of problems. It will introduce graphs and show how graphs can be used for modeling of different problems and how this can help in solving problems. You will learn how to count the number of possibilities that can arise in different situations. The course covers include fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

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Course Credit: Open Culture

Course Curriculum

Lecture 1 – Propositional Logic 00:57:00
Lecture 2 – Propositional Logic (Contd.) 00:58:00
Lecture 3 – Predicates & Quantifiers 00:58:00
Lecture 4 – Predicates & Quantifiers (Contd.) 00:59:00
Lecture 5 -Logical Inference 00:59:00
Lecture 6 -Resolution Principles & Application to PROLOG 00:55:00
Lecture 7 – Methods of Proof 00:55:00
Lecture 8 – Normal Forms 00:58:00
Lecture 10 – Sets 00:55:00
Lecture 12 – Set Operations on Strings Over an Alphabet 00:58:00
Lecture 14- Graphs 00:56:00
Lecture 15 – Graphs (Contd.) 00:56:00
Lecture 16 – Trees 00:57:00
Lecture 17 – Trees and Graphs 00:57:00
Lecture 18 – Special Properties of Relations 00:57:00
Lecture -19 – Closure of Relations 00:57:00
Lecture 20 – Closure of Relations (Contd.) 00:57:00
Lecture 21 – Order Relations 00:56:00
Lecture 22 – Order and Relations and Equivalence Relations 00:58:00
Lecture 23 – Equivalence relations and partitions 00:56:00
Lecture 24 – Functions 00:55:00
Lecture 25 – Functions (Contd.) 00:56:00
Lectures 26 – Functions (Contd.) 00:58:00
Lecture 27-Pigeonhole Principle 00:57:00
Lecture 28 – Permutations and combinations 00:57:00
Lecture 29 – Permutations and Combinations(Contd…) 01:00:00
Lecture 30 – Generating Functions 00:58:00
Lecture 31- Generating Functions 00:56:00
Lecture 32 – Recurrence Relations 00:57:00
Lecture 33 – Recurrence Relations 00:56:00
Lecture 34-Recurrence Relations(contd..) 00:54:00
Lecture 35-Algebras 00:57:00
Lecture 36-Algebras(contd…) 00:57:00
Lecture 37-Algebras(contd…) 00:56:00
Lecture 38-Finite State Automaton 00:57:00
Lecture 39-Finite State Automaton(contd….) 00:57:00
Lecture 40-Lattices 00:57:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

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