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The aim of the course is to give an introduction to discrete applied mathematics. Topics include probability, counting, linear programming, number-theoretic algorithms, sorting, data compression, and error-correcting codes. This is a Communication Intensive in the Major (CI-M) course and thus includes a writing component. If students are looking forward to get some knowledge regarding this filed then this is the right course for them.

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 need 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: MIT

Course Curriculum

Module: 01
Probability Theory 00:21:00
Pigeonhole Principle 00:21:00
Probabilistic Method – Van der Waerden’s Theorem 00:20:00
Chernoff Bounds 00:25:00
Sequential Choice 00:25:00
Counting, Coding, Sampling 00:22:00
Generating Functions 00:24:00
Module: 02
Linear Programming 00:23:00
Network Flows 00:23:00
Sorting 00:23:00
Median Finding 00:22:00
Median Finding and QUICKSORT 00:24:00
Sorting Networks 00:23:00
Modular Arithmetic and Elementary Algebra 00:21:00
Module: 03
Cryptography 00:23:00
Factoring 00:21:00
FFT (Fast Fourier Transform) 00:23:00
Shannon’s Noiseless Coding Theorem 00:24:00
Huffman Codes 00:24:00
Lempel-Ziv Codes 00:21:00
Shannon’s Noisy Coding Theorem 00:24:00
Linear Codes 00:23:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

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