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Mathematical modeling of computation problems is a subject that deals with algorithms. Being introduced to algorithms will let you understand how programming works to deliver the data you need and solve mathematical equations.

You will be introduced to types of computation problems and solution in this [course_title] to let you experience real-life situations involving algorithms. You will be exposed to common algorithms, algorithmic paradigms, and data structures in this course.


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.


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Course Credit: MIT


Course Curriculum

Module: 01
Lecture 1: Algorithmic Thinking, Peak Finding 00:53:00
Lecture 2: Models of Computation, Document Distance 00:49:00
Lecture 3: Insertion Sort, Merge Sort 00:51:00
Lecture 4: Heaps and Heap Sort 00:52:00
Lecture 5: Binary Search Trees, BST Sort 00:52:00
Module: 02
Lecture 6: AVL Trees, AVL Sort 00:52:00
Lecture 7: Counting Sort, Radix Sort, Lower Bounds for Sorting 00:52:00
Lecture 8: Hashing with Chaining 00:51:00
Lecture 9: Table Doubling, Karp-Rabin 00:53:00
Lecture 10: Open Addressing, Cryptographic Hashing 00:51:00
Module: 03
Lecture 11: Integer Arithmetic, Karatsuba Multiplication 00:47:00
Lecture 12: Square Roots, Newton’s Method 00:51:00
Lecture 13: Breadth-First Search (BFS) 00:50:00
Lecture 14: Depth-First Search (DFS), Topological Sort 00:50:00
Lecture 15: Single-Source Shortest Paths Problem 00:53:00
Module: 04
Lecture 16: Dijkstra 00:51:00
Lecture 17: Bellman-Ford 00:49:00
Lecture 18: Speeding up Dijkstra 00:53:00
Lecture 19: Dynamic Programming I: Fibonacci, Shortest Paths 00:52:00
Lecture 20: Dynamic Programming II: Text Justification, Blackjack 00:52:00
Module: 05
Lecture 21: Dynamic Programming III: Parenthesization, Edit Distance, Knapsack 00:52:00
Lecture 22: Dynamic Programming IV: Guitar Fingering, Tetris, Super Mario Bros. 00:49:00
Lecture 23: Computational Complexity 00:51:00
Lecture 24: Topics in Algorithms Research 00:47:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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