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Programming Discrete Math Concepts for Beginners

Gain insights into connecting discrete mathematics with programming. Explore variables, expressions, data structures, and algorithm design to enhance your problem-solving and implementation skills.

73 Lessons

13h

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LEARNING OBJECTIVES

An understanding of the relationship between discrete mathematics and programming
An understanding of implementing basic algorithms as programs
Hands-on experience coding the basic data structures
Exposure to six different programming languages

Learning Roadmap

73 Lessons9 Quizzes12 Challenges

Course Introduction

Get familiar with discrete math foundations, emphasizing algorithms, data structures, and programming links.

About the Course

What is Discrete Mathematics?

Discrete Mathematics and Computer Science

Programming Language and Boolean Algebra

Solve challenges with Boolean algebra, logical expressions, and practical programming examples.

Logic, Mathematics, and Programming Languages

Introduction to Boolean Algebra

How to Input Boolean Values

Quiz: Programming Language and Boolean Algebra

Challenge: Grades and Temperature

Logical Expressions and Algorithms

10 Lessons

Examine logical expressions, control constructs, and algorithms like Quicksort and Euclid's GCD.

Arrays and Discrete Mathematics

11 Lessons

Grasp the fundamentals of statistical measures, array manipulation, set operations, and probability in programming.

Classes, Objects, and Methods

7 Lessons

Take a closer look at classes, objects, methods, and optimizing algorithms for efficiency.

Linear Data Structures

8 Lessons

Tackle practical applications of ArrayLists, linked lists, stacks, queues, deques, and combined structures.

Tree, Algorithms, and Templates

15 Lessons

Build on algorithms, recursion, tree traversals, Java Collections, C++ templates, and practical challenges.

Time Complexity

5 Lessons

Sharpen your skills in understanding and optimizing the efficiency of algorithms.

Propositional Logic

4 Lessons

Unpack the core of propositional logic, sets, and set operations, crucial in programming.

10.

Combinatorics

4 Lessons

Examine combinatorial methods in permutations, combinations, and recursive algorithms for array challenges.

11.

Wrapping Up

Find out about key foundational concepts in discrete math and their importance for coding.

Conclusion

Solving Sudoku and the 8-Queens Puzzle as Constraint Satisfaction

Project

Premium

Certificate of Completion

Showcase your accomplishment by sharing your certificate of completion.

Developed by MAANG Engineers

ABOUT THIS COURSE

Discrete mathematics is the basis of several popular algorithms. This course shows the discreteness of data structures and algorithms. It can benefit programmers with a non-CS background looking to strengthen their foundations by connecting theoretical concepts with practical programming scenarios. The course starts with discussing relating discrete mathematics with algorithms and data structures. You will have examples demonstrating variables, conditional expressions, and arrays as basic building blocks of programming. Then, you will use classes and objects to define and implement linear data structures. You will also learn about the binary tree traversals and templates and the topics of time complexity, set difference, and rearranging the values in a string. By the end of the course, you will have a strong grasp of algorithm design, data structure implementation, and overall problem-solving.

ABOUT THE AUTHOR

Sanjib Sinha

Author and Coder.

Learn more about Sanjib

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