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.

Beginner

73 Lessons

13h

Certificate of Completion

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

AI-POWERED

Explanations

AI-POWERED

Explanations

This course includes

159 Playgrounds

12 Challenges

9 Quizzes

This course includes

159 Playgrounds

12 Challenges

9 Quizzes

Course Overview

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 o...Show More

What You'll Learn

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

What You'll Learn

An understanding of the relationship between discrete mathematics and programming

Course Content

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

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

Coding De Morgan’s Laws Logical Expression and Short-Circuit Evaluation Syntax, Semantics, and Conditional Execution Why We Need Control Constructs Improving an Algorithm The Sieve of Eratosthenes Algorithm Euclid Algorithm The Quicksort Algorithm Quiz: Logical Expressions and Algorithms Challenge: De Morgan's Laws and Primes

Arrays and Discrete Mathematics

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

Mean, Median, and Mode Fundamentals of Arrays Array Manipulation Expanded Array Manipulation Sets and Arrays Probability and Arrays Central Tendency of an Array Max n Values in Array Array Rotations Quiz: Arrays and Discrete Mathematics Challenge: Array rotation

Classes, Objects, and Methods

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

Abstractions and Implementations Interactions between Objects Optimizing the Algorithm Cartesian Point Class Memory Matters Quiz: Fundamentals of Data Structures Challenge: Intersection of Lines

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

1 Lesson

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

Solving Sudoku and the 8-Queens Puzzle as Constraint Satisfaction

Project

Course Author

Trusted by 1.4 million developers working at companies

Anthony Walker

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Emma Bostian 🐞

@EmmaBostian

Evan Dunbar

ML Engineer

Carlos Matias La Borde

Software Developer

Souvik Kundu

Front-end Developer

Vinay Krishnaiah

Software Developer

Eric Downs

Musician/Entrepeneur

Kenan Eyvazov

DevOps Engineer

Anthony Walker

@_webarchitect_

Emma Bostian 🐞

@EmmaBostian

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