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

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java and C++

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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.

Programming Discrete Math Concepts for Beginners

In Boolean algebra, how many operations can we perform? 

In Boolean algebra, how many operations can we perform?

Will `true && false` come out as `false` in the truth table?

Will <code>true &amp;&amp; false</code> come out as <code>false</code> in the truth table?

The programming language that deals with discrete mathematics


The programming language that comprises certain commands or instructions for computers to perform certain tasks, producing various outputs

What’s an imperative programming language?

What’s an imperative programming language?

The common relationship is that they both deal with Boolean algebra.

A program should either build successfully or fail miserably. 


What’s the relationship between procedural programming and discrete mathematics? 

What’s the relationship between procedural programming and discrete mathematics?

**(True or False)** Children develop their logical experience through observation and actions. This is true for mathematics as well.

(True or False) Children develop their logical experience through observation and actions. This is true for mathematics as well.

Test your knowledge of using Boolean algebra in programming languages.

Course Introduction

Programming Language and Boolean Algebra

Logical Expressions and Algorithms

Arrays and Discrete Mathematics

Classes, Objects, and Methods

Linear Data Structures

Tree, Algorithms, and Templates

Time Complexity

Propositional Logic

Combinatorics

Wrapping Up

Solving Sudoku and the 8-Queens Puzzle as Constraint Satisfaction

Quiz: Programming Language and Boolean Algebra