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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momoexp4.tar.gz

java and C++

OnlyPython

OnlyJava

OnlyCplusplus

OnlyC

JavaLang3

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

# Introduction to the collections framework

Every programming language has its own collections framework. For brevity, in this lesson, we’ll use two programming languages: Java and C++. However, the core ideas are the same and have been widely implemented in every language.

It’s an enormous responsibility to organize data structures and arrange the necessary algorithms to do every kind of operation possible to make an application run successfully. If we get busy in low-level plumbing to organize the data structures using the necessary algorithm from scratch, we can’t concentrate on the other vital parts of our programs. A collections framework helps us eliminate that heavy load of low-level plumbing, which is why every popular high-level programming language has its own collections framework.

As far as Java is concerned, a collections framework, as a unified structure, consists of three core parts: interfaces, implementations, and algorithms. 


Learn about the collections framework and its presence 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

Collections Framework

Introduction to the collections framework