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

Discrete Mathematical Algorithms and Data Structures-02-02.png

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

# Intersection of two lines

Write a Java code to check if the two lines $\overrightarrow AB$ and $\overrightarrow CD$ intersect. Return `true` if they intersect and `false` if they don’t. 

Check each point of both lines and their respective positions. The $A (x_1, y_1), B (x_2, y_2), C (x_3, y_3),$ and $D (x_4, y_4)$ points are shown in the illustration below.

> **Note:** Don’t worry if you need help. You can see the solution by clicking the “Show Solution” button.



Complete the intersection of lines challenge.


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

Challenge: Intersection of Lines

Intersection of two lines