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

In the Java Collections Framework, what superinterface does the `Collection` interface have?

In the Java Collections Framework, what superinterface does the <code>Collection</code> interface have?

Run the loop up to `n` to test only the even numbers as divisors.

Run the loop up to `n` to test only the odd numbers as divisors.

Run the loop up to the half of `n` to test each number as divisors.

Run the loop up to the square root of `n` to test each number as divisors.

What’s the most efficient way for primality verification of a very large number `n`?

What’s the most efficient way for primality verification of a very large number <code>n</code>?

The result of the `findPosition()` method

**(Select all that apply.)** What are the values defined in the class as data members to store a Cartesian point?


(Select all that apply.) What are the values defined in the class as data members to store a Cartesian point?

The `length()` method returns the current size.

The index operator (`[ ]`) is used to access individual elements.

The `add()` method is used to store a value.

The Lambda function `forEach()` can be used to access individual elements.

Which statement is *true* only for dynamic length lists in Dart?

Which statement is true only for dynamic length lists in Dart?

Test your knowledge of data structure fundamentals

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: Fundamentals of Data Structures