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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.

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Explanations

AI-POWERED

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This course includes

159 Playgrounds

12 Challenges

9 Quizzes

Course Overview

What You'll Learn

Course Content

Recommendations

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

Discrete mathematics is the basis of several popular algorithms. This course shows the discreteness of data structures and algor...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

An understanding of the relationship between discrete mathematics and programming

Course Content

Course Introduction

3 Lessons

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

5 Lessons

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

10 Lessons

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

11 Lessons

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

7 Lessons

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.

Abstract Data Type ArrayList

List Linked through Nodes

Collections Framework

Stack in Java

Queue in Java

Double-Ended Queue (Deque)

Quiz: Linear Data Structures

Challenge: Stack and Queue Classes

Tree, Algorithms, and Templates

15 Lessons

Build on algorithms, recursion, tree traversals, Java Collections, C++ templates, and practical challenges.

Algorithm Library

Recursive Algorithms

Iterative Solution of Recursive Problems

Lists, HashMap, HashSet, and TreeSet

Iterator, Comparator, and Comparable

The Standard Template Library in C++

Understanding the C++ Templates

List and Vector Templates in C++

Set and Map Templates in C++

Quiz: Tree, Algorithms, and Templates

Challenge: Conversion and Traversal

Time Complexity

5 Lessons

Sharpen your skills in understanding and optimizing the efficiency of algorithms.

Introduction to Time Complexity

Time Complexity as Number of Iterations

Big O Notation

Quiz: Time Complexity

Challenge: Swap and Sort

Propositional Logic

4 Lessons

Unpack the core of propositional logic, sets, and set operations, crucial in programming.

Sets and Propositional Logic

Symmetric Difference and Propositional Logic

Quiz: Set, Symmetric Difference, and Propositional Logic

Challenge: HashSet to TreeSet

10.

Combinatorics

4 Lessons

Examine combinatorial methods in permutations, combinations, and recursive algorithms for array challenges.

Permutation and Combination

Permutations with and without Repetition

Quiz: Combinatorics

Challenge: Permutation of an Array

11.

Wrapping Up

1 Lessons

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

Conclusion

Course Author

Sanjib Sinha

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