What will you learn in Programming Discrete Math Concepts for Beginners Course
Understand how discrete mathematics underpins data structures and algorithm design
Translate mathematical concepts—Boolean algebra, logic expressions, set operations—into working code
Implement and manipulate fundamental data structures (arrays, linked lists, trees) using object-oriented principles
Analyze algorithmic complexity, apply binary tree traversals, and perform set-difference and string-rearrangement operations
Gain hands-on practice through quizzes and coding challenges in six different programming languages
Program Overview
Module 1: Course Introduction
⏳ 10 minutes
Topics: Foundations of discrete math in programming; relationship to algorithms and data structures
Hands-on: Explore how variables, expressions, and arrays emerge from mathematical principles
Module 2: Programming Languages & Boolean Algebra
⏳ 30 minutes
Topics: Logical operators, truth tables, short-circuit evaluation in code
Hands-on: Solve quizzes on grade-threshold and temperature logic using Boolean algebra
Module 3: Logical Expressions & Algorithms
⏳ 1 hour
Topics: De Morgan’s Laws, control constructs, Sieve of Eratosthenes, Euclid’s GCD, Quicksort
Hands-on: Implement and test each algorithm; quiz on logical expression transformations
Module 4: Arrays & Discrete Mathematics
⏳ 1 hour
Topics: Array manipulations, indexing math, sequence patterns, basic combinatorics
Hands-on: Complete challenges on array-based prime detection and set-difference operations
Module 5: Linear Data Structures & OOP
⏳ 1 hour
Topics: Class-based implementation of stacks, queues, and linked lists
Hands-on: Write and test methods for insertion, deletion, and traversal in multiple languages
Module 6: Trees & Traversals
⏳ 1 hour
Topics: Binary tree structure, pre-order, in-order, post-order traversals, recursive vs. iterative approaches
Hands-on: Build tree nodes and traversal functions; quiz on traversal order
Module 7: Complexity, Set Operations & Strings
⏳ 45 minutes
Topics: Big-O notation, set-difference algorithms, string-rearrangement techniques
Hands-on: Analyze algorithmic complexity and solve a string-shuffle coding challenge
Module 8: Review Quizzes & Coding Challenges
⏳ 1 hour
Topics: Consolidation of key concepts across modules
Hands-on: Complete 9 quizzes and 12 multi-language coding challenges to solidify learning
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Job Outlook
Proficiency in discrete math and algorithm implementation is essential for roles like Software Engineer, Data Scientist, and Systems Architect
Discrete math skills underpin work in fields such as cryptography, network design, and optimization—salaries range $90,000–$140,000+
Mastery of these foundations accelerates success in competitive coding interviews and advanced computer-science coursework
Specification: Programming Discrete Math Concepts for Beginners
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