Elementary Discrete Mathematics Made Simple
Published 4/2025
Created by Sadat Academy
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Level: Beginner | Genre: eLearning | Language: English | Duration: 69 Lectures ( 3h 44m ) | Size: 808 MB
Master sets, logic, proofs, combinatorics, and relations - the core of mathematical reasoning.
What you'll learn
Sets and Logic Understand the language of mathematics.
How to define and work with sets
The structure and truth of propositional logic
The depth of predicate logic, building a bridge toward rigorous reasoning
Proof and Recursion. You'll learn how to think like a mathematician.
The art of proofs, from direct to contrapositive
The elegance of recursion and how integers can be represented
Mastering sequences, sums, and understanding asymptotic behavior
A deep dive into proof by induction, a cornerstone in theoretical computer science
Combinatorics
Start with an introduction to combinatorics
Learn to differentiate between ordered and unordered samples
Unlock the power of multinomial coefficients
Apply your knowledge to basic probability theory
Relations
Use Boolean matrices to model relationships
Study relations, closures, and compositions
Understand equivalence relations and partial orders, key to classification and hierarchy in data structures
Requirements
Logical thinking - No formal logic experience required, but a willingness to think step-by-step is important.
Curiosity and persistence - Some topics can be abstract, so an open mind and a bit of patience will go a long way!
Basic algebra skills - You should be comfortable with high school-level algebra (e.g., manipulating equations, understanding variables and functions).
Description
Are you curious about the mathematical concepts that power computer science, logic, cryptography, and algorithm design? Whether you're a student starting your journey in computer science, a self-learner building a solid foundation, or a math enthusiast exploring new frontiers - this Elementary Discrete Mathematics course is designed to take you from the basics to deeper insights with clarity and structure.Why Take This Course?This course is modeled after a traditional university-level summer syllabus, but reimagined with flexibility and clarity for online learners. Through video lectures, thoughtfully designed problems, and a clear progression of topics, you'll gain a robust understanding of discrete math - the backbone of logical thinking and algorithmic reasoning. Each lecture includes a detailed PDF resource with the descriptions, formulas, and key takeaways of the lecture. But much more broadly, this course is intended to teach you to think mathematically. You may be a student who has never seen any math beyond calculus or algebra, or perhaps you dread doing math. The point of this course is to get you to learn to think deeply, communicate carefully, and not shy away from difficult material.As you proceed, have something to write with on hand. Work each example along with the course. Then, at the end of each chapter, work the exercises provided for you as PDFs. Some are more difficult than others, but are well worth doing to improve your understanding. Work along with someone at roughly your skill level, share solutions and ask each other questions.Whether you're preparing for computer science courses, diving into theoretical concepts, or strengthening your math fluency, this course equips you with the tools to think analytically and solve problems efficiently.Everyone can be a "math person!" So, let's get started.
Who this course is for
Undergraduate students in computer science, mathematics, engineering, or related fields taking or preparing for a discrete math course.
Aspiring developers who want a solid foundation in logic, proofs, and counting techniques essential for algorithms and programming.
Self-paced learners looking to strengthen their mathematical thinking without needing advanced prerequisites.
Curious minds interested in learning how formal logic, sets, and combinatorics work behind the scenes in tech and theory.
CS and tech interview candidates preparing for algorithm-heavy roles or graduate-level theoretical computer science.
Published 4/2025
Created by Sadat Academy
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Level: Beginner | Genre: eLearning | Language: English | Duration: 69 Lectures ( 3h 44m ) | Size: 808 MB
Master sets, logic, proofs, combinatorics, and relations - the core of mathematical reasoning.
What you'll learn
Sets and Logic Understand the language of mathematics.
How to define and work with sets
The structure and truth of propositional logic
The depth of predicate logic, building a bridge toward rigorous reasoning
Proof and Recursion. You'll learn how to think like a mathematician.
The art of proofs, from direct to contrapositive
The elegance of recursion and how integers can be represented
Mastering sequences, sums, and understanding asymptotic behavior
A deep dive into proof by induction, a cornerstone in theoretical computer science
Combinatorics
Start with an introduction to combinatorics
Learn to differentiate between ordered and unordered samples
Unlock the power of multinomial coefficients
Apply your knowledge to basic probability theory
Relations
Use Boolean matrices to model relationships
Study relations, closures, and compositions
Understand equivalence relations and partial orders, key to classification and hierarchy in data structures
Requirements
Logical thinking - No formal logic experience required, but a willingness to think step-by-step is important.
Curiosity and persistence - Some topics can be abstract, so an open mind and a bit of patience will go a long way!
Basic algebra skills - You should be comfortable with high school-level algebra (e.g., manipulating equations, understanding variables and functions).
Description
Are you curious about the mathematical concepts that power computer science, logic, cryptography, and algorithm design? Whether you're a student starting your journey in computer science, a self-learner building a solid foundation, or a math enthusiast exploring new frontiers - this Elementary Discrete Mathematics course is designed to take you from the basics to deeper insights with clarity and structure.Why Take This Course?This course is modeled after a traditional university-level summer syllabus, but reimagined with flexibility and clarity for online learners. Through video lectures, thoughtfully designed problems, and a clear progression of topics, you'll gain a robust understanding of discrete math - the backbone of logical thinking and algorithmic reasoning. Each lecture includes a detailed PDF resource with the descriptions, formulas, and key takeaways of the lecture. But much more broadly, this course is intended to teach you to think mathematically. You may be a student who has never seen any math beyond calculus or algebra, or perhaps you dread doing math. The point of this course is to get you to learn to think deeply, communicate carefully, and not shy away from difficult material.As you proceed, have something to write with on hand. Work each example along with the course. Then, at the end of each chapter, work the exercises provided for you as PDFs. Some are more difficult than others, but are well worth doing to improve your understanding. Work along with someone at roughly your skill level, share solutions and ask each other questions.Whether you're preparing for computer science courses, diving into theoretical concepts, or strengthening your math fluency, this course equips you with the tools to think analytically and solve problems efficiently.Everyone can be a "math person!" So, let's get started.
Who this course is for
Undergraduate students in computer science, mathematics, engineering, or related fields taking or preparing for a discrete math course.
Aspiring developers who want a solid foundation in logic, proofs, and counting techniques essential for algorithms and programming.
Self-paced learners looking to strengthen their mathematical thinking without needing advanced prerequisites.
Curious minds interested in learning how formal logic, sets, and combinatorics work behind the scenes in tech and theory.
CS and tech interview candidates preparing for algorithm-heavy roles or graduate-level theoretical computer science.
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