Mô tả

WHAT IS THIS COURSE ABOUT?

Discrete Mathematics (DM), or Discrete Math is the backbone of Mathematics and Computer Science. DM is the study of topics that are discrete rather than continuous, for that, the course is a MUST for any Math or CS student. The topics that are covered in this course are the most essential ones, those that will touch every Math and Science student at some point in their education. The goal of this course is to build the mathematical foundation for computer science courses such as data structures, algorithms, relational and database theory, and for mathematics courses such as linear and abstract algebra, combinatorics, probability, logic and set theory, and number theory.

Discrete Mathematics gives students the ability to understand Math language and based on that, the course is divided into the following sections:

  1. Sets

  2. Logic

  3. Number Theory

  4. Proofs

  5. Functions

  6. Relations

  7. Graph Theory

  8. Statistics

  9. Combinatorics 

  10. and Sequences and Series


YOU WILL ALSO GET:

  1. Lifetime Access

  2. Q&A section with support

  3. Certificate of completion

  4. 30-day money-back guarantee


HOW IS IT DELIVERED?

I know visually seeing a problem getting solved is the easiest and the most direct way for a student to learn so I designed the course keeping this in mind. The materials are delivered through videos to make complex subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations or examples. The course is taught in plain English, away from cloudy, complicated mathematical jargon, to help the student learn the material rather than getting stuck on fancy words.


HOW DO I LEARN BETTER?

There are quizzes after each lecture so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content.

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10 sections

Sets

36 lectures
Intro
00:19
Definition of a Set
08:41
Quiz
3 questions
Number Sets
10:07
Quiz
3 questions
Set Equality
09:16
Quiz
3 questions
Set-Builder Notation
09:56
Quiz
3 questions
Types of Sets
11:49
Quiz
3 questions
Subsets
10:27
Quiz
3 questions
Power Set
05:06
Quiz
3 questions
Ordered Pairs
04:59
Quiz
3 questions
Cartesian Products
14:08
Quiz
3 questions
Cartesian Plane
03:38
Quiz
3 questions
Venn Diagrams
03:14
Quiz
3 questions
Set Operations (Union, Intersection)
14:35
Quiz
3 questions
Properties of Union and Intersection
10:16
Quiz
3 questions
Set Operations (Difference, Complement)
11:35
Quiz
3 questions
Properties of Difference and Complement
07:29
Quiz
3 questions
De Morgan’s Law
08:17
Quiz
3 questions
Partition of Sets
15:49
Quiz
3 questions
Extra Practice Problems
00:39

Logic

45 lectures
Introduction
00:22
Statements
07:13
Quiz
3 questions
Compound Statements
13:10
Quiz
3 questions
Truth Tables
09:20
Quiz
3 questions
Examples
13:03
Quiz
3 questions
Logical Equivalences
06:39
Quiz
3 questions
Tautologies and Contradictions
06:15
Quiz
3 questions
De Morgan’s Laws in Logic
11:34
Quiz
3 questions
Logical Equivalence Laws
03:23
Quiz
3 questions
Conditional Statements
12:58
Quiz
3 questions
Negation of Conditional Statements
09:31
Quiz
3 questions
Converse and Inverse
07:25
Quiz
3 questions
Biconditional Statements
08:46
Quiz
3 questions
Examples
11:50
Quiz
3 questions
Digital Logic Circuits
12:54
Quiz
3 questions
Black Boxes and Gates
15:18
Quiz
3 questions
Boolean Expressions
06:23
Quiz
3 questions
Truth Tables and Circuits
09:24
Quiz
3 questions
Equivalent Circuits
06:37
Quiz
3 questions
NAND and NOR Gates
07:12
Quiz
4 questions
Quantified Statements - ALL
07:36
Quiz
3 questions
Quantified Statements - THERE EXISTS
06:39
Quiz
3 questions
Negations of Quantified Statements
08:28
Quiz
3 questions

Number Theory

11 lectures
Introduction
00:35
Parity
12:43
Quiz
3 questions
Divisibility
10:45
Quiz
3 questions
Prime Numbers
08:03
Quiz
3 questions
Prime Factorization
08:33
Quiz
3 questions
GCD & LCM
17:23
Quiz
3 questions

Proofs

9 lectures
Intro
05:40
Terminologies
07:37
Direct Proofs
08:45
Proofs by Contrapositive
11:25
Proofs by Contradiction
17:16
Exhaustion Proofs
13:36
Existence & Uniqueness Proofs
15:57
Proofs by Induction
11:41
Examples
18:46

Functions

30 lectures
Intro
00:24
Functions
15:05
Quiz
3 questions
Evaluating a Function
12:29
Quiz
3 questions
Domains
15:56
Quiz
3 questions
Range
05:29
Quiz
3 questions
Graphs
15:53
Quiz
3 questions
Graphing Calculator
06:09
Extracting Info from a Graph
12:13
Quiz
3 questions
Domain & Range from a Graph
07:57
Quiz
3 questions
Function Composition
09:43
Quiz
3 questions
Function Combination
09:00
Quiz
3 questions
Even and Odd Functions
08:19
Quiz
3 questions
One to One (Injective) Functions
09:11
Quiz
3 questions
Onto (Surjective) Functions
06:50
Quiz
3 questions
Inverse Functions
10:11
Quiz
3 questions
Long Division
15:31
Quiz
3 questions

Relations

17 lectures
Intro
00:25
The Language of Relations
10:27
Quiz
3 questions
Relations on Sets
12:44
Quiz
3 questions
The Inverse of a Relation
06:05
Quiz
3 questions
Reflexivity, Symmetry and Transitivity
13:07
Quiz
3 questions
Examples
07:31
Quiz
3 questions
Properties of Equality & Less Than
07:48
Quiz
3 questions
Equivalence Relation
06:42
Quiz
3 questions
Equivalence Class
06:30
Quiz
3 questions

Graph Theory

35 lectures
Intro
00:28
Graphs
11:25
Quiz
3 questions
Subgraphs
08:32
Quiz
3 questions
Degree
09:52
Quiz
3 questions
Sum of Degrees of Vertices Theorem
23:22
Quiz
3 questions
Adjacency and Incidence
09:15
Quiz
3 questions
Adjacency Matrix
16:16
Quiz
3 questions
Incidence Matrix
08:04
Quiz
3 questions
Isomorphism
08:23
Quiz
3 questions
Walks, Trails, Paths, and Circuits
12:41
Quiz
3 questions
Examples
10:18
Quiz
3 questions
Eccentricity, Diameter, and Radius
06:47
Quiz
3 questions
Connectedness
20:03
Quiz
3 questions
Euler Trails and Circuits
17:44
Quiz
3 questions
Fleury’s Algorithm
10:15
Quiz
3 questions
Hamiltonian Paths and Circuits
05:46
Quiz
3 questions
Ore's Theorem
14:08
Quiz
3 questions
The Shortest Path Problem
12:58
Quiz
3 questions

Statistics

17 lectures
Intro
00:19
Terminologies
03:05
Quiz
3 questions
Mean
03:31
Quiz
3 questions
Median
03:11
Quiz
3 questions
Mode
03:02
Quiz
3 questions
Range
08:01
Quiz
3 questions
Outlier
04:18
Quiz
3 questions
Variance
09:25
Quiz
3 questions
Standard Deviation
04:14
Quiz
3 questions

Combinatorics

13 lectures
Intro
03:29
Factorials
07:46
Quiz
3 questions
The Fundamental Counting Principle
13:25
Quiz
3 questions
Permutations
12:50
Quiz
3 questions
Combinations
12:01
Quiz
3 questions
Pigeonhole Principle
06:10
Quiz
3 questions
Pascal's Triangle
08:20
Quiz
3 questions

Sequence and Series

14 lectures
Intro
00:19
Sequence
06:37
Quiz
3 questions
Arithmetic Sequences
12:19
Quiz
3 questions
Geometric Sequences
08:57
Quiz
3 questions
Partial Sums of Arithmetic Sequences
11:56
Quiz
3 questions
Partial Sums of Geometric Sequences
06:31
Quiz
3 questions
Series
12:32
Quiz
3 questions
Bonus Lecture
02:46

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