Welcome to Discrete Mathematics 1, a course introducing Set Theory, Logic, Functions, Relations, Counting, and Proofs. Below, you will find the videos of each topic presented. If you have any suggestions or would like more practice on a certain topic, please send your suggestions to contact@trevtutor.com
Lectures
Set Theory
Cartesian Products
Subsets and Power Sets
Set Operations
Indexed Sets and Well Ordering Principle
Logic
Truth Tables
Truth Table Proofs
Logic Laws
Conditionals, Converses, Inverses, Contrapositives
Rules of Inference
Quantificational Logic
Counting
Factorials and Permutations
Permutation Practice
Combinations
Binomial Theorem, Pascal’s Triangle
Combinations with Repetition
Permutations and Combinations Practice
Proof Techniques
Relations and Functions
Partial Orders
Introduction to Functions
Injections, Surjections, Bijections, Inverses
Number Theory and Formal Language
Divisibility
Modular Arithmetic
Primes and GCD
Euclidian Algorithm
Formal Languages
Finite State Machines
Additional Exercise Videos
Set Theory
Cartesian Products
Set Operations
Sets and Subsets
Subsets and Power Sets
Symmetric Difference
Logic
Conditionals
Exclusive Or
Logic Laws
Logic Laws 2
Negating Quantifiers and Translation
Quantifiers and Unique Quantifiers
Sheffer Stroke
Statement Identification and Translation
Truth Tables
Counting
Combinations with Repetition
Permutations
Permutations and Combinations
Rule of Sum and Rule of Product
Proof Techniques
Direct Proofs
Mathematical Induction
Mathematical Induction 2 (Derivatives and Matrices)
Pigeonhole Principle
Proof by Cases
Relations and Functions
Functions
Inverse Functions
Inverse Functions 2
Relations
Surjective Functions
Number Theory and Formal Languages
Congruency Proofs
Divisibility
Euclidean Algorithm and GCDs
Finite State Automata
Floor and Ceiling
Formal Languages
Exams and Worksheets
Discrete Math 1 – Midterm 1
Discrete Math 1 – Midterm 1 Solutions
Discrete Math 1 – Midterm 1 Video Solutions
Discrete Math 1 – Midterm 2
Discrete Math 1 – Midterm 2 Solutions
Discrete Math 1 – Midterm 2 Video Solutions
Discrete Math 1 – Final
Discrete Math 1 – Final Solutions
Very useful website, Now i know where to study discrete maths from 🙂
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Thanks for your support.
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thanks. you really helped me
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Hey I just finished 2nd lecture of Discrete Mathematics Part 1 … I would say great work. You have pretty great teaching talent ! Keep it up !
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Can you please update some tree’s problem to the final practice exam?
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Indeed, you have done a great job.
Suggestion: Please write about the prerequisites below the course content.
Otherwise what are the prerequisites for discrete mathematics 1 and Linear Algebra.
Thanks a tan for your tireless effort.
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The first course in each list requires no pre-reqs. Just need some basic high-school math.
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This is going to be great help to learn a lot of this stuff before I take Discrete in the fall semester in college. Discrete will be the hardest math class in the fall so these videos are a great help before I learn it,cause most of my time will be spent understanding Discrete cause I have many other classes to worry about that will be on the easier side like Calc and physics. Thanks for you help your videos make sense and you are a great tutor.
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Your videos are literally what I go to after every DM lecture. You are getting me through this class!! My prof is a mathematician and all, but teaching is not his strong point. Soooo cheers!!! 😀
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you are better than my dumb tutor.
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You are awesome! Very useful materials.
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you’ve make this course easy 4 me. Thanks 4 all your Time and Effort God bless.
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Hi i have a question can you give me a solution for that i didnot understand.
here is the question:
If a function is bijective then it is both injective and surjective explain why we need both definitions of injective and surjective with examples of your own(you can have more than one).
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