Master Discrete Math 2020: Complete Basic-To-Advanced Course [Free Online Course] - TechCracked

Learn Discrete Mathematics In This Course: 300+ Lectures/Quizzes And 30 Assignments With 500+ Questions & Solutions

This course includes:

• 16 hours on-demand video
• 125 downloadable resources
• Full lifetime access
• Access on mobile and TV
• Assignments
• Certificate of completion

What you'll learn

• Analyze and interpret the truth value of statements by identifying logical connectives, quantification and the truth value of each atomic component
• Distinguish between various set theory notations and apply set theory concepts to construct new sets from old ones
• Interpret functions from the perspective of set theory and differentiate between injective, surjective and bijective functions
• Construct new relations, including equivalence relations and partial orderings
• Apply the additive and multiplicative principles to count disorganized sets effectively and efficiently
• Synthesize counting techniques developed from counting bit strings, lattice paths and binomial coefficients
• Formulate counting techniques to approach complex counting problems using both permutations and combinations
• Prove certain formulas are true using special combinatorial proofs and complex counting techniques involving stars and bars
• Connect between complex counting problems and counting functions with certain properties
• Develop recurrence relations and closed formulas for various sequences
• Explain various relationships and properties involving arithmetic and geometric sequences
• Solve many recurrence relations using polynomial fitting
• Utilize the characteristic polynomial to solve challenging recurrence relations
• Master mathematical induction and strong induction to prove sophisticated statements involving natural numbers by working through dozens of examples
• Use truth tables and Boolean Algebra to determine the truth value of complex molecular statements
• Apply various proving techniques, including direct proofs, proof by contrapositive and proof by contradiction to prove various mathematical statements
• Analyze various graphs using new definitions from graph theory
• Discover many various properties and algorithms involving trees in graph theory
• Determine various properties of planar graphs using Euler's Formula
• Categorize different types of graphs based on various coloring schemes
• Create various properties of Euler paths and circuits and Hamiltonian paths and cycles
• Apply concepts from graph theory, including properties of bipartite graphs and matching problems
• Use generating functions to easily solve extremely sophisticated recurrence relations
• Develop a deep understanding of number theory which involve patterns in the natural numbers

Description

MASTER DISCRETE MATH 2020 IS SET UP TO MAKE DISCRETE MATH EASY:

This 461-lesson course includes video and text explanations of everything from Discrete Math, and it includes 150 quizzes (with solutions!) after each lecture to check your understanding and an additional 30 workbooks with 500+ extra practice problems (also with solutions to every problem!), to help you test your understanding along the way.

This is the most comprehensive, yet straight-forward, course for Discrete Mathematics on Udemy! Whether you have never been great at mathematics, or you want to learn about the advanced features of Discrete Math, this course is for you! In this course we will teach you Discrete Mathematics.

Master Discrete Math 2020 is organized into the following 24 sections:

• Mathematical Statements
• Set Theory
• Functions And Function Notation
• Relations
• Additive And Multiplicative Principles
• Binomial Coefficients
• Combinations And Permutations
• Combinatorial Proofs
• Advanced Counting Using The Principle Of Inclusion And Exclusion
• Describing Sequences
• Arithmetic And Geometric Sequences
• Polynomial Fitting
• Solving Recurrence Relations
• Mathematical Induction
• Propositional Logic
• Proofs And Proving Techniques
• Graph Theory Definitions
• Trees
• Planar Graphs
• Coloring Graphs
• Euler Paths And Circuits
• Matching In Bipartite Graphs
• Generating Functions
• Number Theory

Also See : Discrete Mathematics: The Complete 7 Chapter Course

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