Master Discrete Math 2020: More Than 5 Complete Courses In 1
Learn Discrete Mathematics In This Course: 300+ Lectures/Quizzes And 30 Assignments With 500+ Questions & Solutions
4.47 (463 reviews)
24,105
students
16 hours
content
Jun 2020
last update
$74.99
regular price
What you will 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
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1765308
udemy ID
6/25/2018
course created date
5/28/2020
course indexed date
Angelcrc Seven
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