Embedded Files
Books
Resources
Week 1&2: Logic
Books
Propositional Logic
"Discrete Mathematics and its Applications" Pages#1-3.
"Schaum's Outline of Discrete Mathematics" Pages#70-72.
Truth Tables
"Discrete Mathematics and its Applications" Pages#4-6.
"Schaum's Outline of Discrete Mathematics" Pages#72-74.
Conditional Statements
"Discrete Mathematics and its Applications" Pages#6-8.
"Schaum's Outline of Discrete Mathematics" Pages#75-76.
Tautologies, Contradictions, and Contingencies
"Discrete Mathematics and its Applications" Pages#25.
"Schaum's Outline of Discrete Mathematics" Pages#74.
Logical Equivalence
"Discrete Mathematics and its Applications" Pages#25-30.
"Schaum's Outline of Discrete Mathematics" Pages#74-75.
Predicates and Quantifiers
"Discrete Mathematics and its Applications" Pages#36-52.
"Schaum's Outline of Discrete Mathematics" Pages#77-82.
Arguments
"Discrete Mathematics and its Applications" Pages#69-78.
"Schaum's Outline of Discrete Mathematics" Pages#76-77.
Nested Quantifiers
"Discrete Mathematics and its Applications" Pages#57-64.
Week 3&4: Sets, Functions, Sequences, Matrices
Websites
Books
Sets
"Discrete Mathematics and its Applications" Pages#115-125.
"Schaum's Outline of Discrete Mathematics" Pages#1-4, 10-11.
Set Operations
"Discrete Mathematics and its Applications" Pages#127-135.
"Schaum's Outline of Discrete Mathematics" Pages#4-10.
Functions
"Discrete Mathematics and its Applications" Pages#138-152.
"Schaum's Outline of Discrete Mathematics" Pages#43-48.
Sequences and Summations
"Discrete Mathematics and its Applications" Pages#156-167.
"Schaum's Outline of Discrete Mathematics" Pages#50-54.
Set Cardinality
"Discrete Mathematics and its Applications" Pages#170-176.
"Schaum's Outline of Discrete Mathematics" Pages#55-56.
Matrices
"Discrete Mathematics and its Applications" Pages#177-183.
"Schaum's Outline of Discrete Mathematics" Pages#410-422.
Week 5: Algorithms
Books
Growth of Functions
"Discrete Mathematics and its Applications" Pages#204-216.
"Schaum's Outline of Discrete Mathematics" Page#59.
Week 6: Number Theory
Books
Divisibility
"Discrete Mathematics and its Applications" Pages#237-240.
"Schaum's Outline of Discrete Mathematics" Pages#267-269.
Modular Arithmetic
"Discrete Mathematics and its Applications" Pages#240-244.
"Schaum's Outline of Discrete Mathematics" Pages#274-277.
Primes
"Discrete Mathematics and its Applications" Pages#257-258.
"Schaum's Outline of Discrete Mathematics" Pages#269-270.
Greatest Common Divisors and Least Common Multiples
"Discrete Mathematics and its Applications" Pages#265-267.
"Schaum's Outline of Discrete Mathematics" Pages#270-272.
The Euclidean Algorithm
"Discrete Mathematics and its Applications" Pages#267-269.
"Schaum's Outline of Discrete Mathematics" Pages#271-272.
GCDs As Linear Combinations
"Discrete Mathematics and its Applications" Pages#269-270.
Week 7: Mathematical Induction
Books
Mathematical Induction
"Discrete Mathematics and its Applications" Pages#311-329.
"Schaum's Outline of Discrete Mathematics" Pages#266-267.
Recursive Definitions
"Discrete Mathematics and its Applications" Pages#344-353.
"Schaum's Outline of Discrete Mathematics" Pages#52-55.
Week 8: Counting
Books
The Basics of Counting
"Discrete Mathematics and its Applications" Pages#385-395.
"Schaum's Outline of Discrete Mathematics" Pages#88-89.
The Pigeonhole Principle
"Discrete Mathematics and its Applications" Pages#399-405.
"Schaum's Outline of Discrete Mathematics" Page#94.
Permutations
"Discrete Mathematics and its Applications" Pages#407-409.
"Schaum's Outline of Discrete Mathematics" Pages#91-93.
Combinations
"Discrete Mathematics and its Applications" Pages#409-413.
"Schaum's Outline of Discrete Mathematics" Pages#93-94.
Binomial Coefficients and Identities
"Discrete Mathematics and its Applications" Pages#415-421.
"Schaum's Outline of Discrete Mathematics" Pages#90-91.
Generalized Permutations and Combinations
"Discrete Mathematics and its Applications" Pages#423-428.
Week 9: Advanced Counting Techniques
Books
Solving Linear Recurrence Relations
"Discrete Mathematics and its Applications" Pages#514-524.
"Schaum's Outline of Discrete Mathematics" Pages#111-117.
Principle of Inclusion-Exclusion
"Discrete Mathematics and its Applications" Pages#552-557.
"Schaum's Outline of Discrete Mathematics" Page#95.
Week 10&11: Relations
Websites
Books
Relations and Types of Relations
"Discrete Mathematics and its Applications" Pages#573-579.
"Schaum's Outline of Discrete Mathematics" Pages#23-25, 28-30.
Combining Relations
"Discrete Mathematics and its Applications" Pages#579-581.
"Schaum's Outline of Discrete Mathematics" Pages#27-28.
Representing Relations
"Discrete Mathematics and its Applications" Pages#591-596.
"Schaum's Outline of Discrete Mathematics" Pages#25-26.
Closure of Relations
"Discrete Mathematics and its Applications" Pages#597-601.
"Schaum's Outline of Discrete Mathematics" Pages#30-31.
Equivalence Relations and Partitions
"Discrete Mathematics and its Applications" Pages#607-614.
"Schaum's Outline of Discrete Mathematics" Pages#31-33.
Partial Ordering
"Discrete Mathematics and its Applications" Pages#618-620.
"Schaum's Outline of Discrete Mathematics" Page#33.
Week 12&13: Graph
Books
Graphs and Types of Graphs
"Discrete Mathematics and its Applications" Pages#641-665.
"Schaum's Outline of Discrete Mathematics" Pages#154-159, 162-164.
Representing Graphs
"Discrete Mathematics and its Applications" Pages#668-671.
"Schaum's Outline of Discrete Mathematics" Pages#171-172, 206-208.
Connectivity
"Discrete Mathematics and its Applications" Pages#678-689.
"Schaum's Outline of Discrete Mathematics" Pages#159-160.
Euler and Hamiltonian Graphs
"Discrete Mathematics and its Applications" Pages#693-701.
"Schaum's Outline of Discrete Mathematics" Pages#160-162.
Graph Coloring
"Discrete Mathematics and its Applications" Pages#727-732.
"Schaum's Outline of Discrete Mathematics" Pages#168-170.
Week 14: Trees
Books
Trees and Their Properties
"Discrete Mathematics and its Applications" Pages#745-755.
"Schaum's Outline of Discrete Mathematics" Pages#164, 204-206.
Spanning Tree
"Discrete Mathematics and its Applications" Pages#785-786.
"Schaum's Outline of Discrete Mathematics" Pages#164-165.
Minimum Spanning Tree
"Discrete Mathematics and its Applications" Pages#797-800.
"Schaum's Outline of Discrete Mathematics" Pages#165-166.
Week 15: Boolean Algebra
Books
Boolean Algebra and Identities
"Discrete Mathematics and its Applications" Pages#811-816.
"Schaum's Outline of Discrete Mathematics" Pages#368-370.
Duality
"Discrete Mathematics and its Applications" Page#816.
"Schaum's Outline of Discrete Mathematics" Page#369.
Sum-of-products Expression
"Discrete Mathematics and its Applications" Pages#819-821.
"Schaum's Outline of Discrete Mathematics" Pages#372-374.
Logic Gates and Logic Circuits
"Discrete Mathematics and its Applications" Pages#822-826.
"Schaum's Outline of Discrete Mathematics" Pages#377-381.
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