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    Subject Notes Illustration
    Subject Notes Illustration
    Course Code: GE-16767 Topics

    Discrete Structures

    Master key topics and exam concepts step by step. Track completed lessons, practice past papers, and access verified study notes.

    67
    Total Topics
    0
    Completed
    67
    Pending
    14
    Units / Chapters
    Chap 1:

    Mathematical Reasoning

    0/1 done1 topic
    01
    Propositional and Predicate Logic
    Chap 2:

    Propositional Logic

    0/3 done3 topics
    02
    Logical Operators
    03
    Translations Between Symbolic Expressions and Formal English Expression
    04
    Logical Equivalences
    Chap 3:

    Predicate Logic

    0/4 done4 topics
    05
    Quantifiers
    06
    Nested Quantification
    07
    Equivalences in Predicate Logic
    08
    Translations Between Symbolic Forms and Formal English
    Chap 4:

    Rules of Inference

    0/9 done9 topics
    09
    Proof Methods and Strategies
    10
    Direct Proof
    11
    Proof by Contraposition
    12
    Proof by Induction
    13
    Proof by Implication
    14
    Existence Proof
    15
    Uniqueness Proofs
    16
    Trivial Proofs
    17
    Vacuous Proofs
    Chap 5:

    Sets

    0/3 done3 topics
    18
    Notations and Set Operations
    19
    Venn Diagrams
    20
    Countable and Uncountable Sets
    Chap 6:

    Relations

    0/6 done6 topics
    21
    Equivalence Relations and Partitions
    22
    Partial Orderings
    23
    Recurrence Relations
    51
    Reflexive, Symmetric, Transitive, and Antisymmetric
    52
    Equivalence Relations and Equivalence Classes
    53
    Partial Orders
    Chap 7:

    Functions

    0/6 done6 topics
    24
    Injective, Surjective, Bijective
    25
    Special Types of Functions
    26
    Function Composition
    27
    Inverse Functions
    28
    Recursive Functions
    29
    Compositions
    Chap 8:

    Number Theory

    0/1 done1 topic
    30
    Sequences and Series
    Chap 9:

    Counting

    0/8 done8 topics
    31
    Inclusion and Exclusion Principle
    32
    Pigeonhole Principle
    33
    Permutations and Combinations
    46
    Product Rule and Sum Rule
    47
    Principle of Inclusion-Exclusion
    48
    Binomial Coefficients
    49
    Pascal's Identity and Pascal’s Triangle
    50
    Binomial Theorem
    Chap 10:

    Integers and Divisibility

    0/5 done5 topics
    34
    Division Theorem
    35
    Modular Arithmetic
    36
    LCM and GCD
    37
    Euclidean and Extended Euclidean Method
    38
    Finding Solutions to Congruence
    Chap 11:

    Primes

    0/3 done3 topics
    39
    Fundamental Theorem of Arithmetic
    40
    Characterizations of Primes
    41
    Mersenne Primes
    Chap 12:

    Induction

    0/2 done2 topics
    42
    Weak Induction
    43
    Strong Induction
    Chap 13:

    Recursion and Recurrences

    0/2 done2 topics
    44
    Formulation of Recurrences
    45
    Closed Formulas
    Chap 14:

    Graph Theory

    0/14 done14 topics
    54
    Terminologies
    55
    Elements of Graph Theory
    56
    Planar Graphs
    57
    Graph Coloring
    58
    Euler Graph
    59
    Hamiltonian Path
    60
    Rooted Trees
    61
    Graph Traversals
    62
    Handshaking Lemma and Corollary
    63
    Special Families of Graphs
    64
    Graph Isomorphism
    65
    Planarity in Graphs
    66
    Eulerian and Hamiltonian Graphs
    67
    Trees in Graph Theory

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