# Trees-Discrete Mathematics-Lecture Slides

This lecture was delivered by Umar Faiz at Pakistan Institute of Engineering and Applied Sciences, Islamabad (PIEAS) for Discrete Mathematics course. It includes: Trees, Representation, Applications, Terminology, Binary, Traversal, Expression, Spa...

# Loop Invariants - Discrete Math - Lecture Slides

Some concept of Discrete Math are Unique Path, Addition Rule, Clay Mathematics, Complexity Theory, Correspondence Principle, Discrete Mathematics, Group Theory, Random Variable, Major Concepts. Main points of this lecture are: Loop Invariants, Sim...

# Graph Connectivity-Discrete Mathematics-Lecture Slides

This lecture was delivered by Umar Faiz at Pakistan Institute of Engineering and Applied Sciences, Islamabad (PIEAS) for Discrete Mathematics course. It includes: Graph, Connectivity, Path, Cycle, Undirected, Graphs, Connected, Component, Cut, Ver...

# Loop Invariants - Discrete Math - Lecture Slides

Some concept of Discrete Math are Unique Path, Addition Rule, Clay Mathematics, Complexity Theory, Correspondence Principle, Discrete Mathematics, Group Theory, Random Variable, Major Concepts. Main points of this lecture are: Loop Invariants, Sim...

# Without Loss of Generality - Discrete Mathematics - Lecture Slides

During the study of discrete mathematics, I found this course very informative and applicable.The main points in these lecture slides are:Without Loss of Generality, Positive Real Numbers, Exhaustive Proof, Proof by Cases, Existence Proof, Constru...

# Exhaustive Proof - Discrete Mathematics - Lecture Slides

During the study of discrete mathematics, I found this course very informative and applicable.The main points in these lecture slides are:Exhaustive Proof, Proof Methods and Strategy, Proof by Cases, Positive Integer, Proof by Exhaustion, Perfect...

# Trees-Discrete Mathematics-Lecture Slides

This lecture was delivered by Umar Faiz at Pakistan Institute of Engineering and Applied Sciences, Islamabad (PIEAS) for Discrete Mathematics course. It includes: Trees, Representation, Applications, Terminology, Binary, Traversal, Expression, Spa...

# Relations-Discrete Mathematics-Lecture Slides

This lecture was delivered by Umar Faiz at Pakistan Institute of Engineering and Applied Sciences, Islamabad (PIEAS) for Discrete Mathematics course. It includes: Relations, Representing, Functions, Set, Properties, Reflexivity, Irreflexive, Matrix

# Acyclic - Discrete Math - Lecture Slides

Some concept of Discrete Math are Unique Path, Addition Rule, Clay Mathematics, Complexity Theory, Correspondence Principle, Discrete Mathematics, Group Theory, Random Variable, Major Concepts. Main points of this lecture are: Acyclic, Nodes, Uniq...

# Addition Rule - Discrete Math - Lecture Slides

Some concept of Discrete Math are Unique Path, Addition Rule, Clay Mathematics, Complexity Theory, Correspondence Principle, Discrete Mathematics, Group Theory, Random Variable, Major Concepts. Main points of this lecture are: Addition Rule, Teeth...

# Ancient Wisdom - Discrete Math - Lecture Slides

Some concept of Discrete Math are Unique Path, Addition Rule, Clay Mathematics, Complexity Theory, Correspondence Principle, Discrete Mathematics, Group Theory, Random Variable, Major Concepts. Main points of this lecture are: Ancient Wisdom, Unar...

# Clay Mathematics - Discrete Math - Lecture Slides

Some concept of Discrete Math are Unique Path, Addition Rule, Clay Mathematics, Complexity Theory, Correspondence Principle, Discrete Mathematics, Group Theory, Random Variable, Major Concepts. Main points of this lecture are: Clay Mathematics, Co...

# Complexity Theory - Discrete Math - Lecture Slides

Some concept of Discrete Math are Unique Path, Addition Rule, Clay Mathematics, Complexity Theory, Correspondence Principle, Discrete Mathematics, Group Theory, Random Variable, Major Concepts. Main points of this lecture are: Complexity Theory, R...