Course Info
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Course Category
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Mathematics
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Course Level
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Undergraduate
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Credit Hours
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3
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Pre-requisites
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N/A
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Instructor
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Dr. Shoaib-ud- Din
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Course Contents
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Introduction to Logic and its Application
Introduction to Set theory and its related concepts, Graphical representation of sets through Venn diagram and its Application
Relations their types and representation of relations through matrices and diagrams(arrow, coordinate etc)
An introduction to functions, types, composition and inverse
Sequence& Series and their types along with their applications
Introduction to Recursion and recursively defined functions
Principle of Mathematical Induction and its Applications
Methods of proof including direct proof and indirect proof, Classification of indirect proof by using contraposition and contradiction
Introduction to Algorithm, its pre and post conditions and loop invariant with the description of Division Algorithm
Combinatorics including K-sample, K-selection, K-Permutation and K-Combination
Tree diagram and some related concepts like inclusion exclusion principle, pigeon hole principle and their application
Introduction to Probability theory related laws, theorems and application
Random Variable and related concepts including probability distribution, expected value and variance
Introduction to Graphs with the description of path and circuits, planar graphs, matrix representation and Isomorphism of graphs
Trees, Spanning Trees and its related algorithms
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