Introduction To Problem Solving, Programming

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Contents:
Basic model of computation, Notion of Algorithms, Principle of Mathematical Induction – Basics of functional programming, notion of types – Iterative versus recursive style – Correctness and efficiency issues in programming, time and space measures – Basics of imperative style programming – Assertions and loop invariants – Top down design and examples of step-wise refinement – Programming using structures, introduction to encapsulation and object oriented programming.
laboratory activities : Simple exercises and examples to introduce to student to the computing environment and usage of computers – Simple exercises and examples of functional programming – Examples of program correctness and experimental verification of efficiency and scaling – Simple imperative programming – A moderate size example of top down design, step-wise refinement and rapid prototyping to develop an imprative style modular program with structures.

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