NUMERICAL METHOD USING C (Optional Paper)

The history of C, The C standard library, Structured Programming, the basics of a typical C program Development Environment. Introduction to ‘C’ programming: Introduction, A Simple C program, Memory Concepts, Arithmetic in C, Structured Program Development in C: Introduction, Control structures, relational operator, the if selection structure, The if/else selection structure, goto statement. Operators and Expressions: Arithmetic, Logical, Assignment, Increment and Decrement, Evaluation, Precedence and Associatively of expressions.

Structured Program Development in C: The while repetition structure, Counter Controlled Repetition, Sentinel Controlled Repetition, Nested control structures. C Program control: Introduction, Essentials of repetition, Counter controlled repetition, for repetition structure, for structure.
 

C Program control: The switch multiple selection structure, the do/while repetition structure, the
break and continue statements. C Functions (Non-Recursive): Introduction, Program Modules in C, Math Library Functions, Functions, Functions Definitions, Function Prototypes, Header Files, Calling Functions C Arrays: Declaring Arrays, Passing Arrays to Functions
 

Solution of Algebraic and Transcendental Equations using C: Bisection Method, Method of False Position, Newton-Raphson Method.
 

Solution of a linear systems AX = B; Gauss’s Elimination method, Gauss-Jordan method, Jacobi Iteration Method, Gauss-Seidel Iteration Method.