Sets: basics, set operations; Functions: one-to-one, onto, inverse, composition, graphs;
Euclidean algorithm; Sequences and Summations; Mathematical reasoning: Proof
strategies, Mathematical Induction, Recursive definitions, Structural Induction; Counting:
basic rules, Pigeon Hall principle; Permutations and combinations, Binomial coefficients
and Pascal triangle. Relations: properties, Combining relations, Closures, Equivalence,
partial ordering; Graphs, directed, undirected graphs.
Numerical methods: interpolation, Least-Squares methods, numerical solutions to initial &
boundary value problems: Euler and Rung-Kutta methods, numerical differentiation and
integration, solution of non-linear algebraic equation. Applications using MATLAB.
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