LINEAR AND DISCRETE MATHEMATICS (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: explain basics concepts of logic, methods of proof, relation, set theory and function; Compute the number theory, counting and probability problems; apply the Theory of graph, tree and matrices for real problems; solve the system of linear equation, determinant, inverse, vector, and eigenvalue problems.

Topics:

1. The Logic of Compound and Quantitative Statements;
2. Number Theory;
3. Methods of Proof;
4. Set Theory and Function;
5. Relation;
6. Counting and Probability;
7. Graph and Trees;
8. Matrices;
9. Systems of Linear Equation;
10. Determinant and Inverse;
11. Vector;
12. Eigenvalues and Eigenvectors;
13. Applications of Linear Algebra.