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BCS-012 is a 4-credit course that introduces the students to some basic mathematical concepts, tools and techniques, for solving problems, including determinants, matrices, sequences & series, vectors, three-dimensional geometry, Principle of Mathematical Induction and linear programming. The objective of the course is to make students capable of formulating problems in terms of the concepts and applying the tools and techniques to so-obtained formulations for solving the problems. The course is structured and developed in the form of four blocks, each block containing four units. Block 1 includes discussion of determinants, matrices and Principle of Mathematical Induction. In Block 2, sequences & series, complex numbers and methods for solving equations and inequalities are discussed. Introductory differential calculus & integral calculus and their applications constitute Block 3. Finally, vectors, 3-dimensional geometry and elements of linear programming are discussed in Block 4. The course material includes a number of solved examples for each topic followed by exercises. In order to have good grasp of the topics, the students should try to solve as many exercises as possible.

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