Handout (2) - BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE...

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BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI INSTRUCTION DIVISION, SECOND SEMESTER 2012-2013 Course Handout (Part II) Dated: 07/01/2013 In addition to Part I (General Handout for all courses appended to the time table) this portion gives further specific details regarding the course. Course Number : MATH C192/MATH F112 Course Title : MATHEMATICS II Instructor-in-charge : DILIP K MAITI Instructors : Amit K Verma, Ashish Tiwari, Atasi Patra, Balram Dubey, Deepmala, Javid Ali, Mandeep Singh, Pankaj Biswas, Preeti Dubey, Rajesh Bhatt, Ram Awtar, Sangita Yadav, Trilok Mathur. 1. Scope and Objective of the Course: The course is meant as an introduction to Linear Algebra and Theory of Complex Variable Functions and their applications. Students are encouraged to study MATLAB’s capabilities for solving linear algebra problems given in the Text Book. 2. Course Description: System of linear equations, Eigenvalues and eigenvectors, Vector spaces, basis and dimension of vector spaces. Linear transformations, range and kernel. Orthogonality. Complex functions and their analyticity. Elementary complex functions. Complex integration. Taylor and Laurent series expansions. Calculus of residues and its applications.
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