Course Handout (Part II)
Second Semester 2008-09
In addition to Part I (General Handout for all courses appended to the time table) this portion gives further specific details regarding the course.
: MATH C192
: MATHEMATICS II
: BALRAM DUBEY
: Amit K Verma, Ashish Tiwari, Atasi Patra, Bhupendra K
Sharma, Devendra Kumar, Dilip K Maiti, Javid Ali, Mandeep
Singh, Nidhi Chaudhury, Pankaj Biswas, Preeti Dubey, Rajesh
Bhatt, Suresh Kumar
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. 3. Text Books:
(a) Elementary Linear Algebra by S. Andrilli and D. Hecker, 2nd edition, Elsevier. (b) Complex Variables and applications by R.V. Churchill and J.W. Brown, 7th edition, McGrawHill. 4. Reference Books:
(a) Linear Algebra: A First Course with Applications by Larry E. Knop, 1st Edition, Chapman & Hall.
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