Transcription of Mathematics
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Mathematics Semester 1 (AUG) UM 101: Analysis and Linear algebra I (3:0) One-variable calculus: Real and Complex numbers; Convergence of sequences and series; Continuity, intermediate value theorem, existence of maxima and minima; Differentiation, mean value theorem, Taylor series; Integration, fundamental theorem of Calculus, improper integrals. Linear algebra : Vector spaces (over real and complex numbers), basis and dimension; Linear transformations and matrices. Instructor: A. Ayyer Suggested books: 1. T M Apostol, Calculus, Volume I, 2nd. Edition, Wiley, India, 2007. 2. G. Strang, Linear algebra And Its Applications, 4th Edition, Brooks/Cole, 2006. Semester 2 (JAN) UM 102: Analysis and Linear algebra II (3:0) Linear algebra continued: Inner products and Orthogonality; Determinants; Eigenvalues and Eigenvectors; Diagonalisation of Symmetric matrices.
UM 203: Elementary Algebra and Number Theory (3:0) (core course for Mathematics major and minor) Divisibility and Euclid's algorithm, Fundamental theorem of …
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