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The student will have to present the progress of the work through seminars and progress reports.
The student will have to present the progress of the work through seminars and progress reports. 1, rest of the paper shall consist of four units as per the syllabus. However, student may be asked to attempt only 1 question from each unit. COMPLEX NUMBERS AND INFINITE SERIES: De Moivres theorem and roots of complex numbers.
Reduction Formulae for evaluating LINEAR ALGEBRA MATERICES: Rank of matrix, Linear transformations, Hermitian and skeew Hermitian forms, Inverse of matrix by elementary operations.
Consistency of linear simultaneous equations, Diagonalisation of a matrix, Eigen values and eigen vectors. ORDINARY DIFFERENTIAL EQUATIONS: First order differential equations exact and reducible to exact form.
Eulers theorem, Logarithmic Functions, Circular, Hyperbolic Functions and their Inverses.