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Can you provide me the syllabus of Bachelor of Technology (Electrical & Electronics Engineering) Program as offered by IP University or Guru Gobind Singh Indraprastha University?
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The syllabus of Bachelor of Technology (Electrical & Electronics Engineering) Program as offered by IP University or Guru Gobind Singh Indraprastha University is as follows: Paper Code: ETMA-101 Paper: Applied Mathematics – I UNIT I COMPLEX NUMBERS AND INFINITE SERIES: De Moivre’s theorem and roots of complex numbers. Euler’s theorem, Logarithmic Functions, Circular, Hyperbolic Functions and their Inverses. Convergence and Divergence of Infinite series, Comparison test d’Alembert’s ratio test. Higher ratio test, Cauchy’s root test. Alternating series, Lebnitz test, Absolute and conditioinal convergence. UNIT II CALCULUS OF ONE VARIABLE: Successive differentiation. Leibnitz theorem (without proof) McLaurin’s and Taylor’s expansion of functions, errors and approximation. Asymptotes of Cartesian curves. Curveture of curves in Cartesian, parametric and polar coordinates, Tracing of curves in Cartesian, parametric and polar coordinates (like conics, astroid, hypocycloid, Folium of Descartes, Cycloid, Circle, Cardiode, Lemniscate of Bernoulli, equiangular spiral). Reduction Formulae for evaluating UNIT III 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. Caley – Hamilton theorem (without proof). UNIT IV ORDINARY DIFFERENTIAL EQUATIONS: First order differential equations – exact and reducible to exact form. Linear differential equations of higher order with constant coefficients. Solution of simultaneous differential equations. Variation of parameters, Solution of homogeneous differential equations – Canchy and Legendre forms.
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