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University of Pune-B.Tech 2nd Semester-Engineering Mathematics previous years question paper consist questions from following topics: Unit 1 (09 Hrs Matrices: Rank, Normal form, System of Linear Equations, Linear Dependence and Independence, Linear and Orthogonal Transformations. Eigen values, Eigen Vectors, Cayley – Hamilton Theorem. Application to problems in Engineering (Translation and Rotation of Matrix). Unit 2 (09 Hrs Complex Numbers & Applications: Argand’s Diagram, De'Moivre's theorem and its application to find roots of algebraic equations. Hyperbolic Functions, Inverse Hyperbolic Functions, Logarithm of Complex Numbers, Separation into Real and Imaginary parts, Application to problems in Engineering. Unit 3 (09 Hrs Infinite Series: Infinite Sequences, Infinite Series, Alternating Series, Tests for Convergence, Absolute and Conditional Convergence, Range of Convergence Differential Calculus: Successive Differentiation, Leibnitz Theorem. Unit 4 (09 Hrs Expansion of Functions: Taylor's Series and Maclaurin's Series Differential Calculus: Indeterminate Forms, L' Hospital's Rule, Evaluation of Limits. Unit 5 (09 Hrs) Partial Differentiation and Applications: Partial Derivatives, Euler's Theorem on Homogeneous Functions, Implicit functions, Total Derivatives, Change of Independent Variables Unit 6 (09 Hrs.) Jacobian: Jacobians and their applications. Errors and Approximations Maxima and Minima: Maxima and Minima of Functions of two variables, Lagrange's method of undetermined multipliers. PU B.Tech 2nd SEM EM Question paper ![]() ![]() ![]() ![]() Here is the attachment for question paper:
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