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#### Topics

1.01 Powers and Roots of Exponential and Trigonometric Functions

1.02 Circular Functions of Complex Number and Hyperbolic Functions.Inverse Circular and Inverse Hyperbolic Functions. Logarithmic Functions.

1.03 Separation of Real and Imaginary Parts of All Types of Functions

1.04 Expansion of Sinn θ,Cosn θ in Terms of Sines and Cosines Of Multiples Of θ And Expansion of Sinnθ, Cosnθ In Powers of Sinθ, Cosθ

2.01 Types of Matrices and Rank of a Matrix

2.02 Solution of System Of Linear Algebraic Equations

3.01 Successive Differentiation

3.02 Partial Differentiation

3.03 Euler’S Theorem on Homogeneous Functions with Two and Three Independent Variables (With Proof)

4.01 Maxima and Minima of a Function of Two Independent Variables

4.02 Taylor’S Theorem and Taylor’S Series, Maclaurin’S Series

4.03 Fitting of Curves by Least Square Method for Linear, Parabolic, And Exponential

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Question paper for Applied Mathematics 1 2011 - 2012 Semester 1 (FE First Year) by University of Mumbai for the courses BE Mechanical Engineering, BE Automobile Engineering, BE Biomedical Engineering, BE Construction Engineering, BE Marine Engineering, BE Electronics Engineering, BE Production Engineering, BE IT (Information Technology), BE Instrumentation Engineering, BE Electronics and Telecommunication Engineering, BE Chemical Engineering, BE Printing and Packaging Technology, BE Biotechnology, BE Electrical Engineering, BE Computer Engineering, BE Civil Engineering.