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#### Topics

1.01 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

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

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

1.04 Powers and Roots of Exponential and Trigonometric Functions

2.01 Solution of System Of Linear Algebraic Equations

2.02 Types of Matrices and Rank of a Matrix

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

3.02 Partial Differentiation

3.03 Successive Differentiation

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

4.02 Maxima and Minima of a Function of Two Independent Variables

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

6.01 Successive Differentiation

6.02 Logarithm of Complex Numbers

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