CBCGS [2016 - current]

CBGS [2012 - 2015]

Old [2000 - 2011]

## Topics with syllabus and resources

1 Complex Numbers Old

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 Matrices and Numerical Methods Old

2.01 Solution of System Of Linear Algebraic Equations

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2.02 Types of Matrices and Rank of a Matrix

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3 Differential Calculus Old

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

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3.02 Partial Differentiation

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3.03 Successive Differentiation

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4 Application of Partial Differentiation, Expansion of Functions , Indeterminate Forms and Curve Fitting Old

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

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4.02 Maxima and Minima of a Function of Two Independent Variables

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

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5 Complex Numbers

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6 Logarithm of Complex Numbers , Successive Differentiation

6.01 Successive Differentiation

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6.02 Logarithm of Complex Numbers

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7 Matrices

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8 Partial Differentiation

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9 Applications of Partial Differentiation , Expansion of Functions

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10 Indeterminate Forms, Numerical Solutions of Transcendental Equations and System of Linear Equations

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