Preview Engineering Mathematics - GATE/ESE

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01) Linear Algebra

1-a) Introduction to Matrix Algebra

1-b) Matrix Algebra

1-c) Inverse of Matrix

1-d) Rank of Matrix

1-e) System of Linear Equations

1-f) Eigen Values & Eigen Vectors

1-g) Problems on Linear Algebra

02) Calculus

2-a) Limits

2-b) Continuity & Differentiability

2-c) Continuity & Differentiability

2-d) Rolle's Theorem & Mean Value Theorem

2-e) Partial Differentiation

2-f) Maxima & Minima

2-g) Problems on Maxima & Minima

2-h) Basics of Integration

2-i) Problems on Integration

2-j) Introduction to Double Integral

2-k) Problems on Double Integral & Applications

2-l) Change of Variables

2-m) Introduction to Vector Calculus

2-n) Gradient and Directional Derivatives

2-o) Divergence and Curl

2-p) Line Integral and Green's Theorem

2-q) Surface & Volume Integral

2-r) Introduction to Differential Equations

2-s) Order, Degree & Formulation of O.D.E.

2-t) Linear Differential Equations

2-u) Homogenous & Non-Homogenous D.E.

2-v) Exact D.E.

2-w) Exact D.E.

2-x) Complimentary Function

2-y) Particular Integral

2-z) Partial Differential Equation

03) Probability and Statistics

3-a) Introduction to Probability

3-b) Advanced Problems on Probability

3-c) Basics of Statistics

3-d) Expected Value and Variance

3-e) Binomial & Poisson Distribution

3-f) Continous Distribution

3-g) Normal Distribution

04) Laplace Transformation

4-a) Laplace Transformation

05) Numerical Methods

5-a) Bisection, Regula-Falsi & Secant Method

5-b) Newton Raphson Method

5-c) Numerical Integration

5-d) Solution to Differential Equation

06) Complex Functions

6-a) Introduction to Complex Functions

6-b) Analytic Function & Cauchy- Reimann Equations

6-c) Complex Integration

6-d) Cauchy's Integral Formula

6-e) Residue and Residual Theorem

Preview - Engineering Mathematics - GATE/ESE