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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