1 LINEAR ALGEBRA
GATE STREAMS: XE, AE, AG, BM, BT, CE, CH, CS, EC, EE, ES, IN, MA, ME, MN, MT, NM, PE, PH, PI, ST, TF
Topic 1: Basics of Matrices
Topic 2: Types of Matrices Based on Virtue
Topic 3: Rank of a Matrix, Normal Form of a Matrix, Elementary Matrix
Topic 4: Vector Space
Topic 5: System of Equation
Topic 6: Eigen Values and Eigen Vector
Topic 7: Caley Hamilton Theorem
2 DIFFERENTIAL CALCULUS
GATE STREAMS: XE, AE, AG, BM, BT, CH, CS, EC, EE, ES, IN, MA, ME, MN, MT, PE, PI, TF
Topic 1: Limit
Topic 2: Differential
Topic 3: Continuity and Differentiability116
Topic 4: Mean Value Theorem
Topic 5: Application of Derivative
Topic 6: Partial Differentiation
3 INTEGRAL CALCULUS
GATE STREAMS: XE, AE, BM, CH, CS, EC, EE, ES, IN, MA, ME, NM, PE, PI, TF
Topic 1: Indefinite Integral
Topic 2: Definite Integral
Topic 3: Multiple Integral
4 VECTOR CALCULUS
GATE STREAMS: XE, AG, BM, CH, EC, EE, IN, MA, ME, MN, MT, NM, PE, PI
Topic 1: Vector Algebra
Topic 2: Vector Differentiation
Topic 3: Vector Integration
5 ORDINARY DIFFERENTIAL EQUATION
GATE STREAMS: XE, AE, AG, BM, BT, CH, EC, EE, ES, IN, MA, ME, MN, MT, NM, PE, PH, PI, TF
Topic 1: Formation of Differential Equation
Topic 2: Solution of Differential Equation of First Order
Topic 3: Solution of Second Order Differential Equations
6 PARITAL DIFFERENTIAL EQUATION
GATE STREAMS: XE, AE, AG, BM, CH, EC, EE, ES, IN, MA, ME, MT, NM, PE, PH, TF
Topic 1: First Order Partial Differential Equations
Topic 2: Second Order Partial Differential Equation
7 COMPLEX ANALYSIS
GATE STREAMS: XE, AE, BM, CH, EC, EE, IN, MA, ME, NM, PE, PH, PI
Topic 1: Complex Number
Topic 2: Analytic Function
Topic 3: Complex Integration
8 PROBABILITY AND STATISTICS
GATE STREAMS: XE, AE, AG, BM, BT, CH, CS, EC, EE, ES, GE, IN, MA, ME, MN, MT, NM, PH, TF
Topic 1: Fundamental of Probability
Topic 2: Conditional Probability
Topic 3: Statistics
Topic 4: Probability Distribution
Topic 5: Regression Analysis
9 NUMERICAL ANALYSIS
GATE STREAMS: XE, AE, AG, BM, BT, CH, IN, MA, ME, MN, MT, NM, PE, PI, TF
Topic 1: Transcendental Equation
Topic 2: Solution of System of Equation
Topic 3: Interpolation
Topic 4: Numerical Differentiation and Integration
Topic 5: Numerical Solution of First Order Differential Equations
10 TRANSFORMATION
GATE STREAMS: XE, AE, AG, BT, MA, NM, PH, PI
Topic 1: Laplace Transformation
Topic 2: Fourier Transform
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