## Course Curriculum

#### B.Tech. First Semester (CE, CSE, ECE, EE, ME)

Mathematics I (M101) : Credit Points-4
Matrix and Determinant
Successive Differentiation
Mean Value Theorems & Expansion of Functions
Reduction Formula
Calculus of Functions of Several Variables
Infinite Series
Vector Algebra and Vector Calculus

#### B.Tech. Second Semester (CE, CSE, ECE, EE, ME)

Mathematics II (M201) : Credit Points-4
Ordinary Differential Equations of first order and first degree
Ordinary Differential Equations of higher order and first degree
Basics of Graph Theory and Trees
Improper Integrals
Laplace Transforms

#### B.Tech. Third Semester (ECE, EE)

Mathematics III (M302) : Credit Points-4
Fourier Series
Fourier Transform
Calculus of Complex Variable
Probability
Partial Differential Equation
Series solution of Ordinary Differential Equation

#### B.Tech. Third Semester (ECE, EE)

Numerical Methods (MCS301) : Credit Points-2
Approximation in numerical computation
Interpolation
Numerical integration
Numerical solution of a system of linear equations
Numerical solution of Algebraic equation
Numerical solution of ordinary differential equation

#### B.Tech. Third Semester (ECE, EE)

Numerical Methods Lab (MCS391) : Credit Points-1
Assignments on Newton forward /backward, Lagrange’s interpolation
Assignments on numerical integration using Trapezoidal rule, Simpson’s 1/3 rule, Weddle’s rule
Assignments on numerical solution of a system of linear equations using Gauss elimination and Gauss-Seidel
iterations
Assignments on numerical solution of Algebraic Equation by Regular-falsi and Newton Raphson methods
Assignments on ordinary differential equation: Euler’s and Runga-Kutta methods
Introduction to Software Packages: Matlab / Scilab / Labview / Mathematica

#### B.Tech. Fourth Semester (CE, ME)

Mathematics III (M402) : Credit Points-4
Fourier Series
Fourier Transform
Calculus of Complex Variable
Probability
Partial Differential Equation
Series solution of Ordinary Differential Equation

#### B.Tech. Fourth Semester (CSE)

Mathematics III (M401) : Credit Points-4
Theory of Probability and Statistics
Algebraic Structures

#### B.Tech. Fourth Semester (CE, CSE, ME)

Numerical Methods (MCS401) : Credit Points-2
Approximation in numerical computation
Interpolation
Numerical integration
Numerical solution of a system of linear equations
Numerical solution of Algebraic equation
Numerical solution of ordinary differential equation

#### B.Tech. Fourth Semester (CE, CSE, ME)

Numerical Methods Lab (MCS491) : Credit Points-1
Assignments on Newton forward /backward, Lagrange’s interpolation
Assignments on numerical integration using Trapezoidal rule, Simpson’s 1/3 rule, Weddle’s rule
Assignments on numerical solution of a system of linear equations using Gauss elimination and Gauss-Seidel
iterations
Assignments on numerical solution of Algebraic Equation by Regular-falsi and Newton Raphson methods
Assignments on ordinary differential equation: Euler’s and Runga-Kutta methods
Introduction to Software Packages: Matlab / Scilab / Labview / Mathematica

#### B.Tech. Fifth Semester (CSE)

Discrete Mathematics (CS503) : Credit Points-3
Mathematical Logic
POSet and Lattice Structures
Theory of Numbers
Combinatorics

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