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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