Mathematics
SEMESTER	SUBJECT	SUBJECT CODE	CREDIT POINTS
Sem I	Real Number System and Sequence of Real Numbers Sequences (contd.) Limits and Continuity	USMT101 UAMT101	3
	Integers and divisibility Functions and Equivalence relations Polynomials	USMT102	3
Sem II	Series Continuous functions and Differentiation Application of differentiation System of Linear Equation and Matrices Vector spaces Basis and Linear Transformation	USMT201 USMT202 UAMT201	3 3
Sem III	Riemann Integration Indefinite and improper integrals Applications Linear Transformations and Matrices Determinants Inner Product Spaces Preliminary Counting Advanced Counting Permutations and Recurrence relation	USMT 301 USMT 302 UAMT 301 USMT 303 UAMT 302	3 3
Sem IV	Groups and Subgroups Cyclic Groups and Cyclic Subgroups Lagrange's Theorem and Group homomorphism First order First degree Differential equations Second order Linear Differential equations Numerical Solution for Ordinary Differential Equations	USMT 401 USMT 402 UAMT 401 USMT 403 UAMT 402	3 3 3
Sem V	Riemann Integration Double and Triple Integrals Sequences and series of functions Quotient Space and Orthogonal Transformation Diagonalization and Orthogonal diagonalization Groups and subgroups Metric spaces Sequences Continuity Transcendental equations Polynomial and System of linear algebraic equations Eigenvalue problems Prime numbers and congruences Diophantine equations and their solutions Quadratic Reciprocity Basics of Graph Theory Spanning Tree Hamiltonian Graphs Probability as a Measure-Basics Absolutely continuous Probability measure, Random Variables Joint Distributions and Conditional Practicals based on USMT501/UAMT501 and USMT502/UAMT502 Practicals based on USMT503/UAMT503 and USMT5A4/UAMT5A4 OR USMT5B4/UAMT5B4 USMT5C4/UAMT5C4 OR Expectation PRACTICALS USMT5D4/UAMT5D4	USMT501 UAMT501 USMT502 UAMT502 USMT503 UAMT503 USMT5A4 UAMT5A4 USMT5B4 UAMT5B4 USMT5C4 UAMT5C4 USMT5D4 UAMT5D4 USMTP05 USMTP06 UAMTP06	2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 3 3 3
Sem-VI	Differential Calculus Differentiability Surface integrals Normal subgroups Ring theory Factorization Fourier Series Compactness Connectedness Interpolation Interpolation and Differentiation Numerical Integration Continued Fractions Pell's equation, Units and Primes Cryptography Colouring in a graph and Chromatic number Flow theory Combinatorics Limit Theorems in Probability, Financial Mathematics-Basics Forward and Futures Contract Options PRACTICALS Practicals based on USMT601/UAMT601 and USMT602/UAMT602 Practicals based on USMT603/UAMT603 and USMT6A4/UAMT6A4 OR USMT6B4/UAMT6B4 USMT6C4/UAMT6C4 OR USMT6D4/UAMT6D4	USMT601 UAMT601 USMT602 UAMT602 USMT603 UAMT603 USMT6A4 UAMT6A4 USMT6B4 UAMT6B4 USMT6C4 UAMT6C4 USMT6D4 UAMT6D4 USMTP07 UAMTP07 USMTP08 UAMTP08	2.5 2.5 2.5 2.5 2.5 2.5 2.5 3 3