Subjects

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Assignment of Credits

One (01) credit is equal to thirty (30) hours of the learners and for all UG (Under Graduate)

These hours are divided into two parts, one is half of the hours actually spent in class room /

practical / field work instructions and approximately half of the hours spent for self-study in

library, institutions or at home, case study, writing of journal and assignments, projects etc.

by the learners him/herself for the completion of that course.

Class: F.Y.B.Com.

Semester-I

Mathematical and Statistical Techniques-I
Course Code	UNIT	TOPICS	Credits	L/Week	T/week/batch
	Part A: Mathematical Techniques		3	5	5
UBCOMFSI.6	I	Share and Mutual Funds
	II	Permutations, Combination and Linear Programming Problem
	Part A: Statistics
	III	Summarization Measures
	IV	Elementary Probability Theory
	V	Decision Theory

Semester-II

Mathematical and Statistical Techniques-II
Course Code	UNIT	TOPICS	Credits	L/Week	T/week/batch
	Part A: Mathematical Techniques		3	5	5
UBCOMFSII.6	I	Functions, Derivatives and their Application
	II	Interest and Annuity
	Part A: Statistics
	III	Bivariate Linear Correlation and Regression
	IV	Time Series and Index Numbers
	V	Elmentary Probability Distributions

F. Y. B. Sc. (CBCS) SEMESTER I

CALCULUS I
Course Code	UNIT	TOPICS	Credits	L/Week
USMT 101	I	Real Number System	2	3
	II	Sequences in R
	III	First Order First Degree Differential Equations
ALGEBRA I
USMT 102	I	Integers and Divisibility	2	3
	II	Functions, Relations and Binary Operations
	III	Polynomials
PRACTICALS
USMTP01	–	Practical’s based on USMT101, USMT102	2	2/Batch

F. Y. B. Sc. (CBCS) SEMESTER II

CALCULUS II
Course Code	UNIT	TOPICS	Credits	L/Week
USMT 201	I	Limits and Continuity	2	3
	II	Differentiability of functions
	III	Applications of Differentiability
DISCRETE MATHEMATICS
USMT 202	I	Preliminary Counting	2	3
	II	Advanced Counting
	III	Permutations and Recurrence Relation
PRACTICALS
USMTP02	–	Practical’s based on USMT201,	2	2/Batch

S. Y. B. Sc. (CBCS) SEMESTER III

Course Code	UNIT	TOPICS	Credits	L/Week
USMT 301, UAMT 301	I	Infinite Series	2	3
	II	Riemann Integration
	III	Applications of Integrations and Improper Integrals
Linear Algebra I
USMT 302 ,UAMT 302	I	System of Equations and Matrices	2	3
	II	Vector Spaces over IR
	III	Determinants, Linear Equations (Revisited)
Ordinary Differential Equations
USMT 303	I	Higher Order linear Differential Equations	2	3
	II	Systems of First Order Linear differential equations
	III	Numerical Solutions of Ordinary Differential Equations
PRACTICALS
USMTP03		Practical’s based on USMT301, USMT 302 and USMT 303	3	5/batch
UAMTP03		Practical’s based on UAMT301, U	2	4

Multivariable Calculus I
Course Code	UNIT	TOPICS	Credits	L/Week
USMT 401, UAMT 401	I	Functions of several variables	2	3
	II	Differentiation of Scalar Fields
	III	Applications of Differentiation of Scalar Fields and Differentiation of Vector Fields
Linear Algebra II
USMT 402 ,UAMT 402	I	Linear transformation, Isomorphism, Matrix associated with L.T.	2	3
	II	Inner product spaces
	III	Eigen values, eigen vectors, diagonalizable matrix
Numerical methods (Elective A)
USMT 403A	I	Solutions of algebraic and transcendental equations	2	3
	II	Interpolation, Curve fitting, Numerical integration
	III	Solutions of linear system of Equations and eigen value problems
Statistical methods and their applications (Elective B)
USMT 403B	I	Descriptive Statistics and random variables	2	3
	II	Probability Distribution and Correlation
	III	Inferential Statistics
PRACTICALS
USMTP04		Practicals based on USMT401, USMT 402 and USMT 403	3	5/batch
UAMTP04		Practical’s based on UAMT401, UAMT 402	2	4

Vacancies