Bachelor of Science (MATHEMATICS)

ELIGIBILITY CRITERIA:
  • Passed H.S.C. Examination (Std XII) in Science conducted by the Maharashtra State Board of Higher Secondary Education or its equivalent in Science stream.
PASSING STANDARDS:
  • Internal Assessment :- min 10 out 25
  • Theory Paper :- min 30 out of 75
  • Total marks : min 40 out of 100
DOWNLOAD COURSE:
SYLLABUS:
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

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3
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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
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