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
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
| 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 |
