First Semester

Core course-1

MATH101TH

MATH101IA

Differential Calculus

6

70

30

100

3

Ability Enhancement Course – I (Compulsory)

English/Hindi(Communication) Environmental Science

4

80

20

100

3

Total

10

200

Second semester

Core course-2

MATH201TH

MATH201IA

Differential Equations

6

70

30

100

3

Ability

Enhancement

Course-2

(Compulsory)

English/Hindi(Communication) Environmental Science

4

80

20

100

3

Total

10

200

Third semester

Core course-3

MATH101TH

MATH101IA

Real Analysis

6

70

30

100

3

SEC-I

MATH302TH

OR

MATH303TH

OR

MATH304TH

Logic And Sets

OR

Analytical Geometry

OR

Integral Calculus

4

70

30

100

3

Total

10

200

Fourth Semester

Core course-4

MATH401TH

MATH401IA

Algebra

6

70

30

100

3

Skill Enhancement Course -2

MATH402TH

OR

MATH403TH

OR

MATH404TH

Vector Calculus

Or

Theory of Equations

Or

Number Theory

4

70

30

100

3

Total

10

200

Fifth semester

Discipline Specific elective Course-1

MATH501TH

OR

MATH502TH

OR

MATH503TH

Matrices

OR

Mechanics

OR

Linear  Algebra

6

70

30

100

3

Skill Enhancement Course -3

MATH504TH

OR

MATH505TH

OR

MATH506TH

Mathematical Finance

OR

Mathematical

Modeling

4

70

30

100

3

Total

10

200

Sixth Semester

Discipline Specific elective Course-2

MATH601TH

Or

MATH602TH

Or

MATH603TH

Numerical Methods

OR

Complex Analysis

OR

Linear programming

6

70

30

100

3

Skill Enhancement Course -4

MATH604TH

MATH605TH

OR

MATH606TH

Boolean Algebra

OR

Transportation And

Game Theory

OR

Graph  Theory

4

70

30

100

3

Total

10

200

MATH101TH 

CORE COURSE-1

 Differential calculus

·      Use of e - δ definition to find the limits and continuity of functions.

·      Study relationship between continuation and differentiation.

·      Able to understand the  idea of limits of functions by  L- hospitals rule

·      Learn the proofs of general theorem and their geometrical consequences.

·      Learns the notation of concavity convexity asymptotes.

·      Are able to trace the curves in polar and rectangular coordinates.

·      Understands the concepts of limit and continuity of functions of several variables.

·      Are able to convert Cartesian to polar coordinates and vice versa.

·      Learn the proof and applications of Euler’s theorem on homogeneous functions

·      Are able to calculate Jacobeans’.

Ability Enhancement

Compulsory Course -I

English/Hindi(Communication)/Environmental Science

These courses are the courses based upon the content that leads to Knowledge enhancement. And are value-based and/or skill-based and are aimed at providing hands-on-training, competencies, skills etc. in English and/Hindi and Environment science.

MATH201TH

CORE COURSE -2 

Differential equations

·      Understands basic definitions and terminology associated with ordinary differential equations.

·      Learn rules to find integrating factors.

·      Distinguish between linear and non linear, ordinary and partial differential equations.

·      Recognize and solve homogeneous and non homogeneous equations by different methods

·      Students are able to apply the methods of variation of parameters and reduction of order.

·      Use working to determine linear dependence and linear independent of functions.

·      Learns to solve Cauchy Euler’s equations.

·      Learn the concepts of total differential equations.

·      Can form partial differential equations of first order and use Langrange’s methods to solve partial differential equations.

·      Are able to find solutions of partial differential equations by Charpit’s method.

·      Learn to classify second order partial differential equation through lustration only.

Ability Enhancement

Compulsory Course -II

English/Hindi(Communication)/Environmental Science

These courses are the courses based upon the content that leads to Knowledge enhancement. And are value-based and/or skill-based and are aimed at providing hands-on-training, competencies, skills etc. in English and/Hindi and Environment science.

MATH301TH  CORE COURSE -3

REAL ANALYSIS

·      Define and recognize sequence and series of real numbers and their conversions and uniform conversions

·      Recognize the difference between point wise conversions and uniform conversions of sequence of function.

·      Use comparison, condensation, ratio, root condensation and Leibnitz’s test for conversion of series.

·      Construct mathematical proofs of basic results in real analysis

·      are able to comprehend bounded sets ,Archimedean properties and Bolzano-Weierstrass theorem

·      Students can produce proofs of results of real analysis.

Skill Enhancement Course-1

MATH302TH

OR

MATH303T

OR

MATH304TH

Analytical Geometry

OR

Integral Calculus

Integral Calculus, (MATH304TH)

·         Learns integration by partial functions and properties of the definite integrals

·         Establish various reduction formulae

·         Are able to connect to integrals (smaller index+1)

·         Learn to find area and length of curves in planes.

·      Evaluate double and triple integrals.;

MATH401TH  CORE COURSE-4 

Algebra  

·      Study the definition of groups rings and fields.

·      Are able to understand concept if subgroups, normal subgroups and quotient groups.

·      Use concepts of homomorphism isomorphism and endomorphism for group sand rings.

·      Use canonical types of groups like cyclic groups ,permutation groups and rings such as polynomial rings and quotient  rings

·      Are able to find cossets and related theorem.

·      Produce groups of theorem on algebra.

Skill Enhancement Course-2

MATH402TH

OR

MATH403TH

Vector Calculus

OR

Theory of Equations

OR

Number Theory

VECTOR CALCULUS(MATH402TH

·       Study differentiation & partial differentiation of a vector sum.

·       Learn the concept of the dot product.

·       To study to find gradient, divergence and curl of vectors.

(Theory of Equations MATH403TH)

·      Students will be familiar with general properties of polynomials and their graphical representation.

·      Will be able to compute maximum and minimum values of polynomials.

·      Will gain the ability to use Descartes role of science for positive and negative roots.

·      Will come to know about the concept of symmetric functions.

·      Will use transformation of equations and will be able to find solutions of binomial and reciprocal equations.

·      Students will gain the ability to find algebraic solutions of cubic and biquadrate’s.

DSE-Course-1

MATH501TH

OR

MATH502TH

OR

MATH503TH

Matrices

OR

Mechanics

OR

Linear  Algebra

Linear  Algebra(MATH503TH)

·         Analysis vectors in Rⁿ algebraically

·         Learn the concepts of linear independence and dependence, linear span basis and dimensions.

·         Study vector spaces and subspaces.

·         Use matrix algebra and relate matrices to linear transformations.

·         Study inner product spaces and Cauchy Schwarz’s in equality.

Skill Enhancement Course -3

MATH504TH

OR

MATH505TH

OR

MATH506TH

Probability and Statistics

OR

Mathematical Finance

OR

Mathematical Modeling

DSE Course- 2

MATH601TH

OR

MATH602TH

OR

MATH603TH

Numerical analysis

OR

Complex methods

OR

 Analysis

Linear programming

Numerical Analysis,(MATH601th)

·         Study to find the approximate rules of non linear equation s by using different methods such as bisection, secant and Newton Repson method.

·         How to find missing numbers from the available data and the estimate value of known quantity between the two known quantities.

·          To find the value of definite integral from set of tabulated values of the integrand by using trapezoidal and Simpsons rule.

Complex Methods (MATH602TH)

·         Define functions in their complex domains

·         Study relation between points in Cartesian plane and complex planes

·         Study the complex integration of functions, limit and continuity of complex functions, Cauchy Riemann equation harmonic functions.

Skill Enhancement Course--IV

MATH604TH

Or

MATH605TH

Or

MATH606TH

Boolean Algebra

Or

Transportation And

Game Theory

Or

Graph  Theory

Boolean algebra (MATH604TH)

·           Study the definition, examples of ordered sets, maps between the ordered sets, maximal and minimal elements,l attices, sublattices and homomorphisms.

·           Definition and properties of modular and distributive lattices, boolian polynomials , minimal form of boolian polynomials.