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Programme Specific Outcomes

Approaching Problems in an analytical and rigorous way, formulating theories and applying them to solve problems.
Communicate mathematics effectively by written, oral, computing and graphical means.
Understand the concepts and theories of mathematics and their application in the real world.
Understand the use and application of standard mathematical software.
Good conceptual grounding in computer usage and its practical applications.
Provide a systematic understanding of core physical concepts, principles and theories along with their applications.
Develop Proficiency in the analysis of complex physical problems and the use of mathematical or other appropriate techniques to solve them.
Demonstrate skills in the use of computers for control, data acquisition, and data analysis in experimental investigations.
The graduates will become successful professionals by demonstrating logical and analytical thinking abilities.
The graduates will work and communicate effectively in inter-disciplinary environment, either independently or in a team, and demonstrate leadership qualities.
Advanced numeracy and analysing large quantities of data
Constructing and clearly presenting mathematical and logical arguments
Turning real-world problems into mathematical problems
Dealing with abstract concepts.
Acquire proficiency in using SCILAB and MAXIMA and PYTHON Software

Course Outcome :

Real and Complex Analysis

Demonstrate the convergence or divergence of the geometric and harmonic series and other standard series
Know and apply the basic tests for convergence of infinite series
Work with complex numbers in both rectangular and polar form
Determine basic mapping properties of elementary functions, including how functions transform simple shapes in the plane such as lines and circles
Compute complex contour integral in several way

Algebra

Compute Describe and generate groups, rings and fields
Relate abstract algebraic constructs to more familiar sets and operators
Identify and differentiate different structures and understand how changing
properties give rise to new structures
Demonstrate some simple applications related to group of symmetries

Calculus

Compute limits, derivatives and examine the continuity, differentiability of a function at a point
Find limit of a function using L’Hospital’s rule
Compute successive differentiation, use Leibnitz theorem to solve Problems and master the fundamental concepts of Partial Differentiation
Be familiar with the curve tracing

Differential Equations

Recognize ordinary and partial differential equations (ODEs and PDEs)
Will be able to use multiple appropriate techniques to get the solutions, and then interpret the results
The use of ODEs and PDEs concepts encountered in the real world

Linear Algebra

Understand terminologies like subspace of a vector space, linear span, linear dependence, linear independence, dimension and basis and formally prove results related to these concepts
Be familiar with the definition of Linear transformation, relate matrices to linear transformation and about Rank, nullity and results related to it

Discrete Mathematic

Demonstrate a working knowledge of set notation and elementary set theory, recognize the connection between set operations and logic
Apply the different properties of , Bijective, compositions, and inverse functions
Determine when a relation is transitive, apply the properties of equivalence relations and partial orderings, and explain the connection between equivalence relations

Statistics

Understand and analyse bivariate data with respect to their association
Apply different distributions at the appropriate situations

Numerical Methods

Understand and apply error analysis, convergence, rounding error in various problems
Apply iterative methods to compute solutions of linear, nonlinear algebraic equations and system of equations to within a specified tolerance
Derive numerical methods such as interpolation, integration and apply the methods to various problems
Obtain numerical solutions of ordinary differential equations

Integral Transforms

Evaluate some standard integrals by Fourier integrals
Use the properties of Laplace Transform
Apply Laplace Transforms in solving ordinary differential equations

Matrix Theory

Ability to manipulate matrices and to do matrix algebra
Ability to solve system of linear equations and compute determinants, eigenvalues and eigenvectors.

Analytical Geometry

Sketch the 3-D objects from given 2-D representations from various views Explore and the use angle properties associated with intersecting lines and
parallel lines
Translates between the geometric description and the equation for a circle and uses coordinates to prove simple theorems algebraically