Course Outcome

SEMESTER & CLASS COURSE CODE COURSE TITLE COURSE OUTCOME
SEM 1
B.Sc
Mathematics		 MTS1B01 Basic Logic and Number Theory
  • Fundamentals of logic, its symbols, and Rules enables one to think systematically, to express ideas in precise and concise mathematical terms.
  • Helps for developing programming languages
  • Students will be able to enjoy and master several technique of problem solving such as recursion ,induction,etc.
SEM2
B.Sc
Mathematics		 MTS2B02 Calculus of single variable1
  • The concepts necessary to explore the relationship between moving/changing objects are provided in calculus.
  • The integral turns out to be a powerful tool in solving problems in physics, chemistry, biology, engineering, economics and other field
SEM3
B.Sc
Mathematics		 MTS3B03 Calculus of single variable2
  • Enables to study a related notion of convergence of a series, which is practically done by applying several different tests such as integral test, comparison test and so on.
  • The students get the idea of parametrization of curves, they learn how to calculate the arc length, curvature etc. using parameterization and also the area of surface of revolution of a parameterized plane curve.
SEM4
B.Sc
Mathematics		 MTS4B04 Linear Algebra
  • The student will become competent to perform matrix algebra and also to calculate the inverse and determinant of a matrix.
  • The familiarity of the students with planar vectors and their algebraic properties under vector addition and scalar multiplication will make them realize that the idea of a general vector space is in fact an abstraction of what they already know.
SEM5
B.Sc Mathematics		 MTS5B05 Abstract Algebra
  • Students understand the abstract notion of a group, learn several examples, are taught to check whether an algebraic system forms a group or not and are introduced to some fundamental results of group theory
  • Students should achieve mastery of the topics Group theory, Ring theory, field theory
B.Sc Mathematics MTS5B06: Real Analysis
  • Apply the mathematical concept of convergence and its epsilon delta definition to establish the existence of limits and devise proofs of mathematical statements via the definition of convergence
  • Use fundamental mathematical concepts and theorems to establish inequalities and estimates, to establish if a function of two variables is continuous and\or differentiable at a given point.
SEM5
B.Sc Mathematics		 MTS5B07: Numerical Analysis
  • Understand several methods such as bisection method, fixed point iteration method, regula falsi method etc. to find out the approximate numerical solutions of algebraic and transcendental equations with desired accuracy
  • Understand the concept of interpolation and also learn some well known interpolation techniques.
SEM5
B.Sc Mathematics		 MTS5B08: Linear programming
  • Formulate a given simplified description of a suitable realworld problem as a linear programming model in general, standard and canonical formsC02: Sketch a graphical representation of a two-dimensional linear programming model given in general, standard or canonical form.
  • Classify a two-dimensional linear programming model by the type of its solution
SEM 6
B.Sc Mathematics		 MTS5B09: Introduction to Geometry and Theory of Equations
  • This course prepares students to do problems involving equations and other areas where algebra skills are required. C02: Fluent skills in algebra arenecessary for success in any area that uses mathematical analysis
SEM6
B.Sc Mathematics		 MTS6B10 Real Analysis
  • Describe fundamental properties of the real numbers that lead to the formal development of real analysis
  • Comprehend rigorous arguments developing the theory underpinning real analysis.C03: Demonstrate an understanding of limits and how they are used in sequences, series, differentiation and integration.
SEM6
B.Sc Mathematics		 MTS6B11: Complex Analysis
  • Able to compute sums, products, quotients, conjugate, modulus, and argument of complex numbers.C02: Write complex numbers in polar form .C03: Compute exponentials and integral powers of complex numbers.
SEM6
B.Sc Mathematics		 MTS6B12 Calculus of Multivariable
  • Understand several contexts of appearance of multivariable functions and their representation using graph and contour diagrams.
  • Formulate and work on the idea of limit and continuity for functions of several variables.
  • Understand the notion of partial derivative, their computation and interpretation.
SEM6
B.Sc Mathematics		 MTS6B13: Differential Equations
  • Solve homogeneous second-order equations
  • Identify a general method for constructing solutions to inhomogeneous linear constant coefficient second-order equations.
  • Show an awareness of initial andboundary conditions to obtain particular values of constants in the general solution of second-order differential Equations
SEM 6
B.Sc Mathematics		 MATS6B14(E01) Graph Theory
  • The students will be able to apply principles and concepts of graph theory in practical situations.CO2: To understand and apply the fundamental concepts in graph theory
SEM 1
B.Sc Physics		 Complementary course 1:
Mathematics 1
MTS4C01		 Mathematics 1
  • Expand information about functions, limits, asymptotes.C02: Equip the students to understand the concepts of integration and its applications.C03: learns to find area between curves, volume by slicing, volume of solids of revolution, length of plane curves,areas of surface ofRevolution.
SEM 2
B.Sc Physics		 MTS4C02 Mathematics 2
  • learns the concept of hyperbolic functionC02: Understands the concepts of polar coordinates
SEM 3
B.Sc Physics		 MTS4C03 Mathematics 3
  • Able to compute sums, products, quotients, conjugate, modulus, and argument of complex numbers.
  • Write complex numbers in polar form.
  • Compute exponentials and integral powers of complex numbers.
SEM 4
B.Sc Physics		 MTS4C04 Mathematics 4
  • Identify a general method for constructing solutions to inhomogeneous linear constant coefficient second-order equations.
  • Equip the students to understand and apply the concept of Laplace Transforms