B.Sc. Mathematics
Course Outcome

B.Sc. Part-I, Semester-I
Paper-I: Differential calculus
  • On completion of the course, students are able to:
  • Study of Rate of change of vectors is vector calculus.
  • It is widely used in Physics and Mechanics. 
  • To study various operations on vectors. 
  • To learn about differentiation and integration of vectors. 
  • To understand the concepts of gradient, divergence and curl
Paper II: Calculus 
  • On completion of the course, students are able to: 
  • It is used in almost all branches of engineering. 
  • It is a science that deals with rate of change. 
  • Understanding the concept of differentiation.
  • Understanding the concept of Integration. 
  • It is used in almost all branches of engineering. 
  • It deals with calculus of several variables. 
  • To understand the importance of Taylors series. 
  • To understand Mean value theorem.
Semester-II
Paper III: Differential Equations 
  • On completion of the course, students are able to:
  • To understand the necessity of differential equations 
  • To learn about forming differential equations from physical situations 
  • To know various types of differential equations 
  • To practice methods of solution for various types of differential equations. 
  • It is useful for methods of momentum and energy transfer. 
  • It is used in all branches of engineering.
Paper-IV: Higher order ordinary differential equation and partial order differential equation
  • On completion of the course, students are able to:
  • It is used in almost all branches of engineering.
  • Understanding the concept of differentiation. 
  • Understanding the concept of Integration. 
  • It is used in almost all branches of engineering.
B.Sc. Part-II, Semester- III
Paper-V: Differential calculus 
  • On completion of the course, students are able to: 
  • Study of Rate of change of vectors is vector calculus. 
  • It is widely used in Physics and Mechanics. 
  • To study various operations on vectors. 
  • To learn about differentiation and integration of vectors. 
  • To understand the concepts of gradient, divergence and curl. 
Paper-VI: Differential Equations 
  • On completion of the course, students are able to: 
  • It is used in all branches of engineering. 
  • It is useful for methods of momentum and energy transfer.
  • To study existence and uniqueness about solutions. 
  • To learn about the simultaneous differential equations. 
  • To understand the methods of solution for total differential equations
B.Sc. Part-II, Semester-IV
Paper VII: Integral calculus 
  • On completion of the course, students are able to:
  • To find area by double integration. 
  • To find volume by triple integration.
  • It is useful for measuring areas and volumes. 
  • It is used in all branches of engineering. 
  • To study differentiability and integrability. 
  • To learn mean value theorem of integral calculus. 
  • To learn how to solve improper integrals. 
  • To understand the importance of Legendre polynomials.
  • To know the Fourier series. 
  • To study half range series.
Paper VIII: Discrete Mathematics 
  • On completion of the course, students are able to:
  • Understand the basics of graph theory. 
  • To learn operations on graphs.
  • To learn about connected graphs. 
  • To understand various problems related with planar graphs 
  • It is used in Genomics, networks, etc.
  • To know about number system 
  • To learn division algorithm and its application 
  • To know about congruence classes
B.Sc. Part-III: Semester-V
Paper-IX: Real Analysis 
  • On completion of the course, students are able to:
  • It is a branch of pure mathematics. 
  • It is useful and Statistics, Probability, Operations Research, etc. 
  • To study sequences. 
  • To study series of real functions.
Paper – X: Modern Algebra 
  • On completion of the course, students are able to:
  • Algebra is science of operations. 
  • It is widely used in Computer science and Information Technology. 
  • To understand the concept of groups. 
  • To learn homomorphism and isomorphism
  • To under the structure of ring and integral domain. 
  • To learn normal subgroups.
  • To study permutations.
  • To know about quotient and polynomial rings. 
Paper – XI: Partial Differential Equations 
  • On completion of the course, students are able to: 
  • To understand the importance of ordinary and partial differential equations. 
  • It is used in solving many problems of engineering and physics. 
  • To learn about exact differential equations and various types. 
  • To learn about second order linear differential equations. 
  • To study series method of solution. 
  • To study about linear partial differential equations.
Paper XII: Numerical Methods-I 
  • On completion of the course, students are able to:
  • It is used for solving a system of equations 
  • It has application in all branches of engineering. 
  • To know how to find the roots of transcendental equation. 
  • To learn how to interpolate the given set of values 
  • To understand the curve fitting for various polynomials 
  • To learn numerical solution of differential equations. 
Semester VI
Paper – XIII: Metric Spaces 
  • On completion of the course, students are able to:
  • A metric space is a set for which distances between all members of the set are defined 
  • It is used in fixed point theorem and mapping principles. 
  • To study continuous functions on metric spaces. 
  • To learn connected metric spaces. 
  • To understand complete metric spaces. 
  • To study compact metric spaces.
Paper – XIV: Linear Algebra 
  • On completion of the course, students are able to: 
  • It is a branch of Algebra.
  • It is used in Computer Science, Electrical engineering, etc. 
  • To learn about vector spaces.
  • To understand theorems on basis and dimension. 
  • To know about eigenvalues and eigenvector. 
Paper – XV: Complex Analysis 
  • On completion of the course, students are able to: 
  • It is widely used in Fluid Mechanics and Electrical engineering. 
  • To learn properties of complex numbers.
  • To understand the use of complex numbers in the field of Calculus.
  • To learn the importance of analytic functions.
  • To gain knowledge of singularities and residues.
  • To apply the knowledge of residues in complex integration. 
Paper – XVI: Numerical Methods-II
  • On completion of the course, students are able to Understand 
  • It is a branch of numerical analysis 
  • It is used for solving a system of equations and used in all branches of engineering. 
  • To solve a system of linear equations. 
  • To learn numerical differentiation and integration. 
  • To learn about interpolation polynomials.
  • To apply numerical methods for differential equations.