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B.Sc. Mathematics: Syllabus


B.Sc. Mathematics: Details, Scope, Eligibility, Admission ...
Year I
TopicDescription
Calculus
  • Differential calculus
  • Geometrical application of differential calculus
  • Asymptotes
  • Integral Calculus
  • Multiple Integrals
Probability & Statistics
  • Probability and theoretical distributions
  • Transformation of random variable
  • Testing of hypothesis
  • Correlation and regression
  • Statistical quality control
Analytical Solid Geometry
  • Analytical geometry of two dimensions
  • Analytical geometry of three dimensions
  • Central coincides
  • Paraboloids
  • Transformation of rectangular axes
Differential Equations
  • Solving ordinary differential calculus
  • Differential equations with constant coefficients
  • Formation and solving PDE
  • Homogenous linear differential equations
  • Laplace transforms
Year II
TopicDescription
Real Analysis
  • Sets and Functions
  • Real-valued functions
  • Equivalence, Countability
  • Real Numbers
  • Least upper bounds
Abstract Algebra
  • Preliminaries
  • Group and commutative group
  • Definition of subgroup and examples
  • Definition of cyclic group
  • Permutation
Mechanics
  • Friction
  • Common catenary
  • Impact
  • Virtual work
  • Moment of force
Linear Algebra
  • Vector spaces
  • Inner product spaces
  • Linear transformations
  • Eigen values and Eigen vectors
Year III
TopicDescription
Discrete Mathematics
  • Relations
  • Division algorithm
  • Logic
  • Graph theory
Linear Programming & Its Applications
  • Unear programming problem
  • Problem formulation
  • Types of solutions
  • Linear programming in matrix notation
Complex Analysis
  • Analytical function
  • Transformation
  • Contour integral
  • Taylor and Laurent theorem
  • Evaluation of Integral
Numerical Analysis
  • Direct and iterative method
  • Numerical differentiation and integration
  • Polynomial approximation
  • Numerical solution of ordinary differential equations
  • Numerical solution of partial differential methods

B.Sc. Mathematics: Subject Books

Name of the BookAuthor
Calculus- Single and MultivariableHughes and Hallet
Contemporary Abstract AlgebraJoseph A. Gallian
Basic Abstract AlgebraBhattacharya
Functional Analysis and ApplicationsS. Kesavan
Ordinary Differential EquationsMorris Tenenbaum and Harry Pollard
Calculus and Analytical GeometryGB Thomas and RL Jinney
Derivatives and Integrals of Multi-variable FunctionsAlberto Guzman
Numerical Analysis of Partial Differential EquationsS.H. Lui

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