Bsc mathematics

B.Sc. Mathematics: Syllabus Description

Year I
Topic Description
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
Topic Description
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
Topic Description
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: Subjects of Study

Subjects of Study
Calculus Analytical Solid Geometry
Probability & Statistics Differential Equations
Real Analysis Mechanics
Abstract Algebra Linear Algebra
Discrete Mathematics Complex Analysis
Linear Programming & Its Applications Numerical Analysis

B.Sc. Mathematics: Subject Books

Name of the Book Author
Calculus- Single and Multivariable Hughes and Hallet
Contemporary Abstract Algebra Joseph A. Gallian
Basic Abstract Algebra Bhattacharya
Functional Analysis and Applications S. Kesavan
Ordinary Differential Equations Morris Tenenbaum and Harry Pollard
Calculus and Analytical Geometry GB Thomas and RL Jinney
Derivatives and Integrals of Multi-variable Functions Alberto Guzman
Numerical Analysis of Partial Differential Equations S.H. Lui