# How to get the syllabus of the BSc in math at Allahabad University?

LAST READ: APR 12 2024 | Q. BY: MK AGRAWAL

S

Sumona Pathak

### B.Sc 1st Year Mathematics Syllabus of Allahabad University

#### CalculusTopics

• Differential calculus
• Geometrical application of differential calculus
• Asymptotes
• Integral Calculus
• Multiple Integrals

#### Probability & StatisticsTopics

• Probability and theoretical distributions
• Transformation of a random variable
• Testing of hypothesis
• Correlation and regression
• Statistical quality control

#### Analytical Solid GeometryTopics

• Analytical geometry of two dimensions
• Analytical geometry of three dimensions
• Central coincides
• Paraboloids
• Transformation of rectangular axes

#### Differential EquationsTopics

• Solving ordinary differential calculus
• Differential equations with constant coefficients
• Formation and solving PDE
• Homogenous linear differential equations
• Laplace transforms

### B.Sc 2nd Year Mathematics Syllabus of Allahabad University

#### Real AnalysisTopics

• Sets and Functions
• Real-valued functions
• Equivalence, Countability
• Real Numbers
• Least upper bounds

#### Abstract AlgebraTopics

• Preliminaries
• Group and commutative group
• Definition of subgroup and examples
• Definition of a cyclic group
• Permutation

#### MechanicsTopics

• Friction
• Common catenary
• Impact
• Virtual work
• Moment of force

#### Linear AlgebraTopics

• Vector spaces
• Inner product spaces
• Linear transformations
• Eigenvalues and Eigenvectors

### B.Sc 3rd Year Mathematics Syllabus of Allahabad University

#### Discrete MathematicsTopics

• Relations
• Division algorithm
• Logic
• Graph theory

#### Linear Programming & Its ApplicationsTopics

• Under programming problem
• Problem formulation
• Types of solutions
• Linear programming in matrix notation

#### Complex AnalysisTopics

• Analytical function
• Transformation
• Contour integral
• Taylor and Laurent's theorem
• Evaluation of Integral

#### Numerical AnalysisTopics

• The direct and iterative method
• Numerical differentiation and integration
• Polynomial approximation
• Numerical solution of ordinary differential equations
• Numerical solution of partial differential methods