B.Sc 1st Year Mathematics Exam 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 Exam 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 Exam 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 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