UG&PG Bridge course syllabus

                Department of Mathematics

       UG&PG Bridge course syllabus 

UG

Date of implementation	No. of students enrolled for Bridge course	Topics covered
16-07-2014 to 26-07-2014	10	Differential equations and Solid Geometry
24-07-2015 to 30-07-2015	12	Differential equations and Solid Geometry
25-07-2016 to 29-07-2016	10	Differential equations and Solid Geometry
11-07-2017 to 15-07-2017 17-07-2017 to 21-07-2017	10 10	Differential equations and Solid Geometry Matrices, vectors& algebra
20-06-2018 to 26-06-2018 20-06-2018 to 25-06-2018	10 10	Differential equations and Solid Geometry Matrices, operations& types of matrices
08-07-2019 to 16-07-2019 08-07-2019 to 16-07-2019	20 10	Differential equations and Solid Geometry Matrices, operations& types of matrices

I B.Sc. Mathematics Bridge Course syllabus 

 Paper I: Differential Equations:

Derivative of a function, Formation of Differential equations, Definitions of order and degree,solution of differential equation, Methods of differential equations, types of differential equations, definition of ordinary differential equations, definitions of partial differential equations, variable separable methods, First and second order partial derivatives, Homogeneous functions, Homogeneous Differential equations, Non-Homogeneous Differential equations.

Paper II: Solid Geometry:

Axioms, Definitions and theorems (with out proofs) of Euclidean geometry having application in solid analytical geometry, co-ordinates Fundamentals of Results , straight line normal form illustrations , symmetric form intersection of straight line, Cartesian equations

Prescribed Textbook:

 N.Krishna Murthy & others “A text book of Mathematics for B.Sc Volume- I, S.Chand & Company, New   Delhi.

 Reference books:

 Dr.A.Anjaneyulu A “text book of B.Sc Mathematics Volume -I, Deepthi publications

I B.Sc. Food Technology& Management Bridge Course Syllabus

Paper I: Applied Mathematics- I

Matrices: Introduction to matrices, types of matrices, addition and subtraction of matrices.

Differential calculus: Introduction to differentiation, evaluation of derivatives.

Functions: Algebraic functions, logarithmic functions, implicit functions, explicit functions and parametric functions.

Paper II: Applied Mathematics- II

Trigonometry: Introduction, terminologies, basic formulas and periodic forms.

Quadratic equations: Introduction, equation solving, finding roots and discriminate.

Integrations:  Introduction, integration formula, simple problems.

I B.Sc. Mathematics(Hons.) Bridge Course syllabus 

Paper I: Calculus

Derivatives of higher order:  Hyperbolic functions, Higher order derivatives- Derivative, same standard results, Determination.

Vectors introduction: Vector function of scalar Variable- Continuity of a Vector function.

Paper II: Algebra

Integers: Sets – Some basic properties of integers – Mathematical Induction – Divisibility of integers- G.C.D and L.C.M.

Matrix: Introduction-- Types of Matrix—Operations- Matrix Inversion Method.

Paper III: Real Analysis

Continuity- Limits: Real valued Functions, Boundedness of a function, Limits of functions.

Continuous functions: Continuous functions, Combinations of continuous functions

Paper IV: Differential Equations

Differential Equations: Introduction, Homogeneous functions, Homogeneous differential equations, Equations reducible to homogeneous form.

PG

Date of implementation	No. of students enrolled for Bridge course	Topics covered
28-07-2014 to 04-08-2014	07	Groups, Riemann integration, ODE, Numerical analysis, Complex numbers
20-07-2015 to 27-07-2015	07	Groups, Riemann integration, ODE, Numerical analysis, Complex numbers
14-07-2016 to 19-07-2016	07	Groups, Riemann integration, ODE, Numerical analysis, Complex numbers
27-07-2017 to 01-08-2017	05	Groups, Riemann integration, ODE, Numerical analysis, Complex numbers
27-07-2018 to 01-08-2018	04	Groups, Riemann integration, ODE, Numerical analysis, Complex numbers
08-07-2019 to 16-07-2019	05	Groups, Riemann integration, ODE, Numerical analysis, Complex numbers

               I M.Sc (Maths) Bridge Course Syllabus 

UNIT I:  Definition of Groups, Homomorphism, Cyclic groups, Normal subgroups-Set, Conjugacy, Ideals, Domain and Modules &Vector spaces.

UNIT II:  Definition of Integrals& Riemann Integrals, Riemann stieltjes Integrals, bounds, upper bounds, continuous, Differentiable &Definition of Topology, Definition of converges.

UNIT III: Definition of Differential equation &Types of Differential Equation, Eigen Values, Definition of power series, singular points, polynomials, Bessel’s functions.

UNIT IV: Definition of curve fitting, Definition of Interpolation, Formula of Newton’s divided Differences Formula of Laplace equations, Gauss seidel methods 

UNIT V: Definition of Analytic function and Definition of complex numbers and functions, Definition of Mobius Transformation, Definition of power series.