Department of mathematics

2)     Analyse and prove properties like limit, continuity, differentiability, mean value theorems, higher order derivatives, indeterminate forms.

3)     Apply numerical techniques of interpolation, extrapolation, and determination of roots of transcendental equations with accuracy and Use of Python programming for these techniques.

4)     Enhance problem solving skills/ ability  to  establishing limits using  definition

2)     Demonstrate an ability to solve a range of problems using the techniques covered.

3)     Select an appropriate test while testing a given statistical hypothesis and solve problems on it.

4)     Measure the extent of linear relationship between the given variables.

2)     Students will be able to apply various concepts to solve problems.

3)     Students will be able to solve system of linear equations and will be able to construct orthogonal basis from a given basis for a finite dimensional vector spaces.

4)     Students will be able to correlate the various concepts in Matrices and Linear algebra and solve problems.

2)     Learn how to interpolate the given set of values.

3)     Understand methods of curve fitting.

4)     To compute integrals numerically using methods of Numerical Quadrature.

2)     Select an appropriate technique of solving linear differential equations of first and second order with constant coefficients.

3)     Explain some basic definitions in Graph theory and give examples thereof.

4)     Determine shortest path/ minimum spanning tree using the standard algorithms and solve problems on graph.

2)     Demonstrate an ability to solve a range of problems using the techniques covered.

3)     Select an appropriate test while testing a given statistical hypothesis.

4)     Measure the extent of linear relationship between the given variables and estimate values of dependent variable using regression methods.

2)     Distinguish between point wise & uniform convergence of sequence & series of Functions and prove theorem based on convergence.

3)     Construct formulation of real life problems as a mathematical model & determine their solutions using graphical & technical methods.

4)     Analyse practically transportation, Assignment problems, queuing & inventory models & techniques of finding optimal solutions.

2)     Identify the equation, vertex, focus, directrix and trace the graph of corresponding equation.

3)     Understand the different terms like Chord, Tangent, Normal, Pole, Polar etc and analyse the relation between this terms and different conic sections.

4)     Solve problems using what they have studied.

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2)     Apply various concepts in Algebra to solve problems.

3)     Determine the isomorphism class for a finite abelian group. Students will be able to write mathematical proofs.

4)     Correlate the various concepts in Algebra and solve problems.

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2)     Determine the radius & interval of convergence of power series, effect of term by term differentiation & integration of power series, addition & multiplication     of power series and prove theorems on power series.

3)     Describe periodic functions with periods 2 /2  & their expression as Fourier series & discuss related properties.

4)     Learn about Inner product spaces with properties.

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2)     Distinguish between scalar & vector fields and prove results based on gradient, divergence & curl.

3)     Point out inter relationship between double, line, surface & volume integrals.

4)     Sharpen problem solving skills through geometric visualizations & use of Transformations from Cartesian / to polar /to cylindrical /to spherical coordinate systems.

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2)     Apply various concepts to solve problems.

3)     Write mathematical proofs.

4)     Correlate the various concepts in Foundation of Mathematics and solve problems.

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2)     Demonstrate an ability to think laterally.

3)     Analyse the given problem to find a way to solve it.

4)     Derive some standard results/identities using combinatorial arguments and solve recurrence relations.

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2)     Apply various concepts to solve problems.

3)     Solve different types of differential equations.

4)     Correlate the various concepts in Differential Equations and prove results based on it.

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2)     Determine when and where a given function is analytic and find its series expansion.

3)     Explain some basic properties of complex integration and compute such integrals.

4)     Describe conformal mappings between various plane regions.

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2)     Explore special points & to state interior, exterior of set of natural numbers, integers, rational & irrational numbers.

3)     Acquaint with convergence of sequences, continuity of functions and prove related theorems.

4)     Distinguish between connectedness & compactness properties.

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2)     Prove important theorems in Number Theory.

3)     Apply knowledge of congruence to solve Diophantine equations and some competitive exam problems.

4)     Analyse and solve problems in Number theory and create appropriate arguments to justify the proofs.

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2)     Learn progressions, matrix arrangements, determinants & it’s usefulness in solving simultaneous equations.

3)     Know how to find possible arrangements & selections from given objects as permutations & combinations.

4)     To develop problem solving skills in ratio & proportions, discounts.

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2)     Prove important results in calculus.

3)     Apply knowledge of derivatives and integration to some day to day problems.

4)     Analyse and solve problems on Ratio, Proportion, Percentage and Discount.

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