__Department of Mathematics__

**Program Outcomes**

**B. Sc. Program, Student will be able to:**

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Be able to analyse, test, interpret and form Independent Judgments in bath endemic and non-academic contorts.

Recognize and appreciate the connections between theory and applications.

PO1- Have an appropriate set of professional skills to ensure a productive career.

PO2- Work effectively in a multi-disciplinary environment.

PO3- Be prepared for life-long learning.

PO4- Exhibit positive attitudes and values toward the discipline, so that they can contribute to an increasingly complex and dynamic society.

PO5- Develop effective communication skills in English and regional/national Language.

PO6- Communicate effectively with whom they are interacting and the society to make effective presentations, and give receive clear instructions.

PO7- Function effectively as an individual, and as a member or leader in diverse teams.

**Program Specific Outcome**

** B. Sc. Program in Mathematics a Student will able to:**

** **

PSO1- Be familiar with different areas of Mathematics.

PSO2- Construct abstract models using appropriate mathematical and statistical tools.

PSO3- Be prepared to use mathematics. Not only in the discipline of mathematics, but also in other disciplines and in their future end favours.

PSO4- Recognise what constitutes mathematical thinking. Including the ability to produce and judge the validity of rigorous mathematical arguments.

PSO5- Identify suitable existing methods of analysis, if any, and assess his/her strengths and weaknesses in the context of the problem being considered.

PSO6- Develop the skills necessary to formulate and understand proofs and to provide justification.

PSO7- Think critically and communicate clearly mathematical concepts and solution to real-world problems.

PSO8- Understand the Concepts of algebra which include equations numbers and algebraic structures.

PSO9- Students will be able to use concepts of analysis in saving problem. The concept includes sets, numbers, functions and convergence.

PSO10- Understand mathematics ideas from basic axioms.

PSO11- Identify the application of mathematics in other disciplines and society.

PSO12- On completion of the program the Students are well poised to pursue careers in alealemia, industry and other areas of mathematics.

**Course Outcome**

**B. Sc. I**

**Algebra And Trigonometry**

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After completing this course the learner should be able to:

CO1- To find the inverse of matrix by cayley Hamliton theorem.

CO2- To find the descarte’s rule of sign and salutions of cubic equation (Carton’s Method)

**Calculus**

After completing this course the learner should be able to:

CO1- Find the higher order derivative of the product of two functions.

CO2- Expands function using Taylor’s and McLaurin’s series.

CO3- Learn about partial derivatives its applications.

**Vector Analysis and Geometry**

After completing this course the learner should be able to:

CO1- Represent vectors analytically and geometrically and compute dot and cross products for presentations of lines.

CO2- Analyse vector functions to find derivatives, tangent lines, integrals, arc length and curvature.

CO3- Compute limits and derivatives of function of 2 and 3 variables.

CO4- Evaluate double and triple integral for area volume.

CO5- Differentiate victor fields.

**B. Sc. II**

**Advanced Calculus**

After completing this course the learner should be able to:

CO1- Compute double integrals, application to area and volume, arena’s theorem in the plane and the

change of various in double integrals.

CO2- Understand basic nations such as derivative of the scalar field w.r to vector field gradient of scalar field, paths and line.

CO3- Recognize fundamental vector product, area of various parametric surfaces.

**Differential Equation**

After completing this course the learner should be able to:

CO1- Obtaining integrating factor which may reduce a given differential equation into inexact one and eventually provide its solution.

CO2- Method of solution of the differential equation.

CO3- Solve differential equations using the Laplace transform technique.

**Mechanics**

After completing this course the learner should be able to:

CO1- Relative motion inertial and non-inertial reference frames.

CO2- Parameters defining the motion of mechanical system and their degree of freedom.

CO3- Study of the interaction of forces between solids in mechanical systems.

CO4- Centre of mass and inertia tensor and mechanical systems.

CO5- Application of the vector theorems of mechanics and interpretation of their results.

**B. Sc. III**

**Analysis**

After completing this course the learner should be able to:

CO1- Learns various field axioms the Archimedean property, triangle and Cauchy Schwartz inequality.

CO2- Extend the idea to set theory, functions, countable and uncountable sets.

CO3- Examine the convergence of any sequence in a matric space.

CO4- Relate function to point set topology.

**Abstract Algebra**

After completing this course the learner should be able to:

CO1- Analyse and demonstrate example of subgroups, normal subgroups and quotient groups.

CO2- Analysed demonstrate example of ideals and quotient rings.

CO3- Use the concepts of isomorphism and homomorphism for groups and rings.

**Discrete Mathematics**

After completing this course the learner should be able to:

CO1- Study the concept of Relation and functions.

CO2- Classify the concept of Lattices and Boolean Algebra.

CO3- Create structural designs using patterns of graphs in graph theory.