POs  PSOs & COs

GOVERNMENT DEGREE COLLEGE, CHEEPURUPALLI

DEPARTMENT OF MATHEMATICS

PROGRAM OUTCOMES (POs), PROGRAM SPECIFIC OUTCOMES (PSOs) AND COURSE OUTCOMES (COs) 

PROGRAM OUTCOMES (POs) for B. Sc. (Physics, Chemistry, Mathematics):

Students graduating with the B.Sc. Physical Science degree should be able to acquire

PO1: Capability of demonstrating comprehensive knowledge of B.Sc. programme. 

PO2: Ability to employ critical thinking in understanding the concepts in every area of B.Sc. PCM programme. 

PO3: Ability to analyse the results and apply them in various problems. 

PO4: Develop a sense of research to predict cause-and-effect relationships. 

PO5: Capability to solve problems by using research-based knowledge and research methods. 

PO6: Create, select, and apply appropriate techniques, resources, and modern science and IT tools. 

PO7: Ability to work independently and do in-depth study of various notions of courses. 

PO8: Ability to communicate various concepts of B.Sc. programme effectively using examples and their geometrical visualizations. 

PO9: Possess knowledge of the values and beliefs of multiple cultures and a global perspective; and capability to effectively engage in a multicultural society and interact respectfully with diverse groups. 

PO10: Self-motivating and inspiring team members to engage with the team objectives by using management skills. 

PO11: Ability to think, acquire knowledge and skills through logical reasoning and to inculcate the habit of self-learning. 

PO12: Ability to identify unethical behaviour and adopting objective, unbiased and truthful actions in all aspects of their programme. 

PO13: This programme will also help students to enhance their employability for jobs in different sectors. 

PROGRAM SPECIFIC OUTCOMES (PSOs) for B.Sc., Mathematics, Physics, Chemistry (M.P.C):

PSO 1: Understand the theoretical concepts of physical and chemical properties of materials and the role of mathematics in dealing with them in a quantitative way.

PSO 2: Analyse the concepts of mathematics, physics and chemistry and understand the relation among them like physical chemistry, mathematical modelling of physics and chemistry problems.

Skills needed to handle instruments and adopt lab procedures to study physical chemical properties of materials.

PSO 3: Mathematical, numerical techniques required to model them.

PSO 4: Ability to interlink the skills and knowledge in mathematics, physics and chemistry and develop an aptitude to address the problems in biophysics, stock market analysis.

 PROGRAM SPECIFIC OUTCOMES for B.Sc., Mathematics, Physics, Computer Science (M.P.Cs)

PSO 1: Understand the concepts of vector spaces, group theory, quantum mechanics, optical, thermal, electrical, mechanical properties of a materials, probability, algorithm design, data base

PSO 2: Understand the concepts of vector spaces, group theory, quantum mechanics, optical, thermal, electrical, mechanical properties of a materials, probability, algorithm design, data base

PSO 3: Analyse the concepts of mathematics, physics and computers science able to relate them in numerical programming of models of physical systems.

PSO 4: Acquire the skills to study the properties of materials, implementation of numerical algorithms by using various

PSO 5: Ability to interlink the skills developed and acquires an aptitude to address the problems in simulations of material properties, web and mobile app development.

COURSE OUTCOMES (COs):

Differential Equations:

The course will enable the students to

CO:1 Understand the genesis of ordinary differential equations. 

CO2: Learn various techniques of getting exact solutions of solvable first order differential equations and linear differential equations of higher order. 

CO3: Know various methods to find the solutions of Linear differential equations 

CO4: Grasp the concept of a general solution of a linear differential equation of an arbitrary order and also learn a few methods to obtain the general solution of such equations. 

CO5: Formulate mathematical models in the form of ordinary and partial differential equations to suggest possible solutions of the day to day problems arising in physical, chemical and biological disciplines.

Real Analysis 

This course will enable the students to: 

CO1: Understand many properties of the real line ℝ and learn to define sequence in terms of functions from ℝ to a subset of ℝ. 

CO2: Recognize bounded, convergent, divergent, Cauchy and monotonic sequences and to calculate their limit superior, limit inferior, and the limit of a bounded sequence. 

CO3: Apply the ratio, root, alternating series and limit comparison tests for convergence and absolute convergence of an infinite series of real numbers.

CO4: To understand the concept of differentiation and applications of Rilke's, Cauchy's and Lagrange's Mean Value theorems.

CO5: Learn some of the properties of Riemann integrable functions, and the applications of the fundamental theorems of integration.

Abstract Algebra

The course will enable the students to: 

CO1: Recognize the mathematical objects called groups.

CO2: Link the fundamental concepts of groups and symmetries of geometrical objects.

CO3: Explain the significance of the notions of cosets, normal subgroups, and factor groups.

CO4: Analyse consequences of Lagrange’s theorem.

Vector Calculus

This course will enable the students to: 

CO1: Learn the concept of vector functions and vector fields.

CO2: Apply the concept of ordinary, partial and total derivatives of vector function in real life problems. 

CO3: Apply the concept of Gradient, divergence and curl of vector function fields 

CO4: Realize importance of Green, Gauss and Stokes’ theorems in other branches of mathematics.

Linear Algebra

At the end of the course, the student will be able to:

CO1: Understand the concepts of vector spaces, subspaces, bases, dimension and their properties. 

CO2: Relate matrices and linear transformations, compute eigen values and eigen vectors of linear transformations. 

CO3: Realise importance of a Translation, Dilation, Rotation, Reflection in a point, line and plane.

Numerical Analysis

This course will enable the students to: 

CO1: obtain numerical solutions of algebraic and transcendental equations. 

CO2: find numerical solutions of system of linear equations and check the accuracy of the Solutions. 

CO3: learn about various interpolating and extrapolating methods.