Mathematics Department Profile

Establishment Of College:

Telangana Tribal Welfare Residential Educational Institutions Society (TTWREIS) work under aegis of Tribal Welfare Department,Government of Telangana has been passionately working to place the poorest among the Scheduled Tribes in the prosperous orbit through quality education for the last 35 years. This Society with 180 institutions (from 1st standard to Degree) more than 50,000 studentshas been providing quality education in English medium up to graduation.

The Government of Telangana, strongly believes that education is the right medium by which the lives of the marginalized children can be transformed in social and economic spheres thereby cultivating a new generation of marginalized students in Telangana,who can lead the country in the 21st century.

The Government of Telangana has been giving major impetus to educational empowerment of marginalized children by launching Tribal welfare residential degree colleges.

As a part of this initiative 22 Tribal Welfare Residential Degree Colleges are established in Telangana state by The Government of Telangana in 2017.

Establishment of Department:

• Mathematics Department was established in the year 2017 with B.Sc(MPCs) the Department is continuously upgrading itself according to the changing curriculum. Despite limitations of resources the collective efforts of students and teachers have delivered wonderful results.

VISION &MISSION:

• The goal of the mathematics department is to nurture young talents, to focus on standards, assessment and outcomes, and to ensure that all students learn in a powerful way. We also find ways to motivate our students to scale greater heights.

Courses:

• B.Sc(MPCs)
• B.Sc(MPC)

Faculty Profile:

S.NO.	Name	Qualification	Date of Joining
1.	K.Ileshwar	M.Sc(Applied Mathematics ),SET	04.09.2017 to 27.11.2021 22.11.2022 to 11.04.2023
2.	T.Sandhya Rani	M.Sc(Applied Mathematics ),SET	14.08.2019
3.	B.Gangaiah	M.Sc(Mathematics)	03.08.2021 to 29.04.2023
4.	MD.Abdul Lathif	M.Sc(Mathematics)	29.09.2023

Program Outcomes:

S.NO	The students who complete B.Sc course successfully will be able to:
PO-1.	Acquire theoretical as well as practical knowledge in their disciplines.
PO-2.	Understand the basis of science for coherent understanding of the academic field to pursue multi and inter disciplinary
PO-3.	plan and execute experiments or investigations, analyze and intrepret datainformation collected using appropriate methods.
PO-4.	Develop scientific temper and reasoning ability.
PO-5.	Think critically, follow innovations and developments in science and technology
PO-6.	Solve the problem and also think methodically, independently and draw a logicalconclusion.
PO-7.	Capability ofdemonstratingcomprehensiveknowledge of mathematics understanding of one or more disciplines which form a part of an undergraduate programme of study.

 

Mathematics Specific Outcomes:

B.Sc. MATHEMATICS

• Acquire good knowledge and understanding to solve specific theoretical and applied problems in advanced areas of mathematics and statistics.
• Encourage the students to develop a range of generic skills helpful in employment internship and social activities.
• This program also leads to study of related areas like Computer science, Financial Mathematics, Statistics and many more.
• This program will also help students to students to enhance the for-government jobs in banking, incident and investment sector and data analytic job and jobs in various other public and private enterprises.
• B.sc Mathematics is awarded to the students and the basis of Knowledge understanding, skills attitudes, Values and academic achievements sought to berequired by learner the end of this program.
• Student undergoing this program learn to logically question assertions, to recognizepatterns and distinguish between essential and irrelevant aspects of problems.

 

COURSE OUTCOMES:

B.Sc. MATHEMATICS

DIFFERENTIAL AND INTEGRAL CALCULUS -I SEMESTER –I

On the successful completion of the course the student will be able to:

• Determine the maximum domain for functions of two variables and construct level curve as a tool for visualizing a function graph.
• Student learns how to find higher order derivatives using implicit differentiation.
• Student find radius of curvature of curve at any points.
• Student know how to find the length of curves.
• Expression for the volume obtained by revolving about either area.

DIFFERNTIAL Equation-II SEMESTER –II

On the successful completion of the course the student will be able to:

• Student will be able tofind complete solution of a non-homogeneous differential equation as a linear combination of the complementary function and a particular solution.
• Student will be able to solve first order differential equations.
• Applies the method of undetermined co efficient to solve the non-homogeneous differentialequations with constant quotients.
• Express the basic existence theorem for higher order linear differential equations.
• Use the method of variation of parameters to find the solution of higher order liner differential equations with variable coefficient.

ANALYSIS III SEMESTER –III

On the successful completion of the course the student will be able to:

• Determine infinite sequence is bounded or not and also determine if an infinite series is convergent or divergent by using all tests.
• To find derivatives of exponential and logarithmic functions.
• Student will be able to apply limiting properties describe and prove differentiabilitycondition forreal and complex functions.
• They will be able to prove important theorem s such as roles and mean value theorem.
• It describes that calculation of area under a curve by using reimansum and explains how this value can convert to the definite integral.

ALGEBRA -IV SEMESTER –IV

On the successful completion of the course the student will be able to:

• Student understand how to use technique and theorems of Group theory analyse the structure of finite groups.
• Student should be able to use definitions and theorems to solve problems in group theory and prove new theorem.
• Students learn how to create cosets from group, sub group and also verify that a given function is homomorphism (Isomorphism).
• To write precise and accurate mathematical object in Ring theory. Know how to add and multiply polynomial over arbitrary fileds and able to use this to define polynomial rings

LINEAR ALGEBRA -V SEMESTER –V

On the successful completion of the course the student will be able to:

• Analyse the solution set of system of linear equations.
• Apply properties of determinants to compute determinants of matrix.
• Construct the characteristic polynomials of a matrix and use it to identify Eigen values and their multiplicities.

• Characterise the long-term behaviour of dynamical systems using Eigen value decompositions.
• Explain concept of inner product on vector spaces.

ANALYTICAL SOLID GEOMENTRY –V (A) SEMESTER –V

On the successful completion of the course the student will be able to:

• Understand relationship between different coordinate system and plot curve inSphericalcylindrical polar coordinate.
• All the students should be able to calculate the curve surface area of a cone using the formula.
• Find the parametric representations of a cylinder a cone and a sphere.
• Obtained standards forms of an ellipsoid,hyperbocoid one sheet and hyperboloid of two sheets.

• Obtain tangent lines and tangent planes at a point to a central conicoid.

VECTOR CALCULUS -VI SEMESTER –VI

On the successful completion of the course the student will be able to:

• Use a line integral to compute the work done in moving an object along a curve in a vector field.
• Minimize the definition of directional derivative and radiant and illustrate geometric meaningwith the aid of sketches.
• Find the parametric representation of a cylinder a cone and a sphere.
• Use the properties of curl and divergent to determine weather a vector field is conservative.
• Recognize irrotational and solenoid vector filed.

NUMERICAL ANALYSIS –VI (A) SEMESTER –VI

On the successful completion of the course the student will be able to:

• Use the bi-jection method to solve examples of finding rules of a non-linear equation.
• To learn the concepts of interpolation.
• Student will be able to investigate the solution of a non-linear system of equation.
• Student will be able to research numerical solutions of differential equation of systems.
• Student will be able to perform mathematical operations on numerical analysis.