3. Vision :
1. To be a dept / centre of Preparing the UG youth
for elementary and innovative intuitions the communities a first choice.
2. To community Patterns to enrich the logical, technical,
intellectual, cultural, Economic fabric of our district.
3. To provide the excellence in Education must
occur in an ethical climate of integrity and respect.
4.Mission :
The mission of a Mathematics Department typically
encompasses a range of objectives centered on education, research, and service.
Here is a synthesized version of what such a mission statement might include:
1.
Education:
· Provide high-quality
education in mathematics at undergraduate and graduate levels.
·
Develop critical thinking, problem-solving, and analytical skills in
students.
·
Prepare students for careers in education, industry, government, and for
advanced studies in mathematics and related fields.
2.
Research:
·
Advance mathematical knowledge through original research.
·
Foster a collaborative research environment that encourages innovation
and interdisciplinary work.
· Disseminate research findings through
publications, conferences, and seminars.
3.
Service:
·
Serve the academic community by
participating in professional organizations, editorial boards, and peer review
processes.
·
Support the university's mission through involvement in governance,
curriculum development, and outreach activities.
· Engage with the
broader community by offering expertise in mathematics to local schools,
businesses, and organizations.
4.
Inclusivity and Diversity:
·
Promote an inclusive and diverse environment that supports all students
and faculty members.
·
Encourage participation from underrepresented groups in mathematics.
· Foster a supportive
community that values different perspectives and backgrounds.
5.
Continuous Improvement:
·
Regularly assess and improve curricula,
teaching methods, and research practices.
·
Stay current with developments in mathematics and mathematics education.
· Incorporate new
technologies and methodologies to enhance learning and research.
5. Program Outcomes (POS) :
Program outcomes for a Mathematics Department
typically define the specific skills, knowledge, and attitudes that students are
expected to acquire by the end of their studies. These outcomes guide curriculum
development and assessment and ensure that the program meets educational and
professional standards.
Here are some common program outcomes for a Mathematics Department: Mathematical
Knowledge, Problem-Solving Skills,
Critical Thinking and Analytical Skills,
Computational Skills,
Research and Inquiry,
Communication Skills,
Application of Mathematics,
Collaboration and Teamwork,
Preparation for Advanced Studies and Careers.
6. Program Specific Outcomes (PSOs) :
Program outcomes for a Mathematics Department
typically define the specific skills, knowledge, and attitudes that students are
expected to acquire by the end of their studies. These outcomes guide curriculum
development and assessment and ensure that the program meets educational and
professional standards.
7.Course Outcomes (COS) :
Course outcomes for a Mathematics Department detail
the specific abilities and knowledge students are expected to gain upon
completing individual courses. Here are examples of course outcomes for various
types of mathematics courses:
Calculus I
1.
Understanding of Limits and Continuity:
o
Explain the concepts of limits and continuity and apply them to evaluate limits
of functions.
2.
Differentiation Techniques:
o
Differentiate functions using various techniques and apply differentiation to
solve problems involving rates of change and optimization.
3.
Applications of Derivatives:
o
Use derivatives to analyze and sketch graphs of functions, identifying critical
points, inflection points, and asymptotes.
4.
Integration Basics:
o
Understand the concept of the definite and indefinite integral and apply basic
integration techniques.
Linear Algebra
1.
Matrix Operations:
o
Perform matrix operations including addition, multiplication, and inversion.
2.
Vector Spaces:
o
Understand the properties of vector spaces and subspaces, and apply them to
solve problems.
3.
Eigenvalues and Eigenvectors:
o
Compute eigenvalues and eigenvectors of matrices and use them in applications
such as diagonalization.
4.
Linear Transformations:
o
Understand and apply the concept of linear transformations between vector
spaces.
Differential Equations
1.
Solving First-Order Differential Equations:
o
Solve first-order differential equations using methods such as separation of
variables, integrating factors, and exact equations.
2.
Higher-Order Differential Equations:
o
Solve linear higher-order differential equations with constant coefficients and
apply methods such as undetermined coefficients and variation of parameters.
3.
Applications:
o
Model and solve real-world problems using differential equations, including
population models, mechanical vibrations, and electrical circuits.
Abstract Algebra
1.
Group Theory:
o
Understand the definition and properties of groups, subgroups, cyclic groups,
and permutation groups.
2.
Ring Theory:
o
Explain the concepts of rings, ideals, and ring homomorphisms, and apply these
concepts to solve problems.
3.
Field Theory:
o
Understand fields and their properties, and explore the applications of field
theory in solving polynomial equations.
Real Analysis
1.
Sequences and Series:
o
Analyze the convergence of sequences and series, including tests for
convergence.
2.
Continuity and Differentiability:
o
Understand the rigorous definitions of continuity and differentiability, and
apply these concepts to prove theorems.
3.
Integration:
o
Develop a deep understanding of the Riemann integral and its properties.
Probability and Statistics
1.
Probability Theory:
o
Understand the fundamental principles of probability, including conditional
probability and independence.
2.
Random Variables and Distributions:
o
Define and work with discrete and continuous random variables and their
probability distributions.
3.
Statistical Inference:
o
Perform hypothesis testing, confidence interval estimation, and regression
analysis.
Numerical Methods
1.
Numerical Solutions:
o
Apply numerical methods to solve mathematical problems such as root finding,
interpolation, and differentiation.
2.
Error Analysis:
o
Analyze the accuracy and stability of numerical algorithms.
3.
Implementation:
o
Implement numerical algorithms using computational software and programming
languages.
Discrete Mathematics
1.
Logic and Proof Techniques:
o
Understand and apply logical reasoning and proof techniques, including induction
and contradiction.
2.
Combinatorics:
o
Solve problems in combinatorics, including permutations, combinations, and the
Pigeonhole Principle.
3.
Graph Theory:
o
Understand the basic concepts of graph theory and apply them to solve problems
involving networks and relationships.
Mathematical Modeling
1.
Model Formulation:
o
Develop mathematical models to represent real-world systems and scenarios.
2.
Analytical and Numerical Solutions:
o
Solve models using both analytical and numerical methods.
3.
Interpretation and Validation:
o
Interpret the solutions of models and validate them against real-world data.
These course outcomes ensure that students acquire
the essential skills and knowledge from each course, preparing them for advanced
studies and professional careers in mathematics and related fields.
8. Core Values :
1. To enhance apensons problem
2. Solving capacity
3. Analyzing
concept
4. Definitions arguments
9.Teaching Methods :
1. Lecture method
2. Collaborative presentation
3. Group discussion
10. Number Of Teaching Posts
:
Two (02)
11. Student-Teacher Ratio : 8:1
12. Seminars Organized :
1. Application of Calculus in Real Life
2. Application of Discrete Mathematics in Real
Life.
13. Students' Progression
POSTGRADUATE (PG) : 04
14. Students' Progression
BACHELOR OF
EDUCATION (B.Ed.) : 02
15. Students' Progression
OTHERS: 01
16. Details of Infrastructure Facilities
i.Library:
YES
ii.Internet Facility: YES
iii.Classroom with ICT Facility:YES
iv.Laboratory: YES
17. Participation of students in Institutional social responsibility and
Extension activities:
The
Students of our departments participate in NSS, YRC, Career counselling, student
exchange programme, Sports activities, departmental activities like Seminar,
welcome meeting, Farewell meeting other observance of National day and other
Social activities which is organised by department and also participated in
various Programmes which is organised by our college like cultural programme,
competition Programme i.e. essay, debate, song, quiz,alpana etc.