AVT09858

BSc in Mathematics

Explore quantity, shape, structure and change, and engage in discovery and conjecture.

To do Mathematics is to engage in an act of discovery and conjecture, intuition and inspiration …”

Paul Lockhart

Who should join us? 

This programme is for those who love mathematics and want to excel in it. But this programme is also for those who are eager to explore the world of Mathematics and see how they fit in it. We encourage students from disadvantaged backgrounds, who would like to avail of a good quality mathematics education, to join.

Our programme enables students who are seeking a pathway for higher studies in Mathematics, as well as students who are looking for mathematical and statistical skills to enable them to perform well in the job market. 

Our programme is also tailored for those who seek to become mathematics teachers and education specialists.

The study of mathematics help us develop the capacity to think, reason and model a wide range of situations. It helps us think, speak and write with precision. It provides the language for representing knowledge across domains and the tools for solving problems in almost every field. Mathematical and statistical models underlie modern technology and innovation. A student of mathematics is equipped with a problem-framing and problem-solving mindset.

We help you experience the joy of mathematics

Mathematics is a creative field. Our programme helps all students to acquire a taste for mathematics, and to engage with it as in a game. At the same time, we help students use their knowledge and skills to become capable and responsible citizens.

Classrooms, Clubs and Studio experiences

We will use classrooms, laboratories, club activities, exhibitions and events to engage with mathematics. Mathematics learning happens over discussions in the cafetaria, group presentations, book readings, modeling, knitting, drawing and music. And also in the classrooms!

Why study with us?

We offer Interdisciplinary Openness

Our programmes encourage you to explore and follow your interests. We design our courses to ensure that you can specialise in a subject of your choice while learning various subjects across disciplines.

A Common Curriculum for all students

You will meet all your classmates at the beginning of your course to build all the tools you need for your four years of study. This includes foundational courses, an understanding of India, interdisciplinary studies, and courses in creative expressions.

We provide Academic Assistance

Our consistent academic assistance through language support, peer tutoring, faculty mentorship, etc., ensures that you meet the programme’s academic requirements.

We ensure Financial Support

We extend need-based financial assistance to students that cover tuition and accommodation expenses.

Programme Structure

This programme will help you understand the practice of mathematics. We help you recognise patterns in geometric, numerical and algebraic forms, abstraction and the interpretation of mathematical arguments. You will learn to apply mathematical ideas creatively and precisely and understand complex mathematical texts.

The Common Curriculum will introduce students to the study of the themes and areas that emphasise and build critical and analytical abilities, and sensibilities for dialogue, reflection and cooperative learning. The Common Curriculum has three sub-components organised as below:

Foundations: Build capacity for critical thinking, reasoning and communication.

Understanding India: India’s history, society and possible future.

  • Creative Expressions

    This component of the Common Curriculum aims to introduce students to the value of aesthetic exploration in education. We aim to do this by drawing from the experiences of students, whether in physical activity, art, or craft. Such experiences are important to understand the world, relate to the diversity of communities, and for overall wellbeing. All this is achieved through activities that have specific credits allotted to them.

These core courses focus on mathematical language and thinking and explore a rage of topics. These courses set the tone for higher mathematics and help you with logical and analytical thinking, proof techniques and the communication of arguments.

Our core courses sometimes require an understanding of other scientific disciplines, and to ensure that you are able to study with ease, we offer you supportive courses in methods, chemistry, physics and biology. You have to study programming, a laboratory based course, and one course in economics or philosophy.

  • Analysis I

    Disciplinary Major

    This course focuses on the structure of the real line and functions on the reals. Notions of convergence and continuity are studied and also some important results in calculus about these concepts, and the properties of the real line that lead to these results.

  • Analysis II

    Disciplinary Major

    Continuing our study of real numbers and their properties, we study functions on reals and their properties through some theory of differentiation and integration. We will also study how these two concepts are related.

  • Analysis III

    Disciplinary Major

    In this third course in the analysis sequence, we study the calculus of functions of two or three variables and interpret the fundamental theorems of calculus in higher dimensions, and which have rich applications in the physical sciences.

  • Ring Theory

    Disciplinary Major

    Delves deep into inquiries like - Is -2 a prime number? Why do integers and polynomials have same the division algorithm? Why does algebra shed light on the geometry of polynomial curves? - and many more, offering comprehensive answers and insights.

  • Linear Algebra

    Disciplinary Major

    The plane is thought to be two-dimensional, experienced space as three-dimensional and represent them by coordinate systems. This course leads to vector spaces and linear maps which crop up everywhere in mathematics.

  • Probability and Statistics I

    Disciplinary Major

    In this course you will learn how to represent chanciness mathematically and construct mathematical models for games of chance.

  • Groups and Symmetries

    Disciplinary Major

    Provides you with the knowledge needed to address challenges related to symmetry with precision and a deep understanding.

  • Discrete Mathematics

    Disciplinary Major

    Discrete mathematics is the study of structures like graphs, lattices etc which are finite, or infinite without being dense. Reasoning about them involves counting, permutations and combinations, probability and more.

Students must be prepared for the world of work at the end of the programme should they choose to enter it. We aim to provide the required skills and competencies for this through a Minor featuring courses in an Occupational or Interdisciplinary theme. These sets of courses are aimed to provide both conceptual understanding and skills and tools that will allow students to contribute through work and further study.

Students can opt for a minor in any one of the indicative areas listed below:

  • Education
  • Media and Journalism
  • Data and Democracy
  • Sports and Fitness
  • Climate Studies
  • Arts

The selection of these indicative areas is based on the availability of courses and our evaluation of the student’s interests and academic needs. For each cohort, a final list of available courses will be announced at the end of their second semester.

Students can craft their own educational experience by selecting courses in the following ways:

  • Students will have the option to take additional courses in their Disciplinary major
  • Students will have the option to take additional courses in another discipline as a minor
  • Interdisciplinary minor that will enable them for their further higher studies or career pathways.

These courses could also be selected to enhance and broaden their

  • Language skills and Quantitative reasoning capacities/​programming skills
  • Understanding of themes outside their Major subject.

Classroom Practices

Mathematics classroom practice is based on Inquiry-Based Learning in the first year. This means that students are encouraged to frame problems, identify the assumptions, axioms and definitions required and then proceed to derive results or theorems and thus engage in mathematical discovery. These practices are further grounded in learning behaviours encouraging discussion, sharing, collaboration and are designed to erase differences of background, linguistic ability, gender differences, etc. among the students.

Classroom work is supported by experimental, modelling and computational activities in the vibrant Mathematics Studio. Most courses of study have lectures, tutorials and lab components. Computer programming is taught at an early stage. Students are encouraged to take up project work, where the faculty mentor them. 

Students learn in a conducive atmosphere with opportunities for multiple modes of learning and expression at every stage.

Selected Honours Projects:

2020

  • Fat-tailed Distributions: Statistical Properties and Applications, Anjali Susan Oommen, mentored by Shailaja D Sharma
  • Topological Data Analysis, Madhuleka V Iyer, mentored by Divakaran D
  • Understanding Alexander S Theorem (Knot Theory) through the Lens of Algorithm, R. Vijayashri, mentored by Shantha Bhusha
  • Godel’s First Incompleteness Theorem, Tanu Prasad, mentored by Divakaran D
  • Integer Multiplication in Time O(n log n), Vighnesh V. Iyer, mentored by Divakaran D

Our Graduates:

  • Pursuing higher studies in Mathematics
  • Pursuing higher studies in Management
  • Pursuing civil services exams
  • In the teaching profession
  • Coders in gaming industry
  • Insurance/​actuarial practice
  • Data anlalytics jobs/​internships
  • Management trainees
  • Education software

Roles: [ listing down some of the roles]

  • Data Analyst
  • Research Assistant
  • Project Assistant
  • Assistant Manager/​Manager
  • Teacher

Resources

Partnerships and Collaborations:

BMTC (Bangalore Mathematics Teachers’ Circle) is an initiative within which undergraduate Mathematics teaching and learning experiences are shared across members of the professional community. This initiative is a collaboration between the Mathematics teachers at the University as well as several other colleges and Universities across the country.

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