#### Course Structure

###### Semester 1

Communicative English

Language Paper I

Calculus

Discrete Structures

Problem Solving and Computer Programming

Introduction to Management and Finance

Cultural Education I

Problem Solving and Computer Programming Lab

PC Software Lab

#### Course Structure

###### Semester 2

Professional Communication

Language II

Real Analysis

Groups and Rings

Basics of Accounting

Accounting Lab

#### Course Structure

###### Semester 3

Rings, Vector Spaces and Fields

Real Analysis in Higher Dimension

Vector Calculus

Differential Equations

Statics

Environmental Science and Sustainability

Life Skills I

Amrita Values Programme I

#### Course Structure

###### Semester 4

Linear Algebra

Probability and Statistics

Numerical Methods

Fourier Series and Integral Transforms

Dynamics

Open Elective A*

Life Skills II

Amrita Values Programme II

Numerical Methods Lab (MAT Lab)

#### Course Structure

###### Semester 5

Operations Research

Applied Statistics

Basic Graph Theory and Combinatorics

Complex Analysis

Number Theory

Live-in-Labs# / Open Elective B*

Life Skills III

Statistics Lab

#### Course Structure

###### Semester 6

Optimization Theory

Topology

Special Functions

Formal Languages and Automata Theory

Calculus of Variations

Seminar

Project (for Exit-option students)

#### Course Structure

###### Semester 7

Ordinary Differential Equations

Stochastic Process

Elective I

Mathematics Lab

#### Course Structure

###### Semester 8

Partial Differential Equations

Measure Theory

Numerical Analysis

Numerical Computations Lab

#### Course Structure

###### Semester 9

Functional Analysis

Basic Fluid Dynamics

Elective II

Elective III

Seminar

Operator Theory

Elective IV

Dissertation

#### Electives

###### Algebra Stream

Algebraic Geometry

Algebraic Topology

Coding Theory

Commutative Algebra

Lie Algebra

Theory of Manifolds

Linear Algebra and its Applications

#### Statistics Stream

Queuing Theory and Inventory Control Theory

Random Process

Statistical Pattern Classifications

Statistical Quality Control and Six Sigma Quality Analysis

Theory of Sampling and Design of Experiments

Time Series Analysis

#### Computer Stream

Data Structures and Algorithms

Computer Aided Design of VLSI Circuits

Cryptography

Fuzzy Sets and its Applications

Introduction to Soft Computing

Object-Oriented Programming and Python

#### Analysis Stream

Fixed Point Theory

Fractals

Harmonic Analysis

Nonlinear Partial Differential Equations

Wavelet Analysis

Mathematical Physics

#### Fluid Mechanics Stream

Computational Fluid Dynamics

Finite Element Methods

Magneto-Hydro Dynamics

Mathematical Foundations of Incompressible Fluid Flow

* Two Open Elective courses are to be taken by each student, one each in the 4th and the 5th semesters, from the list of Open Electives offered by the School.

# Students undertaking and registering for a Live-in-Lab project, can be exempted from registering for an Open Elective course in the fifth semester.

#### Electives

###### (Common to all UG, Integrated Programme)

Basic Statistics

Creative Writing for Beginners

Desktop Support and Services

Development Journalism

Digital Photography

Emotional Intelligence

Essence of Spiritual Literature

Film Theory

Gender Studies

Glimpses of Indian Economy and Polity

Graphics and Web-designing Tools

Green Marketing

Healthcare and Technology

History of English Literature

Indian Writing in English

Industrial Relations and Labour Welfare

Introduction to Ancient Indian Yogic and Vedic Wisdom

Introduction to Computer Hardware

Introduction to Event Management

Introduction to Media

Introduction to Right to Information Act

Introduction to Translation

Linguistic Abilities

Literary Criticism and Theory

Macro Economics

Managing Failure

Media Management

Micro Economics

Micro Finance, Small Group Management and Cooperatives

New Literatures

Non-Profit Organisation

Personal Effectiveness

Perspectives in Astrophysics and Cosmology

Principles of Marketing

Principles of Public Relations

Science, Society and Culture

Statistical Analysis

Teamwork and Collaboration

Understanding Travel and Tourism

Videography

Vistas of English Literature

Web-Designing Techniques

Organic Farming

Basic Legal Awareness on Protection of Women & Rights

#### AMRITA VALUES PROGRAMME

##### (Common to all UG, Integrated Programme)

Message from Amma’s Life for the Modern World

Lessons from the Ramayana

Lessons from the Mahabharata

Life and Message of Swami Vivekananda

Life and Teachings of Spiritual Masters India

Insights into Indian Arts and Literature

Yoga and Meditation

Kerala Mural Art and Painting

Course on Organic Farming and Sustainability

Benefits of Indian Medicinal Systems

Temple Mural Arts in Kerala

Organic Farming in Practice

Ayurveda for Lifestyle Modification

Life Style and Therapy using Yoga

Hindi