IISER TVM Mathematics Study Notes
Comprehensive lecture notes and resources for the Mathematics major program
Welcome to our collaborative study resource! This is a growing collection of lecture notes, problem sets, and study materials compiled by mathematics students at the Indian Institute of Science Education and Research, Thiruvananthapuram (IISER TVM).
π About This Resource
This repository contains detailed notes from various mathematics courses, created and maintained by students for students. Our goal is to provide clear, comprehensive, and accessible study materials that complement classroom learning.
Contributors: SivasankaranRS (
Current Status: Year 3, Semester 6 (Spring 2026)
Format: Lecture notes, problem sets, assignments, and question papers
π Current Semester: Semester 6
Core Courses
Data Structures and Algorithms
17 Lectures | Sorting algorithms, linked lists, stacks, trees, and algorithmic complexity
Topics Covered:
- Sorting: Merge Sort, Insertion Sort, Quick Sort
- Data Structures: Arrays, Linked Lists, Stacks, Queues
- Algorithm Analysis: Time & Space Complexity, Big-O Notation
- Recursion and Divide-and-Conquer
Resources: Lecture notes, previous year question papers
Galois Theory
19 Lectures | Field extensions, algebraic structures, and solvability of polynomials
Topics Covered:
- Field Theory and Extensions
- Galois Groups and Fundamental Theorem
- Solvability by Radicals
- Applications to Classical Problems
Resources: Lecture notes, assignments, question papers
Measure Theory
18 Lectures | Measure spaces, integration theory, and convergence theorems
Topics Covered:
- Ο-algebras and Measurable Spaces
- Lebesgue Measure and Integration
- Convergence Theorems
- Lp Spaces
Resources: Lecture notes, assignments, question papers
Ordinary Differential Equation
21 Lectures |
Topics Covered:
- Homogenous Differential Equation
- Existence, Uniqueness, and Stability
- Convergence Theorems
- System of DE
Resources: Lecture notes, assignments, question papers
Topology
19 Lectures |
Topics Covered:
Resources: Lecture notes, assignments
ποΈ Future Semesters
Coming soon! This section will be updated as we progress through the program.
Semester 7 (Fall 2026)
- To be added
Semester 8 (Spring 2027)
- To be added
π― How to Use These Notes
- Browse by Course: Navigate to the semester and course youβre interested in
- Lecture-by-Lecture: Notes are organized chronologically by lecture date
- Search: Use the search function to find specific topics
- Practice: Check out assignments and previous question papers
β οΈ Disclaimer
These notes are student-compiled resources and should be used to supplement, not replace, official course materials. While we strive for accuracy, errors may occur. Always verify with your course instructors and textbooks.
π€ Contributing
These notes are a collaborative effort. If youβre a fellow student and would like to contribute:
- Submit corrections or improvements
- Add notes from other courses
- Share problem solutions and insights
π« About IISER TVM
The Indian Institute of Science Education and Research, Thiruvananthapuram is a premier autonomous institution dedicated to undergraduate and postgraduate education and research in basic sciences. The BS-MS dual degree program integrates teaching and cutting-edge research, providing students with a strong foundation in science and mathematics.
Learn more: IISER Thiruvananthapuram
π License & Usage
These notes are shared for educational purposes. Please use them responsibly and give credit where due.
Last Updated: February 2026
Happy Learning! πβ¨