Content:
1. Calculus for Engineers (UMA 022)
2. Computational Number Theory (UMC742)
3. Financial Mathematics (UMC632)
4. Probability and Statistics (UMA 401L)
5. Optimization Techniques (UMA 303L)
6. Introduction to Analysis (M 200)
7. Real Analysis 1 (Periodic functions and Fourier Series, Trigonometric functions, Measure and Lebesgue measure)
8. TA Duty, IIT Guwahati (2017-2020) : Multivariable calculus, Linear Algebra, Complex Analysis, ODE, PDE.
9. Tutorial duty: Advanced instructional school on modular forms, IIT Guwahati, 2019.
Teaching:
Algebra:
Assignment 1 (submission link)
Assignment 2 (Submission link)
Number Theory Notes:
Note 1 Note 2 Note 3 Note 4 Note 5 Note 6 Note 7 Note 8
Calculus for Engineers (UMA 022), Thapar Institute of Engineering and Technology, 2025-26ODDSEM.
Note 1 Note 2 Note 3 Note 4 Note 5 Note 6 Note 7 Note 8 Note 9 Note 10 Note 11 Note 12
Note 13 Note 14 Note 15 Note 16 Note 17 Note 18 Note 19 Note 20 Note 21 Note 22 Note 23
Note 24 Note 25 Note 26 Note 27 Note 28 Note 29 Note 30 Note 31 Note 32 Note 33 Note 34
Note 35 Note 36 Note 37 Note 38 Note 39 Note 40
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Computational Number Theory (UMC742), Thapar Institute of Engineering and Technology, 2025-26ODDSEM.
Note 1 Note 2 Note 3 Note 4 Note 5 Note 6 Note 7 Note 8 Note 9 Note 10 Note 11 Note 12
Note 13 Note 14 Note 15 Note 16 Note 17 Note 18 Note 19 Note 20 Note 21 Note 22 Note 23
Note 24
Lab Assignment 1 Lab Assignment 2
MID SEM Exam (25-26ODD)
END SEM Exam (25-26ODD)
Practice test
Syllabus
Book 1
Book 2
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Financial Mathematics (UMC632), Thapar Institute of Engineering and Technology, 2025EVENSEM.
Syllabus
Textbook (Introduction to economics and mathematics of financial markets by Jakˇsa Cvitani´c and Fernando Zapatero)
Lecture Notes: Note 1 Note 2 Note 3 Note 4 Note 5 Note 6 Note 7 Note 8 Note 9 Note 10 Note 11 Note 12 Note 13 Note 14 Note 15 Note 16 Note 17 Note 18 Note 19 Note 20 Note 21 Note 22 Note 23 Note 24 Note 25 Note 26 Note 27 Note 28 Note 29 Note 30
Assignment submission-(January 29, 2025) Assignment submission -(February 19, 2025)
Assignment submission-(March 26, 2025) Assignment submission-(April 09, 2025)
Assignment submission-(April 16, 2025)
Lab question 1 Lab question 2 Lab questions 3 Lab Question 4 Lab Question 5
Practice questions
MID-SEM question paper 2024-2025EVEN
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Probability and Statistics (UMA 401L), Thapar Institute of Engineering and Technology. 2024-2025 ODD SEM, 2024-2025 EVEN SEM.
Lecture Notes: Note 1 Note 2 Note 2-1 Note 3 Note 4 Note 4-1 Note 5 Note 6 Note 7 Note 8 Note 9 Note 10 Note 11 Note 12 Note 13 Note 14 Note 15 Note 15-1 Note 16 Note 17 Note-17_1 Note-17_2 Note-17_3 Note 17-1 Note 18 Note 19 Note 20 Note 20-1 Note 21 Note 22 Note 23 Note 24 Note 25 Note 26 Note 27 Note 28 Note 29 Note 30 Note 31 Note 32 Note 33 Note 34 Note 34-1 Note 34-2 Note 34-2-II Note 35 Note 35-1 Note-35-11 Note 35-2 Note 35-3 Note 36
Note 36-I Note 37 Note 38 Note 39 Note 39-I Note 40 Note 40-1 Note 40-2 Note 41 Note 42 Note 43 Note 43-1 Note 43-2 Note 43-2-I Note 43-2-II Note 43-3 Note 44 Note 44-I Note 44-II Note 44-III Note 45 Note 45-I Note 46 Note 46-I Note 46-II Note 46-III Note 46-IV Note-46-V Note 47 Note 48
Materials (25-26EVEN): Lab 1 Lab 2 Lab 3 Lab 4 Lab 5 lab 6 lab 7 lab 8 lab 9 lab 10 lab 11
Assignment 1 Assignment 2 Assignment 3 Assignment 4 Assignment 5 Assignment 6
Lab assignments: Experiment 1 Experiment 5
Experiment 4 Experiments (for practice)
EndSEM and MidSEM question paper (2024ODD)
Textbooks:
1. Probability and statistics for engineers and scientists (By Walpole, Myers, Myers and Ye) ( Link)
2. MILLER & FREUND’S PROBABILITY AND STATISTICS FOR ENGINEERS. (Link)
3. Introduction of Mathematical Statistics, Hogg- McKean-Criag . (Link)
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Optimization Techniques (UMA 303L), Thapar Institute of Engineering and Technology. 2024-2025ODDSEM.
Lecture Notes: Note 1 Note 2 Note 3 Note 4 Note 5 Note 6 Note 7 Note 8 Note 9 Note 10 Note 11 Note 12 Note 13 Note 14 Note 15 Note 16 Note 17 Note 18 Note 19 Note 20 Note 21 Note22 Note23 Note 24 Note 25 Note 26 Note 27 Note 28 Note 29 Note 29-1 Note 29-2 Note 30 Note 31
Game Theory Notes
Goal Programming (Note 1 Note 2 Note 3)
syllabus (UMA303)
Syllabus(UMA034-UMA035)
Problem sheet
Practice Questions 1 Practice questions 2
MST Question Paper (25-26ODD)
EST Question Paper (25-26ODD)
MST Question paper (2024-2025 ODD)
EST Question paper (2024-2025 EVEN)
Text Books: 1. Operations Research, An Introduction (By H A Taha) Link
2. Linear Programming (G hadley) Link
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MSc Course, Ramakrishna Mission Vivekananda Educational and Research Institute (2022-2023): Introduction to Analysis (M 200)
Book: Principals of Mathematical Analysis, by W Rudin.
Question papers link: https://drive.google.com/drive/folders/1ahw6WRMOdatRfCjQGv_7jdMBulTXSezr?usp=share_link
7. MSc Course, Ramakrishna Mission Vivekananda Educational and Research Institute (2023)
Real Analysis 1 (Periodic functions and Fourier Series, Trigonometric functions, Measure and Lebesgue measure)
Book: Real Analysis, Royden and Fitzpatrick (https://drive.google.com/file/d/1DTxnPdftIYL9w04vQcX8vZ4k-yHtx14X/view?usp=share_link
Question Paper Link:
drive.google.com/drive/folders/16gDaPx1AT5ZyTuraY7Yg-XYbuxhsd3CG?usp=share_link
8. TA Duty, IIT Guwahati (2017-2020) : Multivariable calculus, Linear Algebra, Complex Analysis, ODE, PDE.
9. Tutorial duty: Advanced instructional school on modular forms, IIT Guwahati, 2019.