(Under)Graduate research opportunities
Interested in doing some research with me? I try to gather some ideas at the frontier between mathematics and computer science with particular emphasis on data processing and analysis for image and signal processing/pattern recognition/artificial intelligence.- Interested in mathematical image processing? Here is an opportunity to study distance transforms and scale-space representations for pattern recognition purposes
Math-301: Numerical analysis 2
- Syllabus
- You can find Matlab help here and here . (I can only advise you to have a look at this website)
- Homeworks
- Final review sheet ... for the motivated ones
- Homework 8 is due Tuesday, March 11. Here is the sample matlab code.
- Homework 7 is due Thursday, February 27. Here is the sample matlab code.
- Homework 6 is due Tuesday, February 17. Here is the sample matlab code.
- Midterm as homework is due Tuesday, February 11. - Here is the sample matlab code for the homework sheet. The archive contains some examples of figures you should be obtaining (plus/minus changes according to your graphical taste)
- Homework 4 is due Tuesday, February 4.
- Homework 3 is due Tuesday, January 28. Here is the sample matlab code.
- Homework 2 is due Tuesday, January 21. Here is the sample matlab code. You can find a suggested solution.
- Homework 1 is due Tuesday, January 14. Here is the sample matlab code. You can find a suggested solution.
Math-300: Numerical analysis 1
- Syllabus
- You can find Matlab help here and here . (I can only advise you to have a look at this website)
- Assignment 5 (Due Wednesday, 27th of November)
- Assignment 4 (Due Monday, 4th of November)
- Assignment 3 (Due Monday, 14th of October)
- Assignment 2 (Due Monday, 7th of October)
- Assignment 1 (Due Wednesday, 2nd of October)
- Homeworks
- Homework 10 due Monday, December, 2nd.
- Homework 9 due Monday, November, 25th.
- Homework 8 due Monday, November, 18th.
- Homework 7 due Monday, November, 11th. You can also retake a look at today's quiz if you want to.
- Homework 6 due Monday, November, 4th.
- Homework 5 due Monday, October, 28th.
- Review for the midterm
- Homework 4 due Tuesday, October, 15th.
- Homework 3 due Monday, October, 7th. Here is a suggested solution.
- Homework 2 due Monday, September, 30th. Here is a suggested solution.
- Homework 1 due Wednesday, September, 25th. Here is a suggested solution.
Math-262: Differential equations
- General documents:
- Labs
- Week 9: Exercise sheet
- Week 8: Exercise sheet
- Week 7: Exercise sheet
- Week 6: Exercise sheet and Matlab source
- Week 5: Exercise sheet and Matlab source
- Week 4: Exercise sheet and Matlab source
- Week 3: Exercise sheet and its solution and Matlab source
- Week 2: Exercise sheet and Matlab source
- Week 1: Exercise sheet and Matlab source . Here are some suggested solutions
- Notes (these are just to help you. They do not replace the lectures nor any textbook)
Math-101: Introductory analysis
- Exercises
- Homeworks for week 3 . Corrections can be found here.
- Homeworks for week 4 . Corrections can be found here.
- Homeworks for week 5 . Corrections can be found here. (not uploaded yet)
- Homeworks for week 6 . Corrections can be found here.
- Homeworks for week 7 . Corrections can be found here. (Not uploaded yet)
- Quizzes and exams
- Preparation for quizz 1 and here is the quiz and here are the answers
- Preparation for quizz 2 and here is the quiz and here are the answers
- Preparation for quizz 3 and here is the quiz and here are the answers
- Sorry, no preparation for the quiz this week... here is the quiz and here are the answers
- Preparation for the MidTerm 1 and here is the Mid-Term (not uploaded yet) and here are the answers (not uploaded yet)
- Preparation for quizz 6 (with inline corrections) and here is the quiz and here are the answers
- Preparation for the MidTerm 2
- No preparation this week, but a major document as a review for the final. Here is the quiz anyway.
- A preparation for the final. You can find the solutions here , but try to have a look at them only if you really have trouble solving the exercises. Good luck!
- Notes (this is intended as an help. It is not mistake free)
- Functions - I: Basics This document roughly covers what we have done during the first week
- Functions - II: Linear functions and applications - Polynomials and rationals - Log and exp This document covers some examples and applications of diverse kinds of functions
- Quadratic, polynomial and rational functions in a nutshell
- Financial mathematics Some notes about interests and annuities to understand loans and investments
- Systems and matrices These notes are not completely done but contain most of what is needed to understand this topic.
Math-680: Mathematics of genome analysis
Note: I was not the instructor for that course. I only did a short introduction to Matlab and R programming for it.- Introduction to Matlab
- Introduction to R -- This is still work in progress. Check for future updates!
- Matlab functions (zip file)
- Proposed solutions (zip file too)
- Introduction to R
- Introduction to R -- This is still work in progress. Check for future updates!
- R functions (zip file)
- Proposed solutions (zip file too)