Mathematical methods in chemistry
CH-250
Media
General information
LECTURE ROOM GC A 330
Lectures on Tuesday mornings from 9h15 to 11h00.
EXERCISE ROOM CM 1 221
Exercises on Wednesday afternoon from 16h15 to 18h00 given by Davide, Fabian and Jakub.
P. Dyke, An introduction to Laplace transforms and Fourier series, Springer, 2014
(The e-book version is free through EPFL library. I recommend ordering a printed “MyCopy” version for only 25.-, again thanks to the EPFL subscription).
Bishop, D. M., Group Theory and Chemistry (Dover, 1993).
Cotton, F. A. Chemical Applications of Group Theory. (John Wiley & Sons, 1990).
Walton, P. H. Beginning Group Theory for Chemistry. (Oxford University Press, 1998).
Interactive 3D illustrations of molecular symmetry
http://chemdata.r.umn.edu/resources/models360/models.php
Part II – Symmetry and Group Theory (general information)
Video recordings of the course given by Prof. Ulrich Lorenz
Lecture notes by Prof. Ulrich Lorenz (with minor edits by Prof. Jiri Vanicek)
Reference books:
Bishop, D. M., Group Theory and Chemistry (Dover, 1993).
Cotton, F. A. Chemical Applications of Group Theory. (John Wiley & Sons, 1990).
Walton, P. H. Beginning Group Theory for Chemistry. (Oxford University Press, 1998).
Interactive 3D illustrations of molecular symmetry
http://chemdata.r.umn.edu/resources/models360/models.php
Final exam information: Final exam will be only on the symmetry and group theory part of the course (not on Laplace transforms and Fourier series).
Date: Tuesday 27. 5. 2025, starting time: 8 h 45
Room: GR B3 30
- Final exam 2025 (File)
- Final exam solutions 2025 (File)
- Flow chart for determining a point group + character tables (File)
- Exam 2024 (File)
- Solution 2024 (File)
- Exam 2023 (File)
- Solution 2023 (File)
Part II materials (Lecture 1)
- Lecture 1 - A (URL)
- Lecture 1 - B (URL)
- Lecture notes for lecture 1 (File)
- Handout for lecture 1 (File)
- Exercise 1 (File)
- Solution 1 (File)
Part II materials (Lecture 2)
- Lecture 2 - A (URL)
- Lecture 2 - B (URL)
- Lecture notes for lecture 2 (File)
- Handout lecture 2 (File)
- Exercise 2 (File)
- Solution 2 (File)
Part II materials (Lecture 3)
- Lecture 3 - A (URL)
- Lecture 3 - B (URL)
- Lecture notes for lecture 3 (File)
- Handout for lecture 3 (File)
- Lecture notes for the second part of lecture 3 (File)
- Handout for the second part of lecture 3 (File)
- Mathematical supplement 1 (File)
- Exercise 3 (File)
- Solution 3 (File)
Part II materials (Lecture 4)
- Lecture 4 - A (URL)
- Lecture 4 - B (URL)
- Lecture 5 (URL)
- Lecture 6 - A (URL)
- Lecture 6 - B (URL)
- Lecture 7 (URL)
- Exercise 4 (File)
- Solution 4 (File)
- Handout for lecture 4 (File)
- Lecture notes for lecture 4 (File)
Part II materials (Lecture 5)
- Lecture 8 - A (URL)
- Lecture 8 - B (URL)
- Lecture 9 (URL)
- Lecture notes for lecture 5 (File)
- Handout for lecture 5 (File)
- Exercise 5 (File)
- Solution 5 (File)
Part II materials (Lecture 6)
- Lecture 10 - A (URL)
- Lecture 10 - B (URL)
- Lecture notes for lecture 6 (File)
- Exercise 6 (File)
- Solution 6 (File)
- Handout for lecture 6 (File)
Part II materials (Lecture 7)
Part I: Laplace transforms and Fourier series (General information)
P. Dyke, An introduction to Laplace transforms and Fourier series, Springer, 2014
(The e-book version is free through EPFL library. I recommend ordering a printed “MyCopy” version for only 25.-, again thanks to the EPFL subscription).
Part I materials (Exam related)
- Exam 2024: Solutions (File)
- Exam 2024: Text (File)
- Formula sheet (File)
- Example: Exam from 2023. (File)
- Example: Solutions of the exam from 2023. (File)
- Approach from the lecture to solving PDEs with Fourier series: Schroedinger equation (File)
- Midterm exam 2025 (File)
- Midterm exam 2025 solutions (File)
Part I materials (Lecture 1)
Part I materials (Lecture 2)
- Video Lecture 2: April 28, 2021 (URL)
- Lecture 2 slides (File)
- Exercises 1: Solutions (File)
- Homework 1 (File)
- Exercises 2 (File)
Part I materials (Lecture 3)
- Video Lecture 3: May 5, 2021 (URL)
- Solving linear ODEs with the Laplace transform (File)
- Exercises 2: Solutions (File)
- Exercises 3 (File)
- Homework 1: Solutions (File)
- Homework 1: Alternative Solutions (File)
Part I materials (Lecture 4)
- Video Lecture 4: May 12, 2021 (URL)
- Exercises 3: Solutions (File)
- Exercises 4 (File)
- Homework 2 (File)
Part I materials (Lecture 5)
- Video Lecture 5: May 19, 2021 (URL)
- Lecture 5 slides (File)
- Solving partial differential equations with the Fourier series: the Schrödinger equation (File)
- Exercises 4: Solutions (File)
- Exercises 5 (File)
Part I materials (Lecture 6)
- Video Lecture 6: May 26, 2021 (URL)
- Exercises 5: Solutions (File)
- Exercises 6 (File)
- Exercise 6: Solutions (File)
- Homework 2: Solutions (File)
- Alternative solution to exercise 6 problem 1 (File)