Mathematical methods in chemistry
Summary
This course consists of two parts. The first part covers basic concepts of molecular symmetry and the application of group theory to describe it. The second part introduces Laplace transforms and Fourier series and their use for solving ordinary and partial differential equations in chemistry & c.e.
Content
Part I
Molecular symmetry and point groups
Group theory
Representations of groups, the Great Orthogonality Theorem, character tables
Group theory and quantum mechanics, applications to molecular orbital theory and normal modes of vibration
Part II
Laplace transform, convolution, and solution of ordinary differential equations
Fourier series, separation of variables, and solution of partial differential equations
Applications of integral transforms in chemical kinetics, chemical engineering, and physical chemistry
Assessment methods
Part I (Lorenz): midterm exam 100%
Part II (Vanicek): homeworks 30% + midterm exam 70%
The points from the two parts are combined to form the final grade.
Resources
Bibliography
1. Cotton, F. A. Chemical Applications of Group Theory. (John Wiley & Sons, 1990).
2. Walton, P. H. Beginning Group Theory for Chemistry. (Oxford University Press, 1998).
3. P. Dyke, An introduction to Laplace transforms and Fourier series, Springer, 2014.
Ressources en bibliothèque
- An introduction to Laplace transforms and Fourier series / Dyke
- Beginning group theory for chemistry / Walton
- Chemical applications of group theory / Cotton
Références suggérées par la bibliothèque
In the programs
- Semester: Spring
- Exam form: During the semester (summer session)
- Subject examined: Mathematical methods in chemistry
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: During the semester (summer session)
- Subject examined: Mathematical methods in chemistry
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks