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KE529: Mathematic methods in Chemistry and Nanoscience (5 ECTS)

STADS: 10008301

Level
Bachelor course

Teaching period
The course is offered in the autumn semester.

Teacher responsible
Email: kongsted@sdu.dk

Additional teachers
hjj@sdu.dk
achim@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Monday 12-14 U146 37-38
Common I Monday 12-13 U146 39-41,43-45
Common I Tuesday 10-11 U146 36 Lokalet er kun frit til kl. 10.45.
H1 TE Tuesday 12-14 U146 37,39-40,45
H1 TE Tuesday 14-16 U24A 38
H1 TE Tuesday 14-16 U103 41
H1 TE Tuesday 14-16 U10 43
H1 TE Tuesday 10-12 U107 44
H1 TE Wednesday 10-12 U145 36
H1 TL Wednesday 14-16 White Lab 44
H1 TE Thursday 12-14 White Lab 36
H1 TL Thursday 08-10 White Lab 36-40
H1 TE Thursday 14-16 White Lab 37-38
H1 TE Friday 12-14 White Lab 39
H1 TE Friday 10-12 White Lab 40
H1 TL Friday 10-12 White Lab 41,43
Show entire timetable
 Show personal time table for this course.

Prerequisites:
None

Academic preconditions:
FF502 and FF503is presumed known.

Course introduction
The purpose of this course is to introduce mathematical notation and mathematical methods for analysis of chemical problems. Emphasis will be on practical / computing aspects of the mathematical methods introduced in the course. The course also provides an introduction to the use of Maple for the analysis of more mathematically complex chemical problems.

Qualifications
The course will enable the student to analyze problems in chemistry with a mathematical approach and to perform calculations on typical mathematical-chemical problems.

Expected learning outcome
After completing the course the student is expected to be able to:

  1. Describe typical mathematical problems in chemistry using mathematics and possess an overview of the basic concepts of the mathematical methods used in chemistry.
  2. Formulate and reformulate typical mathematical models in chemistry for the description and analysis of chemical problems.
  3. Choose a computational approach and perform basic practical alculations related to mathematical-chemical problems.
Subject overview
  1. Chemical analysis of relevant mathematical functions of one or more variables and their partial derivatives and total differentials.
  2. Integration of chemically relevant functions with applications in particular to thermodynamics and quantum chemistry.
  3. Sequences and series with special focus on the use of application of Taylor series in chemistry.
  4. Introduction to complex functions.
  5. Differential equations with applications to chemical problems such as chemical reaction kinetics, the harmonic oscillator and particle in a box.
  6. Linear algebra (vectors, matrices, solution linear systems of equations, determinants, eigenvalues and eigenvectors) and its application in chemistry and especially quantum chemistry, spectroscopy and symmetry.
  7. Numerical methods (interpolation, numerical integration, minimization), as well as their use in the analysis of chemical problems.
Literature
  • Erich Steiner: The Chemistry Maths Book, Oxford University Press, 2. Udgave.


Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Oral exam. Evaluated by the danish 7 mark scale by internal censorship (5 ECTS). The exam consists of a presentation of one of the subjects from the subject overview and a presentation of a miniproject.  

Reexam in week 9. The mode of the reexamination can differ from the mode of the ordinary exam.



Expected working hours
The teaching method is based on three phase model.
Intro phase: 12 hours
Skills training phase: 46 hours, hereof:
 - Tutorials: 46 hours

Educational activities

Language
This course is taught in Danish.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.