# Course Identification

Differential Equations for Chemists
20202011

## Lecturers and Teaching Assistants

Dr. Josephine Shamash

## Course Schedule and Location

2020
First Semester
Sunday, 11:15 - 13:00, FGS, Rm C
Tuesday, 11:15 - 13:00, FGS, Rm C
05/11/2019

## Field of Study, Course Type and Credit Points

Chemical Sciences: Lecture; Elective; Core; 3.00 points
Chemical Sciences (Materials Science Track): Lecture; Elective; Core; 3.00 points
Life Sciences (Molecular and Cellular Neuroscience Track): Lecture; Elective; Regular; 3.00 points
Life Sciences (Brain Sciences: Systems, Computational and Cognitive Neuroscience Track): Lecture; Elective; Regular; 3.00 points

N/A

## Prerequisites

Calculus, basic course in Linear Algebra and familiarity with working with matrices

30

English

## Attendance and participation

Expected and Recommended

Numerical (out of 100)

20%
80%

Examination

26/02/2020
FGS, Rm C
0900-1200
N/A

08/03/2020
FGS, Rm C
0900-1200
N/A

N/A

## Syllabus

This course is intended as both a refresher and a remedial course, giving an introduction to the following topics: first-order differential equations, second-order linear differential equations, linear algebra and systems of first-order linear equations, partial differential equations, Fourier series and boundary value problems. Example problems relevant to various aspects of chemistry will be used throughout the course.

## Learning Outcomes

Upon successful completion of the course students will be able to:

1. Recognize the role of mathematics in various scientific fields.
2. Integrate knowledge from diverse fields such as calculus, linear algebra, differential equations, Fourier series to formulate and analyze models that arise in chemical reactions, in biology (population dynamics and predator-prey interactions) and mechanics and electricity in physics.
3. Apply methods from linear algebra to solve linear differential equations and systems of linear differential equations.
4. Apply a variety of different methods to solve special types of ordinary differential equations.
5. Apply Fourier series, and use the tools of Fourier analysis to solve partial differential equations (heat equation and wave equation).