## CHEM1003: Further Quantitative Chemistry

**Course Organizer: Dr Jamie Christie**

**Lecturers: Prof Nik Kaltsoyannis, Dr Jamie Christie, Dr Martyn Zwijnenburg**

Normal prerequisite: A2 Maths or AS Maths

Units: 1/2

Moodle page: http://moodle.ucl.ac.uk/course/view.php?id=3499

#### Aims

The aim of this course is to provide students with the basic mathematical skills required for a degree in Chemistry.

#### Objectives

By the end of the course, students will be able to

- Perform differentiation and integration of functions with one variable
- Perform partial differentiation and integrate functions with more than one variable
- Solve simple differential equations
- Understand complex numbers
- Manipulate matrices

#### Course Structure

- Lectures: 39
- Tutorials: 0
- Labs: 0

#### Assessment

- Exam: 50% (3 X 1 hours)
- Lab: 0%
- Coursework: 50%

#### Practical course organizer:

N/A

#### Recommended Texts

- "Foundations of Science Mathematics" by D S Sivia and S G Rawlings, Oxford Chemistry Primers Series (no 77), Oxford University Press.
- "Maths for Chemists" Vol I and II, MCR Cockett and G Doggett, Royal Society of Chemistry, 2004
- "Maths for Chemistry" by Paul Monk, Oxford University Press, 2006

#### Further Reading

- "Foundations of Science Mathematics: worked problems" by D S Sivia and S G Rawlings, Oxford Chemistry Primers Series (no 82), Oxford University Press.

### Course Outline

An optional 1st year Chemistry course. Students studying this course take a selection of modules from the 1001 maths course.

Assessment on this course will be made on the basis of coursework
(50%) and written examinations (50 minutes each) at the end of each
module (50%). There is no final examination for this course.

**Module 2: Calculus of functions with one variable (JC)**

Differentiation; simple rules for differentiation; differentiating special
functions (e.g. exp, ln, sin, cos); product rule; quotient rule; functions of
functions; second derivatives; integration; evaluating integrals; properties of
integrals; integration by substitution; integrating by parts; solving
differential equations by separation of variables.

**Module 4: Advanced calculus (NK) **** **Revision of differentiation; Taylor series; partial derivatives; revision
of integration; integration of functions with more than one variable;
differential equations; vectors; dot and cross products.

**Module 5: Complex numbers and matrices (MZ) **Complex numbers; polar coordinates; modulus; complex conjugate; De
Moivres theorem; evaluating integrals; determinants; matrices; matrix
multiplication; inverse of a matrix; eigen-values.