Module CHEM1121: Mathematical Methods for Chemists

Department: Chemistry

CHEM1121: Mathematical Methods for Chemists

Prerequisites

• A-level or equivalent in Chemistry AND Mathematics.

Corequisites

• Foundations of Chemistry: Atoms, Bonding & Energetics (CHEMXXX).

Excluded Combination of Modules

• None

Aims

• To introduce and reinforce background material and skills in mathematics of central importance to understanding and application in later chemistry modules.

Content

• Background material and skills in mathematics.
• Solving differential equations by integration. Functions of many variables, partial differentiation, stationary points, total derivative.
• Complex numbers. Matrices and matrix algebra. Determinants. Eigenvectors and eigenvalues. Coordinate systems.
• Measurement of uncertainties. Statistical distributions. Propagation of uncertainties. Regression. Hypothesis testing.
• Vectors, equations of motion, force and momentum, circular motion, angular momentum, harmonic motion, anharmonicity, travelling and standing waves, charge and charge distribution, electric and magnetic fields.

Learning Outcomes

• Use of mathematical models to describe simple physical problems.
• Analysis of statistical data and uncertainties arising from experiments.

• Solve chemical problems.
• Develop mathematical solutions to basic chemical problems.

• Apply mathematical tools to develop and solve physical problems.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

• Lectures are used to convey concepts, demonstrate what is required to be learned and the application of the theory to practical examples. When appropriate, lectures will be supported by written material, or by information and relevant links on Blackboard Learn Ultra.
• Workshops are where groups of students consider problems and explore common shared difficulties. Problem exercises provide students the chance to develop their theoretical understanding and problem-solving skills. This ensures that students have understood the work and can apply it to real life situations. These are formatively assessed.
• Private study should be used by students to develop their subject-specific knowledge and self-motivation, through reading textbooks and literature. Students will be able to obtain further help in their studies by approaching their lecturers, either after lectures or at other mutually convenient times.
• Student performance will be assessed through examinations. Examinations test students' ability to work under pressure under timed conditions, to prepare for examinations and direct their own programme of revision and learning and develop key time management skills. The examination will provide the means for students to demonstrate the acquisition of subject knowledge and the development of their problem-solving skills.

Teaching Methods and Learning Hours

Summative Assessment

Formative Assessment:

Set work in preparation for workshops.

■ Students who do not attend monitored activities shown under Teaching Methods and Learning Hours, or who fail to complete the summative or formative assessment(s) specified above, may be subject to the Academic Progress procedures defined in the University's General Regulation V, and may be required to leave the University.