Undergraduate Programme and Module Handbook 2024-2025

# Module CHEM1111: Mathematical and Experimental Tools required in Chemistry

## Department: Chemistry

### CHEM1111: Mathematical and Experimental Tools required in Chemistry

Type | Open | Level | 1 | Credits | 20 | Availability | Available in 2024/2025 | Module Cap | Location | Durham |
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#### Prerequisites

- A-level or equivalent in Chemistry AND Mathematics.

#### Corequisites

- Core Chemistry 1 (CHEM1078) AND Practical Chemistry 1A (CHEM1087).

#### Excluded Combination of Modules

- None.

#### Aims

- To introduce and reinforce background material in cognate disciplines that are of central importance to material taught in later chemistry modules.

#### Content

- 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 uncertanities. Statistical distributions. Propagation of uncertainties. Regression. Hypothesis testing
- Vectors, equations of motion, force and momentum, circular motion, angular momentum, harmonic motion, waves, charge and charge distribution, electric and magnetic fields.
- Laboratory separation, purification and analysis methods including liquid-liquid extraction, crystallisation, sublimation, distillation, a variety of chromatography techniques and aspects of quantitation.
- To gain an appreciation of the main classes of biomolecules, amino acids, nucleotides, proteins, sugars, enzymes.

#### Learning Outcomes

Subject-specific Knowledge:

- Present mathematical models to describe simple physical problems.
- Analyse statistical data and uncertainties arising from experiments.
- Demonstrate an understanding of the physics of electrostatics, magnetism, waves and motion.
- Describe common analytical techniques in chemistry.
- Demonstrate an understanding of the principles of isolating and purifying products following a chemical reaction.
- Describe the structures and properties of biomolecules.

Subject-specific Skills:

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

Key Skills:

- 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.
- Problem classes are given to ensure that the students have grasped the concepts given in the lectures and to practice examples of problems. In preparation for the problem classes students attempt a set of defined problems. Problem classes will be formatively assessed. All work will be returned with feedback.
- 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.
- A progress test is held in January for students to assess their own learning and performance to improve their examination technique. It is an opportunity for them to assimilate the work completed in the first term. Papers are returned to students with model answers so that they can learn from the experience.
- 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

Activity | Number | Frequency | Duration | Total/Hours | |
---|---|---|---|---|---|

Lectures | 36 | 2 per week | 1 hour | 36 | |

Problem Classes | 11 | 1 per week | 1 hour | 11 | ■ |

Workshops | 2 | Term 3 | 2 hours | 4 | ■ |

Progress Test | 1 | 1 per year | 1 hour | 1 | ■ |

Preparation and Reading | 148 | ||||

Total | 200 |

#### Summative Assessment

Component: Examinations | Component Weighting: 90% | ||
---|---|---|---|

Element | Length / duration | Element Weighting | Resit Opportunity |

Written examination | 2 hours | 100% | |

Component: Coursework | Component Weighting: 10% | ||

Element | Length / duration | Element Weighting | Resit Opportunity |

Progress Test1 | 1 hour | 100% | Written examination (1 hour) |

#### Formative Assessment:

Set work in preparation for problem classes. Set work in preparation for workshops.

■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University