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CHEM1111: Mathematical and Experimental Tools required in Chemistry

Please ensure you check the module availability box for each module outline, as not all modules will run in each academic year. Each module description relates to the year indicated in the module availability box, and this may change from year to year, due to, for example: changing staff expertise, disciplinary developments, the requirements of external bodies and partners, and student feedback.

Type Open
Level 1
Credits 20
Availability Available in 2025/2026
Module Cap
Location Durham
Department Chemistry

Prerequisites

  • A-level or equivalent in Chemistry AND Mathematics.

Corequisites

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

Excluded Combinations 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

  • Background material and skills in mathematics, physics, statistics, biology and analytical techniques that are of central importance to material covered in other Chemistry modules.
  • 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.
  • Laboratory separation, purification and analysis methods including liquid-liquid extraction, crystallisation, sublimation, distillation, a variety of chromatography techniques and aspects of quantitation.
  • The structures of amino acids, nucleotides, proteins, sugars, enzymes. Cell structure.

Learning Outcomes

Subject-specific Knowledge:

  • Use of mathematical models to describe simple physical problems.
  • Analysis of statistical data and uncertainties arising from experiments.
  • Application of physical laws in classical mechanics, electrostatics, magnetism, waves and motion.
  • Familiarity with common analytical techniques in chemistry.
  • Knowledge of the structures and properties of biomolecules and cell organisation.

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

ActivityNumberFrequencyDurationTotalMonitored
Lectures362 per week1 hour36 
Problem Classes111 per week1 hour11Yes
Workshops31 in Term 2 and 2 Term 32 hours6Yes
Progress Test11 per year1 hour1Yes
Preparation and Reading146 
Total200 

Summative Assessment

Component: ExaminationsComponent Weighting: 90%
ElementLength / DurationElement WeightingResit Opportunity
On Campus Written Examination2 hours1002-hour On Campus Written Examination
Component: CourseworkComponent Weighting: 10%
ElementLength / DurationElement WeightingResit Opportunity
Progress Test11 hour100online exercise during July/August

Formative Assessment

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

More information

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