By the end of this module, students will be expected to be able to:
- Understand and use basic arithmetic and algebra.
- Ability to plot basic graphs and find key points on graphs.
- Understand and use differentiation to find the gradient of functions and interpret the rate of change.
- Ability to convert between units and compute molarity and concentration calculations.
- Understand basic statistics and calculate measures of centrality and spread.
- Understand the differences between qualitative and quantitative data and how to choose the right chart or graph for a given data.
- Understand and interpret basic statistical graphs.
- Ability to calculate the centrality and spread from frequency distribution tables.
- Understand basic concepts of probability.
- Understand the normal distribution and be familiar with reading statistical tables.
- Understand basic statistical inference and be able to construct simple hypothesis tests.
Skills for your professional life (Transferable Skills)
By the end of this module, you will have practised the following transferrable skills:
1. Analytical Skills. Mathematics will enhance your ability to:
- Think clearly.
- Pay attention to detail.
- Manipulate precise and intricate ideas.
- Follow complex reasoning.
- Construct logical arguments and expose illogical ones.
2. Problem-solving Skills. You will be given countless mathematical problems to solve. Experience with these will teach you to:
- Formulate a problem in precise terms, identifying the key issues.
- Present a solution clearly, making your assumptions explicit.
- Gain insight into a difficult problem by looking at special cases or sub-problems.
- Be flexible and approach the same problem from different points of view.
- Tackle a problem with confidence, even when the solution is not obvious.
- Seek help when you need it.
3. Investigative Skills. During the course of the module, you will sometimes find yourself trying to understand mathematics that seems too hard, and trying to solve problems that at first seem impossible. You should find yourself:
- Looking up lecture notes, textbooks and reference books.
- Scouring the library.
- Extracting information from every mathematician you meet (other undergraduates, postgraduates, tutors and lecturers).
4. Communication Skills. You will develop a capacity to assimilate and communicate highly technical information. During lectures, you will be required to organise and record a mass of mathematical detail, both spoken and written. Classroom and lab exercises will call for clear mathematical exposition. Through these experiences you will have the opportunity to learn how to:
- Listen effectively.
- Write mathematics well.
- Write essays and reports.
5. IT Skills. You will have access to computing facilities. You will have the opportunity to:
- Learn the syntax of Mathematics.
- Solve problems using mathematical software (Numbas/Excel).
6. Good Working Habits. To be a successful mathematics student you will have to:
- Be thorough and painstaking in your work.
- Organise your time and meet deadlines.
- Work under pressure, especially near exam time.
- Work independently, without constant support from teachers.
- Work cooperatively with others to solve common problems.
7. Sustainability. Green issues are embedded in the curriculum to help you develop an ethical view of the world and enhance your ability to:
- Take social responsibility.
- Understand environmental issues and prepare for the green jobs of the future.