Module FOUD0861: Foundation Mathematics B

Department: Foundation Year (Durham)

FOUD0861: Foundation Mathematics B

Pre-requisites

Corequisites

Excluded Combinations

Aims

• To introduce students to the core knowledge of pure mathematics
• To support the development of key skills in logical thinking and problem solving.

Content

• Numbers
• Algebra including algebraic fractions
• Solving equations
• Functions and graphs
• Geometry and introduction to trigonometry
• Binomial expansion
• Sequences and series
• Indices, exponential and logarithmic functions and applications
• Differentiation and Integration and applications

Learning Outcomes

• By the end of the programme students will have:
• 1. Knowledge of a range of foundational subject concepts
• 2. Knowledge of a range of relevant research methods (N/A)
• 3. Knowledge of a range of relevant vocabulary

• By the end of the programme students will be able to:
• 1. Demonstrate the appropriate use of a range of foundational subject concepts
• 2. Demonstrate the appropriate use of relevant research methods (N/A)
• 3. Demonstrate the appropriate use of a range of relevant vocabulary

• By the end of the programme students will be able to:
• 1. Demonstrate critical thinking
• 2. Demonstrate effective communication using appropriate academic styles
• 3. Demonstrate appropriate use of number
• 4. Demonstrate the use of appropriate sources of evidence (N/A)

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

• Theory, initial concepts and techniques will be introduced during lectures.
• Much of the learning, understanding and consolidation will take place through the use of structured worksheets during seminars and students' own time.
• Small coursework tasks testing, developing or consolidating the previous week’s work will be set usually on a weekly basis. These tasks perform a formative role enabling students to reflect on their own performance, identify areas of weakness, and practice some of the skills and techniques which will be required in the longer in-class tests and end of module test.
• Additionally, they ensure that students master specific skills to an appropriate level prior to their requirement in more complex tasks.

Teaching Methods and Learning Hours

Summative Assessment

Formative Assessment

The weekly portfolio tasks also perform a formative role, in addition to being a part of the summative assessment, enabling students to reflect on their own performance, identify areas of weakness, and practice some of the skills and techniques.