Module FOUD01G7: Advanced Foundation Maths

Department: Foundation Year (Durham)

FOUD01G7: Advanced Foundation Maths

Prerequisites

• Foundation Mathematics B

Corequisites

• None

Excluded Combination of Modules

• None

Aims

• To extend students understanding of Functions
• To introduce students to a range of differentiation and integration techniques
• To introduce students to solving differential equations and their application in a range of subjects
• To introduce students to Linear Programming
• To introduce students to Matrices
• To support the development of key skills in logical thinking and problem solving.

Content

• Matrices
• Vectors
• Further functions
• Further differentiation
• Further integration
• Solving differential equations
• Inequality and Linear Programming
• Differential equations 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:

Weekly worksheet Class test

■ 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