Module FOUD02R1: Advanced Mathematics 2

Department: Foundation Year (Durham)

FOUD02R1: Advanced Mathematics 2

Prerequisites

• Advanced Mathematics 1

Corequisites

• Practice

Excluded Combination of Modules

• General Mathematics

Aims

• Advanced Mathematics 2 builds directly on Advanced Mathematics 1 and takes your mathematical knowledge and skills to a higher level. You must have completed Advanced Mathematics 1 before taking this module. The module deepens your fluency in advanced techniques, introduces new mathematical areas, and continues to develop your problem-solving and communication skills.

Content

• Further Algebra 
• Sequences and series 
• Trigonometry 
• Further Calculus 
• Vectors 
• Matrices 
• Further Probability 
• Numerical methods 
• Mathematical problem solving

Learning Outcomes

• A range of advanced mathematical concepts and notations 
• Relevant mathematical methods for solving complex problems 
• Key subject-specific mathematical vocabulary

• Use a range of mathematical concepts to solve advanced maths problems 
• Apply relevant mathematical methods to solve maths problems 
• Use mathematical vocabulary accurately in context 
• Demonstrate fluency in advanced mathematical techniques through timed assessment

• Use logical reasoning to produce clear and effective written work, presenting mathematical methods leading to a justified conclusion 
• Develop feedback literacy by self-marking and reflecting on your own performance through continuous assessment

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

• Advanced Mathematics 2 is delivered through seminars and workshops.
• In seminars, you will develop your academic skills and engage in teacher-led discussions and group activities. 
• In workshops you will be given space to consolidate and apply your learning in a more hands-on, interactive way. This may include problem-based exercises in small groups or individually and include orientation tasks to help you reflect on your own learning, identify your strengths and areas to develop, and plan your future study. 
• As well as timetabled sessions, you are expected to take responsibility for your own learning outside of class. Independent study may include: completing orientation and preparation tasks set by your tutor; undertaking pre-reading before seminars and workshops; answering practice questions and consolidating your understanding; and reading more widely around your subject.
• The module is assessed through two components: a timed in-year test and a continuous assessment portfolio of mathematical problems. The continuous assessment tasks are designed to build progressively.
• Feedback from each formative and summative assignment is designed to help you improve for future assignments, so it’s important to engage with the feedback you receive.

Teaching Methods and Learning Hours

Summative Assessment

Formative Assessment:

Throughout the module, you will also complete a range of formative tasks and exercises. Examples of formative tasks in this module include mathematical problem worksheets and timed maths problem responses.  These are not formally graded, but they are designed to help you develop your skills and build towards each summative assignment. Engaging actively with formative tasks will support your progress and help you perform well in the assessed work.

■ Students who do not attend monitored activities shown under Teaching Methods and Learning Hours, or who fail to complete the summative or formative assessment(s) specified above, may be subject to the Academic Progress procedures defined in the University's General Regulation V, and may be required to leave the University.