# Module ICE-0102:Further Mathematics

### Module Facts

Run by School of Computer Science and Electronic Engineering

20 Credits or 10 ECTS Credits

Semester 2

Organiser: Dr David Edward Perkins

### Overall aims and purpose

The Further Mathematics module aims to provide students with the more advanced mathematical skills and knowledge, which are essential for a successful progression to degree-level study in subject areas that require it. The module will cover a range of key topics including calculus, but will also place a strong emphasis on the application of knowledge and skills to a range of subject areas.

### Course content

Topics covered by this module may include the following:

Sets and Functions: definition of set and function. Polynomial and exponential functions and their graphs. Modelling using exponential functions.

Number systems: integers, rational, real and complex numbers. Arithmetic. Solving quadratic equations.

Calculus: differentiation and integration. Applications, including optimisation, curve sketching and differential equations.

Vectors: definition of a vector, in 2 and 3 dimensions. Vector operations.

Trigonometry. Pythagorean identities and solution of trigonometric equations.

### Assessment Criteria

#### threshold

Grade D- to D+ Demonstrates a basic understanding of the subject but some errors present. Some inaccuracies and misconceptions evident. Limited ability to apply subject knowledge to new or different scenarios. The clarity of information presentation is weak and use of appropriate, subject-specific terminology is limited.

#### C- to C+

Grade C- to C+ A clearer understanding of the subject matter. Demonstrates ability to apply subject knowledge to new or different scenarios, but with some errors. The clarity of information presentation is acceptable and use of appropriate, subject-specific terminology is developing. There is evidence of some limited engagement with the wider literature and published information sources.

#### good

Grade B- to B+ A good understanding of the subject matter. Very few inaccuracies and misconceptions evident. Demonstrates ability to apply subject knowledge to new or different scenarios, with few errors. The clarity of information presentation is good and use of appropriate, subject-specific terminology is well-developed. There is evidence of engagement with the wider literature and published information sources.

#### excellent

Grade A- and above An excellent understanding of the subject matter with virtually no inaccuracies and misconceptions evident. Demonstrates a very good ability to apply subject knowledge to new or different scenarios, with very few errors. The clarity of information presentation is excellent and use of appropriate, subject-specific terminology is very well developed. There is evidence of engagement with the wider literature and published information sources.

### Learning outcomes

1. Demonstrate an understanding of and ability to employ appropriate methods in mathematics.

2. Demonstrate an accurate understanding of higher mathematical principles and concepts.

3. Apply mathematical principles to different subject areas.

4. Present information clearly and logically using specialist vocabulary.

### Assessment Methods

Type Name Description Weight
CLASS TEST Test 3: integration and vectors

Multiple choice questions

20
CLASS TEST Test 1: sets, functions and number systems

Multiple choice questions

20
EXAM Exam

Multiple choice and short answer questions

40
CLASS TEST Test 2: trigonometry and differentiation

Multiple choice questions

20

### Teaching and Learning Strategy

Hours
Lecture

24*2 hour lectures

48
Tutorial

12*1 hour tutorials

12
Private study

Time spent working on guided and independent study and on the preparation of assignments.

140

### Transferable skills

• Numeracy - Proficiency in using numbers at appropriate levels of accuracy
• Computer Literacy - Proficiency in using a varied range of computer software
• Self-Management - Able to work unsupervised in an efficient, punctual and structured manner. To examine the outcomes of tasks and events, and judge levels of quality and importance
• Information retrieval - Able to access different and multiple sources of information
• Inter-personal - Able to question, actively listen, examine given answers and interact sensitevely with others
• Critical analysis & Problem Solving - Able to deconstruct and analyse problems or complex situations. To find solutions to problems through analyses and exploration of all possibilities using appropriate methods, rescources and creativity.
• Presentation - Able to clearly present information and explanations to an audience. Through the written or oral mode of communication accurately and concisely.

### Subject specific skills

• Solve problems logically and systematically;
• Analyse and display data using appropriate methods and mathematical techniques;

### Resources

#### Resource implications for students

Students will be required to access online resources. Use of personal computers or University facilities will enable this.