Further Mathematics for University Study

Course Description

Linear and quadratic functions, gradient and intercept, sequences and algorithmic growth, probability and statistics, and turning mathematical problems into pseudocode.

Course Objectives

To build the further mathematics used in computing: functions and graphs, sequences, probability and mathematical problem solving.

Key Topics

1. LO1: Understand functions and their graphical representation.
2. LO2: Understand number sequences relevant to computing.
3. LO3: Understand statistics and probability for computing.
4. LO4: Apply mathematical problem-solving to programming tasks.

Course Outline

Learning Outcomes

1. LO1 Understand functions and their graphical representation.
2. 1.1 Plot simple linear and quadratic functions.
3. 1.2 Interpret the gradient and intercept of a graph.
4. LO2 Understand number sequences relevant to computing.
5. 2.1 Identify arithmetic and geometric sequences.
6. 2.2 Explain their relevance to algorithmic complexity (informally).
7. LO3 Understand statistics and probability for computing.
8. 3.1 Calculate probability of simple events.
9. 3.2 Apply basic statistical measures to a dataset.
10. LO4 Apply mathematical problem-solving to programming tasks.
11. 4.1 Translate a mathematical problem into pseudocode.
12. 4.2 Verify a solution using test data.