Core Mathematics
| Code | School | Level | Credits | Semesters |
| MATH1109 | School of Mathematical Sciences | 1 | 60 | Full year China |
- Code
- MATH1109
- School
- School of Mathematical Sciences
- Level
- 1
- Credits
- 60
- Semesters
- Full year China
Summary
This is a year-long module that introduces students to the basic mathematical concepts that underpin all degree programmes offered by the Department of Mathematical Sciences. The major components are:
•Mathematical Fundamentals: Logic; introduction to complex numbers; functions; set theory; introduction to cardinality; vector geometry.
•Linear Algebra: Systems of linear equations; matrices; vector spaces; linear maps; eigenvalues and eigenvectors.
•Analysis: The real numbers; sequences; limits and continuity of functions; infinite series; single and multi-variable calculus; ordinary differential equations.
•Programming in Python: variables; logic and loops; functions; plotting graphs; debugging.
Target Students
Single Honours students from the Department of Mathematical Sciences
Classes
- One 2-hour workshop each week for 24 weeks
- Six 1-hour workshops each week for 24 weeks
- One 1-hour tutorial each week for 24 weeks
Assessment
- 40% Coursework 1: Summative assessment based on tasks distributed through the year.
- 20% Class Test 1 (2-hour): Written class test - Autumn
- 40% Exam 1 (3-hour): Written examination - Spring
Assessed by end of spring semester
Educational Aims
The overall aims are to build upon pre-university knowledge, focusing on the development of skills, knowledge, and confidence in applying a range of concepts and techniques required across the spectrum of mathematics, and to introduce, provide motivation for, and practice in, logical reasoning and rigorous mathematical thinking as applied to linear algebra and real analysis.Learning Outcomes
1. State and apply basic definitions and theorems in analysis and linear algebra that underpin modern applications;
2. Reason logically and analytically to construct rigorous proofs in analysis and linear algebra;
3. Draw connections between mathematical concepts and transfer their knowledge accordingly;
4. Apply the concepts and tools of analysis to solve problems in single and multivariable calculus, including first order ordinary differential equations;
5. Apply the concepts and tools of linear algebra to solve systems of linear equations, including eigenvalue problems;6. Use Python to carry out iterative computations and illustrate results;
7. Communicate mathematics effectively to different audiences.8. Review progress and set goals to advance projects or actions;
9. Take an inclusive and ethical approach to collaborating with peers, evaluating and utilising the strengths of individuals to work effectively as a group.
Conveners
- Dr Daniele Garrisi