Core Mathematics
| Code | School | Level | Credits | Semesters |
| MATH1101 | Mathematical Sciences | 1 | 60 | Full Year UK |
- Code
- MATH1101
- School
- Mathematical Sciences
- Level
- 1
- Credits
- 60
- Semesters
- Full Year UK
Summary
This is a year-long module that introduces students to the basic mathematical concepts that underpin all degree programmes offered by the School of Mathematical Sciences. The major components are:
• Mathematical Fundamentals: Logic, functions; set theory; simple axiomatic probability.
• Linear Algebra: Matrices; vectors and vector geometry; vector spaces; eigenvalues and eigenvectors; linear systems of algebraic equations and ordinary differential equations.
• Analysis: Inequalities; sequences; limits of functions; continuity; differentiation; integration; series; multivariable calculus; multiple integrals.
Target Students
Single Honours and Joint Honours students from the School of Mathematical Sciences. Mathematical Physics students.
Classes
Teaching will be through a variety of methods, ranging from traditional lectures and computing sessions through flipped learning, with the delivery tailored to the material on a week-by-week basis.
Assessment
- 40% Coursework: Summative assessment based on tasks distributed through the year.
- 40% Exam 1 (3-hour): Written examination - Spring
- 20% Exam 2 (2-hour): In class test
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
A student who completes this module successfully should be able to
L1 Understand the importance and broad historical development of basic linear algebra and analysis as underpinning modern theory and applications;
L2 Reason logically and analytically with formal definitions and use them to formulate rigorous proofs;
L3 Draw connections between mathematical concepts and transfer their knowledge accordingly;
L4 Apply the tools linear algebra to solve systems of linear ordinary differential equations;
L5 Construct rigorous proofs in linear algebra and analysis;
L6 Use Python to carry out basic manipulations in linear algebra and illustrate results in analysis;
L7 Collaborate effectively with peers, effectively understanding their own and peers’ abilities and create joint plans accordingly;
L8 Review progress and give constructive feedback to others to advance projects or actions;
L9 Take an inclusive and ethical approach to collaborating with peers and communicating mathematics to different audiences.
Conveners
- Dr Thomas Wicks