2024/25 Undergraduate Module Catalogue
LLLC0198 Introduction to Pure Mathematics
10 creditsClass Size: 80
Module manager: Katy Dobson
Email: k.l.dobson@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2024/25
Pre-requisites
| LLLC0197 | Introduction to Mathematics |
Module replaces
LLLC0188LLLC0189LLLC0190This module is not approved as a discovery module
Module summary
The module will introduce students to the essential pure and discrete mathematical concepts required for success on their degree. The module will consider topics that underpin fundamental theorems of mathematics and can be applied to a variety of areas such as geometry, physics, computer science and philosophy.Objectives
During this module students will be introduced to core concepts and techniques in pure maths. They will gain experience and confidence using these techniques and learn how this area of mathematics is applied in science.Learning outcomes
On successful completion of this module, students will be able to:
1. Explore and manipulate a variety of mathematical objects in the area of pure and discrete mathematics
2. Evaluate different methods of mathematical argument or proof
3. Perform calculations and solve problems in abstract mathematical and real-world scenarios
4. Present mathematical ideas from the area of pure mathematics using precise mathematical language in various forms
Skills outcomes
Communication of mathematical information, analysis, problem solving, reflection, and digital literacy in basic equation editor technology
Syllabus
The content will be delivered through lectures and workshops and will cover areas such as…
- Introduction to vectors, representing vector quantities, products and techniques of vectors in 3 or more dimensions;
- Complex Numbers; Argand diagram, Cartesian and polar forms, complex conjugate, modulus.
- Applying discrete mathematical techniques; Truth tables, proof, sets and matrices.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lectures | 10 | 2.00 | 20.00 |
| seminars | 10 | 1.00 | 10.00 |
| Independent online learning hours | 10.00 | ||
| Private study hours | 60.00 | ||
| Total Contact hours | 30.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Opportunities for Formative Feedback
Formative feedback will be given in seminars, via in-class quizzes, via completion of online quizzes and via submission of independent work such as written problem sets.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| Online Assessment | 3 hours | 30.00 |
| Total percentage (Assessment Coursework) | 30.00 | |
Coursework will be released and submitted as a single assessment, however students will be encouraged to tackle problems as the relevant material is covered, on a week-by-week basis.
Exams
| Exam type | Exam duration | % of formal assessment |
| Unseen exam | 2 hr 00 mins | 70.00 |
| Total percentage (Assessment Exams) | 70.00 | |
Resits for the exam component of the module will be assessed by the same methodology as the first attempt during the July Resit period, in most cases, or during the next available opportunity.
Reading list
The reading list is available from the Library websiteLast updated: 29/04/2024 16:16:09
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- Undergraduate module catalogue
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