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2023/24 Undergraduate Module Catalogue

LLLC0197 Introduction to Mathematics

20 creditsClass Size: 120

Module manager: Katy Dobson
Email: k.l.dobson@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2023/24

Module replaces

LLLC0188LLLC0189LLLC0190

This module is not approved as a discovery module

Module summary

The module will introduce students to the essential mathematical concepts required for success on their degree. It aims to develop students' understanding, skills and techniques of basic mathematics to a level at which they can confidently and independently apply these concepts within a scientific context.

Objectives

During this module students will be introduced to core concepts and techniques in mathematics. They will gain experience and confidence using these techniques and learn how 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 basic mathematical objects 

2. Perform calculations and solve problems in abstract mathematical and real-world scenarios

3. Present mathematical ideas 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 seminars and will cover areas such as… 

- Revision of basic arithmetic, algebra and equations. 

- Manipulation of surds, logarithms and exponentials. 

- Solution of equations; Trigonometry, Sin, Cos, Tan and their graphs.  

- Co-ordinate geometry of the straight line; gradients, lengths and perpendicularity; Co-ordinate geometry of circles and simple curves; gradients, tangents and perpendicularity.  

- Manipulating and sketching functions; graph transformations. 

- Differentiation of simple polynomial functions; Finding maxima and minima values using differentiation of polynomial functions. Differentiation of products, quotients and functions of a function;

Teaching methods

Delivery typeNumberLength hoursStudent hours
Lectures202.0040.00
seminars201.0020.00
Independent online learning hours40.00
Private study hours100.00
Total Contact hours60.00
Total hours (100hr per 10 credits)200.00

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 typeNotes% of formal assessment
Online Assessment6 hours30.00
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 typeExam duration% of formal assessment
Unseen exam 2 hr 00 mins70.00
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 website

Last updated: 04/04/2023

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