MATH0390 Foundation Pure and Applied Mathematics

10 creditsClass Size: 120

Module manager: Serguei Komissarov
Email: S.S.Komissarov@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2023/24

Pre-requisite qualifications

GCSE Mathematics or equivalent.

This module is mutually exclusive with

 LUBS1260 Mathematics for Economics and Business 1 MATH0111 Elementary Diff Calculus 1 MATH0212 Elementary Integral Calculus (Version 1)

Module replaces

MATH0380

This module is not approved as a discovery module

Module summary

A basic mathematics course for students who have not done AS-level mathematics, designed to give an introduction to mathematical concepts and their practical application at AS level standard.

Objectives

On completion of this module students should be able to:
- manipulate expressions and solve equations involving indices, exponentials and logarithms and solve problems in real-world applications;
- understand and apply basic differential and integral calculus.

Learning outcomes
On completion of this module students should be able to:
- manipulate expressions and solve equations involving indices, exponentials and logarithms and solve problems in real-world applications;
- understand and apply basic differential and integral calculus.

Syllabus

- Laws of indices, exponentials and logarithms, geometric series.
- Applications such as percentages, compound interest, discounting, growth and decay.
- Elementary differentiation, derivatives of powers, logarithmic and exponential functions.
- Finding gradients, tangents, normals, maxima and minima, application in simple optimisation.
- The concept of integration as anti-differentiation.
- Indefinite and definite integrals of powers and exponential functions. Area under a curve.

Teaching methods

 Delivery type Number Length hours Student hours Lecture 33 1.00 33.00 Private study hours 67.00 Total Contact hours 33.00 Total hours (100hr per 10 credits) 100.00

Private study

Studying and revising of course material.
Completing of formative and assessed written exercises.

Opportunities for Formative Feedback

The regular marked problem sheets and mid-term test provide opportunity for monitoring student progress and providing feedback via marked work.

!!! In order to pass the module, students must pass the examination. !!!

Methods of assessment

Coursework
 Assessment type Notes % of formal assessment Written Work Problem sheets, in class test. 15.00 Total percentage (Assessment Coursework) 15.00

There is no resit available for the coursework component of this module. If the module is failed, the coursework mark will be carried forward and added to the resit exam mark with the same weighting as listed above.

Exams
 Exam type Exam duration % of formal assessment Standard exam (closed essays, MCQs etc) 2 hr 00 mins 85.00 Total percentage (Assessment Exams) 85.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated