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## SOEE1486 Foundation Mathematics 2

### 10 creditsClass Size: 50

Module manager: Dr Daniel Hill
Email: D.J.Hill@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2019/20

### Pre-requisite qualifications

AS Level Maths at Grade C or above or SOEE1481 or equivalent. Not available to students with A Level Maths at Grade C or above

### Pre-requisites

 SOEE1481 Foundation Mathematics 1

This module is not approved as a discovery module

### Module summary

This module provides an introduction to calculus, both differentiation and integration. The module will give the opportunity for students who passed SOEE 1480 to extend their maths learning to the next level to include calculus. For those wanting to continue further, this module will provide the necessary pre-requisite for SOEE 1301.

### Objectives

The objective of the module is to provide students with a good understanding of the basic concepts of single dimensional integral and differential calculus and related mathematical concepts.

Learning outcomes
On completion of this module, students should:

- understand basic calculus theory including the derivation of the derivative;
- be able to perform basic differentiation of function (product rule, quotient rule, power rule, etc);
- gain experience in solving word problems using calculus methods.
- develop processing and interpretation of visual and written information;
- assimilate material from lectures and implement in assessed coursework;
- develop quantitative ability which will underpin future scientific endeavours;
- develop time management in performing assessed coursework

Skills outcomes
Further development of quantitative skills.

### Syllabus

The following topics are covered:

1. review of basic alegbra, trigonometry, and sequences and series;
2. differentiation from first principles
3. differentiation using methods of the power, product, quotient, and chain rule.
4. indefinite and definite integration
5. solving word problems using differentiation and/or integration
6. introduction to differential equations
7. introduction to complex numbers

### Teaching methods

 Delivery type Number Length hours Student hours Lecture 11 1.00 11.00 Tutorial 11 2.00 22.00 Private study hours 67.00 Total Contact hours 33.00 Total hours (100hr per 10 credits) 100.00

### Private study

Post-lecture practice questions (22 hours).
Coursework (14 hours).
Revision for final examination (20 hours).

### Opportunities for Formative Feedback

Feedback on the student progress is provided through the marked assessed coursework that is returned to the students. Students will also gain an understanding of their progress independently by evaluating their performance on the formative example questions sheets that have solutions on the VLE. Students have an opportunity for verbal feedback on the formative question sheets at the tutorial.

### Methods of assessment

Coursework
 Assessment type Notes % of formal assessment Assignment Maths problem worksheet 15.00 Total percentage (Assessment Coursework) 15.00

The resit for this module will be by examination only.

Exams
 Exam type Exam duration % of formal assessment Standard exam (closed essays, MCQs etc) 1 hr 30 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