MAT-10039 - Calculus I
Coordinator: Peter Wootton Tel: +44 1782 7 33767
Lecture Time: See Timetable...
Level: Level 4
Credits: 15
Study Hours: 150
School Office: 01782 733075

Programme/Approved Electives for 2023/24

None

Available as a Free Standing Elective

No

Co-requisites

None

Prerequisites

None

Barred Combinations

None


Description for 2023/24

This module is intended to help students with the transition from the methods based approach of A level Mathematics to the higher levels of understanding and rigour expected at degree level. The module will develop students' skills in mathematical techniques, mainly in differentiation and integration. It begins by revising the standard elementary functions and their properties and continues with the revision of basic results and techniques in differentiation. It then revises basic results and techniques in integration.

Aims
The aim of the module is to provide students with a deeper understanding of real numbers, limits, functions, differentiation, integration and geometry than that required at A level or equivalent.

Intended Learning Outcomes

state clearly and derive the key results of elementary algebra, trigonometry and calculus: 1,3
competently use core mathematical techniques in differentiation and integration, and for finding the limits of sequences and series
: 1,3
use the basic concepts and theory to develop mathematical and logical arguments
: 1,3
use the relevant methods and results to solve problems and communicate their solutions accurately and reliably with structured and coherent arguments: 1,2,3

Study hours

33 hours lectures
11 hours Example Classes
24 hours coursework preparation
82 hours private study

School Rules

None

Description of Module Assessment

1: Assignment weighted 20%
Take-home assignment
A take-home assignment focusing on the use of elementary algebra, trigonometry, functions and sequences and series. Students are expected to spend about 12 hours completing this.

2: Coursework weighted 20%
Take-home coursework
A take-home assignment focusing on the use of differential and integral calculus. Students are expected to spend about 12 hours completing this.

3: Exam weighted 60%
Unseen, two hour end of semester examination
Unseen two-hour exam