MA104-4-AU-CO:
Calculus
PLEASE NOTE: This module is inactive. Visit the Module Directory to view modules and variants offered during the current academic year.
2020/21
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Autumn
Undergraduate: Level 4
Inactive
Thursday 08 October 2020
Friday 18 December 2020
15
04 October 2018
Requisites for this module
(none)
(none)
(none)
EC115
EC368
This course revises ideas associated with continuous functions, including the idea of an inverse, differentiation and integration, and sets them in a more fundamental context which permits a better understanding of their properties. Differential equations are introduced, and methods for solving them are studied. The properties of inequalities are reviewed. Complex numbers in Cartesian form are introduced.
Syllabus
Geometry and Trigonometry:
- Pythagoras' theorem; trigonometric functions.
- Basic manipulation of inequalities
Functions of one variable:
- the functions exp, ln, xa, |x|, trigonometric and hyperbolic functions; their domains and their graphs;
- power laws; exp(x+y), ln(xy);
- derivatives of xa, exp, sin, cos, ln;
- differentiation of sums, products and quotients;
- function of a function; chain rule for differentiation;
- inverse functions;
- stationary points;
- indefinite integrals as antiderivatives; definite integrals; improper integrals;
- division of polynomials, partial fractions, integration of rational functions;
- integration by parts and by substitution
- first order differential equations; separation of variable and integrating factor.
Complex numbers:
- addition, subtraction, multiplication and division in Cartesian form
- the Argand diagram
On completion of the course, students should be able to:
- be able to use Pythagoras's Theorem and the basic concepts of trigonometry;
- be familiar with elementary functions, the basic rules of the differential and integral calculus for functions of one variable;
- be familiar with the idea of a domain of definition and an inverse function;
- be able to manipulate inequalities;
- add, subtract, multiply, and divide complex numbers in Cartesian form;
- plot complex numbers on an Argand diagram;
- solve first order differential equations.
No information available.
No information available.
'A' level Maths or equivalent normally required. Available independently to Socrates/IP students spending all relevant terms at Essex.
This course consists of 30 contact hours given at 3 hours per week commencing in week 2 (the first teaching week). There will be a test at the end of term and five assessed problem sheets throughout the term. Three revision lectures will also be given in the summer term.
This module does not appear to have a published bibliography.
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Exam |
Main exam: 90 minutes during Summer (Main Period)
|
Additional coursework information
Information about coursework deadlines can be found in the "Coursework and Exams" section of the Current Students, Information for Students Maths web pages: Coursework and Test Information
Exam format definitions
- Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
- In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
- In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
- In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary,
for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.
Your department will provide further guidance before your exams.
Overall assessment
Reassessment
Module supervisor and teaching staff
Dr Dan Brawn, email: dbrawn@essex.ac.uk.
Dr Dan Brawn, email: dbrawn@essex.ac.uk
Miss Claire Watts, Departmental Administrator, Tel. 01206 873040, email cmwatts@essex.ac.uk
Yes
No
No
No external examiner information available for this module.
Available via Moodle
No lecture recording information available for this module.
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