MA101-4-FY-CO:
Calculus

The details
2019/20
Mathematical Sciences
Colchester Campus
Full Year
Undergraduate: Level 4
Current
Thursday 04 October 2018
Friday 28 June 2019
30
07 May 2019

 

Requisites for this module
(none)
(none)
(none)
(none)

 

EC115, EC251, EC368, EC371, EC372, EC383, MA105, MA182, MA202, MA203, MA222, MA225

Key module for

BSC N233 Actuarial Science (Including Placement Year),
BSC N323 Actuarial Science,
BSC N324 Actuarial Science (Including Year Abroad),
BSC N325 Actuarial Science (Including Foundation Year),
BSC L1G2 Economics and Mathematics (Including Placement Year),
BSC LG11 Economics and Mathematics,
BSC LG18 Economics and Mathematics (Including Foundation Year),
BSC LG1C Economics and Mathematics (Including Year Abroad),
BSC L1G1 Economics with Mathematics,
BSC L1G3 Economics with Mathematics (Including Placement Year),
BSC L1G8 Economics with Mathematics (Including Foundation Year),
BSC L1GC Economics with Mathematics (Including Year Abroad),
BSC GN13 Finance and Mathematics,
BSC GN15 Finance and Mathematics (Including Placement Year),
BSC GN18 Finance and Mathematics (Including Foundation Year),
BSC GN1H Finance and Mathematics (Including Year Abroad),
BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G104 Mathematics (Including Foundation Year),
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC 9K18 Mathematics and Statistics (Including Foundation Year),
BSC G1G4 Mathematics with Computing (Including Year Abroad),
BSC G1G8 Mathematics with Computing (Including Foundation Year),
BSC G1GK Mathematics with Computing,
BSC G1IK Mathematics with Computing (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC G1F4 Mathematics with Physics (Including Placement Year),
BSC GCF3 Mathematics with Physics (Including Year Abroad),
BSC I1G3 Data Science and Analytics,
BSC I1G3CE Data Science and Analytics,
BSC I1GB Data Science and Analytics (Including Placement Year),
BSC I1GBCE Data Science and Analytics (Including Placement Year),
BSC I1GC Data Science and Analytics (Including Year Abroad),
BSC I1GF Data Science and Analytics (Including Foundation Year)

Module description

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. The properties of inequalities are reviewed. The concept of limits is introduced. Complex numbers are introduced in both Cartesian and polar form. de Moivre's theorem and complex nth roots are introduced. First and second order differential equations are introduced, and methods for solving them are studied. Partial differentiation along with applications are introduced.

This module requires students to have an A level in Mathematics (or equivalent). If you are unsure whether you meet this criteria please contact mathsug@essex.ac.uk before attempting to enrol.

Module aims

To reinforce concepts of calculus, its applications and associated topics that students will have met prior to University and to extend them to allow students to engage with concepts met in an undergraduate mathematics degree.

Module learning outcomes

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; • move between Cartesian and polar forms of complex numbers; calculate arguments, moduli and complex conjugates; • multiply and divide complex numbers in polar form; • find complex nth roots • solve first order differential equations. • solve second-order linear differential equations with constant coefficients, find general and particular solutions; • calculate limits of elementary functions; • use l'Hopital's rule; • find partial derivatives of elementary functions of two and three variables; • use the chain rule for first-order partial differentiation; • find directions of steepest slope for functions of two or three variables.

Module information

No additional information available.

Learning and teaching methods

This course consists of 60 contact hours given at 3 hours per week during term time. Each week will consist of 2 lectures and one class. There will be six hours of revision lectures in the summer term.

Bibliography*

This module does not appear to have a published bibliography for this year.
Assessment items, weightings and deadlines
Coursework / exam Description Deadline Weighting
Coursework E Assessment 1 50%
Coursework E Assessment 2 50%
Exam 150 minutes during Summer (Main Period) (Main)
Overall assessment
Coursework:
20%
Exam:
80%
Reassessment
Coursework:
0%
Exam:
100%
Module supervisor and teaching staff
Professor Peter Higgins (AU), email peteh@essex.ac.uk; Dr Jessica Claridge (SP), email jc16347@essex.ac.uk
Miss Claire Watts, Department Manager, email cmwatts@essex.ac.uk

 

Availability
Yes
Yes
No

External examiner

No external examiner information available for this module.
Resources
Available via Moodle
Of 166 hours, 164 (98.8%) hours available to students:
2 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).

 

Further information
Mathematical Sciences

* Please note: due to differing publication schedules, items marked with an asterisk (*) base their information upon the previous academic year.

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