Calculus

The details

Requisites for this module

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 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)

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 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)

For students outside of the Department, an appropriate A level in Mathematics (or equivalent) is required for this module. If you are unsure whether you meet this criteria please contact mathsug@essex.ac.uk before attempting to enrol. This module 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.

This module introduces:

- the concept of limits

- complex numbers in both Cartesian and polar form

- de Moivre's theorem and complex nth roots

- first and second order differential equations (and methods for solving them are studied)

- partial differentiation along with applications.

This module introduces:

- the concept of limits

- complex numbers in both Cartesian and polar form

- de Moivre's theorem and complex nth roots

- first and second order differential equations (and methods for solving them are studied)

- partial differentiation along with applications.

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.

On completion of this module students should: 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; be able to add, subtract, multiply, and divide complex numbers in Cartesian form; be able to plot complex numbers on an Argand diagram; be able to move between Cartesian and polar forms of complex numbers; be able to calculate arguments, moduli and complex conjugates; be able to multiply and divide complex numbers in polar form; be able to find complex nth roots; be able to solve first order differential equations; be able to solve second-order linear differential equations with constant coefficients, find general and particular solutions; be able to calculate limits of elementary functions; be able to use l'Hopital's rule; be able to find partial derivatives of elementary functions of two and three variables; be able to use the chain rule for first-order partial differentiation; be able to find directions of steepest slope for functions of two or three variables.

No additional information available.

This module 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.

This module does not appear to have a published bibliography.

Coursework / exam | Description | Deadline | Weighting |
---|---|---|---|

Coursework | E Assessment 1 | ||

Coursework | E Assessment 2 | ||

Exam | 150 minutes during Summer (Main Period) (Main) |

Coursework | Exam |
---|---|

20% | 80% |

Coursework | Exam |
---|---|

0% | 100% |

Module supervisor and teaching staff

Availability

No external examiner information available for this module.

Resources

Further information

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