General Courses in Mathematics

(Lecturers are shown only for the first semester of the academic 2004/2005 year)

GENERAL MATHEMATICS PART 1 (MTH 1)

Code	Lecturer/	Description
	Contact person
MTH101	LR	Calculus 1
MTH102	NJZM	Linear Mathematics 1

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MTH111		Calculus 2
MTH112		Mathematical Discourse and
		Structures

GENERAL MATHEMATICS PART 2 (MTH 2)

Code	Lecturer/	Description	Core	Pre-requisite
	Contact person			/Co-requisite
MTH201	AGH	Analysis 1	M^^	MTH101, 111
MTH202	AGRS	Linear Mathematics 2	M	MTH102
MTH203	GAL	Probability Theory 1 ^*		MTH111
MTH204	GTM	Vector Calculus		MTH101, 102, 111
MTH007	TS	Number Theory
MTH208	DV	Advanced Calculus 1	M^**	MTH101, 111

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MTH211		Ordinary Differential Equations		MTH101, 102
MTH212		Numerical Methods
MTH213		Statistical Inference ^*		/MTH203
MTH215		Graph Theory		MTH112
MTH006		History of Mathematical Thought

ALL General courses have a weighting of ONE semester, which is equivalent to 24 lectures and 24 tutorials (of one hour each).
^* These courses are not available to candidates who have taken Part I Statistics.
^** Candidates must take precisely ONE of the two courses MTH201, MTH208.

GENERAL MATHEMATICS PART 3 (MTH 3)

Code	Lecturer/	Description	Core	Pre-requisite
	Contact person			/Co-requisite
MTH301	LR	Optimization
MTH312	GM	PDE's and Fourier Series		MTH101, 111
MTH313	GAL	Probability Theory 2 ^*		MTH203
MTH005	TS	Algebra 1 ^#		MTH112

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MTH311		Analysis 2	M^**	MTH201, 202
MTH303		Linear Models ^*		MTH213
MTH314		Mechanics		MTH204
MTH015		Algebra 2 ^#		/MTH005
MTH316		Complex Variable		MTH101, 111, 102
MTH318		Advanced Calculus 2	M^**	MTH208

^* These courses are not available to candidates who have taken Part II Statistics.
^# These courses may be taken in Part 2.
^** Candidates must take precisely ONE of the two courses MTH311, MTH318.

Honours Courses in Mathematics

HONOURS MATHEMATICS PART 2 (HMTH 2)

Code	Lecturer/	Description	Core	Pre-requisite	Type	W
	Contact person			/Co-requisite
HMTH201	AGH	Analysis 1	H	MTH101, 111		1
HMTH202	AGRS	Linear Mathematics 2	H	MTH102		1
HMTH203	GAL	Probability Theory 1 ^*		MTH111		1
HMTH204	PS	Vector Calculus		MTH101, 102, 111,
HMTH007	TS	Number Theory				1
HMTH221	MBP	Optimization				1
HMTH232	NS	PDE's and Fourier Series		/MTH101, 111		1
HMTH233	GAL	Probability Theory 2		/HMTH203		1
HMTH005	TS	Algebra 1		MTH112		1

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HMTH211		Ordinary Differential Equations		MTH101, MTH102		1
HMTH212		Numerical Methods				1
HMTH213		Statistical Inference ^*		/HMTH203	H	1
HMTH215		Graph Theory		MTH112		1
HMTH006		History of Mathematical Thought				1
HMTH231		Analysis 2	H	/HMTH201, 202		1
HMTH223		Linear Models		/HMTH213		1
HMTH234		Mechanics		/HMTH204		1
HMTH015		Algebra 2		/HMTH005		1
HMTH236		Complex Variable		MTH101, 102, 111		1

NOTES

Part 2 Honours courses consist of the General degree courses in Parts 2 and 3. The new Honours course code for the Part 3 General (MTH3**) courses is obtained by subtracting 80.
"W'' stands for the weighting of a course in semesters; most Honours Part 3 courses are taken over TWO semesters. ALL Honours Part 2 courses have a weighting of ONE semester.

^* These courses are not available to candidates who have taken Part I Statistics.

HONOURS MATHEMATICS PART 3/4 (HMTH 3/4)

Code	Lecturer/	Description	Core	Pre-requisite	Type	W
	Contact person			/Co-requisite
HMTH321	VZH	Analysis 3	H	HMTH231	H	2
HMTH322	VZH	Complex Analysis 3		HMTH231, 236	H	2
HMTH323		Further Real Analysis		/HMTH321	H	2
HMTH324		Further Complex Analysis		/HMTH322	H	2
HMTH326		Applied Group Theory		HMTH025, 202	H	2
HMTH327	PS	Fluid Mechanics		HMTH234	H	2
HMTH328	GM	Partial Differential Equations		HMTH232	H	2
HMTH329		Non-linear Ordinary
		Differential Equations		HMTH212	H	2
HMTH330	MBP	Perturbation Theory		HMTH232	H	2
HMTH331		Calculus of Variations		HMTH231	H	1
HMTH332		Control Theory		HMTH221, 231	H	1
HMTH333		Further Numerical Methods
		with Optimization		HMTH212, 221	H	2
HMTH334	MBP	Numerical Solutions of PDE's		HMTH212	H	2
HMTH035		Commutative Algebra ^#		HMTH015	H	2
HMTH036	AGH	Topology ^#			H	2
HMTH037	MMM	Set Theory and Logic ^#			H	2
HMTH038		Group Theory ^#		HMTH015	H	2
HMTH339		Field Extensions and Galois Theory		HMTH015	H	2
HMTH340		Advanced Graph Theory		HMTH215	H	2
HMTH342		Advanced Probability Theory
=HSTC303				HMTH231, 233	H	2
HMTH343	GAL	General Linear Models
=HSTC311				HMTH223	H	2
HMTH344		Risk Theory
=HSTC308				HMTH233	H	2
HMTH345		Sampling Theory		HMTH213	H	2
HMTH346		Stochastic Processes
=HSTC404				HMTH233	H	2
HMTH370		Project	H		P/H	2

Candidate registered for BSc Hons (Maths) may take at most four units from the following: HMTH342, HMTH343, HMTH344, HMTH345, HMTH346, and STC301, STC302, STC312, STC323, STC324, STC325, STC326.
^# These courses may be taken in Part 2.

NOTES

Honours Projects:

Each HONOURS student will be required to submit a dissertation of between 30 and 50 pages for HMTH370, prepared using LaTeX, by not later than the end of teaching in the second semester. The student will be required to present at least one seminar on his project during the year and may be required to attend an oral examination.
The list of projects available for a given year will be made available by the end of teaching in the second semester of the previous year. Students will be required to select a topic before leaving at the end of that semester and to prepare a project proposal before the start of undergraduate teaching in their Honours year. Part 4 of a Type b Honours Programme shall commence in the Third week of February and students will spend the four weeks prior to the start of lectures selecting their project topic and preparing a project proposal.