ࡱ> ` bjbjss ;-       LLL8LLZjNN:NNNN"O OYYYYYYY$[hb^\Z9 YQNNYQYQZ  NNJZRRRYQ( N NYRYQYRR  RNN LQ"RR`Z0ZR^Q^R^ R\&OO^RPLTP&O&O&OZZR&O&O&OZYQYQYQYQ !+! +       04G1R270 / 89 DEGREE OF BACHELOR OF SCIENCE IN MATHEMATICS WITH GERMAN DESIGNATED DEGREE OF BACHELOR OF SCIENCE IN MATHEMATICS WITH GERMAN* Students must also comply with the University General Regulations and the Supplementary Regulations for the Degree of Bachelor of Science. The table below lists the compulsory courses for this degree together with the overall number of credit points required in each programme year. PROGRAMME YEAR 1 120 Credit PointsFirst Half-SessionSecond Half-SessionCourse CodeCourse TitleCredit pointsCourse CodeCourse TitleCredit pointsMA 1002Calculus20MA 1502Algebra20GERMAN FOR AB INITIO CANDIDATESGM 1040German for Beginners 120GM 1540German for Beginners 220GERMAN FOR STUDENTS WITH A HIGHER OR A-LEVEL PASS IN GERMANAT LEAST TWO OF:GM 1043Modern German Culture 115GM 1543Modern German Culture 215GM 1042German Language 115GM 1542German Language 215Further courses to be chosen with the agreement of your Adviser to give an overall total of 120 credit points (MA 1505 is strongly recommended) PROGRAMME YEAR 2 120 Credit PointsFirst Half-SessionSecond Half-SessionCourse CodeCourse TitleCredit pointsCourse CodeCourse TitleCredit pointsMA 2005Introduction to Analysis15MA 2507Advanced Calculus15MA 2004Sets and Algebraic Structures15MA 2506Linear Algebra15GERMAN FOR AB INITIO CANDIDATESGM 2040German Language (Advanced Introductory) 115GM 2540German Language (Advanced Introductory) 215GERMAN FOR STUDENTS WITH A HIGHER OR A-LEVEL PASS IN GERMANEITHER GM 2042 German Language 3 15AND GM 2542 German Language 4 15OR GM 2043Modern German Culture 3 15AND GM 2543Modern German Culture 4 15Further courses to be chosen with the agreement of your Adviser to give an overall total of 120 credit points (MA 2505 is strongly recommended) JUNIOR HONOURS PROGRAMME YEAR 3 125 Credit pointsFirst Half-SessionSecond Half-SessionCourse CodeCourse TitleCredit pointsCourse CodeCourse TitleCredit pointsGM 3050German Language Study 530MX 3020Group Theory15MX 3531Rings and Fields15MX 3021Further Real Analysis15MX 3521Junior Honours Project5One of the two courses lists below:MX 3522Complex Analysis15MX 3023Mechanics A15MX 3532Metric and Topological Spaces15MX 3022Optimisation and Numerical Analysis (See Note (iv))15 Please see over ! SENIOR HONOURS PROGRAMME YEAR 4 - 120 Credit PointsThree courses from those listed below: Four courses from the list of available Special Options or, with the permission of the Head of Mathematical Sciences, three courses from the list of available Special Options and MX 3533. MX 3023Mechanics A (See Note (iv))15MX 3022Optimisation and Numerical Analysis (See Note (iv))15MX 4008Topology15MX 4082Galois Theory15MX 4037Ordinary Differential Equations15One of the two courses listed below:MX 4020Project15MX 4021External Project15 Notesi.Where alternatives are offered, choice may be restricted by timetable constraintsiiMX 3521 is not included as part of Honours classification. MX 3521 is not included in the programme for candidates at level 3 in 2007/2008.Iii* Designated Programme: See Supplementary Regulation 4.1 (b) A minimum curriculum at level 3 must include at least 90 credit points from the courses listed in the Honours programme of which 30 credit points must be from a level 3 German language course (currently GM 3050).iv.A graduating curriculum for the honours degree must include 90 credit points from level 4 courses. This information whilst correct at the time of going to press, is subject to alteration without notice. Courses of choice agreed with Adviser may be restricted by degree regulations or timetabling, and are subject to approval by your Advisers of Studies. PAGE 204  PAGE 159 The 51cg operates a flexible modular degree structure and details of all the degree programmes available can be accessed through the University web pages at:  HYPERLINK http://www.abdn.ac.uk/registry/calendar.hti http://www.abdn.ac.uk/registry/calendar.hti H  H Y [ \ c d k l n p  8 9 P ] _   [ | #%,KOorPQ()5689~۵µµµµ§§§§šššŽh"CJOJQJ^Jh"huCJOJQJhv[h"6CJOJQJhOh"CJOJQJh"CJOJQJh"5CJOJQJ\^Jh"5CJOJQJh"OJQJ h"5h"5OJQJh"8H  $ h$Ifa$gd"   gd" hd6gd"gd"$ h d6a$gd"gd"$a$gd"  h$Ifgd"ekd$$IfTl4    $'  0    '4 laBf4T   , 9 G H P Y \ vvvvvvqddv h$Ifgd"Ff$ h$Ifa$gd"xkd$$IfTl4    0$  0    '4 laBf4T \ d l o p \LL h $Ifgd"nkd$$IfTl4    $'  0    '4 laBf4p T$ h $Ifa$gd"Ff$ h$Ifa$gd" h$Ifgd"  h $Ifgd"$ h $Ifa$gd"  :'$ h $Ifa$gd"kdr $$IfTl4    ֈ  X $F      n  M  8  0    '4 laBf4T  $ ~$ h $Ifa$gd"nkd $$IfTl4    $'  0    '4 laBf4p T$ % - E H P h k vv$ h $Ifa$gd" h $Ifgd"ekd? $$IfTl4    $' 0    '4 laBf4Tk l t =-- h $Ifgd"kd $$IfTl    ֈ  X $F nM 80    '4 laBT  h $Ifgd"$ h $Ifa$gd" 7 =*$ h $Ifa$gd"kd $$IfTl    ֈ  X $F   n M 8 0    '4 laBT7 8 9 ^ z$ h$Ifa$gd" h d6gd"ekd $$IfTl4    $'  0    '4 laBf4T^ _ r h$Ifgd"ekd$$IfTl4    $'  0    '4 laBf4T vvvvvvqddv h$Ifgd"Ff$ h$Ifa$gd"xkd$$IfTl4    0$  0    '4 laBf4T    $ h$Ifa$gd" h$Ifgd"  > =00 h$Ifgd"kd$$IfTl    ֈ  X $F nM 80    '4 laBT> A I X [ h$Ifgd"$ h$Ifa$gd"[ \ | =*$ h $Ifa$gd"kd$$IfTl    ֈ  X $F    n M  8 0    '4 laBT| } nn$ h $Ifa$gd" h $Ifgd"nkd$$IfTl4    $'  0    '4 laBf4p T $=*$ h $Ifa$gd"kdt$$IfTl    ֈ  X $F      n  M  8  0    '4 laBT$%,45GHKOWXjknnn$ h $Ifa$gd" h $Ifgd"nkd$$IfTl4    $'  0    '4 laBf4p T kno*kd-$$IfTl    ֈ  X $F   n M 8 0    '4 laBT$ h $Ifa$gd"orz$ h $Ifa$gd" h $Ifgd" O=*$ h $Ifa$gd"kd<$$IfTl    ֈ  X $F   n M 8 0    '4 laBTOPQ`zz$ h$Ifa$gd" h d6gd"ekdK$$IfTl4    $'  0    '4 laBf4T h$Ifgd"ekd$$IfTl4    $'  0    '4 laBf4Tvvvvvvqa h $Ifgd"Ff$ h$Ifa$gd"xkd}$$IfTl4    0$  0    '4 laBf4T  !)69`PP:$ h d6$Ifa$gd" h $Ifgd"kd$$IfTl4    FX $ 8 0    '    4 laBf4T$ h $Ifa$gd"9ARU$ h $Ifa$gd" h $Ifgd"UV^t:** h $Ifgd"kd $$IfTl4    ֈ  X $  nM 8 0    '4 laBf4Ttw$ h $Ifa$gd" h $Ifgd"$ h d6$Ifa$gd":'$ h $Ifa$gd"kd"$$IfTl4    ֈ  X $  nM 8 0    '4 laBf4T=kdD#$$IfTl4    \ X $ nM 8 0    '4 laBf4T$ h $Ifa$gd" h $Ifgd" h $Ifgd"$ h $Ifa$gd"$X:** h $Ifgd"kdI$$$IfTl4    ֈ  X $  nM 8 0    '4 laBf4TX[\]^ h $Ifgd"$ h $Ifa$gd"^_`:'''$ h d6a$gd"kd%$$IfTl4    ֈ  X $     n M  8  0    '4 laBf4T_`ofJLRS:;QRͼͱzscWch"0JCJOJQJjh"0JCJOJQJU h"hjQh"CJOJQJ^Jh"5OJQJh"OJQJh"5CJOJQJ\^Jh"5CJOJQJh"7CJOJQJ h"7CJOJPJQJ^Jo(h"7CJOJQJ^Jh"57CJOJQJ^Jh"57CJOJQJh"CJOJQJ  6rgkd&$$IfTl4    $'  0    '4 laBf4T$ p$Ifa$gd"$ h d6a$gd" &'(0LOPrccc p$Ifgd"zkdr'$$IfTl4    0x$  `  0    '4 laBf4T$ p$Ifa$gd"PQY^OO=O$ p$Ifa$gd" p$Ifgd"kdT($$IfTl4    G\h x$ ~    0    '4 laBf4T^OO==$ p$Ifa$gd" p$Ifgd"kd)$$IfTl4    \h x$ ~    0    '4 laBf4T^OO==$ p$Ifa$gd" p$Ifgd"kd*$$IfTl4    \h x$ ~    0    '4 laBf4T^OO=O$ p$Ifa$gd" p$Ifgd"kd&,$$IfTl4    \h x$ ~    0    '4 laBf4T^L= p$Ifgd"$ p$Ifa$gd"kdl-$$IfTl4    \h x$ ~    0    '4 laBf4T'*+uucu$ p$Ifa$gd" p$Ifgd"zkd.$$IfTl4    H0x$    0    '4 laBf4T+,4EHI^OO=O$ p$Ifa$gd" p$Ifgd"kd/$$IfTl4    \h x$ ~    0    '4 laBf4TIJKLR^JJ2$ h d6$Ifa$gd" h  d6^ gd"kd0$$IfTl4    \h x$  ~       0    '4 laBf4TRSV $Ifgd"$ h d6$Ifa$gd"\kd2$$Ifl4 04 laf4:zq $Ifgd"$ h d6$Ifa$gd"lkd2$$Ifl0n R>04 la:;?W|Qzqqq $Ifgd"$ h d6$Ifa$gd"lkd03$$Ifl0n R>04 laQRVzq $Ifgd"$ h d6$Ifa$gd"lkd3$$Ifl0n R>04 la~faXVTOT$a$&`#$gd" h d6^`gd" h  d6^ gd"lkd^4$$Ifl0n R>04 la Ĺ~|un h"hjQ h]h"Uh"0J7CJ'j4h"57CJOJQJUh"57CJOJQJ!jh"57CJOJQJUh"7CJOJQJh"h"CJOJQJh"0JCJOJQJjh"0JCJOJQJU!h"0JCJOJQJmHnHuh[VTTOgd"gd ?rkd6$$IfTlP/%'  &0'4 lap &T$ hp d$Ifa$gd ?$ hp dh$Ifa$gd ? Descriptions of all courses can be found in the Catalogue of Courses or on the University web pages at: http://www.abdn.ac.uk/registry/courses 90P/R :p ?. A!"#$% $$IfB!vh5'#v':V l40    '5'/  4aBf4T$$IfB!vh55#v#v:V l40    '55/  /  / 4aBf4T$$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l <&&&&&&0    '5F5 55n5M 58/ / 4aBp<&&&&&&T kdd$$IfTl    ֈ  X $F nM 8 <&&&&&&0    '4 laBp<&&&&&&T$$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l <0    '5F5 55n5M 58/ / /  4aBp<T kd$$IfTl    ֈ  X $F    n M  8  <0    '4 laBp<T$$IfB!vh5'#v':V l40    '5'/  4aBf4p T!$$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l40    '5F5 55n5M 58/ / /  4aBf4T$$IfB!vh5'#v':V l40    '5'/  4aBf4p T$$IfB!vh5'#v':V l40    '5'/  4aBf4T$$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l0    '5F5 55n5M 58/ 4aBT $$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l0    '5F5 55n5M 58/ /  4aBT$$IfB!vh5'#v':V l40    '5'/  4aBf4T$$IfB!vh5'#v':V l40    '5'/  4aBf4T$$IfB!vh55#v#v:V l40    '55/  /  / 4aBf4T$$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l <&&&&&&0    '5F5 55n5M 58/  / / 4aBp<&&&&&&T kd$$IfTl    ֈ  X $F nM 8 <&&&&&&0    '4 laBp<&&&&&&T $$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l0    '5F5 55n5M 58/ / 4aBT$$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l0    '5F5 55n5M 58/ / /  4aBT$$IfB!vh5'#v':V l40    '5'/  4aBf4p T $$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l0    '5F5 55n5M 58/ /  4aBT$$IfB!vh5'#v':V l40    '5'/  4aBf4p T $$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l0    '5F5 55n5M 58/ /  4aBT $$IfB!vh5F5 55n5M 58#vF#v #v#vn#vM #v8:V l0    '5F5 55n5M 58/ /  4aBT$$IfB!vh5'#v':V l40    '5'/  4aBf4T$$IfB!vh5'#v':V l40    '5'/  4aBf4T$$IfB!vh55#v#v:V l40    '55/  /  / 4aBf4T$$IfB!vh55 55n5M 58#v#v #v#vn#vM #v8:V l <&&&&&&0    '55 55n5M 58/ 4aBp<&&&&&&T kdH$$IfTl    ֈ  X $ nM 8 <&&&&&&0    '4 laBp<&&&&&&T$$IfB!vh5558#v#v#v8:V l40    '5558/  / /  4aBf4T=$$IfB!vh55 55n5M 58#v#v #v#vn#vM #v8:V l40    '55 55n5M 58/  / / / /  4aBf4T=$$IfB!vh55 55n5M 58#v#v #v#vn#vM #v8:V l40    '55 55n5M 58/  / / / /  4aBf4T$$IfB!vh55n5M 58#v#vn#vM #v8:V l40    '55n5M 58/  / / /  4aBf4T=$$IfB!vh55 55n5M 58#v#v #v#vn#vM #v8:V l40    '55 55n5M 58/  / / / /  4aBf4TK$$IfB!vh55 55n5M 58#v#v #v#vn#vM #v8:V l40    '55 55n5M 58/  / / / /  /  4aBf4T$$IfB!vh5'#v':V l40    '5'/  4aBf4T$$IfB!vh55#v#v:V l40    '+55/  /  / /  4aBf4TD$$IfB!vh55~ 55#v#v~ #v#v:V l4G0    '+55~ 55/  / / / / / /  /  4aBf4TD$$IfB!vh55~ 55#v#v~ #v#v:V l40    '+55~ 55/  / / / / / /  /  4aBf4TD$$IfB!vh55~ 55#v#v~ #v#v:V l40    '+55~ 55/  / / / / / /  /  4aBf4TD$$IfB!vh55~ 55#v#v~ #v#v:V l40    '+55~ 55/  / / / / / /  /  4aBf4TD$$IfB!vh55~ 55#v#v~ #v#v:V l40    '+55~ 55/  / / / / / /  /  4aBf4T$$IfB!vh55#v#v:V l4H0    '+55/ /  /  4aBf4TD$$IfB!vh55~ 55#v#v~ #v#v:V l40    '+55~ 55/  / / / / / /  /  4aBf4TD$$IfB!vh55~ 55#v#v~ #v#v:V l40    '+55~ 55/  /  / / / /  /  /  4aBf4T$$If!vh5#v:V l4054af4$$If!vh5R5>#vR#v>:V l05R5>4a$$If!vh5R5>#vR#v>:V l05R5>4a$$If!vh5R5>#vR#v>:V l05R5>4a$$If!vh5R5>#vR#v>:V l05R5>4a%DyK ,http://www.abdn.ac.uk/registry/calendar.htiyK Xhttp://www.abdn.ac.uk/registry/calendar.hti$$If!vh5'#v':V l  &0',5'4ap &T8@8 ?Normal_HmH sH tH Z@Z ? Heading 1"$$ h d6@&a$ 5OJQJR@R ? Heading 5$$ h@&a$5CJOJQJDA@D Default Paragraph FontVi@V  Table Normal :V 44 la (k@(No List TB@T ? Body Text$ h d6a$ 5OJQJNQ@N ? Body Text 3$d1a$7CJOJQJ4@4 ?Header  9r 4 @"4 ?Footer  9r 0U@10 ? Hyperlink>*B*.)@A. ? Page NumberH@RH ' x Balloon TextCJOJQJ^JaJGHop$%^_[\|}$%noOP j0 0L  @$0j0 0L  @$0j00 @$0j00Ќ @$0j00 @$0j00@ @$0j00x @$0j00J @$0j00PJ @$0j0 0!J @$0j0"0#J @$0j0$0%Xm @$0j0&0'm @$0j0(0)m @$0j0*0+n @$0j0,0-8n @$0j0.0/X @$0j004G0H ,9GHPY\dlop$%-EHPhklt789^_r >AIX[\|}$%,45GHKOWXjknorzOPQ` !)69ARUV^tw   $ X [ \ ] ^ _ ` r s t u v w x y z { |       . 1 2 3 ; [ ^ _ `    )*+,-:;<IJa@0@0@0@0p@0p@0p@0p@0p@0p@0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p@0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p@0p @0p@0p @0p@0p @0p@0p @0p@0p @0p@0p @0p @0p@0p @0p @0p@0p @0p@0p @0p @0p@0p @0p @0p @0p @0p@0p@0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p @0p@0p@0p@0p@0p@0p@0p@0p@0p@0p@0p@0p@0p@0p @0p @0p @0p@0p@0p @0p @0p @0p @0p `0p @0p @0p @0p @0p `0p @0p @0p @0p @0p `0p @0p @0p @0p @0p `0p @0p @0p @0p @0p `0p @0p @0p `0p @0p @0p @0p @0p `0p @0p @0p @0p @0p `0p @0p @0p@0p@0p @0p @0p @0p @0p @0p @0p @0p @0p @0p@0p@0p @0p @0p @0p @0p @0p@0p0@0@0@0@0@0@0@0@0@0 @0 @0@000H ,9GHPY\dlop$%-EHPhklt789^_r >AIX[\|}$%,45GHKOWXjknorzOPQ` !)69ARUV^tw   $ X [ \ ] ^ _ ` r s t u v w x y z { |       . 1 2 3 ; [ ^ _ `    )*+,-:;<IJa @0 @0 @0@0 o@0 o@0 o@0 o@0 o@0 o@0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o@0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o@0 o @0 o@0 o @0 o@0 o @0 o@0 o @0 o@0 o @0 o@0 o @0 o @0 o@0 o @0 o @0 o@0 o @0 o@0 o @0 o @0 o@0 o @0 o @0 o @0 o @0 o@0 o@0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o@0 o@0 o@0 o@0 o@0 o@0 o@0 o@0 o@0 o@0 o@0 o@0 o@0 o @0 o @0 o @0 o@0 o@0 o @0 o @0 o @0 o @0 o `0 o @0 o @0 o @0 o @0 o `0 o @0 o @0 o @0 o @0 o `0 o @0 o @0 o @0 o @0 o `0 o @0 o @0 o @0 o @0 o `0 o @0 o @0 o `0 o @0 o @0 o @0 o @0 o `0 o @0 o @0 o @0 o @0 o `0 o @0 o @0 o@0 o@0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o @0 o@0 o@0 o @0 o @0 o @0 o @0 o @0 o@0 o0@0@0@0@0@0@0@0@0@0 @0 @0@0 00 4D \  $ k 7 ^  > [ | $koO9UtX^P+IR:Q !"#$%&'()*+,-./012356789:;<=>?@ABCE 2!!TX _Hlt509129489` r+r+˿r+r+r+Tr+r+dhr+r+Ts  NN\Xdd9*urn:schemas-microsoft-com:office:smarttagsplace= *urn:schemas-microsoft-com:office:smarttags PlaceName=*urn:schemas-microsoft-com:office:smarttags PlaceType     ,-9<Hdj-3p9\}%$ X | `   -9:-ix(X2 ?jQQ\sPl' xYy"sV-l|&DEo ,9GHPY\dlop$%-EHPhklt789^_r >AIX[\|}$%4GKWjnozOPQ !)69ARUV^tw   $ X [ \ ] ^ _ |       . 1 2 3 ; [ ^ _ `    )*,-IJ@,,,,4p p a @  (@ @UnknownGz Times New Roman5Symbol3& z ArialI& ??Arial Unicode MS3z Times5& zaTahoma"1hBfBfC C !24&& 2QHP)? ?2 04B20070 / 89adr142adr142Oh+'0x  4 @ LX`hp04B20070 / 89adr142 Normal.dotadr1422Microsoft Office Word@F#@@C ՜.+,D՜.+,L hp  51cg& 04B20070 / 89 Title 8@ _PID_HLINKSA9b,http://www.abdn.ac.uk/registry/calendar.hti   !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGIJKLMNOPQRSTUVWXYZ[\]^_`abcefghijklmnopqrstuvwxyz{|}~Root Entry FGData H61Tabled^WordDocument;SummaryInformation(DocumentSummaryInformation8CompObjq  FMicrosoft Office Word Document MSWordDocWord.Document.89q