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Mathematics Examples, Lecture Notes and Specimen Exam Questions and Natural Sciences Tripos Mathematics examples


Details on obtaining and updating the source of DAMTP examples. (This is aimed at DAMTP Unix account holders only.), and the list of course codes and titles referred to in these pages.

Examples Sheets for Mathematical Tripos courses run by DPMMS are available from the DPMMS website.

Part IA of the Natural Sciences Tripos: Example Sheets

Example Sheets for Part IA of the Natural Sciences Tripos have migrated to CamTools, which you can enter with a Raven password and where there is general inforamtion about the IA course. If you are not already enrolled then click on Membership > Joinable Sites > Maths: NST IA 12-13 within the site My Workspace after entering the CamTools portal.

You can directly access the course materials here.

PartIII/CASM

The PartIII/CASM example sheets are on a separate page.


get acroread icon These example sheets are available in PostScript and Adobe Portable Document Format (pdf). Adobe Acrobat Reader is a freely available reader for pdf files. With it you will be able to display and print the example sheets and lecture notes below.

CodeDescriptionPDFPostScriptLast Updated
A0Select this link for A0 - Introductory SheetA0.pdf (7.9KB)A0.ps (32.0KB)Mon 8 Nov 2010
A1aVectors and Matrices: Example Sheet 1A1a.pdf (65.6KB)A1a.ps (204.4KB)Thu 4 Oct 2012
A1bVectors and Matrices: Example Sheet 2A1b.pdf (66.0KB)A1b.ps (196.0KB)Thu 18 Oct 2012
A1cVectors and Matrices: Example Sheet 3A1c.pdf (65.4KB)A1c.ps (204.3KB)Tue 6 Nov 2012
A1dVectors and Matrices: Example Sheet 4A1d.pdf (85.2KB)A1d.ps (233.4KB)Tue 15 Jan 2013
A1eVectors and Matrices: Study Sheet 1A1e.pdf (43.5KB)A1e.ps (157.4KB)Wed 6 Oct 2010
A1fVectors and Matrices: Study Sheet 2A1f.pdf (49.2KB)A1f.ps (162.1KB)Wed 20 Oct 2010
A3LaDifferential EquationsA3La.pdf (36.9KB)A3La.ps (104.9KB)Fri 28 Sep 2012
A3aDifferential Equations: Examples Sheet 1A3a.pdf (54.3KB)A3a.ps (141.2KB)Thu 3 Jan 2013
A3bDifferential Equations: Examples Sheet 2A3b.pdf (45.3KB)A3b.ps (117.3KB)Fri 28 Sep 2012
A3cDifferential Equations: Examples Sheet 3A3c.pdf (57.3KB)A3c.ps (145.6KB)Fri 28 Sep 2012
A3dDifferential Equations: Examples Sheet 4A3d.pdf (49.6KB)A3d.ps (127.1KB)Fri 28 Sep 2012
A5aVector Calculus: Examples Sheet 1A5a.pdf (40.6KB)A5a.ps (116.6KB)Tue 22 Jan 2013
A5bVector Calculus: Examples Sheet 2A5b.pdf (42.5KB)A5b.ps (128.4KB)Thu 7 Feb 2013
A5cVector Calculus: Examples Sheet 3A5c.pdf (49.5KB)A5c.ps (137.4KB)Tue 19 Feb 2013
A5dVector Calculus: Examples Sheet 4A5d.pdf (44.6KB)A5d.ps (127.0KB)Tue 5 Mar 2013
A5fVector Calculus: Formula SheetA5f.pdf (27.1KB)A5f.ps (80.9KB)Mon 18 Feb 2013
A5sVector Calculus: Supplementary NotesA5s.pdf (78.9KB)A5s.ps (186.2KB)Mon 18 Mar 2013
A7aDynamics and Relativity: Examples Sheet 1A7a.pdf (53.7KB)A7a.ps (136.4KB)Thu 14 Mar 2013
A7bDynamics and Relativity: Examples Sheet 2A7b.pdf (52.7KB)A7b.ps (126.9KB)Thu 14 Mar 2013
A7cDynamics and Relativity: Examples Sheet 3A7c.pdf (48.9KB)A7c.ps (117.3KB)Thu 14 Mar 2013
A7dDynamics and Relativity: Examples Sheet 4A7d.pdf (48.2KB)A7d.ps (121.8KB)Wed 27 Feb 2013
B10LaElectromagnetism: Lecture notes chapters 1 & 2 (Lent 2004)B10La.pdf (148.9KB)B10La.ps (291.7KB)Thu 10 Jan 2013
B10LbElectromagnetism: Lecture notes chapter 3 (Lent 2004)B10Lb.pdf (109.1KB)B10Lb.ps (236.3KB)Thu 10 Jan 2013
B10LcElectromagnetism: Lecture notes chapter 4 (Lent 2004)B10Lc.pdf (79.3KB)B10Lc.ps (185.2KB)Thu 10 Jan 2013
B10LdElectromagnetism: Lecture notes chapter 5 (Lent 2004)B10Ld.pdf (107.3KB)B10Ld.ps (241.3KB)Thu 10 Jan 2013
B10aElectromagnetism IB. Example sheet 1.B10a.pdf (35.6KB)B10a.ps (103.8KB)Wed 9 Jan 2013
B10bElectromagnetism IB. Example sheet 2.B10b.pdf (39.7KB)B10b.ps (115.6KB)Wed 9 Jan 2013
B10cElectromagnetism IB. Example sheet 3.B10c.pdf (44.1KB)B10c.ps (116.3KB)Wed 9 Jan 2013
B10vcElectromagnetism: Vector Calculus notes and examples (Lent 2004)B10vc.pdf (66.7KB)B10vc.ps (161.6KB)Mon 15 Nov 2004
B11aSpecial RelativityB11a.pdf (54.7KB)B11a.ps (135.8KB)Mon 2 Mar 2009
B12aFluid Dynamics: Example Sheet 1B12a.pdf (44.9KB)B12a.ps (125.6KB)Thu 17 Jan 2013
B12bFluid Dynamics: Example Sheet 2B12b.pdf (45.6KB)B12b.ps (126.5KB)Thu 17 Jan 2013
B12cFluid Dynamics: Example Sheet 3B12c.pdf (47.5KB)B12c.ps (129.6KB)Thu 17 Jan 2013
B12dFluid Dynamics: Suggested Tripos QuestionsB12d.pdf (30.7KB)B12d.ps (89.3KB)Wed 14 Mar 2012
B12oaFluid Dynamics: Example Sheet 1 (Old Syllabus)B12oa.pdf (39.5KB)B12oa.ps (111.1KB)Wed 14 Mar 2012
B12obFluid Dynamics: Example Sheet 2 (Old Syllabus)B12ob.pdf (46.5KB)B12ob.ps (119.0KB)Wed 14 Mar 2012
B12ocFluid Dynamics: Example Sheet 3 (Old Syllabus)B12oc.pdf (44.1KB)B12oc.ps (123.7KB)Wed 14 Mar 2012
B13aNumerical Analysis: Example Sheet 1B13a.pdf (73.1KB)B13a.ps (210.2KB)Wed 23 Jan 2013
B13bNumerical Analysis: Example Sheet 2B13b.pdf (70.5KB)B13b.ps (206.9KB)Wed 6 Feb 2013
B13cNumerical Analysis: Example Sheet 3B13c.pdf (59.2KB)B13c.ps (179.8KB)Tue 5 Mar 2013
B6aVariational PrinciplesB6a.pdf (60.9KB)B6a.ps (183.7KB)Thu 26 Apr 2012
B6bVariational principlesB6b.pdf (62.4KB)B6b.ps (188.0KB)Mon 9 Jul 2012
B6cOld versionB6c.pdf (159.3KB)B6c.ps (335.2KB)Tue 8 May 2012
B7aComplex Methods: Example Sheet 1B7a.pdf (57.6KB)B7a.ps (115.9KB)Wed 30 Jan 2013
B7bComplex Methods: Example Sheet 2B7b.pdf (50.6KB)B7b.ps (113.9KB)Mon 11 Feb 2013
B7cComplex Methods: Example Sheet 3B7c.pdf (52.5KB)B7c.ps (107.2KB)Mon 18 Feb 2013
B8LaMethods: Lecture Notes IB8La.pdf (314.4KB)N/AMon 1 Oct 2012
B8LbMethods: Lecture Notes IIB8Lb.pdf (485.4KB)N/AThu 11 Oct 2012
B8LcMethods: Lecture Notes IIIB8Lc.pdf (669.8KB)N/AWed 24 Oct 2012
B8LdMethods: Lecture Notes IVB8Ld.pdf (288.7KB)N/AWed 7 Nov 2012
B8aMethods: Examples IB8a.pdf (56.4KB)B8a.ps (155.1KB)Fri 5 Oct 2012
B8bMethods: Examples IIB8b.pdf (64.7KB)B8b.ps (176.7KB)Fri 12 Oct 2012
B8cMethods: Examples IIIB8c.pdf (59.0KB)B8c.ps (165.4KB)Wed 24 Oct 2012
B8dMethods: Examples IVB8d.pdf (56.5KB)B8d.ps (160.7KB)Thu 8 Nov 2012
B9LbProf Dorey Lecture Notes on QMB9Lb.pdf (670.7KB)B9Lb.ps (5.2MB)Tue 30 Sep 2008
B9aQuantum Mechanics Example 1 2012B9a.pdf (56.8KB)B9a.ps (149.4KB)Thu 11 Oct 2012
B9bQuantum Mechanics Example 2 2012B9b.pdf (52.6KB)B9b.ps (139.3KB)Sat 13 Oct 2012
B9cQuantum Mechanics Example 3 2012B9c.pdf (44.4KB)B9c.ps (125.3KB)Sun 14 Oct 2012
C10aCosmologyC10a.pdf (66.5KB)C10a.ps (173.3KB)Tue 29 Jan 2013
C10bCosmologyC10b.pdf (59.4KB)C10b.ps (161.1KB)Tue 29 Jan 2013
C10cCosmologyC10c.pdf (66.1KB)C10c.ps (173.2KB)Mon 25 Feb 2013
C10dCosmologyC10d.pdf (63.9KB)C10d.ps (167.5KB)Tue 26 Mar 2013
C10eCosmologyC10e.pdf (71.1KB)C10e.ps (166.4KB)Fri 29 Apr 2005
C6aMathematical Biology: Example Sheet 1C6a.pdf (46.4KB)C6a.ps (119.6KB)Tue 15 Jan 2013
C6bMathematical Biology Example Sheet 2C6b.pdf (48.1KB)C6b.ps (121.0KB)Wed 13 Feb 2013
C6cMathematical Biology Example Sheet 3C6c.pdf (57.6KB)C6c.ps (148.7KB)Fri 1 Mar 2013
C6dMathematical Biology Example Sheet 4C6d.pdf (33.7KB)C6d.ps (92.8KB)Wed 13 Mar 2013
C6eMathematical Biology C6e.pdf (376.6KB)N/AFri 2 Feb 2007
C7aDynamical Systems: Example Sheet 1C7a.pdf (29.5KB)C7a.ps (80.7KB)Wed 3 Oct 2012
C7bDynamical Systems: Example Sheet 2C7b.pdf (34.8KB)C7b.ps (90.3KB)Wed 24 Oct 2012
C7cDynamical Systems: Example Sheet 3C7c.pdf (29.2KB)C7c.ps (76.2KB)Sat 10 Nov 2012
C7dDynamical Systems: Example Sheet 4C7d.pdf (41.0KB)C7d.ps (118.5KB)Thu 22 Nov 2012
C7eDynamical Systems: NotesC7e.pdf (3.0MB)C7e.ps (13.2MB)Sun 20 Nov 2011
C8aFurther Complex Methods: Sheet 1C8a.pdf (41.1KB)C8a.ps (120.8KB)Sat 5 Jan 2013
C8bFurther Complex Methods: Sheet 2C8b.pdf (42.2KB)C8b.ps (122.2KB)Mon 4 Feb 2013
C8cFurther Complex Methods: Sheet 3C8c.pdf (46.5KB)C8c.ps (131.4KB)Fri 22 Feb 2013
C8dFurther Complex Methods: Sheet 4C8d.pdf (38.8KB)C8d.ps (105.7KB)Wed 6 Mar 2013
C9aClassical Dynamics: Examples Sheet 1C9a.pdf (50.6KB)C9a.ps (136.0KB)Sat 6 Oct 2012
C9bClassical Dynamics: Examples Sheet 2C9b.pdf (51.0KB)C9b.ps (160.7KB)Mon 5 Nov 2012
C9cClassical Dynamics: Example Sheet 3C9c.pdf (56.6KB)C9c.ps (151.1KB)Tue 6 Nov 2012
C9dClassical Dynamics: Example Sheet 4C9d.pdf (62.0KB)C9d.ps (150.3KB)Fri 14 Dec 2012
D15aPartial Differential EquationsD15a.pdf (88.2KB)D15a.ps (211.4KB)Wed 10 Oct 2012
D15bPartial Differential Equations Sheet IID15b.pdf (104.4KB)D15b.ps (192.1KB)Sun 25 Nov 2012
D15cPartial Differential Equations Sheet IIID15c.pdf (87.8KB)D15c.ps (175.8KB)Tue 27 Nov 2012
D15dPartial Differential Equations Sheet IVD15d.pdf (154.4KB)D15d.ps (267.4KB)Tue 27 Nov 2012
D16aAsymptotic Methods: Example Sheet 1D16a.pdf (44.5KB)D16a.ps (119.9KB)Tue 29 Jan 2013
D16bAsymptotic Methods: Example Sheet 2D16b.pdf (48.4KB)D16b.ps (134.4KB)Wed 13 Feb 2013
D16cAsymptotic Methods: Example Sheet 3D16c.pdf (55.6KB)D16c.ps (145.7KB)Sat 23 Feb 2013
D17aIntegrable Systems: Example Sheet 1D17a.pdf (121.9KB)N/AMon 15 Oct 2012
D17bIntegrable Systems: Example Sheet 2D17b.pdf (104.1KB)N/AThu 1 Nov 2012
D17cIntegrable Systems: Example Sheet 3D17c.pdf (120.1KB)N/AFri 9 Nov 2012
D18EPrinciples of Quantum Mechanics: Supplementary Past Tripos ProblemsD18E.pdf (61.4KB)D18E.ps (158.0KB)Mon 15 Nov 2004
D18LPrinciples of Quantum Mechanics: FQM 1997 Lecture NotesD18L.pdf (226.5KB)D18L.ps (387.4KB)Mon 15 Nov 2004
D18RPrinciples of Quantum Mechanics - Supplementary Notes: material from IB QMD18R.pdf (85.0KB)D18R.ps (204.7KB)Tue 9 Oct 2012
D18SPrinciples of Quantum Mechanics - Supplementary Notes: interesting material beyond the syllabusD18S.pdf (137.6KB)D18S.ps (301.5KB)Tue 9 Oct 2012
D18aPrinciples of Quantum Mechanics: Example Sheet 1D18a.pdf (59.2KB)D18a.ps (159.1KB)Tue 9 Oct 2012
D18bPrinciples of Quantum Mechanics: Example Sheet 2D18b.pdf (63.0KB)D18b.ps (163.8KB)Tue 9 Oct 2012
D18cPrinciples of Quantum Mechanics: Example Sheet 3D18c.pdf (54.3KB)D18c.ps (145.4KB)Tue 9 Oct 2012
D18dPrinciples of Quantum Mechanics: Example Sheet 4D18d.pdf (62.2KB)D18d.ps (165.0KB)Tue 9 Oct 2012
D19aApplications of Quantum Mechanics: Example Sheet ID19a.pdf (46.2KB)D19a.ps (140.5KB)Mon 14 Jan 2013
D19bApplications of Quantum Mechanics: Example Sheet IID19b.pdf (51.7KB)D19b.ps (153.1KB)Mon 4 Mar 2013
D19cApplications of Quantum Mechanics: Example Sheet IIID19c.pdf (59.3KB)D19c.ps (176.9KB)Mon 4 Mar 2013
D19dApplications of Quantum Mechanics: Example Sheet IVD19d.pdf (62.3KB)D19d.ps (174.0KB)Fri 15 Mar 2013
D20aStatistical Physics: Example Sheet ID20a.pdf (59.3KB)D20a.ps (149.2KB)Mon 28 Jan 2013
D20bStatistical Physics: Example Sheet IID20b.pdf (50.1KB)D20b.ps (128.2KB)Thu 21 Feb 2013
D20cStatistical Physics: Example Sheet IIID20c.pdf (50.5KB)D20c.ps (130.5KB)Thu 21 Feb 2013
D20dStatistical Physics: Example Sheet IVD20d.pdf (99.3KB)D20d.ps (618.5KB)Wed 6 Mar 2013
D21LElectrodynamics: Lecture NotesD21L.pdf (242.8KB)D21L.ps (402.7KB)Mon 15 Nov 2004
D21aIIB Electrodynamics: Example Sheet 1D21a.pdf (66.4KB)D21a.ps (171.8KB)Tue 23 Oct 2012
D21bIIB Electrodynamics: Example Sheet 2D21b.pdf (65.3KB)D21b.ps (172.6KB)Fri 18 Jan 2013
D21cElectrodynamics: Example Sheet 3D21c.pdf (59.9KB)D21c.ps (159.7KB)Fri 30 Nov 2012
D22LaGeneral Relativity: ScheduleD22La.pdf (39.8KB)D22La.ps (104.8KB)Mon 15 Nov 2004
D22LbGeneral Relativity: Lecture NotesD22Lb.pdf (445.7KB)D22Lb.ps (726.0KB)Wed 1 Feb 2006
D22aGeneral Relativity: Examples 1D22a.pdf (62.9KB)D22a.ps (164.5KB)Mon 14 Jan 2013
D22bGeneral Relativity: Examples 2D22b.pdf (63.0KB)D22b.ps (159.4KB)Mon 14 Jan 2013
D22cGeneral Relativity: Examples 3D22c.pdf (62.1KB)D22c.ps (157.2KB)Mon 14 Jan 2013
D22dGeneral Relativity: Examples 4D22d.pdf (60.0KB)D22d.ps (152.7KB)Mon 14 Jan 2013
D23LaFluid Dynamics II: ContentsD23La.pdf (21.7KB)D23La.ps (73.4KB)Thu 14 Jan 2010
D23LbFluid Dynamics II: BooksD23Lb.pdf (19.4KB)D23Lb.ps (64.8KB)Thu 14 Jan 2010
D23LcFluid Dynamics II: Revision of Fluids IBD23Lc.pdf (35.9KB)D23Lc.ps (109.7KB)Thu 14 Jan 2010
D23LdFluid Dynamics II: Lecture NotesD23Ld.pdf (366.0KB)D23Ld.ps (553.4KB)Fri 5 Dec 2008
D23aFluid Dynamics II: Example Sheet 1D23a.pdf (43.8KB)D23a.ps (119.0KB)Mon 15 Oct 2012
D23bFluid Dynamics II: Example Sheet 2D23b.pdf (41.1KB)D23b.ps (119.7KB)Fri 19 Oct 2012
D23cFluid Dynamics II: Example Sheet 3D23c.pdf (39.1KB)D23c.ps (114.9KB)Mon 29 Oct 2012
D23dFluid Dynamics II: Example Sheet 4D23d.pdf (37.6KB)D23d.ps (102.4KB)Mon 12 Nov 2012
D24aWaves: Example Sheet 1D24a.pdf (64.4KB)D24a.ps (166.0KB)Sat 19 Jan 2013
D24bWaves: Example Sheet 2D24b.pdf (64.2KB)D24b.ps (177.3KB)Tue 12 Feb 2013
D24cWaves: Example Sheet 3D24c.pdf (60.3KB)D24c.ps (160.5KB)Sat 19 Jan 2013
D24dWaves: Example Sheet 4D24d.pdf (62.6KB)D24d.ps (171.0KB)Sat 19 Jan 2013
D25aNumerical Analysis: Exercise Sheet 1D25a.pdf (58.9KB)D25a.ps (109.8KB)Tue 3 Nov 2009
D25bNumerical Analysis: Exercise Sheet 2D25b.pdf (56.4KB)D25b.ps (104.3KB)Tue 3 Nov 2009
D25cNumerical Analysis: Exercise Sheet 3D25c.pdf (58.6KB)D25c.ps (152.6KB)Fri 29 Mar 2013
D25dNumerical Analysis: Exercise Sheet 4D25d.pdf (68.0KB)D25d.ps (167.2KB)Mon 15 Nov 2004
N21aNST IB Mathematical Methods I: Example Sheet 0N21a.pdf (43.0KB)N21a.ps (133.9KB)Fri 5 Oct 2012
N21bNST IB Mathematical Methods I: Example Sheet 1N21b.pdf (66.5KB)N21b.ps (177.9KB)Wed 31 Oct 2012
N21cNST IB Mathematical Methods I: Example Sheet 2N21c.pdf (50.7KB)N21c.ps (135.6KB)Thu 18 Oct 2012
N21dNST IB Mathematical Methods I: Example Sheet 3N21d.pdf (47.8KB)N21d.ps (138.3KB)Thu 1 Nov 2012
N21eNST IB Mathematical Methods I: Example Sheet 4N21e.pdf (41.1KB)N21e.ps (121.6KB)Fri 16 Nov 2012
N22aNST IB Mathematical Methods II: Example Sheet 1N22a.pdf (64.2KB)N22a.ps (156.2KB)Thu 17 Jan 2008
N22bNST IB Mathematical Methods II: Example Sheet 2N22b.pdf (63.9KB)N22b.ps (146.8KB)Wed 16 Jan 2008
N22cNST IB Mathematical Methods II: Example Sheet 3N22c.pdf (55.7KB)N22c.ps (133.1KB)Wed 16 Jan 2008
N22dNST IB Mathematical Methods II: Example Sheet 4N22d.pdf (63.0KB)N22d.ps (156.0KB)Wed 16 Jan 2008
N23LNST IB Mathematical Methods III: notesN23L.pdf (627.9KB)N23L.ps (1.8MB)Mon 23 Apr 2012
N23aNST IB Mathematical Methods III: Example Sheet 1N23a.pdf (44.3KB)N23a.ps (169.5KB)Sun 29 Apr 2012
N23bNST IB Mathematical Methods III: Example Sheet 2N23b.pdf (45.5KB)N23b.ps (129.9KB)Thu 17 May 2012
Additional course materials for Part IB of the Natural Sciences are available using CamTools.

Part IA of the Natural Sciences Tripos: Example Sheets

The NST IA Example Sheets are no longer kept on this page, you can access them by following this link. See the section on NST 1A Example Sheets at the top of this page for more information.
 

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