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Department of Applied Mathematics and Theoretical Physics |
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 11-12 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.
 | 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. |
| Code | Description | PostScript | Last Updated | |
| A0 | Select this link for A0 - Introductory Sheet | A0.pdf (7.9KB) | A0.ps (32.0KB) | Mon 8 Nov 2010 |
| A1a | Vectors and Matrices: Example Sheet 1 | A1a.pdf (63.7KB) | A1a.ps (195.8KB) | Wed 12 Oct 2011 |
| A1b | Vectors and Matrices: Example Sheet 2 | A1b.pdf (66.0KB) | A1b.ps (196.0KB) | Fri 21 Oct 2011 |
| A1c | Vectors and Matrices: Example Sheet 3 | A1c.pdf (65.4KB) | A1c.ps (204.3KB) | Fri 21 Oct 2011 |
| A1d | Vectors and Matrices: Example Sheet 4 | A1d.pdf (85.3KB) | A1d.ps (233.4KB) | Fri 21 Oct 2011 |
| A1e | Vectors and Matrices: Study Sheet 1 | A1e.pdf (43.5KB) | A1e.ps (157.4KB) | Wed 6 Oct 2010 |
| A1f | Vectors and Matrices: Study Sheet 2 | A1f.pdf (49.2KB) | A1f.ps (162.1KB) | Wed 20 Oct 2010 |
| A3La | Differential Equations | A3La.pdf (37.1KB) | A3La.ps (105.6KB) | Thu 13 Oct 2011 |
| A3a | Differential Equations: Examples Sheet 1 | A3a.pdf (54.8KB) | A3a.ps (142.9KB) | Tue 11 Oct 2011 |
| A3b | Differential Equations: Examples Sheet 2 | A3b.pdf (45.7KB) | A3b.ps (118.4KB) | Mon 10 Oct 2011 |
| A3c | Differential Equations: Examples Sheet 3 | A3c.pdf (57.8KB) | A3c.ps (147.0KB) | Thu 10 Nov 2011 |
| A3d | Differential Equations: Examples Sheet 4 | A3d.pdf (50.2KB) | A3d.ps (129.2KB) | Mon 28 Nov 2011 |
| A5a | Vector Calculus: Examples Sheet 1 | A5a.pdf (40.6KB) | A5a.ps (116.6KB) | Tue 24 Jan 2012 |
| A5b | Vector Calculus: Examples Sheet 2 | A5b.pdf (42.0KB) | A5b.ps (128.1KB) | Thu 9 Feb 2012 |
| A5c | Vector Calculus: Examples Sheet 3 | A5c.pdf (48.2KB) | A5c.ps (137.5KB) | Fri 25 Feb 2011 |
| A5d | Vector Calculus: Examples Sheet 4 | A5d.pdf (41.9KB) | A5d.ps (123.0KB) | Wed 9 Mar 2011 |
| A5f | Vector Calculus: Formula Sheet | A5f.pdf (24.1KB) | A5f.ps (76.9KB) | Mon 28 Feb 2011 |
| A7a | Dynamics and Relativity: Examples Sheet 1 | A7a.pdf (53.2KB) | A7a.ps (135.8KB) | Mon 6 Feb 2012 |
| A7b | Dynamics and Relativity: Examples Sheet 2 | A7b.pdf (49.4KB) | A7b.ps (123.7KB) | Fri 13 Jan 2012 |
| A7c | Dynamics and Relativity: Examples Sheet 3 | A7c.pdf (50.1KB) | A7c.ps (117.1KB) | Fri 13 Jan 2012 |
| A7d | Dynamics and Relativity: Examples Sheet 4 | A7d.pdf (48.2KB) | A7d.ps (121.8KB) | Fri 13 Jan 2012 |
| B10La | Electromagnetism: Lecture notes chapters 1 & 2 (Lent 2004) | B10La.pdf (162.6KB) | B10La.ps (295.3KB) | Mon 15 Nov 2004 |
| B10Lb | Electromagnetism: Lecture notes chapter 3 (Lent 2004) | B10Lb.pdf (120.1KB) | B10Lb.ps (238.3KB) | Mon 15 Nov 2004 |
| B10Lc | Electromagnetism: Lecture notes chapter 4 (Lent 2004) | B10Lc.pdf (86.9KB) | B10Lc.ps (186.3KB) | Mon 15 Nov 2004 |
| B10Ld | Electromagnetism: Lecture notes chapter 5 (Lent 2004) | B10Ld.pdf (118.8KB) | B10Ld.ps (243.3KB) | Mon 15 Nov 2004 |
| B10a | Electromagnetism IB. Example sheet 1. | B10a.pdf (35.7KB) | B10a.ps (103.8KB) | Mon 23 Jan 2012 |
| B10b | Electromagnetism IB. Example sheet 2. | B10b.pdf (39.8KB) | B10b.ps (115.6KB) | Mon 23 Jan 2012 |
| B10c | Electromagnetism IB. Example sheet 3. | B10c.pdf (44.1KB) | B10c.ps (116.3KB) | Mon 23 Jan 2012 |
| B10vc | Electromagnetism: Vector Calculus notes and examples (Lent 2004) | B10vc.pdf (66.7KB) | B10vc.ps (161.6KB) | Mon 15 Nov 2004 |
| B11a | Special Relativity | B11a.pdf (54.7KB) | B11a.ps (135.8KB) | Mon 2 Mar 2009 |
| B12a | Fluid Dynamics: Example Sheet 1 | B12a.pdf (44.8KB) | B12a.ps (125.5KB) | Thu 19 Jan 2012 |
| B12b | Fluid Dynamics: Example Sheet 2 | B12b.pdf (45.3KB) | B12b.ps (126.0KB) | Mon 6 Feb 2012 |
| B12c | Fluid Dynamics: Example Sheet 3 | B12c.pdf (37.9KB) | B12c.ps (102.4KB) | Tue 1 Mar 2011 |
| B12d | Fluid Dynamics: Example Sheet 1 (Old Syllabus) | B12d.pdf (42.0KB) | B12d.ps (111.4KB) | Tue 1 Feb 2005 |
| B12e | Fluid Dynamics: Example Sheet 2 (Old Syllabus) | B12e.pdf (49.4KB) | B12e.ps (119.5KB) | Tue 1 Feb 2005 |
| B12f | Fluid Dynamics: Example Sheet 3 (Old Syllabus) | B12f.pdf (53.0KB) | B12f.ps (134.0KB) | Tue 1 Feb 2005 |
| B13a | Numerical Analysis: Example Sheet 1 | B13a.pdf (73.0KB) | B13a.ps (210.0KB) | Thu 26 Jan 2012 |
| B13b | Numerical Analysis: Example Sheet 2 | B13b.pdf (69.7KB) | B13b.ps (206.6KB) | Wed 2 Mar 2011 |
| B13c | Numerical Analysis: Example Sheet 3 | B13c.pdf (57.8KB) | B13c.ps (178.8KB) | Mon 28 Feb 2011 |
| B6a | Variational Principles | B6a.pdf (159.2KB) | B6a.ps (335.2KB) | Fri 6 May 2011 |
| B7a | Complex Methods: Example Sheet 1 | B7a.pdf (49.0KB) | B7a.ps (136.3KB) | Tue 7 Feb 2012 |
| B7b | Complex Methods: Example Sheet 2 | B7b.pdf (49.7KB) | B7b.ps (145.3KB) | Tue 15 Feb 2011 |
| B7c | Complex Methods: Example Sheet 3 | B7c.pdf (54.9KB) | B7c.ps (158.6KB) | Tue 2 Mar 2010 |
| B8La | Methods: Lecture Notes I | B8La.pdf (314.7KB) | N/A | Mon 3 Oct 2011 |
| B8Lb | Methods: Lecture Notes II | B8Lb.pdf (486.0KB) | N/A | Mon 3 Oct 2011 |
| B8Lc | Methods: Lecture Notes III | B8Lc.pdf (362.4KB) | N/A | Mon 3 Oct 2011 |
| B8Ld | Methods: Lecture Notes IV | B8Ld.pdf (288.7KB) | N/A | Mon 3 Oct 2011 |
| B8a | Methods: Examples I | B8a.pdf (56.4KB) | B8a.ps (155.1KB) | Mon 3 Oct 2011 |
| B8b | Methods: Examples II | B8b.pdf (64.8KB) | B8b.ps (176.7KB) | Fri 14 Oct 2011 |
| B8c | Methods: Examples III | B8c.pdf (59.1KB) | B8c.ps (165.4KB) | Fri 18 Nov 2011 |
| B8d | Methods: Examples IV | B8d.pdf (56.6KB) | B8d.ps (160.7KB) | Fri 21 Oct 2011 |
| B9Lb | Quantum Mechanics: Lecture Notes | B9Lb.pdf (670.7KB) | B9Lb.ps (5.2MB) | Tue 30 Sep 2008 |
| B9a | Quantum Mechanics (2011): Example Sheet 1 | B9a.pdf (50.4KB) | B9a.ps (128.8KB) | Thu 13 Oct 2011 |
| B9be | Quantum Mechanics (2011) Ex 2 | B9be.pdf (54.7KB) | B9be.ps (145.2KB) | Mon 14 Nov 2011 |
| B9ce | Quantum Mechanics (2011) Ex 3 | B9ce.pdf (52.7KB) | B9ce.ps (144.6KB) | Thu 17 Nov 2011 |
| C10a | Cosmology | C10a.pdf (58.0KB) | C10a.ps (157.0KB) | Thu 13 Oct 2011 |
| C10b | Cosmology | C10b.pdf (69.2KB) | C10b.ps (183.3KB) | Tue 15 Nov 2011 |
| C10c | Cosmology | C10c.pdf (54.1KB) | C10c.ps (146.8KB) | Mon 31 Oct 2011 |
| C10d | Cosmology | C10d.pdf (65.7KB) | C10d.ps (177.0KB) | Tue 8 Nov 2011 |
| C10e | Cosmology | C10e.pdf (71.1KB) | C10e.ps (166.4KB) | Fri 29 Apr 2005 |
| C6a | Mathematical Biology: Example Sheet 1 | C6a.pdf (61.0KB) | C6a.ps (165.6KB) | Mon 23 Jan 2012 |
| C6b | Mathematical Biology Example Sheet 2 | C6b.pdf (51.9KB) | C6b.ps (146.7KB) | Fri 18 Feb 2011 |
| C6c | Mathematical Biology Example Sheet 3 | C6c.pdf (65.9KB) | C6c.ps (184.4KB) | Wed 2 Mar 2011 |
| C6d | Mathematical Biology Example Sheet 4 | C6d.pdf (42.1KB) | C6d.ps (125.8KB) | Sun 6 Mar 2011 |
| C6e | Mathematical Biology | C6e.pdf (376.6KB) | N/A | Fri 2 Feb 2007 |
| C7a | Dynamical Systems: Example Sheet 1 | C7a.pdf (29.2KB) | C7a.ps (80.4KB) | Wed 12 Oct 2011 |
| C7b | Dynamical Systems: Example Sheet 2 | C7b.pdf (34.3KB) | C7b.ps (89.7KB) | Tue 25 Oct 2011 |
| C7c | Dynamical Systems: Example Sheet 3 | C7c.pdf (42.0KB) | C7c.ps (123.4KB) | Mon 14 Nov 2011 |
| C7d | Dynamical Systems: Example Sheet 4 | C7d.pdf (41.0KB) | C7d.ps (116.1KB) | Tue 29 Nov 2011 |
| C7e | Dynamical Systems: Notes | C7e.pdf (3.0MB) | C7e.ps (13.2MB) | Sun 20 Nov 2011 |
| C8a | Further Complex Methods: Sheet 1 | C8a.pdf (40.9KB) | C8a.ps (120.1KB) | Thu 2 Feb 2012 |
| C8b | Further Complex Methods: sheet 2 | C8b.pdf (37.0KB) | C8b.ps (112.0KB) | Thu 2 Feb 2012 |
| C8c | Further Complex Methods: sheet 3 | C8c.pdf (41.6KB) | C8c.ps (123.1KB) | Thu 2 Feb 2012 |
| C8d | Further Complex Methods: sheet 4 | C8d.pdf (48.2KB) | C8d.ps (140.8KB) | Thu 2 Feb 2012 |
| C8e | Further Complex Methods: revision | C8e.pdf (43.8KB) | C8e.ps (129.3KB) | Thu 2 Feb 2012 |
| C9a | Classical Dynamics: Examples Sheet 1 | C9a.pdf (50.6KB) | C9a.ps (136.0KB) | Fri 21 Oct 2011 |
| C9b | Classical Dynamics: Examples Sheet 2 | C9b.pdf (46.4KB) | C9b.ps (143.3KB) | Sat 29 Oct 2011 |
| C9c | Classical Dynamics: Example Sheet 3 | C9c.pdf (56.7KB) | C9c.ps (151.1KB) | Thu 17 Nov 2011 |
| C9d | Classical Dynamics: Example Sheet 4 | C9d.pdf (62.0KB) | C9d.ps (150.3KB) | Wed 30 Nov 2011 |
| D15a | Partial Differential Equations: Example Sheet 1 | D15a.pdf (86.8KB) | N/A | Mon 8 Nov 2010 |
| D15b | Partial Differential Equations: Example Sheet 2 | D15b.pdf (73.9KB) | N/A | Mon 8 Nov 2010 |
| D15c | Partial Differential Equations: Example Sheet 3 | D15c.pdf (85.6KB) | N/A | Mon 8 Nov 2010 |
| D15d | Partial Differential Equations: Example Sheet 4 | D15d.pdf (79.2KB) | N/A | Mon 8 Nov 2010 |
| D16a | Asymptotic Methods: Example Sheet 1 | D16a.pdf (44.6KB) | D16a.ps (119.9KB) | Mon 30 Jan 2012 |
| D16b | Asymptotic Methods: Example Sheet 2 | D16b.pdf (51.3KB) | D16b.ps (138.7KB) | Mon 14 Feb 2011 |
| D16c | Asymptotic Methods: Example Sheet 3 | D16c.pdf (50.6KB) | D16c.ps (135.2KB) | Tue 8 Mar 2011 |
| D17a | Integrable Systems: Example Sheet 1 | D17a.pdf (54.2KB) | D17a.ps (141.1KB) | Tue 24 Jan 2012 |
| D17b | Integrable Systems: Example Sheet 2 | D17b.pdf (44.1KB) | D17b.ps (119.2KB) | Tue 24 Jan 2012 |
| D17c | Integrable Systems: Example Sheet 3 | D17c.pdf (46.6KB) | D17c.ps (119.6KB) | Tue 24 Jan 2012 |
| D18E | Principles of Quantum Mechanics: Supplementary Past Tripos Problems | D18E.pdf (61.4KB) | D18E.ps (158.0KB) | Mon 15 Nov 2004 |
| D18L | Principles of Quantum Mechanics: FQM 1997 Lecture Notes | D18L.pdf (226.5KB) | D18L.ps (387.4KB) | Mon 15 Nov 2004 |
| D18R | Principles of Quantum Mechanics - Supplementary Notes: material from IB QM | D18R.pdf (85.1KB) | D18R.ps (204.7KB) | Thu 13 Oct 2011 |
| D18S | Principles of Quantum Mechanics - Supplementary Notes: interesting material beyond the syllabus | D18S.pdf (137.6KB) | D18S.ps (301.5KB) | Thu 13 Oct 2011 |
| D18a | Principles of Quantum Mechanics: Example Sheet 1 | D18a.pdf (59.2KB) | D18a.ps (159.1KB) | Thu 13 Oct 2011 |
| D18b | Principles of Quantum Mechanics: Example Sheet 2 | D18b.pdf (63.0KB) | D18b.ps (163.8KB) | Thu 13 Oct 2011 |
| D18c | Principles of Quantum Mechanics: Example Sheet 3 | D18c.pdf (54.3KB) | D18c.ps (145.4KB) | Thu 13 Oct 2011 |
| D18d | Principles of Quantum Mechanics: Example Sheet 4 | D18d.pdf (62.2KB) | D18d.ps (165.0KB) | Thu 13 Oct 2011 |
| D19a | Applications of Quantum Mechanics: Example Sheet I | D19a.pdf (45.7KB) | D19a.ps (139.2KB) | Wed 25 Jan 2012 |
| D19b | Applications of Quantum Mechanics: Example Sheet II | D19b.pdf (51.5KB) | D19b.ps (152.7KB) | Thu 9 Feb 2012 |
| D19c | Applications of Quantum Mechanics: Example Sheet III | D19c.pdf (56.0KB) | D19c.ps (171.9KB) | Tue 22 Feb 2011 |
| D19d | Applications of Quantum Mechanics: Example Sheet IV | D19d.pdf (64.0KB) | D19d.ps (179.1KB) | Tue 8 Mar 2011 |
| D20a | Statistical Physics: Example Sheet I | D20a.pdf (59.8KB) | D20a.ps (150.5KB) | Wed 11 Jan 2012 |
| D20b | Statistical Physics: Example Sheet II | D20b.pdf (50.6KB) | D20b.ps (129.8KB) | Tue 7 Feb 2012 |
| D20c | Statistical Physics: Example Sheet III | D20c.pdf (51.0KB) | D20c.ps (132.1KB) | Wed 11 Jan 2012 |
| D20d | Statistical Physics: Example Sheet IV | D20d.pdf (99.8KB) | D20d.ps (619.9KB) | Wed 11 Jan 2012 |
| D21L | Electrodynamics: Lecture Notes | D21L.pdf (242.8KB) | D21L.ps (402.7KB) | Mon 15 Nov 2004 |
| D21a | IIB Electrodynamics: Example Sheet 1 | D21a.pdf (64.1KB) | D21a.ps (160.9KB) | Mon 24 Oct 2011 |
| D21b | IIB Electrodynamics: Example Sheet 2 | D21b.pdf (63.2KB) | D21b.ps (167.7KB) | Sat 12 Nov 2011 |
| D21c | Electrodynamics: Example Sheet 3 | D21c.pdf (59.3KB) | D21c.ps (157.4KB) | Mon 28 Nov 2011 |
| D22La | General Relativity: Schedule | D22La.pdf (39.8KB) | D22La.ps (104.8KB) | Mon 15 Nov 2004 |
| D22Lb | General Relativity: Lecture Notes | D22Lb.pdf (445.7KB) | D22Lb.ps (726.0KB) | Wed 1 Feb 2006 |
| D22a | General Relativity: Examples 1 | D22a.pdf (63.0KB) | D22a.ps (164.5KB) | Mon 19 Dec 2011 |
| D22b | General Relativity: Examples 2 | D22b.pdf (63.1KB) | D22b.ps (159.4KB) | Wed 18 Jan 2012 |
| D22c | General Relativity: Examples 3 | D22c.pdf (62.4KB) | D22c.ps (157.8KB) | Mon 19 Dec 2011 |
| D23La | Fluid Dynamics II: Contents | D23La.pdf (21.7KB) | D23La.ps (73.4KB) | Thu 14 Jan 2010 |
| D23Lb | Fluid Dynamics II: Books | D23Lb.pdf (19.4KB) | D23Lb.ps (64.8KB) | Thu 14 Jan 2010 |
| D23Lc | Fluid Dynamics II: Revision of Fluids IB | D23Lc.pdf (35.9KB) | D23Lc.ps (109.7KB) | Thu 14 Jan 2010 |
| D23Ld | Fluid Dynamics II: Lecture Notes | D23Ld.pdf (366.0KB) | D23Ld.ps (553.4KB) | Fri 5 Dec 2008 |
| D23a | Fluid Dynamics II: Example Sheet 1 | D23a.pdf (43.8KB) | D23a.ps (119.0KB) | Wed 12 Oct 2011 |
| D23b | Fluid Dynamics II: Example Sheet 2 | D23b.pdf (40.0KB) | D23b.ps (116.9KB) | Mon 7 Nov 2011 |
| D23c | Fluid Dynamics II: Example Sheet 3 | D23c.pdf (39.2KB) | D23c.ps (114.9KB) | Fri 25 Nov 2011 |
| D23d | Fluid Dynamics II: Example Sheet 4 | D23d.pdf (37.6KB) | D23d.ps (102.4KB) | Wed 16 Nov 2011 |
| D24a | Waves: Example Sheet 1 | D24a.pdf (65.6KB) | D24a.ps (172.1KB) | Mon 30 Jan 2012 |
| D24b | Waves: Example Sheet 2 | D24b.pdf (66.5KB) | D24b.ps (186.9KB) | Wed 1 Feb 2012 |
| D24c | Waves: Example Sheet 3 | D24c.pdf (59.3KB) | D24c.ps (160.6KB) | Tue 1 Mar 2011 |
| D24d | Waves: Example Sheet 4 | D24d.pdf (61.7KB) | D24d.ps (171.0KB) | Thu 14 Apr 2011 |
| D25a | Numerical Analysis: Exercise Sheet 1 | D25a.pdf (58.9KB) | D25a.ps (109.8KB) | Tue 3 Nov 2009 |
| D25b | Numerical Analysis: Exercise Sheet 2 | D25b.pdf (56.4KB) | D25b.ps (104.3KB) | Tue 3 Nov 2009 |
| D25c | Numerical Analysis: Exercise Sheet 3 | D25c.pdf (64.2KB) | D25c.ps (164.6KB) | Mon 15 Nov 2004 |
| D25d | Numerical Analysis: Exercise Sheet 4 | D25d.pdf (68.0KB) | D25d.ps (167.2KB) | Mon 15 Nov 2004 |
| N21a | NST IB Mathematical Methods I: Example Sheet 0 | N21a.pdf (39.8KB) | N21a.ps (127.6KB) | Thu 6 Oct 2011 |
| N21b | NST IB Mathematical Methods I: Example Sheet 1 | N21b.pdf (62.9KB) | N21b.ps (169.5KB) | Thu 6 Oct 2011 |
| N21c | NST IB Mathematical Methods I: Example Sheet 2 | N21c.pdf (52.3KB) | N21c.ps (137.4KB) | Tue 18 Oct 2011 |
| N21d | NST IB Mathematical Methods I: Example Sheet 3 | N21d.pdf (43.9KB) | N21d.ps (133.6KB) | Fri 4 Nov 2011 |
| N21e | NST IB Mathematical Methods I: Example Sheet 4 | N21e.pdf (41.1KB) | N21e.ps (121.6KB) | Wed 16 Nov 2011 |
| N22a | NST IB Mathematical Methods II: Example Sheet 1 | N22a.pdf (64.2KB) | N22a.ps (156.2KB) | Thu 17 Jan 2008 |
| N22b | NST IB Mathematical Methods II: Example Sheet 2 | N22b.pdf (63.9KB) | N22b.ps (146.8KB) | Wed 16 Jan 2008 |
| N22c | NST IB Mathematical Methods II: Example Sheet 3 | N22c.pdf (55.7KB) | N22c.ps (133.1KB) | Wed 16 Jan 2008 |
| N22d | NST IB Mathematical Methods II: Example Sheet 4 | N22d.pdf (63.0KB) | N22d.ps (156.0KB) | Wed 16 Jan 2008 |
| N23L | NST IB Mathematical Methods III: notes | N23L.pdf (625.6KB) | N23L.ps (1.8MB) | Mon 3 May 2010 |
| N23a | NST IB Mathematical Methods III: Example Sheet 1 | N23a.pdf (43.0KB) | N23a.ps (164.4KB) | Mon 3 May 2010 |
| N23b | NST IB Mathematical Methods III: Example Sheet 2 | N23b.pdf (46.6KB) | N23b.ps (129.4KB) | Mon 3 May 2010 |