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Department of Applied Mathematics and Theoretical Physics |
Here are the details on using the DAMTP examples sheet system (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.
Example Sheets and course materials for Part IA and IB of the Natural Sciences Tripos have migrated to Moodle, where there is general information about the course. If you are not already enrolled log into Moodle with your Raven password, click on Site home > Schools, Faculties and Departments > Natural Sciences Tripos Committeee > Part IA or Part IB > NST Part IA: Mathematics or NST Part IB: Mathematics then select the Self enrolment icon.
The Part III example sheets are on a separate page.
Code | Description | PostScript | Last Updated | |
A0 | Introductory Sheet | A0.pdf (51.1KB) | A0.ps (257.8KB) | Sun 1 Oct 2023 |
A11 | Concepts in Theoretical Physics Course Schedule | A11.pdf (79.8KB) | N/A | Mon 11 Mar 2019 |
A11La | Concepts in Theoretical Physics: Lecture Notes 1 | A11La.pdf (1.1MB) | N/A | Wed 24 Apr 2019 |
A11Lb | Concepts in Theoretical Physics: Lecture Notes 2 | A11Lb.pdf (1.7MB) | N/A | Mon 29 Apr 2019 |
A11Lc | Concepts in Theoretical Physics: Lecture Notes 3 | A11Lc.pdf (1.6MB) | N/A | Wed 1 May 2019 |
A11Ld | Concepts in Theoretical Physics: Lecture Notes 4 | A11Ld.pdf (1.2MB) | N/A | Mon 6 May 2019 |
A11Le | Concepts in Theoretical Physics: Lecture Notes 5 | A11Le.pdf (1.4MB) | N/A | Wed 8 May 2019 |
A11Lf | Concepts in Theoretical Physics: Lecture Notes 6 | A11Lf.pdf (2.3MB) | N/A | Wed 15 May 2019 |
A11Lg | Concepts in Theoretical Physics: Lecture Notes 7 | A11Lg.pdf (2.7MB) | N/A | Wed 15 May 2019 |
A11Lh | Concepts in Theoretical Physics: Lecture Notes 8 | A11Lh.pdf (1.7MB) | N/A | Wed 22 May 2019 |
A1a | Vectors and Matrices: Example Sheet 1 | A1a.pdf (50.7KB) | A1a.ps (279.8KB) | Tue 10 Oct 2023 |
A1b | Vectors and Matrices: Example Sheet 2 | A1b.pdf (57.1KB) | A1b.ps (304.6KB) | Wed 1 Nov 2023 |
A1c | Vectors and Matrices: Example Sheet 3 | A1c.pdf (53.9KB) | A1c.ps (311.8KB) | Wed 1 Nov 2023 |
A1d | Vectors and Matrices: Example Sheet 4 | A1d.pdf (53.0KB) | A1d.ps (286.6KB) | Wed 1 Nov 2023 |
A1e | Vectors and Matrices: Study Sheet 1 | A1e.pdf (45.3KB) | A1e.ps (311.3KB) | Tue 10 Oct 2023 |
A1f | Vectors and Matrices: Study Sheet 2 | A1f.pdf (50.8KB) | A1f.ps (314.6KB) | Fri 21 Oct 2022 |
A3La | Differential Equations | A3La.pdf (37.5KB) | A3La.ps (95.2KB) | Tue 21 Oct 2014 |
A3a | Differential Equations: Examples Sheet 1 | A3a.pdf (54.6KB) | A3a.ps (256.3KB) | Fri 6 Oct 2023 |
A3b | Differential Equations: Examples Sheet 2 | A3b.pdf (45.2KB) | A3b.ps (222.0KB) | Fri 6 Oct 2023 |
A3c | Differential Equations: Examples Sheet 3 | A3c.pdf (61.2KB) | A3c.ps (279.3KB) | Fri 6 Oct 2023 |
A3d | Differential Equations: Examples Sheet 4 | A3d.pdf (53.1KB) | A3d.ps (273.0KB) | Fri 6 Oct 2023 |
A5a | Vector Calculus: Examples Sheet 1 | A5a.pdf (40.7KB) | A5a.ps (190.6KB) | Fri 13 Jan 2023 |
A5b | Vector Calculus: Examples Sheet 2 | A5b.pdf (48.2KB) | A5b.ps (245.0KB) | Fri 13 Jan 2023 |
A5c | Vector Calculus: Examples Sheet 3 | A5c.pdf (56.5KB) | A5c.ps (242.8KB) | Fri 17 Mar 2023 |
A5d | Vector Calculus: Examples Sheet 4 | A5d.pdf (52.5KB) | A5d.ps (264.5KB) | Fri 17 Mar 2023 |
A7a | Dynamics and Relativity: Example Sheet 1 | A7a.pdf (69.4KB) | A7a.ps (373.6KB) | Mon 6 Feb 2023 |
A7b | Dynamics and Relativity: Example Sheet 2 | A7b.pdf (67.6KB) | A7b.ps (347.4KB) | Fri 13 Jan 2023 |
A7c | Dynamics and Relativity: Example Sheet 3 | A7c.pdf (64.0KB) | A7c.ps (332.4KB) | Fri 13 Jan 2023 |
A7d | Dynamics and Relativity: Example Sheet 4 | A7d.pdf (59.7KB) | A7d.ps (324.7KB) | Fri 13 Jan 2023 |
B10a | Electromagnetism: Example Sheet 1 | B10a.pdf (52.6KB) | B10a.ps (296.6KB) | Wed 18 Jan 2023 |
B10b | Electromagnetism: Example Sheet 2 | B10b.pdf (46.2KB) | B10b.ps (262.9KB) | Thu 2 Feb 2023 |
B10c | Electromagnetism: Example Sheet 3 | B10c.pdf (54.0KB) | B10c.ps (284.5KB) | Thu 16 Feb 2023 |
B10vc | Electromagnetism: Vector Calculus Revision | B10vc.pdf (66.7KB) | B10vc.ps (161.6KB) | Mon 15 Nov 2004 |
B12a | Fluid Dynamics: Example Sheet 1 | B12a.pdf (49.7KB) | B12a.ps (255.7KB) | Fri 22 Sep 2023 |
B12b | Fluid Dynamics: Example Sheet 2 | B12b.pdf (50.9KB) | B12b.ps (245.6KB) | Thu 2 Feb 2023 |
B12c | Fluid Dynamics: Example Sheet 3 | B12c.pdf (51.8KB) | B12c.ps (259.9KB) | Thu 2 Feb 2023 |
B12d | Fluid Dynamics: Suggested Tripos Questions | B12d.pdf (30.7KB) | B12d.ps (80.5KB) | Fri 25 Apr 2014 |
B12oa | Fluid Dynamics: Example Sheet 1 (Old Syllabus) | B12oa.pdf (39.5KB) | B12oa.ps (111.1KB) | Wed 14 Mar 2012 |
B12ob | Fluid Dynamics: Example Sheet 2 (Old Syllabus) | B12ob.pdf (46.5KB) | B12ob.ps (119.0KB) | Wed 14 Mar 2012 |
B12oc | Fluid Dynamics: Example Sheet 3 (Old Syllabus) | B12oc.pdf (44.1KB) | B12oc.ps (123.7KB) | Wed 14 Mar 2012 |
B13a | Numerical Analysis: Example Sheet 1 | B13a.pdf (142.5KB) | N/A | Tue 7 Feb 2023 |
B13b | Numerical Analysis: Example Sheet 2 | B13b.pdf (139.3KB) | N/A | Tue 28 Feb 2023 |
B13c | Numerical Analysis: Example Sheet 3 | B13c.pdf (123.5KB) | B13c.ps (276.1KB) | Wed 15 Jan 2020 |
B6La | Variational Principles lecture notes | B6La.pdf (442.7KB) | N/A | Wed 19 Sep 2018 |
B6a | Variational Principles | B6a.pdf (61.8KB) | B6a.ps (334.1KB) | Tue 25 Apr 2023 |
B6b | Variational Principles | B6b.pdf (71.4KB) | B6b.ps (398.4KB) | Tue 25 Apr 2023 |
B7a | Complex Methods: Example Sheet 1 | B7a.pdf (58.6KB) | B7a.ps (311.4KB) | Wed 18 Jan 2023 |
B7b | Complex Methods: Example Sheet 2 | B7b.pdf (59.1KB) | B7b.ps (326.4KB) | Wed 19 Jan 2022 |
B7c | Complex Methods: Example Sheet 3 | B7c.pdf (58.5KB) | B7c.ps (325.4KB) | Wed 18 Jan 2023 |
B8La | Methods: Lecture Notes I, 2013 | B8La.pdf (314.5KB) | N/A | Fri 4 Oct 2013 |
B8Lb | Methods: Lecture Notes II, 2013 | B8Lb.pdf (485.7KB) | N/A | Fri 4 Oct 2013 |
B8Lc | Methods: Lecture Notes III, 2013 | B8Lc.pdf (358.0KB) | N/A | Fri 4 Oct 2013 |
B8Ld | Methods: Lecture Notes IV, 2013 | B8Ld.pdf (288.8KB) | N/A | Fri 4 Oct 2013 |
B8a | Methods: Examples I | B8a.pdf (404.2KB) | B8a.ps (35.9MB) | Thu 19 Oct 2023 |
B8b | Methods: Examples II | B8b.pdf (352.2KB) | B8b.ps (31.6MB) | Sun 22 Oct 2023 |
B8c | Methods: Examples III | B8c.pdf (322.5KB) | B8c.ps (29.8MB) | Tue 14 Nov 2023 |
B8d | Methods: Examples IV | B8d.pdf (248.0KB) | N/A | Sun 26 Nov 2023 |
B9Lb | Prof Dorey Lecture Notes on QM | B9Lb.pdf (670.7KB) | B9Lb.ps (5.2MB) | Tue 30 Sep 2008 |
B9a | Quantum Mechanics: Example Sheet 1 | B9a.pdf (60.8KB) | B9a.ps (306.0KB) | Tue 31 Oct 2023 |
B9b | Quantum Mechanics: Example Sheet 2 | B9b.pdf (54.7KB) | B9b.ps (262.7KB) | Tue 31 Oct 2023 |
B9c | Quantum Mechanics: Example Sheet 3 | B9c.pdf (58.8KB) | B9c.ps (271.8KB) | Tue 31 Oct 2023 |
B9s | Quantum Mechanics: Supplementary Notes | B9s.pdf (46.1KB) | B9s.ps (212.4KB) | Wed 6 Oct 2021 |
C10a | Cosmology | C10a.pdf (60.8KB) | C10a.ps (319.1KB) | Wed 11 Oct 2023 |
C10b | Cosmology | C10b.pdf (60.9KB) | C10b.ps (317.0KB) | Mon 23 Oct 2023 |
C10c | Cosmology | C10c.pdf (76.0KB) | C10c.ps (497.3KB) | Wed 8 Nov 2023 |
C10d | Cosmology | C10d.pdf (57.1KB) | C10d.ps (321.6KB) | Mon 27 Nov 2023 |
C6a | Mathematical Biology: Example Sheet 1 | C6a.pdf (51.0KB) | C6a.ps (244.3KB) | Sun 15 Jan 2023 |
C6b | Mathematical Biology Example Sheet 2 | C6b.pdf (43.4KB) | C6b.ps (228.3KB) | Sun 15 Jan 2023 |
C6c | Mathematical Biology Example Sheet 3 | C6c.pdf (48.3KB) | C6c.ps (244.6KB) | Sun 15 Jan 2023 |
C6d | Mathematical Biology Example Sheet 4 | C6d.pdf (43.8KB) | C6d.ps (233.1KB) | Sun 15 Jan 2023 |
C8a | Further Complex Methods: Sheet 1 | C8a.pdf (51.4KB) | C8a.ps (269.7KB) | Thu 26 Jan 2023 |
C8b | Further Complex Methods: Sheet 2 | C8b.pdf (55.9KB) | C8b.ps (298.5KB) | Mon 13 Feb 2023 |
C8c | Further Complex Methods: Sheet 3 | C8c.pdf (56.4KB) | C8c.ps (302.0KB) | Tue 28 Feb 2023 |
C8d | Further Complex Methods: Sheet 4 | C8d.pdf (45.6KB) | C8d.ps (234.1KB) | Fri 10 Mar 2023 |
C9a | Classical Dynamics 1 | C9a.pdf (117.3KB) | N/A | Mon 9 Oct 2023 |
C9b | Classical Dynamics 2 | C9b.pdf (109.0KB) | N/A | Mon 23 Oct 2023 |
C9c | Classical Dynamics 3 | C9c.pdf (128.4KB) | N/A | Mon 23 Oct 2023 |
C9d | Classical Dynamics 4 | C9d.pdf (151.8KB) | N/A | Mon 23 Oct 2023 |
D15a | Partial Differential Equations | D15a.pdf (167.6KB) | D15a.ps (374.7KB) | Tue 14 Oct 2014 |
D15b | Partial Differential Equations Sheet II | D15b.pdf (224.6KB) | D15b.ps (377.9KB) | Thu 16 Oct 2014 |
D15c | Partial Differential Equations Sheet III | D15c.pdf (160.9KB) | D15c.ps (297.5KB) | Wed 26 Nov 2014 |
D15d | Partial Differential Equations Sheet IV | D15d.pdf (215.3KB) | D15d.ps (382.2KB) | Fri 28 Nov 2014 |
D15e | Additional questions for Partial Differential Equations | D15e.pdf (717.2KB) | D15e.ps (1.1MB) | Fri 9 May 2014 |
D16a | Asymptotic Methods: Example Sheet 1 | D16a.pdf (67.9KB) | D16a.ps (315.2KB) | Fri 6 Oct 2023 |
D16b | Asymptotic Methods: Example Sheet 2 | D16b.pdf (63.8KB) | D16b.ps (312.1KB) | Fri 6 Oct 2023 |
D16c | Asymptotic Methods: Example Sheet 3 | D16c.pdf (83.9KB) | D16c.ps (371.8KB) | Fri 6 Oct 2023 |
D17a | Integrable Systems: Example Sheet 1 | D17a.pdf (83.0KB) | D17a.ps (551.8KB) | Wed 18 Jan 2023 |
D17b | Integrable Systems: Example Sheet 2 | D17b.pdf (77.3KB) | D17b.ps (440.3KB) | Wed 18 Jan 2023 |
D17c | Integrable Systems: Example Sheet 3 | D17c.pdf (66.3KB) | D17c.ps (441.8KB) | Wed 18 Jan 2023 |
D18S | Principles of Quantum Mechanics - Supplementary Notes: interesting material beyond the syllabus | D18S.pdf (133.2KB) | D18S.ps (426.7KB) | Mon 5 Oct 2015 |
D18a | Principles of Quantum Mechanics: Example Sheet 1 | D18a.pdf (151.0KB) | N/A | Wed 4 Oct 2023 |
D18b | Principles of Quantum Mechanics: Example Sheet 2 | D18b.pdf (158.8KB) | N/A | Wed 4 Oct 2023 |
D18c | Principles of Quantum Mechanics: Example Sheet 3 | D18c.pdf (123.0KB) | N/A | Wed 4 Oct 2023 |
D18d | Principles of Quantum Mechanics: Example Sheet 4 | D18d.pdf (158.0KB) | N/A | Wed 4 Oct 2023 |
D19a | Applications of Quantum Mechanics: Example Sheet I | D19a.pdf (52.6KB) | D19a.ps (262.3KB) | Fri 20 Jan 2023 |
D19b | Applications of Quantum Mechanics: Example Sheet II | D19b.pdf (56.9KB) | D19b.ps (268.6KB) | Fri 10 Feb 2023 |
D19c | Applications of Quantum Mechanics: Example Sheet III | D19c.pdf (61.2KB) | D19c.ps (305.2KB) | Tue 28 Feb 2023 |
D19d | Applications of Quantum Mechanics: Example Sheet IV | D19d.pdf (55.0KB) | D19d.ps (292.3KB) | Fri 10 Mar 2023 |
D20a | Statistical Physics: Example Sheet I | D20a.pdf (67.2KB) | D20a.ps (297.5KB) | Mon 16 Jan 2023 |
D20b | Statistical Physics: Example Sheet II | D20b.pdf (56.9KB) | D20b.ps (276.8KB) | Fri 3 Feb 2023 |
D20c | Statistical Physics: Example Sheet III | D20c.pdf (57.7KB) | D20c.ps (275.7KB) | Fri 17 Feb 2023 |
D20d | Statistical Physics: Example Sheet IV | D20d.pdf (109.2KB) | D20d.ps (758.5KB) | Mon 27 Feb 2023 |
D21L | Electrodynamics: Lecture Notes (1997) | D21L.pdf (242.8KB) | D21L.ps (402.7KB) | Mon 15 Nov 2004 |
D21Lb | Electrodynamics: Lecture Notes (2016) | D21Lb.pdf (660.2KB) | N/A | Mon 9 Oct 2017 |
D21a | IIB Electrodynamics: Example Sheet 1 | D21a.pdf (183.4KB) | D21a.ps (241.2KB) | Wed 9 Oct 2019 |
D21b | IIB Electrodynamics: Example Sheet 2 | D21b.pdf (221.7KB) | D21b.ps (283.2KB) | Mon 12 Nov 2018 |
D21c | Electrodynamics: Example Sheet 3 | D21c.pdf (193.4KB) | D21c.ps (274.2KB) | Mon 18 Oct 2021 |
D22Lb | General Relativity: lecture notes (2004) | D22Lb.pdf (445.7KB) | D22Lb.ps (726.0KB) | Wed 1 Feb 2006 |
D22a | General Relativity: sheet 1 | D22a.pdf (61.3KB) | D22a.ps (329.1KB) | Fri 4 Feb 2022 |
D22b | General Relativity: sheet2 | D22b.pdf (62.1KB) | D22b.ps (319.4KB) | Fri 4 Feb 2022 |
D22c | General Relativity: sheet 3 | D22c.pdf (54.1KB) | D22c.ps (278.6KB) | Fri 4 Feb 2022 |
D22d | General Relativity: sheet 4 | D22d.pdf (70.8KB) | D22d.ps (362.5KB) | Fri 4 Feb 2022 |
D23Lc | Fluid Dynamics II: Revision of Fluids IB | D23Lc.pdf (47.3KB) | D23Lc.ps (278.2KB) | Wed 27 Sep 2023 |
D23Ld | Fluid Dynamics II: Lecture Notes (2008) | D23Ld.pdf (366.0KB) | D23Ld.ps (553.4KB) | Fri 5 Dec 2008 |
D23Le | Fluid Dynamics II: Lecture Notes (2020) | D23Le.pdf (828.6KB) | N/A | Mon 5 Oct 2020 |
D23S | Fluid Dynamics II; Stokes flow past a sphere | D23S.pdf (36.1KB) | D23S.ps (234.4KB) | Wed 25 Oct 2023 |
D23a | Fluid Dynamics II: Example Sheet 1 | D23a.pdf (54.3KB) | D23a.ps (276.3KB) | Mon 23 Oct 2023 |
D23b | Fluid Dynamics II: Example Sheet 2 | D23b.pdf (47.5KB) | D23b.ps (237.9KB) | Wed 27 Sep 2023 |
D23c | Fluid Dynamics II: Example Sheet 3 | D23c.pdf (47.5KB) | D23c.ps (245.3KB) | Tue 26 Sep 2023 |
D23d | Fluid Dynamics II: Example Sheet 4 | D23d.pdf (47.3KB) | D23d.ps (221.0KB) | Thu 5 Oct 2023 |
D24a | Waves: Example Sheet 1 | D24a.pdf (66.6KB) | D24a.ps (301.6KB) | Tue 17 Jan 2023 |
D24b | Waves: Example Sheet 2 | D24b.pdf (65.7KB) | D24b.ps (319.3KB) | Tue 17 Jan 2023 |
D24c | Waves: Example Sheet 3 | D24c.pdf (61.0KB) | D24c.ps (289.5KB) | Tue 17 Jan 2023 |
D24d | Waves: Example Sheet 4 | D24d.pdf (64.0KB) | D24d.ps (301.4KB) | Tue 17 Jan 2023 |
D25a | Numerical Analysis: Exercise Sheet 1 | D25a.pdf (75.1KB) | D25a.ps (357.8KB) | Wed 4 Oct 2023 |
D25b | Numerical Analysis: Exercise Sheet 2 | D25b.pdf (68.1KB) | D25b.ps (315.8KB) | Wed 4 Oct 2023 |
D25c | Numerical Analysis: Exercise Sheet 3 | D25c.pdf (59.3KB) | D25c.ps (320.5KB) | Wed 4 Oct 2023 |
D25d | Numerical Analysis: Exercise Sheet 4 | D25d.pdf (61.4KB) | D25d.ps (310.9KB) | Wed 4 Oct 2023 |
D26a | Dynamical Systems: Example Sheet 1 | D26a.pdf (41.0KB) | D26a.ps (247.1KB) | Wed 11 Oct 2023 |
D26b | Dynamical Systems: Example Sheet 2 | D26b.pdf (45.8KB) | D26b.ps (266.2KB) | Wed 11 Oct 2023 |
D26c | Dynamical Systems: Example Sheet 3 | D26c.pdf (37.2KB) | D26c.ps (199.0KB) | Wed 11 Oct 2023 |
D26d | Dynamical Systems: Example Sheet 4 | D26d.pdf (44.8KB) | D26d.ps (265.2KB) | Wed 11 Oct 2023 |
D27L | Quantum Information and Computation: Lecture Notes 2021 | D27L.pdf (2.6MB) | N/A | Sun 19 Nov 2023 |
D27a | Quantum Information and Computation: Example Sheet 1 | D27a.pdf (143.7KB) | N/A | Fri 3 Feb 2023 |
D27b | Quantum Information and Computation: Example Sheet 2 | D27b.pdf (151.1KB) | N/A | Fri 3 Feb 2023 |
D27c | Quantum Information and Computation: Example Sheet 3 | D27c.pdf (157.0KB) | N/A | Fri 3 Feb 2023 |
D27d | Quantum Information and Computation: Example Sheet 4 | D27d.pdf (206.3KB) | N/A | Fri 3 Feb 2023 |
N21a | NST IB Mathematical Methods I: Example Sheet 0 | N21a.pdf (43.0KB) | N21a.ps (133.9KB) | Fri 5 Oct 2012 |
N21b | NST IB Mathematical Methods I: Example Sheet 1 | N21b.pdf (66.5KB) | N21b.ps (177.9KB) | Wed 31 Oct 2012 |
N21c | NST IB Mathematical Methods I: Example Sheet 2 | N21c.pdf (50.7KB) | N21c.ps (135.6KB) | Thu 18 Oct 2012 |
N21d | NST IB Mathematical Methods I: Example Sheet 3 | N21d.pdf (47.8KB) | N21d.ps (138.3KB) | Thu 1 Nov 2012 |
N21e | NST IB Mathematical Methods I: Example Sheet 4 | N21e.pdf (41.1KB) | N21e.ps (121.6KB) | Fri 16 Nov 2012 |
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 (651.1KB) | N23L.ps (2.1MB) | Tue 24 Nov 2020 |
N23a | NST IB Mathematical Methods III: Example Sheet 1 | N23a.pdf (43.6KB) | N23a.ps (161.9KB) | Tue 15 Apr 2014 |
N23b | NST IB Mathematical Methods III: Example Sheet 2 | N23b.pdf (44.9KB) | N23b.ps (120.5KB) | Tue 15 Apr 2014 |