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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 (246.3KB) | Wed 2 Oct 2019 |
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 (50.8KB) | A1a.ps (279.9KB) | Tue 12 Oct 2021 |
A1b | Vectors and Matrices: Example Sheet 2 | A1b.pdf (57.9KB) | A1b.ps (339.4KB) | Tue 26 Oct 2021 |
A1c | Vectors and Matrices: Example Sheet 3 | A1c.pdf (54.2KB) | A1c.ps (312.4KB) | Fri 12 Nov 2021 |
A1d | Vectors and Matrices: Example Sheet 4 | A1d.pdf (53.2KB) | A1d.ps (287.0KB) | Fri 26 Nov 2021 |
A1e | Vectors and Matrices: Study Sheet 1 | A1e.pdf (45.0KB) | A1e.ps (302.5KB) | Thu 5 Oct 2017 |
A1f | Vectors and Matrices: Study Sheet 2 | A1f.pdf (50.9KB) | A1f.ps (306.7KB) | Wed 19 Oct 2016 |
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 22 Oct 2021 |
A3b | Differential Equations: Examples Sheet 2 | A3b.pdf (45.2KB) | A3b.ps (222.0KB) | Fri 22 Oct 2021 |
A3c | Differential Equations: Examples Sheet 3 | A3c.pdf (58.6KB) | A3c.ps (250.6KB) | Fri 9 Oct 2020 |
A3d | Differential Equations: Examples Sheet 4 | A3d.pdf (50.6KB) | A3d.ps (231.4KB) | Fri 9 Oct 2020 |
A5a | Vector Calculus: Examples Sheet 1 | A5a.pdf (41.5KB) | A5a.ps (192.3KB) | Thu 28 Oct 2021 |
A5b | Vector Calculus: Examples Sheet 2 | A5b.pdf (47.2KB) | A5b.ps (243.7KB) | Tue 25 Jan 2022 |
A5c | Vector Calculus: Examples Sheet 3 | A5c.pdf (56.2KB) | A5c.ps (242.3KB) | Thu 28 Oct 2021 |
A5d | Vector Calculus: Examples Sheet 4 | A5d.pdf (52.7KB) | A5d.ps (265.2KB) | Wed 17 Nov 2021 |
A7a | Dynamics and Relativity: Example Sheet 1 | A7a.pdf (67.3KB) | A7a.ps (369.9KB) | Fri 11 Feb 2022 |
A7b | Dynamics and Relativity: Example Sheet 2 | A7b.pdf (66.0KB) | A7b.ps (344.4KB) | Tue 15 Feb 2022 |
A7c | Dynamics and Relativity: Example Sheet 3 | A7c.pdf (62.5KB) | A7c.ps (317.5KB) | Mon 9 May 2022 |
A7d | Dynamics and Relativity: Example Sheet 4 | A7d.pdf (58.8KB) | A7d.ps (323.1KB) | Fri 11 Feb 2022 |
B10a | Electromagnetism: Example Sheet 1 | B10a.pdf (51.0KB) | B10a.ps (281.9KB) | Wed 12 Jan 2022 |
B10b | Electromagnetism: Example Sheet 2 | B10b.pdf (45.2KB) | B10b.ps (250.5KB) | Wed 12 Jan 2022 |
B10c | Electromagnetism: Example Sheet 3 | B10c.pdf (50.9KB) | B10c.ps (260.7KB) | Wed 12 Jan 2022 |
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) | Tue 1 Feb 2022 |
B12b | Fluid Dynamics: Example Sheet 2 | B12b.pdf (50.9KB) | B12b.ps (245.6KB) | Fri 4 Feb 2022 |
B12c | Fluid Dynamics: Example Sheet 3 | B12c.pdf (51.8KB) | B12c.ps (259.9KB) | Fri 4 Feb 2022 |
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 | Wed 2 Feb 2022 |
B13b | Numerical Analysis: Example Sheet 2 | B13b.pdf (139.3KB) | B13b.ps (300.0KB) | Mon 8 Mar 2021 |
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 (61.6KB) | B6a.ps (333.5KB) | Mon 23 May 2022 |
B6b | Variational Principles | B6b.pdf (71.1KB) | B6b.ps (397.8KB) | Mon 23 May 2022 |
B7a | Complex Methods: Example Sheet 1 | B7a.pdf (58.6KB) | B7a.ps (311.4KB) | Wed 19 Jan 2022 |
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 19 Jan 2022 |
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 (60.2KB) | B8a.ps (279.3KB) | Wed 6 Oct 2021 |
B8b | Methods: Examples II | B8b.pdf (67.9KB) | B8b.ps (335.2KB) | Tue 26 Oct 2021 |
B8c | Methods: Examples III | B8c.pdf (58.5KB) | B8c.ps (287.9KB) | Mon 15 Nov 2021 |
B8d | Methods: Examples IV | B8d.pdf (60.6KB) | B8d.ps (298.3KB) | Tue 23 Nov 2021 |
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 (56.0KB) | B9a.ps (268.6KB) | Wed 6 Oct 2021 |
B9b | Quantum Mechanics: Example Sheet 2 | B9b.pdf (55.1KB) | B9b.ps (253.1KB) | Wed 6 Oct 2021 |
B9c | Quantum Mechanics: Example Sheet 3 | B9c.pdf (57.9KB) | B9c.ps (258.2KB) | Wed 6 Oct 2021 |
B9s | Quantum Mechanics: Supplementary Notes | B9s.pdf (46.1KB) | B9s.ps (212.4KB) | Wed 6 Oct 2021 |
C10a | Cosmology | C10a.pdf (50.8KB) | C10a.ps (266.6KB) | Mon 18 Oct 2021 |
C10b | Cosmology | C10b.pdf (53.2KB) | C10b.ps (322.7KB) | Fri 15 Oct 2021 |
C10c | Cosmology | C10c.pdf (99.0KB) | C10c.ps (1.0MB) | Fri 15 Oct 2021 |
C10d | Cosmology | C10d.pdf (48.5KB) | C10d.ps (300.5KB) | Fri 15 Oct 2021 |
C6a | Mathematical Biology: Example Sheet 1 | C6a.pdf (51.0KB) | C6a.ps (244.3KB) | Wed 19 Jan 2022 |
C6b | Mathematical Biology Example Sheet 2 | C6b.pdf (43.4KB) | C6b.ps (228.3KB) | Wed 19 Jan 2022 |
C6c | Mathematical Biology Example Sheet 3 | C6c.pdf (48.3KB) | C6c.ps (244.6KB) | Wed 19 Jan 2022 |
C6d | Mathematical Biology Example Sheet 4 | C6d.pdf (43.7KB) | C6d.ps (233.1KB) | Wed 19 Jan 2022 |
C8a | Further Complex Methods: Sheet 1 | C8a.pdf (51.5KB) | C8a.ps (270.1KB) | Mon 24 Jan 2022 |
C8b | Further Complex Methods: Sheet 2 | C8b.pdf (56.4KB) | C8b.ps (299.5KB) | Sat 19 Feb 2022 |
C8c | Further Complex Methods: Sheet 3 | C8c.pdf (56.5KB) | C8c.ps (302.1KB) | Fri 11 Mar 2022 |
C8d | Further Complex Methods: Sheet 4 | C8d.pdf (45.6KB) | C8d.ps (234.1KB) | Fri 11 Mar 2022 |
C9a | Classical Dynamics: Example Sheet 1 | C9a.pdf (55.1KB) | C9a.ps (248.4KB) | Tue 5 Oct 2021 |
C9b | Classical Dynamics: Example Sheet 2 | C9b.pdf (48.6KB) | C9b.ps (227.7KB) | Tue 5 Oct 2021 |
C9c | Classical Dynamics: Example Sheet 3 | C9c.pdf (56.8KB) | C9c.ps (270.4KB) | Tue 5 Oct 2021 |
C9d | Classical Dynamics: Example Sheet 4 | C9d.pdf (67.0KB) | C9d.ps (316.7KB) | Tue 5 Oct 2021 |
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 (67.3KB) | D16a.ps (313.8KB) | Wed 9 Feb 2022 |
D16b | Asymptotic Methods: Example Sheet 2 | D16b.pdf (63.7KB) | D16b.ps (311.9KB) | Wed 9 Feb 2022 |
D16c | Asymptotic Methods: Example Sheet 3 | D16c.pdf (84.4KB) | D16c.ps (370.9KB) | Wed 9 Feb 2022 |
D17a | Integrable Systems: Example Sheet 1 | D17a.pdf (237.5KB) | D17a.ps (18.4MB) | Fri 21 Jan 2022 |
D17b | Integrable Systems: Example Sheet 2 | D17b.pdf (232.1KB) | D17b.ps (17.5MB) | Fri 21 Jan 2022 |
D17c | Integrable Systems: Example Sheet 3 | D17c.pdf (201.8KB) | D17c.ps (11.3MB) | Fri 21 Jan 2022 |
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 (150.8KB) | N/A | Mon 4 Oct 2021 |
D18b | Principles of Quantum Mechanics: Example Sheet 2 | D18b.pdf (158.5KB) | N/A | Mon 4 Oct 2021 |
D18c | Principles of Quantum Mechanics: Example Sheet 3 | D18c.pdf (122.9KB) | N/A | Mon 4 Oct 2021 |
D18d | Principles of Quantum Mechanics: Example Sheet 4 | D18d.pdf (158.1KB) | N/A | Mon 4 Oct 2021 |
D19a | Applications of Quantum Mechanics: Example Sheet I | D19a.pdf (52.6KB) | D19a.ps (262.3KB) | Fri 21 Jan 2022 |
D19b | Applications of Quantum Mechanics: Example Sheet II | D19b.pdf (56.9KB) | D19b.ps (268.6KB) | Mon 14 Feb 2022 |
D19c | Applications of Quantum Mechanics: Example Sheet III | D19c.pdf (61.2KB) | D19c.ps (305.2KB) | Tue 1 Mar 2022 |
D19d | Applications of Quantum Mechanics: Example Sheet IV | D19d.pdf (55.0KB) | D19d.ps (292.3KB) | Thu 10 Mar 2022 |
D20a | Statistical Physics: Example Sheet I | D20a.pdf (69.0KB) | D20a.ps (301.0KB) | Sat 19 Feb 2022 |
D20b | Statistical Physics: Example Sheet II | D20b.pdf (56.7KB) | D20b.ps (276.8KB) | Wed 2 Feb 2022 |
D20c | Statistical Physics: Example Sheet III | D20c.pdf (57.7KB) | D20c.ps (275.7KB) | Sat 19 Feb 2022 |
D20d | Statistical Physics: Example Sheet IV | D20d.pdf (107.0KB) | D20d.ps (754.0KB) | Fri 25 Feb 2022 |
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 (51.3KB) | D21a.ps (241.2KB) | Wed 9 Oct 2019 |
D21b | IIB Electrodynamics: Example Sheet 2 | D21b.pdf (59.4KB) | D21b.ps (283.2KB) | Mon 12 Nov 2018 |
D21c | Electrodynamics: Example Sheet 3 | D21c.pdf (56.4KB) | 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 (48.0KB) | D23Lc.ps (439.6KB) | Thu 7 Oct 2021 |
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 (44.0KB) | D23S.ps (250.8KB) | Sun 24 Oct 2021 |
D23a | Fluid Dynamics II: Example Sheet 1 | D23a.pdf (49.0KB) | D23a.ps (247.7KB) | Thu 7 Oct 2021 |
D23b | Fluid Dynamics II: Example Sheet 2 | D23b.pdf (41.7KB) | D23b.ps (207.4KB) | Tue 26 Oct 2021 |
D23c | Fluid Dynamics II: Example Sheet 3 | D23c.pdf (46.9KB) | D23c.ps (243.5KB) | Tue 26 Oct 2021 |
D23d | Fluid Dynamics II: Example Sheet 4 | D23d.pdf (46.3KB) | D23d.ps (218.7KB) | Tue 26 Oct 2021 |
D24a | Waves: Example Sheet 1 | D24a.pdf (66.6KB) | D24a.ps (301.6KB) | Thu 20 Jan 2022 |
D24b | Waves: Example Sheet 2 | D24b.pdf (65.7KB) | D24b.ps (319.2KB) | Thu 20 Jan 2022 |
D24c | Waves: Example Sheet 3 | D24c.pdf (61.0KB) | D24c.ps (289.5KB) | Thu 20 Jan 2022 |
D24d | Waves: Example Sheet 4 | D24d.pdf (64.0KB) | D24d.ps (301.4KB) | Thu 20 Jan 2022 |
D25a | Numerical Analysis: Exercise Sheet 1 | D25a.pdf (75.1KB) | D25a.ps (357.6KB) | Wed 20 Oct 2021 |
D25b | Numerical Analysis: Exercise Sheet 2 | D25b.pdf (68.0KB) | D25b.ps (315.7KB) | Wed 20 Oct 2021 |
D25c | Numerical Analysis: Exercise Sheet 3 | D25c.pdf (61.7KB) | D25c.ps (324.9KB) | Mon 8 Nov 2021 |
D25d | Numerical Analysis: Exercise Sheet 4 | D25d.pdf (61.4KB) | D25d.ps (310.8KB) | Mon 22 Nov 2021 |
D26a | Dynamical Systems: Example Sheet 1 | D26a.pdf (41.1KB) | D26a.ps (243.2KB) | Mon 18 Oct 2021 |
D26b | Dynamical Systems: Example Sheet 2 | D26b.pdf (46.0KB) | D26b.ps (262.7KB) | Mon 18 Oct 2021 |
D26c | Dynamical Systems: Example Sheet 3 | D26c.pdf (37.3KB) | D26c.ps (195.5KB) | Mon 18 Oct 2021 |
D26d | Dynamical Systems: Example Sheet 4 | D26d.pdf (44.9KB) | D26d.ps (261.7KB) | Mon 18 Oct 2021 |
D27L | Quantum Information and Computation: Lecture Notes 2021 | D27L.pdf (2.6MB) | N/A | Wed 22 Dec 2021 |
D27a | Quantum Information and Computation: Example Sheet 1 | D27a.pdf (144.4KB) | N/A | Wed 3 Feb 2021 |
D27b | Quantum Information and Computation: Example Sheet 2 | D27b.pdf (151.0KB) | N/A | Wed 3 Feb 2021 |
D27c | Quantum Information and Computation: Example Sheet 3 | D27c.pdf (156.0KB) | N/A | Wed 3 Feb 2021 |
D27d | Quantum Information and Computation: Example Sheet 4 | D27d.pdf (196.5KB) | N/A | Wed 3 Feb 2021 |
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 |