First Year Mathematics

Keble Physics tutorial page

Course information

Lecture notes:

- Prof. Adrianne Slyz, Calculus [CP4, MT weeks 1-5]

- Prof. John Magorrian, Complex numbers + Vectors & matrices [CP3, MT weeks 1 + 2-7]

- Prof. Alexander Schekochihin, Ordinary differential equations [CP3, MT weeks 6-8]

- Prof. Rob Fender, Multiple Integrals and Vector Calculus [CP4, HT weeks 1-2 + 4-7]

- Prof. Christopher Palmer, Wave Motion [CP4, HT weeks 1-6]

- Prof. Matt Jarvis, Waves & Normal Modes [CP4, HT weeks 1-6]

Textbooks:

- K. F. Riley, M. P. Hobson, S. J. Bence, Mathematical Methods for Physics and Engineering: A Comprehensive Guide

- M.L. Boas, Mathematical Methods in the Physical Sciences

- L. Lyons, All You Wanted to Know about Mathematics But Were Afraid to Ask

- G. Stephenson, Mathematical Methods for Science Students

- A.P. French, Vibrations & Waves

- F.S. Crawford, Waves (Berkeley Physics Course)

Tutor:

Dr. Alexander Lvovsky
E-mail: Alex.Lvovsky(at)physics.ox.ac.uk
Telephone: +44 1865 272275
Office: Beecroft, 1^st floor, south side

Marker:

Kaden Bearne
E-mail: kaden.bearne(at)lincoln.ox.ac.uk
Office: Simon 163

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Michaelmas term

Homework for week 1

- Vacation homework

Homework for week 2

- Complex numbers

Homework for week 3

- Calculus

o A1; A4(b); A5; A7(a,b); don't forget to show all the special points, asymptotes, intercepts, etc.;

o B1 except a)iii); B2(b, c); B3; B4;

o part C in full

Homework for week 4

- Vectors and matrices (Problem set 1) (except 10)

Homework for week 5

- Calculus (part D + E5)

- Vectors and matrices (Problem set 2) (Problems 3-6, 9)

Homework for week 6

- Vectors and matrices (Problem set 2) (Problems 7,8,10)

- Vectors and matrices (Problem set 3) (except 9)

Homework for week 7

- ODEs [Problems 1.1-1.6 except 1.5(b)]

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Vacation homework

- Vectors and matrices (Problem set 4)

- ODEs

o 2.1-2.11

o 3.1-3.7(a,b). Hint for Problem 3.6: set the z axis parallel to the magnetic field.

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Hilary term

Homework for week 2

- Calculus Problem set 1

- Waves: Problems 1.1-1.4 from Prof. Palmer's problem set

Homework for week 3

- Calculus Problem set 2

- Waves: Problems 1.6-1.7 from Prof. Palmer's problem set; Problem 9 from Prof. Jarvis' Problem Set 1.

Homework for week 5

- Calculus Problems 1-6 from Set 3

- Additional problem

- Waves: Problems 1, 2, 4, 5 from Prof. Jarvis' Problem Set 2.

Homework for week 6

- Calculus (Problems 7-8 from Set 3, 1-6 from Set 4)

- Waves: Problems 2.2, 2.3, 2.4, 2.7 from Prof. Palmer's problem set. In 2.3(d,e), please find the explicit expressions for A_n.

Homework for week 8

- Calculus (Remainder of Problem Set 4)

- Waves: Problems 4, 5, 6 from Prof. Jarvis' Problem Set 3.

- Additional problem