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, 1st floor, south side

Marker:

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


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)]


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.


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

-        Additional problem

-        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