 First Year Mathematics

Keble Physics tutorial page

Course information

Lecture notes:

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

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

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

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

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

Textbooks:

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

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·         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

Michaelmas term

Homework for week 1

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Homework for week 2

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·         Calculus [A1; A4(b); A5; A7(a,b) – don’t forget to show all the special points, asymptotes, intercepts, etc.]

Homework for week 3 (first tutorial)

·         Calculus [B1 except a)iii), b)ii), f)i), f)iii), g)ii); B2(b); B3; B4; part C in full]

Homework for week 3 (second tutorial)

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

Homework for week 4

·         Calculus (part D, problems E5 and E7)

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

Homework for week 5

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

Homework for week 7

·         ODEs (Problems 1.1-1.6 except 1.5(b).)

Vacation homework

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·         ODEs (Problems 2.1-2.13, 2.15, 3.1-3.7)

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

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·         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

·         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)

·         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.

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