Prof. J.K. Langley, School of Mathematical Sciences, University of Nottingham, NG7 2RD.

**Measure and Integration notes:**

My notes for this former module are viewable in PDF: PDF version.

**first year Real Analysis:** I taught first year
Real Analysis for several years and my lecture
notes are available here in

All these notes are Copyright © J.K. Langley, but freely available for personal use.

In Autumn
2013-14 I will be lecturing the module **G12MAN Mathematical Analysis**:

This is the first part of the lecture notes for the module: pdf file (beamer).

This is the second part of the lecture notes for the module: pdf file (beamer).

These are the practice problems for the module: pdf file.

G12MAN 2013-14: provisional schedule.

2nd October (Week 2): first lecture 10.00

3rd October (week 2): problem class. Questions 1.1 to 1.3, plus 1.4 parts (a) and (b) (G11ACF revision)

Week 3: tutorials. Questions 1.4(c), 1.4(d), 1.5, 2.1, 2.2 (and, if time permits, 1.6)

17th October (week 4): problem class. Questions 2.3, 2.5, 2.8, 2.9

17th October (week 4): first non-assessed coursework. Questions 2.6, 2.10, 2.11.

Week 5: tutorials. Questions 3.2, 3.3, 3.4, 3.5.

31st October (Week 6): problem class. Questions 3.8, 3.9, 3.11, 3.12, 3.13.

31st October (week 6): second non-assessed coursework. Question 3.10.

Week 7: Thurs. 5.00 examples class to prepare for the in-class test.

Week 8: tutorials. Questions 3.19, 3.20, 3.24, 3.26(a), 3.26(b).

Week 8: in-class test (scheduled for Friday 15/11 at 5.00)

21st November (Week 9): problem class. Questions 3.26(c), 3.27, 3.28, 3.30.

Week 10: tutorials. Questions 4.2, 4.5, 4.6, 4.9.

Week 10: third non-assessed coursework. Questions 4.1, 4.4, 4.7, 4.8.

5th December (Week 11): problem class.
Questions 4.10, 4.11, 4.12, 4.13, 4.14, 4.15.

12th December (Week 12) @ 4.00: Examples class. Professor Langley will go
through some problems related to the last chapter and to revision.

In Spring
2013-14 I will be lecturing the module **HG1M12 Engineering Mathematics 2**:

This is the first part of the lecture notes for the module: pdf file (beamer).

This is the second part of the lecture notes for the module: pdf file (beamer).

This is the third part of the lecture notes for the module: pdf file (beamer).

For the module HG1M12
Prof. Langley will occasionally use
additional hand-written notes: these can be found below.

Part 1 (introduction to vectors):
pdf file.

Part 2 (scalar and vector products):
pdf file.

Part 3 (triple product, components and straight lines):
pdf file.

Part 4 (Examples on planes, and some (OPTIONAL) background material):
pdf file.

Part 5 (Examples from 11/2/2014):
pdf file.

Part 6 (Final part of the vectors section):
pdf file.

Part 7 (First part of the calculus section):
pdf file.

Part 8 (Second part of the calculus section):
pdf file.

Part 9 (Least squares and estimating errors):
pdf file.

Part 10 (Last part of the calculus section):
pdf file.

Part 11 (First part of the ODEs section):
pdf file.

Part 12 (Second part of the ODEs section):
pdf file.

Part 13 (Third part of the ODEs section):
pdf file.

Part 14 (Fourth part of the ODEs section):
pdf file.

Part 15 (Fifth part of the ODEs section):
pdf file.

Part 16 (Final part of the ODEs section):
pdf file.