MATH6103 & MATH6500

Syllabus

The syllabus outlines many of the learning outcomes of the course.

MATH6103 Syllabys PDF

MATH6500 Syllabys PDF

Lecture Notes

TOC PDF

Lecture 1 PDF Week 1

Lecture 2 PDF

Lecture 3 PDF

Lecture 4 PDF Week 2

Lecture 5 PDF (9/10/12 - Please read example 2.3, we missed this due to the fire alarm!)

Lecture 6 PDF

Lecture 7 PDF Week 3

Lecture 8 PDF

Lecture 9 PDF

Lecture 10 PDF Week 4

Lecture 11 PDF

Lecture 12 PDF Week 5

Lecture 13 PDF

Lecture 14 PDF

Lecture 15 PDF Week 6

Lecture 16 PDF

Lecture 17 PDF

Lecture 18 PDF Week 7

Lecture 19 PDF

Lecture 20 PDF

Lecture 21 PDF Week 8

Lecture 22 PDF

Lecture 23 PDF Note: In lectures I think I mistakenly put p(x) as q(x) i.e. in hand written notes p and q are the other way round! Sorry!

Lecture 24 PDF Week 9

Lecture 25 PDF

Lecture 26 PDF

Lecture 27 PDF Week 10

Lecture 28 PDF End of lecture notes


Download the complete Differential and Integral Calculus lecture notes 'book' here PDF.

Don't forget to refer to your hand written notes from lectures. They are probably the best (useful) notes you will have!

Extra Notes

Complex numbers: quick overview PDF

Limits example PDF

Limits example: making a function continuous PDF

Tangent line example: tangent of y=f(x) at x=c PDF

Logarithms and exponentials example PDF

Integration with partial fractions example PDF

Integration by parts - definite integral example PDF

Integration speed, distance and acceleration - physics example PDF

Integration application - area bounded by curves example PDF

Numerical Integration - trapezium rule example PDF

Differential Equations - 1st order ODE constant coefficient when r=\lambda PDF

Differential Equations - 2nd order ODE constant coefficient when r=\lambda_1=\lambda_2 PDF

Differential Equations - 2nd order ODE constant coefficient IVP when p(x)=constant PDF

Differential Equations - 2nd order ODE constant coefficient BVP PDF

Differential Equations - 2nd order ODE constant coefficient when p(x) is mixed sum of functions PDF

NEW - Differentiation application: real life example Exam Q PDF

NEW - Exponential growth and decay Exam Q PDF

Homework Sheets

Homework sheets are handed out on Tuesdays and work will be collected on the following Tuesday. No late submissions please!

You can collect your sheet 8 scripts and all other scripts that you have not taken already from the mathematics office (room 610, 25 Gordon street) early in the second term (January). Please e-mail me if you would like to know your grades or average.

Past Exam Papers

Solutions for past three years exam papers (department policy) are made available on the MATH 6103 Moodle page, click here. Note that the solutions are no longer made available at the maths office! Note that MATH6103 and MATH6500 exam papers are exactly the same, just the code on the front differs. You can find past exam papers online from the library website here.

Exam Ruberics

Some good tips

Revision Class

The revision class is scheduled for Wednesday 20th March 2013 at 1PM in Roberts 309.

In the meantime, if you have any questions feel free to e-mail me or if you would like to see me, send me an e-mail and we can arrange a time to meet.

Recommended Texts

Although I do not think you require a text book for the course, it can be a good idea to have one to refer to and try extra examples. Here are a few (in no particular order):

Croft, Davison and Hargreaves, Introduction to Engineering Mathematics (Addison-Wesley)

Advancing Maths for AQA: Pure Core 1 & 2 (C1 & C2) (Advancing Maths for AQA 2nd edition)

Advancing Maths for AQA: Pure Core 3 & 4 (C3 & C4) (Advancing Maths for AQA 2nd edition)

Advancing Maths for AQA: Further Pure 1 (FP1) (Advancing Maths for AQA 2nd edition)

For Complex Numbers: AQA GCE Further Pure Mathematics Unit 2 text book PDF

For Differential equations: AQA GCE Further Pure Mathematics Unit 3 text book PDF

Schaum's Outline of Advanced Mathematics for Engineers and Scientists (Schaum's Outline Series)

Schaum's Outline of Calculus, 5ed: Schaum's Outline of Calc, 5ed (Schaum's Outline Series)

Anton, Bivens and Davis, Calculus: Late Transendentals 10ed (Wiley)

Useful Links

MATH6103 UCL Moodle webpage

`Squeeze' law for limits