Workshop and Lectures Notes Semester 1
On this page you will find the lecture notes associated with the Mathematics Learning Centre's lectures and workshops for Semester 1 2008.
Please see the Resources page for additional mathematics resources and the Publications page for Mathematics Learning Centre publications.
Maths Workshops for Economics and Business
All the notes for the maths workshops for Semesters 1 2008 are here.
Please download anything you think may be useful.
- Introduction to calculus
- Sigma notation and Basic concepts in probability
- Working with quadratic, exponential and
logarithmic graphs
Other lecture notes
Calculus from Scratch Lectures
- Lecture 1 — Monday 10 March
Functions and straight line graphs and Gradient of a line, gradient of a curve
Lecture 2 — Thursday 13 March
Indices and Introduction to the rules of calculus - Lecture 3 — Monday 17 March
Introduction to the rules of calculus
The product rule, quotient rule (see notes above) - Lecture 4 — Thursday 20 March
Differentiation of trig and exp and log functions - Lecture 5 — Monday 31 March
Composite functions and their derivatives
See also the math video on the chain rule. - Lecture 6 — Thursday 3 April
Stationary points and their nature
View the Mathcentre video on maxima and minima at http://www.mathcentre.ac.uk/resources.php/411
Graphs of polynomials - Lecture 7 — Monday 7 April
The second derivative, concavity and points of inflection - Lecture 8 — Thursday 10 April
Review - Lecture 9 — Monday 14 April
Optimisation using calculus - Lecture 10 — Thursday 17 April
Curve sketching using calculus - Lecture 11 — Monday 21 April
Curve sketching continued and review of differentiation - Lecture 12 — Thursday 24 April
Integration: the anti-derivative - Lecture 13 — Monday 28 April
Integration: the anti-derivative (continued) - Lecture 14 — Thursday 1May
Integration: the definite integral - Lecture 15 — Monday 5 May
Integration: another look at areas - Lecture 16 — Thursday 8 May
Integration: another look at areas continued (no notes) - Lecture 17 — Monday 12 May
Areas between two curves (see notes for Lecture 14) - Lecture 18 — Thursday 15 May
Areas between two curves (continued) and the chain rule in reverse - Lecture 19 — Monday 19 May
The chain rule in reverse (continued) - Lecture 20 — Thursday 22 May
Extending integration: an introduction to improper integrals - Lecture 21 — Monday 26 May
Improper integrals continued - Lecture 22 — Thursday 29 May
Extending integration: double integrals - Lecture 23 — Monday 2 June
Double integrals
