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 2009.
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 2009 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 2009
- Lecture 1 — Monday 9 March
Functions and straight line graphs and Gradient of a line, gradient of a curve - Lecture 2 — Thursday 12 March
Indices and Introduction to the rules of calculus up to and including rule 2. - Lecture 3 — Monday 16 March
Introduction to the rules of calculus
The product rule, quotient rule (see notes above) - Lecture 4 — Thursday 19 March
Differentiation of trig and exp and log functions and introduction to composite functions (see notes below) - Lecture 5 — Monday 23 March
Composite functions and their derivatives
See also the math video on the chain rule. - Lecture 6 — Thursday 26 March
Stationary points and their nature
View the Mathcentre video on maxima and minima at http://www.mathcentre.ac.uk/resources.php/411 - Lecture 7 — Monday 30 March
Graphs of polynomials and
The second derivative, concavity and points of inflection - Lecture 8 — Thursday 2 April
Optimisation using calculus - Lecture 9 — Monday 6 April
Curve sketching using calculus - Lecture 10 — Thursday 9 April
Curve sketching continued and review - Lecture 11 — Monday 20 April
Review of differentiation and introduction to integration - Lecture 12 — Thursday 23 April
Integration: the anti-derivative - Lecture 13 — Monday 27 April
Integration: Integration: the definite integral - Lecture 14 — Thursday 30 April
Integration: the definite integral continued - Lecture 15 — Monday 4 May
Integration: another look at areas - Lecture 16 — Thursday 7 May
Integration: another look at areas continued (no notes) - Lecture 17 — Monday 11 May
Areas between two curves (see notes for Lecture 14) - Lecture 18 — Thursday 14 May
The chain rule in reverse - Lecture 19 — Monday 18 May
The chain rule in reverse (continued) - Lecture 20 — Thursday 21 May
Revision - Lecture 21 — Monday 25 May
Extending integration: Improper integrals - Lecture 22 — Thursday 28 May
Improper integrals and revision - Lecture 23 — Monday 1 June
Revision