Syllabus: Methods

We are building a collection of examples to show how mathematics is used in engineering. You can find these examples by entering engineering in the search box towards the top right.

This Methods course is aimed at undergraduate students following engineering, physics or other similar degrees where there is a significant mathematical content.
There are currently 5221 pages of content ranging from illustrations and explanations to 1813 fully worked exam-style questions and 706 o-tests (on-line assessments). Almost every page is interactive offering you much more than simply an online text book.

M1	Basics of algebra & geometry
M2	Functions & graphs
M3	Complex numbers
M4	Vectors
M5	Matrices
M6	Discrete mathematics
M7	Sequences & series
M8	Differentiation
M9	Integration
M10	Further calculus
M11	Ordinary differential equations
M12	Laplace transforms
M13	Fourier series
M14	Statistics
M15	Probability

Try these sample pages:

• Factorising quadratics
• Quadratic curves
• Rationalising surds
• True or false?
• An exam question
• Linear & quadratic graphs
• Proof

ID 7838: Integration: Substitution method: Exam timed O-test 2
METHODS M9

ID 7837: Differentiation: Implicit differentiation: Exam timed O-test 2
METHODS M8

ID 7836: Sequences and series: Binomial expansion: Exam timed O-test 2
METHODS M7

ID 7835: Complex Numbers: Complex equations: Exam timed O-test
METHODS M3

ID 7834: Complex Numbers: Complex algebra: Exam timed O-test
METHODS M3

ID 7833: Integration: Partial fractions: Exam timed O-test
METHODS M9

ID 7832: Integration: Trig functions: Exam timed O-test
METHODS M9

ID 7831: Integration: Observation: Exam timed O-test
METHODS M9