Online Screencasts, Help&Practice sheets
We are gradually adding to this page. If you are a Swinburne University of Technology student enrolled in any first year mathematics subject, please send your suggestions for screencasts to mash@swin.edu.au.
These screencasts ("MathsCasts") are produced by MASH Centre tutors and Swinburne mathematics lecturers as part of a collaborative research project with mathematics support centres at two European universities (the University of Limerick, Ireland and Loughborough University, UK). We have also commenced collaboration to produce "StatsCasts" with the University of the Sunshine Coast and the University of Southern Queensland.
We are building a range of screencasts in 2012 which will be accessible to all students of our five universities.
If you are enrolled in HMS111 or HMS112, your BlackBoard site will directly link to the relevant MathsCasts. Click on the link "MathsCasts" in the menu on the left on the site.
This site is currently being updated. Please go to MathsCasts.org to access the whole range of available MathsCasts.
Quicklinks
- HMS111 Engineering Mathematics 1
HMA103 - Statistics and Research Methods A
| Category | Topic | Help Sheets | Screencasts |
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| Revision Part 1 |
iPhone/iPad/iPod |
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| Revision Part 2 |
iPhone/iPad/iPod |
HMS111 - Engineering Mathematics 1
| Category | Topic | Help Sheets | Screencasts |
|---|---|---|---|
| Vectors | Relationship between sides and angles in a non-right-angled triangle Sine and Cosine Rules |
iPhone/iPad/iPod |
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| Relationship between sides and angles in a right-angled triangle Pythagoras' theorem |
iPhone/iPad/iPod |
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Vector components - concept and example  |
iPhone/iPad/iPod |
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Challengineering material
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For current Swinburne students |
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| Numbers | Conversion between Binary and Decimal numbers |
iPhone/iPad/iPod |
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| Algebra | Revision of fundamentals: Fractions, index laws, logs, factorization, transposition, quadratic equations, domain, composite functions, straight line questions, sketching graphs |
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natural, integer, rational, irrational, real numbers
linear and non-linear inequalities, intervals, absolute value inequalities |
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Long division of polynomials
Factorizing a cubic |
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iPhone/iPad/iPod |
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Absolute value equalities/inequalities - intro |
iPhone/iPad/iPod |
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| Absolute value inequalities - ">=" example |
iPhone/iPad/iPod |
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| Absolute value inequalities - "<" example |
iPhone/iPad/iPod |
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Challengineering material (not complete yet) |
For current Swinburne students |
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| Functions and Graphs |
Completing the square
Identifying the equation of a circle, finding centre and radius |
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iPhone/iPad/iPod |
| Identification of curves (circle, ellipse, hyperbola) (11 examples - about 21 minutes) |
iPhone/iPad/iPod |
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| Matching a graph with a rational function 1 |
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| Matching a graph with a rational function 2 |
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Functions
Substituting values into a function |
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| Sketching rational functions |
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| Hyperbolic functions |
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| Some standard curves |
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Challengineering - click on calculus tab, then expand Functions and Graphs |
For current Swinburne students |
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| Derivatives | Logarithmic differentiation |
iPhone/iPad/iPod |
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| Integration | Basic integration |
iPhone/iPad/iPod |
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| Integration by Substitution |
iPhone/iPad/iPod |
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Past exam papers |
HMS111 Exam S2 2008 |
Q1-7 |
Q1-3 Q4-7 |
HMS112 - Engineering Mathematics 2
| Category | Topic | Help Sheets | Screencasts |
|---|---|---|---|
| Partial derivatives | First Order Partial Differentiation |
iPhone/iPad/iPod |
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Second Order Partial Differentiation  |
iPhone/iPad/iPod |
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| 3D Surfaces | Sketching 3D surfaces: Example 1 |
iPhone/iPad/iPod |
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| Sketching 3D surfaces: Example 2 |
iPhone/iPad/iPod |
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| Sketching 3D surfaces: Example 3 |
iPhone/iPad/iPod |
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| Stationary point of a surface |
iPhone/iPad/iPod |
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| Curves | Orthogonal curves |
iPhone/iPad/iPod |
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| Differential Equations | Separable DEs |
iPhone/iPad/iPod |
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| Linear DEs |
iPhone/iPad/iPod |
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| Second order DEs (example 1) |
iPhone/iPad/iPod |
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| Second order DEs (example 2) |
iPhone/iPad/iPod |
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| Second order DEs (example 3) |
iPhone/iPad/iPod |
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| Matrices | Gaussian Elimination |
iPhone/iPad/iPod |
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| Matrix multiplication |
iPhone/iPad/iPod |
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| Gaussian Elimination with an infinite number of solutions |
iPhone/iPad/iPod |
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| The determinant of a 3x3 matrix |
iPhone/iPad/iPod |
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| Solving Equations with matrix inversion |
iPhone/iPad/iPod |
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| Cramers Rule for two unknowns |
iPhone/iPad/iPod |
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| Discrete mathematics | Karnaugh maps with 4 variables |
iPhone/iPad/iPod |
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| Karnaugh maps with 3 variables |
iPhone/iPad/iPod |
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| Boolean Algreba example 1 |
iPhone/iPad/iPod |
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| Boolean Algebra example 2 |
iPhone/iPad/iPod |
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| Planes | Equation of a plane given three points |
iPhone/iPad/iPod |
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Past exam papers |
Q1 Complex Impedance Q2 Minimal Spanning Trees and 5 Curves Q3 Separable DEs Q4 Curves Q7 Matrix Inversions Q10 Karnaugh Maps Q14 Second order DEs |
Do you like these materials? Have they helped you understand better? Would you like more recordings on other topics?
Please send us your comments,Contact us
via email: MASH@swin.edu.au
via phone: 9214 8748
