MLC Resources for MATHEMATICS 1B
This page contains various resources for the University of Adelaide course "Mathematics 1B". To find out more about this course, please search for it in the Course Information Page.
There are a number of resources that students in this course might find useful:
- Revision of Maths 1A
- Multivariable calculus
- Infinite series
- Conic sections
- Orthonormal bases and diagonalisation
- Linear Transformations
- Integrating factors
- Second order differential equations
- Solids of revolution
Revision of Maths 1A
The MLC has various resources available to help students study the topics in Maths 1A. These are also useful for revising Maths 1A. We recommend particularly focussing on "Techniques of Integration", "The Vector Space Rn" and "Eigenvalues"
Resources for revising the topics in Maths 1A.
Multivariable calculus
Domains, ranges, partial derivatives, maxima and minima
In 2012, the MLC ran a revision seminar on multivariable calculus. Unfortunately, the section on directional derivatives did not record. However, all the notes from the document camera are available. (Note a separate seminar just on directional derivatives is below.)
To watch the video or download it, follow this link:
To download pdf versions of the notes written on the document camera during this seminar, please use this link:
Directional derivatives and tangent planes
In Summer Semester 2013, the MLC ran a revision seminar on tangent planes and directional derivatives.
To watch the video or download it, follow this link:
To download pdf versions of the notes written on the document camera during this seminar, please use this link:
Infinite Series; Conics
In 2011, the MLC ran a revision seminar on infinite series and conic sections. To watch the video or download it, follow the link below (FYI: the part on conics begins at about 37mins). (Also note that the email address at the end of the video will no longer work, so please use the email address listed at the side of the page here).
To download pdf versions of the handouts from this seminar, please use these links:
Orthonormal bases and diagonalisation; Integrating Factors
In Summer Semester 2012, the MLC ran a revision seminar on orthonormal bases and diagonalisation, as well as on solving differential equations using integrating factors. To watch the video or download it, follow this link:
Linear Transformations
In Semester 2, 2012, the MLC ran a revision seminar on linear transformations. To watch the video or download it, follow the links below:
- Linear transformations revision seminar part 1 video page
- Linear transformations revision seminar part 2 video page
To download a PDF copy of the notes written on the document camera during the seminar, follow the link below:
Second-order Linear Differential Equations with Constant Coefficients
In 2010, David made a prezi to describe how to solve Second-Order Linear Differential Equations. To view the Prezi follow the following link and then use the arrow buttons to click through the presentation.
The above prezi is available in PDF format using the following link:
Solids of Revolution
In Summer Semester 2013, the MLC gave a revision seminar on Solids of Revolution. To veiw the video or download it, use the following link:
To download pdf versions of the notes written on the document camera during this seminar, please use this link:
