MTH2019 Multivariate mathematics for data science
Faculty of Science
MTH2019 Multivariate mathematics for data science is a level 2, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2023 in Semester 1 at Clayton. It has no prerequisites and unlocks 5 units, leading on to 34 units in all.
- Credit points
- 6
- Offered in 2023
- Semester 1
- Clayton
- Assessment
- Exam 55%
- and 1 other task
This is the 2023 handbook entry. See the 2027 entry.
Reviews
No reviews yetNo reviews yet. Be the first to review MTH2019.
Requisites
Before MTH2019
No prerequisites or corequisites besides the enrolment rules below.
After MTH2019
5 units list MTH2019 as a prerequisite or corequisite.
Enrolment rules
COREQUISITE: Enrolment in Bachelor of Applied Data Science/Bachelor of Applied Data Science Advanced (Honours).
Overview
This unit introduces and develops a range of basic concepts and techniques related to two main subjects: multivariate calculus and linear algebra. The programme is targeted for students following a degree in data science and the material will have emphasis on assimilating important principles, on developing classical techniques, and on facilitating the use of the theoretical framework and practical methods in the context of common applicative problems. The unit will cover partial derivatives, extrema of multivariate functions, integration, linear transformations, matrices and orthogonalisation, eigenvalues and eigenvectors, and applications to data science.
Offerings in 2023
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
Assessment
- Continuous assessmentOther45%
- Examination (3 hours and 10 minutes)ExamThreshold hurdle55%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Successfully describe, and apply multivariate mathematics to problems in data science;
- 2
Exhibit key skills in the calculus of functions of several variables including the computation of partial derivatives, finding tangent planes and identifying stationary points, root finding, and convexity for optimisation;
- 3
Compute line, surface and volume integrals in a range of coordinate systems;
- 4
Demonstrate their comprehension of basic concepts related to linear transformations and vector spaces, including subspace, span, linear independence, basis, kernel and range;
- 5
Diagonalise real matrices by computing their eigenvalues and finding their eigenspaces;
- 6
Explain and apply basic concepts related to vector spaces and subspaces;
- 7
Present clear mathematical arguments in written and oral form.
Workload and teaching
- Applied sessions22 hours
- Lectures36 hours
- Three 1-hour lectures;
- One 2-hour applied class (in weeks 2-12) and
- 7 hours of independent study per week.
Contacts
- Chief Examiners
- Associate Professor Ricardo Ruiz Baier
- Unit Coordinators
- Associate Professor Ricardo Ruiz Baier
Common questions
What are the prerequisites for MTH2019?
MTH2019 has no prerequisites, but enrolment rules apply.
What can I take after MTH2019?
MTH2019 is a prerequisite or corequisite for 5 units, including MTH2051, MTH2222, MTH3241, MTH3320 and MTH3330. Those lead on to 34 units in all.
When is MTH2019 offered?
In 2023, MTH2019 runs in Semester 1 at Clayton.
Does MTH2019 have an exam?
Yes. The exam is worth 55% of the final mark, alongside 1 other task.