MTH1035 Techniques for modelling (Advanced)
Faculty of Science
MTH1035 Techniques for modelling (Advanced) is a level 1, 6-credit-point, undergraduate unit from the Faculty of Science, offered in 2024 in Semester 1 at Clayton. It has no prerequisites and unlocks 25 units, leading on to 130 units in all.
- Credit points
- 6
- Offered in 2024
- Semester 1
- Clayton
- Assessment
- Exam 40%
- and 4 other tasks
This is the 2024 handbook entry. See the 2027 entry.
Reviews
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Requisites
Before MTH1035
No prerequisites or corequisites besides the enrolment rules below.
After MTH1035
25 units list MTH1035 as a prerequisite or corequisite.
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Enrolment rules
PREREQUISITE: VCE Specialist Mathematics with an ATAR/ENTER score of 95 or above; a VCE raw study score of 35 or above in Specialist Mathematics; a High Distinction in MTH1020; or by approval of the Head of School of Mathematics.
You must enrol in this unit manually via the online Enrolment Amendment form.
Equivalent units
The same content under another code. Only one of them counts.
Overview
This unit develops a comprehensive understanding of basic linear algebra and advanced calculus, equipping you with versatile techniques and skills applicable within the natural sciences, engineering, computer science, economics and many other disciplines.
The first half of the unit is dedicated to linear algebra. Topics covered include: solution of systems of linear equations, Gauss-Jordan algorithm, reduced row echelon form, matrix operations, inverses and determinants, linear independence, subspaces, linear transformations, eigenvectors and eigenvalues, diagonalization of matrices, Cayley-Hamilton theorem and various applications of linear algebra.
The second half of the unit is dedicated to calculus. Topics covered include: limits and continuity, L’Hôpital’s rule, infinite sequences and series, Taylor and general power series, solution of various types of differential equations such as separable and linear first and second order differential equations.
This unit is the advanced stream of MTH1030.
Offerings in 2024
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
Assessment
- PortfolioOther20%
- Project 1Project15%
- Project 2Project15%
- Mid-semester testIn class test10%
- Final assessment - Exam (2 hours and 10 minutes)ExamThreshold hurdle40%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Demonstrate advanced conceptual understanding of fundamental linear algebra and calculus;
- 2
Solve basic and complex mathematical problems involving linear algebra and calculus techniques;
- 3
Model practical scenarios using linear algebra and calculus, identify relevant solution strategies and communicate solutions effectively through written presentations;
- 4
Collaborate and communicate effectively in small groups to analyse, discuss, and solve mathematical problems;
- 5
Utilise proficiently the advanced computer algebra Mathematica to perform complex mathematical computations, symbolic algebraic manipulations, and visualisation tasks;
- 6
Demonstrate proficiency in proving mathematical theorems.
Workload and teaching
- Applied sessions22 hours
- Seminars36 hours
- Workshops12 hours
- Three 1-hour seminars;
- One 2-hour applied class (in weeks 2-12);
- One 1-hour workshop and
- Six hours of independent study per week.
Learning resources
Required resources
Anton and Rorres, Elementary Linear Algebra (any edition is fine)
Stewart, Calculus: Early Transcendentals (any edition is fine)
Technology resources
Mathematica software
Where it fits
MTH1035 is part of 1 area of study in the 2024 handbook.
Contacts
- Chief Examiners
- Professor Burkard Polster
- Unit Coordinators
- Professor Burkard Polster
Common questions
What are the prerequisites for MTH1035?
MTH1035 has no prerequisites, but enrolment rules apply.
What can I take after MTH1035?
MTH1035 is a prerequisite or corequisite for 25 units, including ASP2011, ASP2062, EAE2122, EAE3111, EAE3121 and FIT2004. Those lead on to 130 units in all.
When is MTH1035 offered?
In 2024, MTH1035 runs in Semester 1 at Clayton.
Does MTH1035 have an exam?
Yes. The exam is worth 40% of the final mark, alongside 4 other tasks.
Which majors and minors include MTH1035?
MTH1035 is part of Mathematics.