Key facts
UNE unit code: MTHS130
*You are viewing the 2024 version of this unit which may be subject to change in future.
- Trimester 2 - On Campus
- Trimester 2 - Online
- Trimester 3 - Online
- Armidale Campus
- Yes
- No
- Yes
- 6
Unit information
Advanced calculus techniques are an essential tool for scientists modelling complex systems, from electromagnetic oscillations to the spread of infectious diseases.
Integrating with other offerings in calculus and linear algebra this unit not only provides you with methods applied across the natural and social sciences but also with a theoretical foundation allowing you to pursue further study in mathematics.
You will explore topics with broad applications, including linear mappings (determinant and eigenvectors), further techniques of integration and improper integrals, infinite series and Taylor series, parametric equations and implicit equations, and basic differential equations.
Offerings
For further information about UNE's teaching periods, please go to Principal Dates.
| Teaching period | Mode/location |
|---|---|
| Trimester 2 | On Campus, Armidale Campus |
| Trimester 2 | Online |
| Trimester 3 | Online |
*Offering is subject to availability
Intensive schools
There are no intensive schools required for this unit.
Enrolment rules
Notes
Please refer to the student handbook for current details on this unit.
Unit coordinator(s)
Learning outcomes
Upon completion of this unit, students will be able to:
- identify and apply appropriate techniques of integration, such as integration by parts, substitution, and partial fractions, to a range of functions of one variable;
- identify and apply appropriate tests for convergence of a range of infinite series, and relate this concept to the power series expansion and approximation of smooth functions;
- relate the concept of implicit parametrisation to the loci of a range of plane curves as represented in either cartesian or polar coordinates, and apply this with integration to compute arc-length;
- identify and apply appropriate techniques to solve elementary differential equations of first or second order, placed in the context of specific mathematical models from physical and biological science; and
- compute determinants, eigenvalues and eigenvectors of matrices in terms of real, or more generally, complex numbers where necessary, and appreciate their significance in mathematical modelling.
Assessment information
Assessments are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.
| Title | Must Complete | Weight | Offerings | Assessment Notes |
|---|---|---|---|---|
| Assessment 1 | Yes | 4% | All offerings | Mathematical calculations and problem solving. |
| Assessment 2 | Yes | 4% | All offerings | Mathematical calculations and problem solving. |
| Assessment 3 | Yes | 4% | All offerings | Mathematical calculations and problem solving. |
| Assessment 4 | Yes | 5% | All offerings | Mathematical calculations and problem solving. |
| Assessment 5 | Yes | 5% | All offerings | Mathematical calculations and problem solving. |
| Assessment 6 | Yes | 5% | All offerings | Mathematical calculations and problem solving. |
| Assessment 7 | Yes | 4% | All offerings | Mathematical calculations and problem solving. |
| Assessment 8 | Yes | 5% | All offerings | Mathematical calculations and problem solving. |
| Assessment 9 | Yes | 4% | All offerings | Mathematical calculations and problem solving. |
| Final Examination | Yes | 60% | All offerings | It is mandatory to pass this examination in order to pass this unit. To obtain a distinction in this unit, a student must obtain a distinction in the examination. |
Learning resources
Textbooks are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.
Note: Recommended material is held in the University Library — purchase is optional.
Elementary Linear Algebra: Applications Version
ISBN: 9781119666066
Anton, H. and Rorres, C., John Wiley 12th ed. 2020
Text refers to: All offerings
Calculus Early Transcendentals
ISBN: 9781119778189
Anton, H., John Wiley and Sons Inc 12th ed. 2021
Text refers to: All offerings
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