ENG1090 Foundation mathematics
Faculty of Engineering
ENG1090 Foundation mathematics is a level 1, 6-credit-point, undergraduate unit from the Faculty of Engineering, offered in 2020 in Semester 1 and Semester 2 at Clayton and Malaysia. It has no prerequisites and unlocks 2 units, leading on to 14 units in all.
- Credit points
- 6
- Offered in 2020
- Semester 1, Semester 2
- Clayton, Malaysia
- Assessment
- No exam
- 4 tasks
- Workload
- 144 hours
- per semester
This is the 2020 handbook entry. See the 2027 entry.
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Requisites
Before ENG1090
Prohibitions
You can't enrol if you have passed any of these.
After ENG1090
2 units list ENG1090 as a prerequisite or corequisite.
Enrolment rules
Overview
Functions and coordinate geometry: types of functions, composite functions, inverse functions, modelling of periodic phenomena with trigonometric functions. Complex numbers. Differentiation and integration: concepts and techniques, applications to related rate of change and optimisation problems, areas, volume, and centre of mass. Vectors in two- and three-dimensional space, application to motion and kinematics.
Offerings in 2020
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
| First semester | Malaysia | On campus |
| First semester (Fully flex) | Clayton | Flexible |
| Second semester | Malaysia | On campus |
| November teaching period | Clayton | On campus |
| October intake teaching period, Malaysia campus | Malaysia | On campus |
Assessment
- 5 x Fortnightly Moodle quizzesThreshold hurdle15%
- 5 x Fortnightly assignmentsThreshold hurdle20%
- Applied class problem set participationThreshold hurdle5%
- Final assessmentThreshold hurdle60%
Learning outcomes
When you finish this unit, you should be able to:
- 1
Demonstrate understanding of the properties of common functions and their graphs, use composition of functions, and inverse functions; use trigonometric functions to model periodic behaviour.
- 2
Represent complex numbers in Cartesian, polar and exponential forms, and on the complex plane.
- 3
Perform arithmetic and algebra on complex numbers, including finding powers and complex roots of polynomials.
- 4
Demonstrate understanding of the concepts of limit, continuity, differentiable and integrable functions.
- 5
Evaluate limits of piecewise functions, and of rational functions at infinity.
- 6
Use differentiation rules to find derivatives of implicit and explicit functions.
- 7
Apply differentiation techniques to related rates of change problems and optimisation problems.
- 8
Use simple integration techniques to find definite and indefinite integrals, including by substitution and partial fractions.
- 9
Apply integration techniques to calculate areas, average values, volumes, and centres of mass or moment.
- 10
Perform operations with two and three-dimensional vectors, interpret them geometrically, calculate dot products, find vector resolutes, and apply them to motion of a particle.
- 11
Solve kinematics problems, and set up and solve problems involving Newton's laws of motion.
- 12
Express and explain mathematical techniques and arguments clearly in words.
Workload and teaching
- Lectures36 hours
- Applied sessions22 hours
- Teaching approachActive learning
Minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per semester typically comprising a mixture of 4-6 hours of scheduled learning activities and 6-8 hours independent study per week. Scheduled activities may include a combination of teacher-directed learning, peer-directed learning and online engagement. Independent study may include associated readings, assessment and preparation for scheduled activities.
Face-to-face classes, for students studying on campus, and online/distance education, for students who are studying remotely. The main learning approach is active learning which requires students to be involved as proactive learners in the activities and assignments rather than passive listeners.
Where it fits
ENG1090 is part of 3 areas of study in the 2020 handbook.
Contacts
- Unit Coordinators
- Dr Jian He
- Dr Santiago Barrera Acevedo
- Dr Lily Wong
- Chief Examiners
- Dr Santiago Barrera Acevedo
Common questions
What are the prerequisites for ENG1090?
ENG1090 has no prerequisites, but enrolment rules apply.
What can I take after ENG1090?
ENG1090 is a prerequisite or corequisite for 2 units, including PHS1001 and PHS1002. Those lead on to 14 units in all.
When is ENG1090 offered?
In 2020, ENG1090 runs in Semester 1 and Semester 2 at Clayton and Malaysia.
How much work is ENG1090?
The handbook expects about 144 hours of study across the semester. No students have rated its difficulty yet.
Does ENG1090 have an exam?
No. ENG1090 has 4 assessment tasks and no exam.
Which majors and minors include ENG1090?
ENG1090 is part of Mathematics.