EPPREP930
5 units
level
Course handbook
Description
EPPREP930 is a preparatory course for students intending to commence their undergraduate mathematical studies in MATH1110 Mathematics for Engineering, Science and Technology 1. This course assumes students have previously completed 2 Unit HSC Advanced Mathematics (or equivalent). It revises topics in algebra, graphing, trigonometry, and differential and integral calculus to ensure students entering MATH1110 have an adequate background in those areas.
Availability2024 Course Timetables
Callaghan
- Summer 2 - 2024
- Winter - 2024
Learning outcomes
On successful completion of the course students will be able to:
1. Write algebraic expressions in index form using negative and fractional indices
2. Recognise and graph equations of polynomials, circles, sine and cosine functions
3. Find trig values for angles of any size
4. Convert between degrees and radians
5. Find unknown sides and angles in non right-angled triangles
6. Differentiate any combination of common functions
7. Find equations of tangent lines, relate displacement to velocity and acceleration, find local maxima and minima
8. Antidifferentiate common functions, and use this to find areas of curved regions
9. Solve exponential growth and decay problems
Content
- Algebra: completing the square, simultaneous equations, negative and fractional indices
- Graphing: polynomials, circles, sine and cosine graphs
- Trigonometry: angles in any quadrant, radians, sine and cosine rules
- Differentiation: definition, common derivatives, algebra of derivatives - product, quotient, chain rules
- Applications of differentiation: tangent lines, dynamics, curve sketching, optimisation problems
- Integration: antidifferentiation (indefinite integrals), exponential growth and decay, definite integrals, area under curves
Requisite
This course is only available to domestic students enrolled in NUPrep Bridging and Refresher [22223].
Assumed knowledge
2 Unit HSC Advanced Mathematics (or equivalent)
Assessment items
Quiz: Topics in algebra and graphing
Quiz: Advanced trigonometry
Quiz: Differentiation
Quiz: Applications of differentiation
Quiz: Integration with applications
Contact hours
Summer 2 - 2024 - Callaghan
Lecture-1
- Face to Face On Campus 2 hour(s) per day for 5 day(s) starting in week 1
Self-Directed Learning-1
- Self-Directed 1 hour(s) per day for 5 day(s) starting in week 1
- It is expected that you will spend at least one hour per day practicing skills and consolidating your learning.
Tutorial-1
- Face to Face On Campus 1 hour(s) per day for 5 day(s) starting in week 1
Winter - 2024 - Callaghan
Lecture-1
- Face to Face On Campus 2 hour(s) per day for 5 day(s) starting in week 1
Self-Directed Learning-1
- Self-Directed 1 hour(s) per day for 5 day(s) starting in week 1
- It is expected that you will spend at least one hour per day practicing skills and consolidating your learning.
Tutorial-1
- Face to Face On Campus 1 hour(s) per day for 5 day(s) starting in week 1
Course outline
- EPPREP930 - Ls, 2024 (Callaghan) (PDF, 253.5 KB)
The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.