MATH 1017 Mathematics for Engineers 1 (WSTC AssocD)
Credit Points 10
Legacy Code 700101
Coordinator Zdenka Misanovic Opens in new window
Description The content of this subject covers a number of topics in mathematics essential to the study of engineering. The subject matter includes: matrix algebra, complex numbers, vectors, functions and inverse functions, differential and integral calculus of a single variable and some elementary statistics and probability theory.
School Eng, Design & Built Env
Discipline Mathematics
Student Contribution Band HECS Band 1 10cp
Check your HECS Band contribution amount via the Fees page.
Level Undergraduate Level 1 subject
Pre-requisite(s) MATH 1022
Equivalent Subjects MATH 1016 - Mathematics for Engineers 1 MATH 1018 - Mathematics for Engineers 1 (WSTC)
Incompatible Subjects MATH 1014 - Mathematics 1A MATH 1015 - Mathematics 1B MATH 1011 - Fundamentals of Mathematics MATH 1021 - Mathematics for Engineers Preliminary
Restrictions Students must be enrolled at Western Sydney University, The College in 7022 Associate Degree in Engineering
Assumed Knowledge
HSC Maths achieved at Band 5 or 6. This is the minimum requirement.
Learning Outcomes
- Solve problems involving matrices and determinants
- Define j2 and operate with complex numbers
- Perform operations on vectors, both in 2-D and 3-D
- Find solutions to problems involving logarithmic, exponential, inverse trigonometric, hyperbolic and inverse hyperbolic functions
- Apply correctly the techniques of both differential and integral calculus to solve problems that may involve transcendental functions
- Define a random variable and find its probability distribution and calculate probabilities based on the Binomial distribution, the Poisson distribution and the Normal distribution
- Appreciate the relevance of mathematics in an engineering context
- Communicate mathematical ideas using common conventions
Subject Content
2. Complex Numbers: Basic operations; polar coordinates; Euler?fs formula; powers and roots of complex numbers.
3. Vectors: definition; basic operations; dot product; cross product; angle between two vectors; equations of lines and planes.
4. Functions and Inverse Functions: Revision - inverse functions, logs, exponentials; trig and inverse trig functions; hyperbolic and inverse hyperbolic functions.
5. Differential Calculus: Revision- limits; continuity; definition of the first derivative, differentiation rules; implicit differentiation including inverse trig functions and inverse hyperbolic functions.
6. Applications of Differential Calculus: L?fHopital?fs Rule; properties of curves; differentials; related rates.
7. Integration: Indefinite/defin
Assessment
The following table summarises the standard assessment tasks for this subject. Please note this is a guide only. Assessment tasks are regularly updated, where there is a difference your Learning Guide takes precedence.
| Type | Length | Percent | Threshold | Individual/Group Task |
|---|---|---|---|---|
| Numerical Problem Solving | Part 1: Approx. 30 min Part 2: Approx. 30 min | 10 | N | Individual |
| Numerical Problem Solving | 90 mins + 30 min for online submission | 30 | N | Individual |
| Applied Project | Approx 1 hour | 20 | N | Individual |
| End-of-session Exam | Part 1: 2 hours + 30 min for online submission Part 2: 20 min for each student for viva voce | 40 | Y | Individual |
Prescribed Texts
- Croft, A & Davison, R (2008) Mathematics for engineers: a modern interactive approach (3rd ed). Harlow: Pearson Prentice Hall, Harlow UK
Teaching Periods
Quarter 1 (2022)
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Composite
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Quarter 1 (2023)
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Hybrid
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