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MathTrackX: Special Functions
Beginner
Online
4 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | The University of Adelaide, Adelaide |
The Syllabus
- Establish and use the algebraic properties of exponential functions
- Recognise the qualitative features of the graph of exponentials including asymptotes
- Identify contexts suitable for modelling with exponential functions and use them to solve practical problems.
- Recognise and use the inverse relationship between logarithms and exponentials
- Establish and use algebraic properties of logarithms
- Interpret and use logarithmic scales
- Recognise qualitative features of the graph of y=a(x) (with a>1) including asymptotes, and more generally y=a(x+c)+b.
- Identify contexts suitable for modelling with logarithmic functions and use them to solve practical problems (algebraically, graphically, and with technology).
- Understand the unit circle definition of sin, cos and tan using radians and recognise the exact values at integer multiples of pi/6 and pi/4
- Recognise the graphs of y=cos(x), y=sin(x), y=tan(x) and identify key elements of their graphs
- Describe amplitude, period and phase changes of sin, cos and tan, and graphs of y=asin(bx+c)+d, y=acos(bx+c)+d, y=a tan(bx+c)+d
- Prove and apply common trigonometric identities including angle sum and angle difference identities
- Identify contexts suitable for modelling with trigonometric functions and use them to solve practical problems.
- Recognise the shape of the graph of a reciprocal function
- Recognise the shape of the graph of an absolute value function
- Apply the properties of absolute values, and use them to solve equations.
- Describe the effect of performing the absolute value on an existing function
- There is a timed exam.
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31 Aug'25, 03:44 PM
17 Jun'25, 10:59 AM
28 Feb'24, 08:51 AM
28 Feb'24, 07:16 AM