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MathTrackX: Polynomials, Functions and Graphs
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
- Distinguish between integers, rational numbers and real numbers
- Simplify expressions involving integers, fractions and/or real numbers
- Apply basic rules of arithmetic to solve problems (both theoretical and practical in nature) involving integers, fractions and/or real numbers
- Demonstrate use of the four basic inequalities to manipulate and solve simple problems.
- Identify and plot points in the coordinate plane
- Understand a function as something that takes a number as input and returns another number as output
- Determine the slope and y-intercept of a linear relationship based on its equation
- Plot the graph of a linear function
- Determine the linear function corresponding to a given graph of a line in the coordinate plane
- Solve linear equations in the context of both theoretical and practical problems.
- Identify a polynomial and determine its basic properties
- Solve problems of a theoretical or practical nature involving quadratics
- Graph polynomials and identify basic properties from their graphs including the location of roots, turning points and points of inflection
- Perform simple manipulation of polynomials with degree greater than two and solve problems involving special cases that can be reduced to solving a quadratic.
- Understand the concept of a function and be able to identify when a given relation constitutes a valid function
- Understand and be able to identify the domain and range of functions, either from their definition or from a graph
- Be able to identify fundamental properties of a function from its graph (including its sign, where it is increasing or decreasing, etc.)
- Understand the concept of continuity and be able to identify whether a function is continuous
- Be able to construct functions via the sum, multiplication and/or composition of existing functions.
- 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