Overview | |
---|---|

Level 0, 1, 2, 3, Master's and PhD level | |

Five 2-hour workshops |

Whether you need to refresh your algebra skills or build and develop on existing knowledge, we can help you achieve your goal. We have a comprehensive range of algebra workshops covering a variety of topics.You can choose which workshops to attend when you sign up:

### WORKSHOP ONE: Manipulating Mathematical Expressions

A** **mathematical expression** **refers to when numbers, operators and various symbols are grouped together to 'express' or 'show' the value of something. Once you understand the basic principles of manipulating expressions, you will easily be able to factorise and simplify a variety of different expressions. This workshop explores various ways of doing this by collecting like terms, expanding brackets, factorizing quadratic expressions and learning how to deal with algebraic fractions

**ONLINE VIA ZOOM**

Tuesday 31st January 2023, 11:00-13:00

**BAY CAMPUS**

Thursday 2nd February 2023, 11:00-13:00

**SINGLETON CAMPUS**

Wednesday 1st March 2023, 15:00-17:00

### WORKSHOP TWO: Exploring logarithms and exponentials

A knowledge of indices is essential for an understanding of most algebraic processes. In this workshop, we will learn about powers and rules for manipulating them. Further, we will explore logarithms and exponentials. A logarithm tells us how many of one number to multiply to get another number, therefore a logarithm actually gives you the exponent as its answer. Exponents and Logarithms work well together because they "undo" each other (so long as the base "a" is the same), as we will see in this workshop.

**ONLINE VIA ZOOM**

Tuesday 7th February 2023, 11:00-13:00

**BAY CAMPUS**

Thursday 9th February 2023, 11:00-13:00

**SINGLETON CAMPUS**

Wednesday 8th March 2023, 15:00-17:00

### WORKSHOP THREE: Resolution into partial fractions

Adding rational expressions and simplifying is relatively easy. However, going the other way round--expressing a single rational function as the sum of two or more simpler ones--is much more difficult. This reverse process is known as resolution into partial fractions. Partial fraction decomposition is a technique used to write a rational function as the sum of simpler rational expressions. This workshop teaches us how to handle partial fractions and denominators with repeated quadratic factors.

**ONLINE VIA ZOOM**

Tuesday 14th February 2023, 11:00-13:00

**BAY CAMPUS**

Thursday 16th February 2023, 11:00-13:00

**SINGLETON CAMPUS**

Wednesday 15th March 2023, 15:00-17:00

### WORKSHOP FOUR: Solving Quadratic Equations

A quadratic equation is a polynomial equation of degree 2. The ''U'' shaped graph of a quadratic is called a parabola. A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions. There are several methods we can use to solve a quadratic equation such as solution by factors, solution by completing the square and solution by formula which we will explore in this workshop.

### WORKSHOP FIVE: Composition of Functions

This workshop explores combining functions using algebraic operations, creating a new function by composition of functions, evaluating composite functions, finding the domain of a composite function, and decomposing a composite function into its component functions.

**ONLINE VIA ZOOM**

Tuesday 21st February 2023, 11:00-13:00

**BAY CAMPUS**

Thursday 23rd February 2023, 11:00-13:00

**SINGLETON CAMPUS**

Wednesday 22nd March 2023, 15:00-17:00

**ONLINE VIA ZOOM**

Tuesday 28th February 2023, 11:00-13:00

**BAY CAMPUS**

Thursday 2nd March 2023, 11:00-13:00

**SINGLETON CAMPUS**

Wednesday 29th March 2023, 15:00-17:00