Algebra coursework is a very difficult task if you are not Diaphanous, I.N. Herstein, R. Allenby, and Carl B. Boyer. As you may have already guessed, they are great algebraists. Are you one of them? If not, here are some coursework tips for you on how to write your algebra coursework.
 
First of all, you are to be ready to spend heaps of hours working with figures and functions. If they already are in the centre of your interest, you may safely sit down and begin writing your algebra coursework. I will only ask you to read this article first, because it can somehow be helpful to you.
 
Here are some topics, which you can choose for your algebra coursework:

• Arithmetic, that is counting, calculations, etc;
• Equation, that is a mathematical statement, which consists of figures;
• Polynomial, that is an equation, which consists of not only figures, but also of unknown quantities;
• Variable, that is a symbol used to denote some quantity;

Of course, there exist a lot of other topics, which you may dwell upon in your algebra coursework. The choice of topic is definitely up to you.
Algebra coursework, as any other coursework, should comprise the following parts:

• Introduction, where you introduce the topic of your algebra coursework and prove the necessity of your research;
• Next comes the body of your algebra coursework, here you give a close look at the problem and expand on it;
• The last point is the conclusion, where you describe what results you have achieved in your algebra courseworks.

Remember that if you are going to write an algebra coursework, it will take a lot of time and efforts. You should be attentive and naturally inventive in writing your algebra coursework.
 
Wish you good luck and become one of the greatest algebraists.