### What will I learn?

The online algebra and calculus basics course (in its free or paid mode), Polynomials, Functions and Graphs, unravels the intricacies of this important part of mathematics and empowers you with the tools needed to tackle real-world problems, make informed decisions, and appreciate the elegance of mathematical structures. Polynomials are widely used in calculus, physics, engineering and many other disciplines. Functions, on the other hand, are the backbone of applied and theoretical mathematics, allowing us to describe how one quantity depends on another.

This course is appropriate for aspiring mathematicians, passionate about numbers, equations, and mathematical reasoning, but also for students, academics or professionals willing to expand their mathematics knowledge. The course assumes that you have some basic knowledge of mathematics. The course has a rigorous and didactic approach, which combines clear and simple explanations with examples and activities that will help you consolidate your learning. The course also offers you additional resources, such as readings, videos and links of interest, that you can consult to expand your knowledge and deepen the topics that interest you the most.

This course is available on the edX platform, one of the world’s most prestigious online education platforms, founded by MIT and Harvard University. It can be taken completely free of charge or for a small fee.

### Contents of the online algebra and calculus basics course, Polynomials, Functions and Graphs

The course covers the following topics:

**Polynomials**: You will learn how to identify, classify, and factor polynomials, as well as how to use the remainder and factor theorems, the rational root test, and the fundamental theorem of algebra.**Functions**: You will learn how to define, evaluate, and graph functions, as well as how to use function notation, domain and range, inverse functions, and composite functions.**Graphs**: You will learn how to analyze and sketch graphs of functions, as well as how to use transformations, asymptotes, intercepts, and end behavior.**Applications**: You will learn how to use polynomials and functions to model and solve problems involving motion, growth, decay, optimization, and curve fitting.

### Free or paid algebra and calculus basics course

The course has two modalities: free and paid. The free algebra and calculus basics course allows you to access all the content of the course, including the videos, the readings, the exercises and the discussion forums.

The paid modality also offers you the possibility of obtaining a verified certificate from edX, which accredits your participation and approval of the course. This certificate can be of great value for your curriculum vitae, as it demonstrates your interest and competence in the use of mathematics . In addition, by paying for the course, you will be contributing to the University of Adelaide and edX being able to continue offering quality and accessible courses for everyone. If you want to know more about the cost and benefits of this modality, I invite you to visit the course page on edX, where you will find all the information you need.

In conclusion, the online algebra and calculus basics course (in its free or paid mode), Polynomials, Functions and Graphs offers you an excellent opportunity to review the fundamentals and applications of mathematics. If you are interested in this topic, do not hesitate to register and start enjoying this course. I am sure you will not regret it.