# Precalculus: the Mathematics of Numbers, Functions and Equations Course - University of Padova

### General

2 locations available

### Program Description Gain an introduction to the essential mathematical knowledge and skills required for your first calculus course.

## Get an introduction to precalculus fundamentals

This course is the first of two precalculus courses from the University of Padova that will provide you with an introduction to the fundamental mathematical skills required to complete your first course in calculus.

You will learn the basic precalculus required for college or undergraduate-level studies, including factoring and division, sets and set operations, reasoning and proofs, functions and graphs, and equations and inequalities.

On this online precalculus course, you will gain the foundation to support further mathematical studies and improve your use of maths in everyday life.

## What topics will you cover?

• Numbers: integers, rationals, real numbers, absolute value, induction.
• Functions: graphs, integer powers, roots and radicals, rational powers.
• Algebra: polynomials and their roots, quadratic polynomials, polynomial division, finding roots, binomial coefficients.
• Equations: types of equations, equivalence, polynomial equations, equations involving a radical, equations with several radicals/with absolute values, equations in several variables.
• Inequalities: linear and polynomial inequalities, inequalities involving radicals and absolute values.

## When would you like to start?

Most FutureLearn courses run multiple times. Every run of a course has a set start date but you can join it and work through it after it starts.

• Available now

## What will you achieve?

By the end of the course, you‘ll be able to:

• Describe the basic arithmetic of numbers, including absolute value and radicals.
• Identify the standard notation for sets and set operations.
• Explain the elements of mathematical reasoning and proofs.
• Classify the types of functions and their graphs.
• Solve polynomials: roots, factoring, and division.
• Solve equations and inequalities.

## Who is the course for?

This course is for anyone who wants to brush up on their basic mathematical skills, particularly students in the last year of high school, or at the beginning of undergraduate studies, who intend to take the first course in calculus.

## Who will you learn with?

 Francis Clarke I am a professor of mathematics at the University of Lyon. In previous lives, I have held tenured positions at the University of British Columbia and the University of Montreal. Carlo Mariconda I am a professor of mathematical analysis at the University of Padova. Among my interests: magic, tango, photography, innovative teaching, technology and e-learning. Alberto Tonolo I am a professor of algebra at the University of Padova and I teach at the science and engineering faculties. I like very much math and classical music. Valentina Franceschi I am a Postdoc researcher at Inria Paris. My research field is mainly sub-Riemannian geometry. Among my interests: photography, swimming and science communication. Francesco Mattiello I'm a mathematician expert in the fields of homological algebra and applied category theory. I'm also interested in photography, bike and powerlifting.

## Who developed the course?

The University of Padova is one of Europe’s oldest and most prestigious seats of learning; it aims to provide its students with both professional training and a solid cultural background.