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

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Precalculus: the Mathematics of Numbers, Functions and Equations
 at 
FutureLearn 
Overview

Duration

5 weeks

Total fee

2,763

Mode of learning

Online

Official Website

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Credential

Certificate

Precalculus: the Mathematics of Numbers, Functions and Equations
 at 
FutureLearn 
Highlights

  • Duration 5 weeks
  • Weekly study 6 hours
  • 100% online Learn at your own pace
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Precalculus: the Mathematics of Numbers, Functions and Equations
 at 
FutureLearn 
Course details

Skills you will learn
More about this course
  • 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.

Precalculus: the Mathematics of Numbers, Functions and Equations
 at 
FutureLearn 
Curriculum

Numbers

Presentation of the course

Integers

Rational numbers

Real numbers

Absolute value

An induction proof

It's quiz time!

Test yourself

Functions

The function concept

The graph of a function

Integer powers

Roots and radicals

Simplifying radicals

Rational powers

It's quiz time

Test yourself

Algebra

Polynomial and identities

Roots of polynomials

Quadratic polynomials

Polynomial division

Finding roots

Binomial coefficients

It's quiz time

Test yourself

Equations

Introduction: types of equations

Equivalence

Polynomial equations

Equations involving a radical

Equations with several radicals

Equations with absolute values

Equations in several variables

It's quiz time

Test yourself

Inequalities

General principles

The quadratic case

Polynomial inequalities

Inequalities with radicals

Inequalities with absolute values

Lines in the plane

Systems of linear inequalities

It's quiz time

Test yourself

Revision Test

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Precalculus: the Mathematics of Numbers, Functions and Equations
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