Precalculus: the Mathematics of Numbers, Functions and Equations

FutureLearn Precalculus: the Mathematics of Numbers, Functions and Equations

Platform
FutureLearn
Provider
University of Padova
Effort
6 hours/week
Length
5 weeks
Language
English
Cost
Free
Credentials
Paid Certificate Available
Course Link
Overview
Get an introduction to precalculus fundamentals
This course is the first of two precalculus courses from the University of Padova, providing you with an introduction to the fundamental mathematical skills required to complete a first course in calculus.

You’ll get familiar with the basic precalculus required for college or undergraduate-level studies, notably: factoring and division; sets and set operations; reasoning and proofs; functions and graphs; and equations and inequalities.

Through this course you’ll gain the foundation to support further mathematical studies, or improve your use of mathematics in everyday life.

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 a first course in calculus.

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.

Taught by
Francis Clarke & Team
Author
FutureLearn
Views
536
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