Precalculus: the Mathematics of Numbers, Functions and Equations

Gain an awareness of the mathematical knowledge and skills required to take a first course in calculus, with the University of Padova's online course.

Duration

5 weeks

Weekly study

6 hours

100% online

How it works

Unlimited subscription

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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.

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