Precalculus: the Mathematics of Numbers, Functions and Equations
Gain an introduction to the essential mathematical knowledge and skills required for your first calculus course
Affiliate disclosure: if you enroll through links on this page, the course provider may pay us a commission. This comes at no extra cost to you and does not influence how we describe courses.
What You'll Learn in This Course
Master key concepts and practical skills through structured learning modules. By completing this curriculum, you'll gain valuable expertise applicable to real-world scenarios.
Learning Outcome 1
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.
Learning Outcome 2
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.
Learning Outcome 3
On this online precalculus course, you will gain the foundation to support further mathematical studies and improve your use of maths in everyday life.
Skills You'll Develop
This comprehensive Precalculus: the Mathematics of Numbers, Functions and Equations curriculum is designed to take you from foundational concepts to advanced implementation. Each module builds upon the previous, ensuring a structured learning path that maximizes knowledge retention and practical application.
Course Requirements & Target Audience
Understand what you need to succeed in this course and determine if it's the right fit for your learning goals
Prerequisites & Requirements
What you need before starting this Precalculus: the Mathematics of Numbers, Functions and Equations course:
- 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
Who This Course Is For
This course is perfect for:
- Motivated learners at any level
- Self-paced students
- Anyone interested in the subject
This course might not be suitable if:
- • You're looking for a quick tutorial rather than comprehensive learning
- • You prefer learning without structured curriculum
- • You need highly specialized or niche content
Course Information & Details
Everything you need to know about this online course, from duration to certification
Subject Category
Science, Engineering & Maths, Maths
Part of our Science, Engineering & Maths, Maths curriculum
Course Language
English
All materials in English
Start Your Learning Journey Today
This online course offers comprehensive training with expert instruction, practical exercises, and a certificate of completion. Join thousands of students advancing their careers through quality online education.
Course Enrollment
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What's Included
- 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.
Affiliate disclosure: if you enroll through links on this page, the course provider may pay us a commission. This comes at no extra cost to you and does not influence how we describe courses.
- ✓Instant access after enrollment
- ✓Learn at your own pace
- ✓Direct enrollment with University of Padova
Where this course fits
Wider context: the fields we cover, the glossary and certification exams, all written by us rather than pulled from a provider feed.