Johns Hopkins University
Precalculus: Relations and Functions
Johns Hopkins University

Precalculus: Relations and Functions

This course is part of Precalculus through Data and Modelling Specialization

Taught in English

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Joseph W. Cutrone, PhD

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14,603 already enrolled

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Course

Gain insight into a topic and learn the fundamentals

4.7

(194 reviews)

Beginner level

Recommended experience

11 hours (approximately)
Flexible schedule
Learn at your own pace

What you'll learn

  • Model data with both single and multivariable functions

  • Visualize and analyze data using different technologies.

  • Understand properties of different types of functions to apply them accordingly to model different situations.

  • Perform vector operations, such as addition, scalar multiplication, dot product, and cross product, to analyze geometry in space.

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Assessments

9 quizzes

Course

Gain insight into a topic and learn the fundamentals

4.7

(194 reviews)

Beginner level

Recommended experience

11 hours (approximately)
Flexible schedule
Learn at your own pace

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This course is part of the Precalculus through Data and Modelling Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
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There are 4 modules in this course

Functions help to study the relationship between two or more variables. They are the basic quantitative tool used to visualize, analyze, and interpret these relationships. Studying functions is the first step in developing analytics skills for mathematical modeling. In this module, we develop the concept of a function and review important algebraic operations on functions used later in this course. We will also study the important features, like domain, range, and end behavior of graphs.

What's included

3 videos3 readings2 quizzes

In this module, we will study two common types of functions: linear and quadratic. We will learn how to identify common features of their graphs, and see how they can be used to model real world situations, particularly those involving revenue and cost. We will also further explore function compositions, and learn how to find the inverse of a function.

What's included

5 videos2 readings3 quizzes

In this module, we expand our catalog of functions to study two new functions that arise when modelling natural phenomena: the exponential and logarithmic functions. In the last module, we saw that one-to-one functions have inverses, which reverse the function process. For example, the function f(x) = x^3 has as its inverse the function g(x) = x^(1/3). We now want to expand this process to find inverses for exponential functions - those of the form f(x) = a^x, where a is a positive number not equal to one.

What's included

3 videos2 readings2 quizzes

Understanding the logarithm as an exponent allows for important algebraic properties of the logarithm. In this module, we will explore these properties and their uses as we apply logarithms to real world examples.

What's included

1 video1 reading2 quizzes

Instructor

Instructor ratings
4.8 (88 ratings)
Joseph W. Cutrone, PhD

Top Instructor

Johns Hopkins University
20 Courses457,819 learners

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Recommended if you're interested in Math and Logic

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4.7

194 reviews

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LA
4

Reviewed on Jul 16, 2021

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5

Reviewed on Jul 16, 2024

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5

Reviewed on Apr 1, 2021

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