This course is part of the Precalculus through Data and Modelling Specialization

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stars
153 ratings

Joseph W. Cutrone, PhD

Top Instructor

9,962 already enrolled

Offered By

Precalculus through Data and Modelling SpecializationJohns Hopkins University

About this Course

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This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us.  This is done through studying functions, their properties, and applications to data analysis.  Concepts of precalculus provide the set of tools for the beginning student to begin their scientific career, preparing them for future science and calculus courses. This course is designed for all students, not just those interested in further mathematics courses.  Students interested in the natural sciences, computer sciences, psychology, sociology, or similar will genuinely benefit from this introductory course, applying the skills learned to their discipline to analyze and interpret their subject material.  Students will be presented with not only new ideas, but also new applications of an old subject. Real-life data, exercise sets, and regular assessments help to motivate and reinforce the content in this course, leading to learning and mastery.

Flexible deadlines

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Earn a Certificate upon completion

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Course 1 of 3 in the

Precalculus through Data and Modelling Specialization

Beginner Level

Some familiarity with algebraic expressions and function basics at the high school level.

Approx. 11 hours to complete

English

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What you will 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.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 1 of 3 in the

Precalculus through Data and Modelling Specialization

Beginner Level

Some familiarity with algebraic expressions and function basics at the high school level.

Approx. 11 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Instructor rating

4.82/5 (77 Ratings)

Joseph W. Cutrone, PhD
Top Instructor

Associate Teaching Professor and Director of Online Programs

Mathematics

54,837 Learners

16 Courses

Offered by

Johns Hopkins University

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Syllabus - What you will learn from this course

Week1

Week 1

3 hours to complete

Module 1: Basics and Common Functions

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.

3 hours to complete

3 videos (Total 46 min), 3 readings, 2 quizzes

Week2

Week 2

4 hours to complete

Module 2: Equations of Lines, Quadratics, and More Functions

4 hours to complete

5 videos (Total 82 min), 2 readings, 3 quizzes

Week3

Week 3

3 hours to complete

Module 3: Exponential and Logarithmic Functions

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.

3 hours to complete

3 videos (Total 53 min), 2 readings, 2 quizzes

Week4

Week 4

2 hours to complete

Module 4: Properties of Logarithms

2 hours to complete

1 video (Total 21 min), 1 reading, 2 quizzes

Reviews

4.6

44 reviews

5 stars
78.06%
4 stars
14.19%
3 stars
3.87%
2 stars
1.29%
1 star
2.58%

TOP REVIEWS FROM PRECALCULUS: RELATIONS AND FUNCTIONS

by PIJul 2, 2022

Challenging enough to keep the course interesting, and taught well enough that I feel I can handle every question.

by LZOct 30, 2020

It was an amazing course. I learned a lot. The lessons are not extremely long and have enough content to satisfy you.

by ACJun 18, 2021

Great course explained everything concisely. However the sample problems and test of week 1 had certain sums which were not covered in the video

by TDApr 1, 2021

It will be nice to see more applications of the the material.

View all reviews

About the Precalculus through Data and Modelling Specialization

This specialization helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the learner to begin their scientific career, preparing them for future science and calculus courses.

This specialization is designed for all learners, not just those interested in further mathematics courses. Those interested in the natural sciences, computer sciences, psychology, sociology, or similar will genuinely benefit from this introductory course, applying the skills learned to their discipline to analyze and interpret their subject material. Learners will be presented with not only new ideas, but also new applications of an old subject. Real-life data, exercise sets, and regular assessments help to motivate and reinforce the content in this course, leading to learning and mastery.

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

More questions? Visit the Learner Help Center.

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Precalculus: Relations and Functions

About this Course

What you will learn