Johns Hopkins University
Algebra: Elementary to Advanced - Equations & Inequalities
Johns Hopkins University

Algebra: Elementary to Advanced - Equations & Inequalities

This course is part of Algebra: Elementary to Advanced Specialization

Taught in English

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Joseph W. Cutrone, PhD

Top Instructor

35,322 already enrolled

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Course

Gain insight into a topic and learn the fundamentals

4.8

(471 reviews)

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96%

Beginner level
No prior experience required
10 hours (approximately)
Flexible schedule
Learn at your own pace

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Assessments

9 quizzes

Course

Gain insight into a topic and learn the fundamentals

4.8

(471 reviews)

|

96%

Beginner level
No prior experience required
10 hours (approximately)
Flexible schedule
Learn at your own pace

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This course is part of the Algebra: Elementary to Advanced Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
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There are 5 modules in this course

Georg Cantor was a famous mathematician who formalized the notion of set theory, which had a profound impact on research and teaching. Sets and the relations between them for a basis for teaching the concept of the structure of Real numbers. Starting with the concept of a natural number, {1,2,3,...} the whole numbers, integers, rationals, and real numbers are developed, as well as operations defined on them. Properties of the real numbers are formalized and applied as well.

What's included

2 videos5 readings2 quizzes

A linear relationship between two variables occurs when there is a constant increase or constant decrease in one variable with respect to the other. Linear equations have the property that any change in the independent variable results in a proportional change in the dependent variable. Many physical situations can be modelled using a linear relationship. When data is visualized on a scatterplot, we often are interested in the line of best fit or the regression line. Linear equations occur frequently in all mathematics and their applications in physics and engineering, partly because non-linear systems are often well approximated by linear equations.

What's included

3 videos5 readings2 quizzes

The relative position of two points on a coordinate line is used to define an inequality relationship on the set of real numbers. We say that a is less than b, written a<b, when the real number a lies to the left of the real number b on the coordinate line. From this definition, other inequalities naturally follow.

What's included

2 videos4 readings2 quizzes

Recall that a single linear equation in two variables is an equation of the form Ax + By = C, where A and B are both nonzero real constants. There are infinitely may ordered pairs that satisfy a single linear equation. In applications however, we are often interested in finding a single ordered pair that satisfies a pair of linear equations. In this section, we discuss several methods for solving this problem.

What's included

2 videos4 readings2 quizzes

Congratulations on reaching the final exam! This final assessment will be cumulative in nature, covering all aspects of the course. Use this final as a teaching tool: justify what you know and identify areas for improvement. Use scrap paper as you take this final. Try to use any formula sheets or outside resources as a tool and not a crutch. Check your answers before you submit. After the test, review any incorrect answers to find your mistakes. Try to separate "silly" mistakes from the more substantial mistakes in understanding. Good luck!

What's included

1 quiz

Instructor

Instructor ratings
4.8 (206 ratings)
Joseph W. Cutrone, PhD

Top Instructor

Johns Hopkins University
20 Courses451,943 learners

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