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Algebra and Trigonometry: Linear Functions

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Understanding Linear Functions and the Different Mathematical Operations Related to Them

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Current price: $10
Original price: $100
Discount:
90% off

30-Day Money-Back Guarantee

- 8 hours on-demand video
- 1 Article
- Full lifetime access
- Access on mobile and TV

- Certificate of Completion

What Will I Learn?

- have a strong foundation and understanding of Linear Functions

Requirements

- Algebra and Trigonometry: Functions
- You should have a computer connected to the Internet having a working browser.

Description

This course teaches you all the important underlying concepts in Linear functions in mathematics. The knowledge that you gain here can be further completed in our next courses towards a complete mastery of calculus.

This course covers the following topics:

- Linear Functions
- Modeling with Linear Functions
- Fitting Linear Functions to Data (Statistics)

As described above, this course can also be taken in combination with our other courses in this course series. If you're interested in learning mathematics with us all the way up to calculus, please read our "Mathematics" page on "Greatitcourses" website (a Google search will get you there).

Who is the target audience?

- Anyone who wants to build a strong foundation of mathematics for any reason.
- Anyone who wants to build a successful career in mathematics, engineering, science, etc.

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Curriculum For This Course

60 Lectures

07:54:56
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4.0 - Course General Information
6 Lectures
21:45

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4.1 - Linear Functions
37 Lectures
04:56:17

In this lecture, we'll understand the concept behind linear functions through a simple salary example.

Preview
12:27

p280 - In this lecture, you'll learn the concept of linear functions through a simple train example and learn how to represent the function through tables, graphs and equations.

Preview
14:23

p282, e1 - In this lecture, we'll discuss the important points you need to be able to understand when you read an equation and their meaning like the slope of a line.

Preview
14:47

p282 - In this lecture, we'll discuss increasing, decreasing and constant functions and all of their characteristics.

Preview
10:34

p283, e2 - In this lecture, we learn the concept of increasing, decreasing and constant functions through a practical typical example.

Increasing, Deceasing and Constant Functions - Example

09:38

p283, In this lecture, we'll learn the concept of the slope of a line and how to calculate it.

Calculating the Slope of a Line - Part 1

15:01

p283, In this lecture, we'll learn the concept of the slope of a line and how to calculate it.

Calculating the Slope of a Line - Part 2

13:08

p284, e3 - In this lecture, we'll find the slope of linear function. Two points on the graph of the function are given.

Finding the Slope of a Linear Function - Example

08:30

p285, e4

Finding the Population Change From a Linear Function - Example

07:46

p285

Writing and Interpreting the Equation for a Linear Function - Concept

13:09

p285

Writing and Interpreting the Equation for a Linear Function - Example

04:36

p286, e5

Writing an Equation for a Linear Function - Example

08:43

p287, e6

Writing an Equation for a Linear Cost Function - Example

07:10

p287, e7

Writing an Equation for a Linear Function Given Two Points - Example

08:34

p288, e8

Linear Function - Example

09:14

p289, e9

Using a Linear Function to Calculate Salary Based on Commission - Example

12:41

p289, e10

Using a Tabular Form to Write an Equation for a Linear Function - Example

06:37

p290

Graphing a Function by Plotting Points

04:12

p291

Graphing a Function Using the y-intercept and Slope

12:38

p292

Vertical Stretch or Compression of y=x - Part 1

14:13

p293

Vertical Stretch or Compression of y=x - Part 2

04:06

p293, e13

Graphing by Using Transformation

06:58

p294

Writing the Equation for a Function from the Graph of a Line

05:49

p295, e14

Matching Linear Functions to their Graphs - Example

03:17

p296

Finding the x-intercept of a function

05:46

p296, e15

Finding an x-intercept - Example

01:43

p297

Describing Horizontal and Vertical Lines

06:21

p298, e16, e17

Writing the Equation of Horizontal and Vertical Lines - Example

02:16

p298

Parallel and Perpendicular Lines

13:23

p299, e18

Identifying Parallel and Perpendicular Lines - Example

04:38

p300

Writing Equations of Parallel Lines

04:58

p300, e19

Finding a Line Parallel to a Given Line - Example

03:07

p301

Writing Equations of Perpendicular Lines

08:05

p302, e20

Finding the Equation of a Perpendicular Line - Example

03:39

p302, ti9

Finding the Equation of Perpendicular and Parallel Lines - Example

03:58

p303, e21

Finding the Equation of Perpendicular Lines - Example

04:37

p303, ti10

Finding the Equation of Perpendicular Lines - Example

05:35

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–

4.2 - Modeling with Linear Functions
8 Lectures
01:34:00

p309

Modeling with Linear Functions - Introduction

05:56

p309

Building Linear Models from Verbal Descriptions

11:56

p310

Building Linear Models given the y-intercept and Slope of Function

09:12

p311

Using a Linear Model to Investigate a Town's Population - Example

14:49

p312, e2

Using a Diagram to Model Distance Walked - Example

13:24

p314, e3

Using a Diagram to Model Distance Between Cities - Example

13:58

p315

Modeling a Set of Data with Linear Functions (System of Equations)

12:32

p316, e4

Building a System of Linear Models to Choose a Truck Rental Company - Example

12:13

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4.3 - Fitting Linear Models to Data
9 Lectures
01:02:54

Fitting Linear Models to Data - Introduction

04:38

p322

Scatter Plots

06:15

p323

Finding the Line of Best Fit

06:54

p324

Interpolation and Extrapolation

07:37

p324, e3

Understanding Interpolation and Extrapolation - Example

06:12

p325

The Line of Best Fit Using Graphing Utility - Least Squares Regression

07:08

p327

Correlation Coefficient - Distinguishing Between Linear and Non-linear Models

08:50

p327, e5

Finding a Correlation Coefficient - Example

04:20

p327

Fitting a Regression Line to a Set of Data

11:00

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