Algebra and Trigonometry: Linear Functions
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Algebra and Trigonometry: Linear Functions

Understanding Linear Functions and the Different Mathematical Operations Related to Them
4.0 (1 rating)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
795 students enrolled
Created by Great IT Courses
Last updated 6/2017
English
Current price: $12 Original price: $100 Discount: 88% off
4 days left at this price!
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Includes:
  • 8 hours on-demand video
  • 1 Article
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion

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What Will I Learn?
  • have a strong foundation and understanding of Linear Functions
View Curriculum
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.
Compare to Other Algebra Courses
Curriculum For This Course
60 Lectures
07:54:56
+
4.0 - Course General Information
6 Lectures 21:45
+
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
+
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
+
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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