College Math Essentials: Logarithms
4.6 (46 ratings)
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College Math Essentials: Logarithms

The mysteries of logarithms revealed!
4.6 (46 ratings)
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.
278 students enrolled
Created by Dr Sarada Herke
Last updated 9/2015
English
Current price: $10 Original price: $35 Discount: 71% off
1 day left at this price!
30-Day Money-Back Guarantee
Includes:
  • 2.5 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • calculate any logarithm with ease
  • apply logarithm rules like a wizz
  • solve exponential equations using logarithms
  • solve logarithmic equations using exponents
  • graph exponential and logarithmic functions
  • take your new-found knowledge to the next level with real-life applications of logarithms
View Curriculum
Requirements
  • Some basic high school level mathematics will be assumed, such as the use of variables, order of operations, the meaning of an exponent and graphing in the x-y plane.
Description

This course is designed for college/university students who want to learn logarithms or just need a refresher. No previous knowledge of logarithms is assumed, so this course is also great for high school students who are just starting the topic. Logarithms are a key concept for any precalculus or calculus student to master.

By taking this course, you will be able to calculate any logarithm with ease, use logarithm rules like a wizz and solve exponential and logarithmic equations in your sleep!

Who is the target audience?
  • This course is designed for college/university students who need a refresher on logarithms. No previous knowledge of logarithms is assumed, so this course is also great for high school students who are just starting the topic. Logarithms are a key concept for any precalculus or calculus student to master.
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Curriculum For This Course
26 Lectures
02:29:40
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Getting Started
4 Lectures 16:52

Learn the definition of a logarithm and how to convert between logarithmic form and exponential form.

Preview 04:03

Learn how to evaluate a logarithm by converting the question to an exponent question.

Evaluating Logarithms
04:49

Learn four important properties of logarithms and why they are true.

Preview 03:47

Practice examples using the definition of a logarithm and their important properties.

Practice Examples
04:13

Test your understanding of the definition of a logarithm and the properties of logarithms.

Log Essentials
3 questions
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Rules are Rules
4 Lectures 18:43

Understand and prove the rule for the log of a product. Learn how it is put to use in practice.

Preview 05:27

Understand and prove the rule for the log of a quotient. Learn how it is put to use in practice.

Log of a Quotient
04:09

Understand and prove the rule for the log of a power. Learn how it is put to use in practice.

Log of a Power
03:48

Put the three log rules to practice and understand how to avoid the common misconceptions of these rules.

Practice Examples
05:19

Test your understanding of the three logarithm rules discussed in this section.

Log Rules
3 questions
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Bases Matter
4 Lectures 20:50

Learn what the change of base rule says, how to memorize it and prove why it is true.

Change of Base Rule
05:37

Discover what the number e means and learn the notation for one of the most-used logarithms: the natural logarithm.

The Natural Logarithm
05:24

Be able use your calculator to find the logarithm of any positive number in any base!

Calculate Any Logarithm
04:43

Practice examples using the change of base rule, the natural logarithm, and calculating logarithms using the change of base rule to convert to base 10 or base e.

Practice Examples
05:06

Test your understanding of the change of base rule and the natural logarithm.

Log Bases
2 questions
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Let's Graph It!
5 Lectures 40:45

Understand the domain and range of a given function.

Domain and Range of Functions
04:35

Learn how to graph a function which has been transformed by: being vertically or horizontally shifted, vertically or horizontally stretched or shrunk, or reflected in the x-axis or y-axis.

Graphing Transformations of Functions
07:48

Understand what makes a function one-to-one and how to check for this using the horizontal line test. Learn what the inverse function is and how to visualize it graphically.

Inverse Functions and Their Graphs
09:42

Learn the general shape and behaviour of an exponential function so that you can graph transformations of these functions with ease.

Graphs of Exponential Functions
08:23

Learn the general shape and behaviour of a logarithmic function so that you can graph transformations of these functions with ease. Understand the graphical relationship between a logarithmic function and an exponential function.

Graphs of Logarithmic Functions
10:17

Test your understanding of the graphs of exponential and logarithmic functions.

Exponential and Logarithmic Graphs
3 questions
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Master Logarithms
5 Lectures 34:49

Learn how to solve an exponential equation by using either the one-to-one property of exponential functions or by following 3 simple steps which make use of logarithms.

How to Solve Exponential Equations
07:56

Learn how to handle more advanced exponential equations.

Solving More Advanced Exponential Equations
05:38

Practice solving exponential equations.

Practice Examples
09:25

Learn how to solve a logarithmic equation by using either the one-to-one property of logarithmic functions or by following 3 simple steps which make use of exponents.

How to Solve Logarithmic Equations
06:08

Practice solving logarithmic equations.

Practice Examples
05:42

Test your understanding of how to solve exponential and logarithmic equations.

Mastery
4 questions
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Logs in Real Life
4 Lectures 17:41

Understand three common uses of a logarithmic scale in daily life: the pH scale, the decibel scale and the Richter scale.

Real Life Applications: Log Scales
05:51

Given an equation for one variable in terms logarithmic or exponential equation of a second variable, be able to solve for the second variable in terms of the first.

Exponential and Logarithmic Relationships
04:54

Use logarithms to solve exponential equations related to compound interest.

Application of Logs in Finance
04:22

Review what you have learned in this course and think about where to go from here.

Review and Final Tips
02:34

Test your understanding of how to apply logarithms in real life.

Apply your Skills
3 questions
About the Instructor
Dr Sarada Herke
4.6 Average rating
46 Reviews
278 Students
1 Course
Math PhD, Researcher and University Instructor

I have a PhD in mathematics from The University of Queensland and I'm currently a Postdoctoral Research Fellow in the field of graph theory and combinatorics.   I also have a BSc and a MSc in mathematics from The University of Victoria.  As an aside, I have a black belt in Shotokan karate :)

I've tutored and taught mathematics at university.  The thing I love the most about teaching math is when students who thought they couldn't do math come to me and say that they can understand it now and they also ENJOY it. It's great to share my enthusiasm for math with others.