Curated Video
Comparing Linear and Exponential Growth Patterns for Long-Term Results
In this lesson, students will learn how to determine which of two growing quantities will exceed the other in the long run by classifying the growth patterns as linear or exponential. They will understand that linear growth involves...
Brian McLogan
Solving exponential growth model problems
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
Master Graphing Logarithmic equations with reflections then determine the domain and range
Master Graphing Logarithmic equations with reflections then determine the domain and range
Brian McLogan
Solving Exponential equations
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Curated Video
Determining Percentage Rate of Change
In this video, the teacher explains how to determine the percent rate of change using exponential models. They review compound interest and linear functions, and then go on to discuss exponential growth and depreciation.
Brian McLogan
Pre-Calculus - How to Evaluate an Expression with a Natural Logarithms
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
How to solve exponential equations
👉 Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as a single term. Then, we express the single...
Brian McLogan
Basic properties of logarithms
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
What are exponential functions
👉 Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as a single term. Then, we express the single...
Curated Video
Writing and Graphing Exponential Functions in Real Life Scenarios
In this video, the teacher explains how to calculate and graph exponential functions using real-life scenarios. They provide examples of calculating the population of bacteria over time and the height of a bouncing baseball. The teacher...
Brian McLogan
Learn to find the number of years it takes to reach an amount with compound interest
Learn about compound interest. We will look at how to determine the final value, initial value, interest rate and years needed. We will investigate problems compounded continuously, daily, weekly, monthly, quarterly and yearly. These...
Brian McLogan
Calculus Unit 4 Sum and Difference of definite integrals
Calculus Unit 4 Sum and Difference of definite integrals
Curated Video
Exponential Growth and Its Limits: Understanding the Problem with Unlimited Growth
This video is a presentation on exponential growth and the limits that are eventually reached. The presenter uses the example of a farmer who receives rice grains starting from 1 and doubling every day to demonstrate how exponential...
Curated Video
Comparing Linear, Exponential and Quadratic Functions
This lesson will cover the patterns of linear, exponential and quadratic functions and review how to determine what type a function from a table of values. We will also review how to write a function rule/equation for a pattern from a...
Brian McLogan
What are the properties of logarithms
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Let's Tute
Understanding the Order of Operators in Microsoft Excel (PEMDAS)
This is a tutorial on understanding the order of mathematical operators in Excel, following the PEMDAS rule (parenthesis, exponentiation, multiplication and division, addition and subtraction). The video provides examples and emphasizes...
Brian McLogan
Solve an equation to factor by converting to exponential
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Curated Video
Understanding Radioactive Decay and Half-Life
In this video, students learn about radioactive decay and how to solve half-life models. The teacher explains the concepts using examples and equations, demonstrating how to calculate the time it takes for a substance to decay to half...
Fun Robotics
Summary and Project [Unsupervised Learning and Clustering, User-defined Functions in Python, Modules in Python]
Summarize the class and explain the class project
Curated Video
Understanding Compound Interest
In this video, students learn about compound interest and how it can help them make money without doing anything. The lesson explains the difference between simple and compound interest, and provides a step-by-step guide on how to...
Curated Video
Introduction to Evaluating Logarithms Using Exponentials
In this video, the teacher explains the concept of inverses in functions and focuses on exponential and logarithmic functions. They discuss how the x and y values switch in inverse functions and demonstrate the reflection of graphs over...
Curated Video
Doctor opens up about treating COVID-19 patients
Dr. Tasleem Nimjee talks about testing, PPE, and the risks of working with patients with COVID-19
Press Association
Ian Hogarth speaks at opening day of AI Safety Summit at Bletchley Park
Chair of the UK Government's AI Foundation Model Taskforce, Ian Hogarth, speaks at the opening day of the AI Safety Summit at Bletchley Park.
Getty Images
Animation of population growth graph with world map
Animation of population growth graph with world map