Maths With Dave/A Level Maths Mastery 3 - Exponentials and Logarithms

  • £40

A Level Maths Mastery 3 - Exponentials and Logarithms

  • Course
  • 21 Lessons

Here you'll find an extensive library of video lessons, worksheets (with detailed solutions provided), worked past papers, lesson notes and more. This topic is fundamental to success in A-Level maths, like all of your fundamental algebra.

Contents

The Fundamentals

In this section we will clearly define and understand what exponentials and logarithms actually are. You'll learn how to apply your understanding to solve problems within algebra and calculus, before we move on to modelling problems in the next section.

Intro to Logs and Exponentials
Exponentials and Logs Exercise 1.pdf
Exercise 1 Solutions
Differentiating exponentials - the natural base
Differentiation with Exponentials Quiz
Integrating with the Natural Base
Integrating with Exponentials Quiz
Algebra with the natural base
Algebra with the Natural Base Exercise
Solutions - algebra with the natural base
Calculus with Exponentials and Logs Exercise
Solutions - calculus with the exponential function

Modelling with Exponentials and Logarithms

Now that we've got the basics down, it's time to explore modelling questions. Here you'll need a problem-solving mindset (like all mathematical modelling problems!), but the basics that we learned in the last section are still the most important thing.

We'll also meet a modelling situation unique to logarithms - the idea of linearising data. This is a very cool, and widely used, technique that really takes advantage of the special properties of the log function.

Modelling with Exponential Functions - lesson
Modelling with exponentials - Exercise
Modelling with Exponentials - Solutions
Using Logs to Linearise Data
Using Logs to Linearise Data Exercise
Linearising Data - Solutions

Checkout Exercise and Solutions

As always, here's your checkout exercise. Feel free to review the lessons and examples in this course to help you, and go back and forth with the written solutions to figure the questions out.

Exponentials and Logarithms Checkout Exercise
Exponentials and Logarithms Checkout Exercise Solutions
Extension: The Change of Base Rule