Applications of Calculus
Harness the transformative power of calculus and find out how complex equations relate to everyday life with this online course from BoxPlay.
Duration
3 weeks
Weekly study
2 hours
100% online
How it works
Unlimited subscription
Learn more
Discover the real-world applications of calculus and find meaning in maths
On this three-week course, you’ll learn how to solve complex mathematical equations whilst exploring the impact calculus has on our daily lives. You’ll investigate limits, derivatives, and integrals, addressing areas of calculus that learners often find most difficult.
Explore key concepts in calculus, guided by experts from leading universities
On this course from BoxPlay, you’ll encounter quirky characters and fun animations, whilst engaging with content developed with maths experts from leading universities including Imperial College London and the Universities of Oxford and Cambridge, preparing you for further study at the very highest level.
Learn how calculus can help solve problems from the every day to the extraordinary
From designing video games, to building rockets, to monitoring endangered animal populations, calculus is used in all kinds of STEM careers.
Using engaging videos and relatable scenarios, you’ll explore rules of differentiation, mean value theorem, and how to use derivatives to analyse graphs. You’ll also delve into the applications of integrals, discovering how they are used in innovative creations and futuristic projects.
Improve your knowledge of advanced mathematics and prepare for a career in STEM
You’ll discover how calculus is used by scientists to unravel the mysteries of the universe, learning how to calculate limits of functions, predict and explain behaviour using graphs, and explain asymptotic and unbounded behaviour.
Using this knowledge, you’ll be able to find unknown values even when they are infinite, giving you insights into the everyday work of a rocket scientist.
By the end of this course, you’ll have furthered your knowledge of the great calculus, understanding key concepts and their real-world applications in our ever-changing world.
Week 1
Derivatives
Introduction to derivatives
A brief introduction to the course and to the topics that we will cover in the first week: derivates and the key principles that relate to them.
What are derivatives?
Here we will take a look at the definition of derivates and what they are used for in the real world.
Acceleration, optimization, and rates
Here we take a look at how derivatives can be used to evaluate acceleration, optimization, and related rates.
Mean value, tangents, and differential equations
In this activity we will take a deeper look at derivatives by exploring the mean value theorem, how derivatives relate to tangent lines, and a first look at differential equations.
Rules, higher order derivatives, and graphing
Now it's time to consolidate our learning about derivatives and push the boundaries even further by looking at the rules of differentiation, higher order derivatives and graphing functions.
Differential equations and the chain rule
In this final activity of the week, we'll take a more in-depth look at two concepts that we've touched on already: differential equations and the chain rule.
Week 2
Integrals
Introduction to integrals
First, we'll look at what integrals are and how they are used.
Rules of integration
Now that you know the basics of integrals, it's time to take a more thorough look at the rules related to integration.
Sums and slicing
Now that you have a solid foundation of how to approach resolving integral equations, let's take a look at Riemann sums and calculating volume by slicing.
Averages and discontinuity
In the final activity on integrals, we'll take a look at how to find the average value of a function and how to handle functions that are discontinuous.
Week 3
Limits
Introduction to limits
To begin, we'll look at a definition of what limits are as well as a few basic types of limits.
Limits and infinity
This activity will take a look at how limits work when infinity is involved.
Beyond limits
This final activity on limits will delve into some more complex ideas, such as continuity, limits that do not exist, and discrete functions.
Test and wrap-up
In this final activity, you will complete the final test and complete the course.
More courses you might like
Learners who joined this course have also enjoyed these courses.
