Biology & Life Sciences Basics
Fundamental principles and concepts
HarvardX: Calculus Applied!
Apply tools of single-variable calculus to create and analyze mathematical models used by real practitioners in social, life, and physical sciences.
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Course Insight
Suitable for intermediate learners. Works well as a continuation after mastering Biology & Life Sciences fundamentals. It bridges the gap toward advanced, production-level engineering.
Intermediate FriendlySelf-Paced LearningHands-On Learning
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Quick Facts
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What You’ll Learn
- Authentic examples and case studies of how calculus is applied to problems in other fields.
- How to analyze mathematical models, including variables, constants, and parameters.
- Appreciation for the assumptions and complications that go into modeling real world situations with mathematics.
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Description
In this course, we go beyond the calculus textbook, working with practitioners in social, life and physical sciences to understand how calculus and mathematical models play a role in their work.
Through a series of case studies, you’ll learn:
How standardized test makers use functions to analyze the difficulty of test questions;
How economists model interaction of price and demand using rates of change, in a historical case of subway ridership;
How an x-ray is different from a CT-scan, and what this has to do with integrals;
How biologists use differential equation models to predict when populations will experience dramatic changes, such as extinction or outbreaks;
How the Lotka-Volterra predator-prey model was created to answer a biological puzzle;
How statisticians use functions to model data, like income distributions, and how integrals measure chance;
How Einstein’s Energy Equation, E=mc2 is an approximation to a more complicated equation.
With real practitioners as your guide, you’ll explore these situations in a hands-on way: looking at data and graphs, writing equations, doing calculus computations, and making educated guesses and predictions.
This course provides a unique supplement to a course in single-variable calculus. Key topics include application of derivatives, integrals and differential equations, mathematical models and parameters.
This course is for anyone who has completed or is currently taking a single-variable calculus course (differential and integral), at the high school (AP or IB) or college/university level. You will need to be familiar with the basics of derivatives, integrals, and differential equations, as well as functions involving polynomials, exponentials, and logarithms.
This is a course to learn applications of calculus to other fields, and NOT a course to learn the basics of calculus. Whether you’re a student who has just finished an Beginner Calculus course or a teacher looking for more authentic examples for your classroom, there is something for you to learn here, and we hope you’ll join us!
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