Are you interested in Data Science but lack the math background for it? Has math always been a tough subject that you tend to avoid? This course will teach you the most fundamental Calculus concepts that you will need for a career in Data Science without a ton of unnecessary proofs and techniques that you may never use.
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Consider this an expressway to Data Science with approachable methods and friendly concepts that will guide you to truly understanding the most important ideas in Differential Calculus. We will review some algebra basics, talk about what a derivative is, compute some simple derivatives and apply the basics of derivatives to graphing and maximizing functions.
This course is designed to prepare learners to successfully complete Statistical Modeling for Data Science Application, which is part of CU Boulder's Master of Science in Data Science (MS-DS) program.
What You Will Learn
- Practice working with logarithm properties and how logarithm functions behave graphically.
- Identify the difference between a continuous and non-continuous function.
- Solidify an understanding of what a derivative is calculating.
- Understand how to use derivatives to create graphs of functions.
Syllabus
WEEK 1
Functions and Algebra Review
Review of algebra concepts including functions and logarithms
WEEK 2
Induction Proofs, Limits and Continuity
Simple induction proofs and limits at infinity for functions
WEEK 3
Definition of a Derivative
What is a derivative? Calculate simple derivatives from the definition of a derivative.
WEEK 4
Product and Chain Rule
Use the product and chain rules to calculate the derivatives of more complicated functions.
WEEK 5
Using Derivatives to Graph Functions
Use where derivatives are positive and negative to help graph a function.
WEEK 6
Finding Maximums and Minimums
Use derivatives to find the maximum and minimum values of functions.
