University of Colorado Boulder - Algebra and Differential Calculus for Data Science
- Offered byCoursera
Algebra and Differential Calculus for Data Science at Coursera Overview
Duration | 8 hours |
Start from | Start Now |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Explore Free Course |
Credential | Certificate |
Algebra and Differential Calculus for Data Science at Coursera Highlights
- Earn a Certificate upon completion
Algebra and Differential Calculus for Data Science at Coursera Course details
- 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
- 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
Algebra and Differential Calculus for Data Science at Coursera Curriculum
Functions and Algebra Review
What is a Function? (Algebraically and Graphically)
Domain and Range
Piecewise Functions
What Can You Do to a Function?
Multiplying Binomials
Rationalizing Denominators
Exponent Rules
Logarithms
Applications of Logarithms
Functions Quiz
Domain and Range Quiz
Piecewise Functions Quiz
Performing function operations
Multiplying Binomials Quiz
Rationalizing Denominators Quiz
Exponent Rules Quiz
Logarithms Quiz
Applications of Logarithms
Induction Proofs, Limits and Continuity
Proof by Induction
Limits at Infinity
Limits at a Specific Point
Continuity of a Function
Proof by Induction Quiz
Limits at Infinity Quiz
Limits at a Specific Point Quiz
Continuity of a Function Quiz
Definition of a Derivative
Intro to Derivatives
Derivative of a Simple Function
Derivative of an Exponential Function
Derivative of a Constant
Derivative Concept Check
Simple Polynomial Function Quiz
Derivative of an Exponential Function Quiz
Derivative of a Constant Quiz
Product and Chain Rule
Product Rule Part 1
Product Rule Part 2
Quotient Rule
Chain Rule
Product Rule Quiz
Quotient Rule Quiz
Chain Rule Quiz
Using Derivatives to Graph Functions
Using the Derivative to Graph Functions
Finding Concavity with the Second Derivative
Comparing the Graphs of f(x) and f?(x)
Graphing Functions - A More Complicated Example
Using the Derivative to Graph Functions Quiz
Finding Concavity with the Second Derivative Quiz
Comparing the Graphs of f(x) and f'(x) Quiz
Graphing Functions - A More Complicated Example Quiz
Finding Maximums and Minimums
Maxima and Minima of Functions
Applications of Maxima and Minima
Graphing Using Maxima and Minima
Rate of Change
Finding Maximums and Minimums Quiz