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There are 6 modules in this course
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. 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.
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Review of algebra concepts including functions and logarithms
What's included
9 videos1 reading9 assignments
Show info about module content
9 videos•Total 40 minutes
What is a Function? (Algebraically and Graphically)•5 minutes
Domain and Range•4 minutes
Piecewise Functions•5 minutes
What Can You Do to a Function?•4 minutes
Multiplying Binomials•5 minutes
Rationalizing Denominators•3 minutes
Exponent Rules•5 minutes
Logarithms•6 minutes
Applications of Logarithms•4 minutes
1 reading•Total 1 minute
Course Updates and Accessibility Support•1 minute
9 assignments•Total 155 minutes
Functions Quiz•30 minutes
Domain and Range Quiz•15 minutes
Piecewise Functions Quiz•15 minutes
Performing function operations•10 minutes
Multiplying Binomials Quiz•10 minutes
Rationalizing Denominators Quiz•15 minutes
Exponent Rules Quiz•15 minutes
Applications of Logarithms•15 minutes
Logarithms Quiz•30 minutes
Induction Proofs, Limits and Continuity
Module 2•1 hour to complete
Module details
Simple induction proofs and limits at infinity for functions
What's included
4 videos4 assignments
Show info about module content
4 videos•Total 18 minutes
Proof by Induction•7 minutes
Limits at Infinity•4 minutes
Limits at a Specific Point•4 minutes
Continuity of a Function•3 minutes
4 assignments•Total 40 minutes
Proof by Induction Quiz•10 minutes
Limits at Infinity Quiz•10 minutes
Limits at a Specific Point Quiz•5 minutes
Continuity of a Function Quiz•15 minutes
Definition of a Derivative
Module 3•1 hour to complete
Module details
What is a derivative? Calculate simple derivatives from the definition of a derivative.
What's included
4 videos4 assignments
Show info about module content
4 videos•Total 17 minutes
Intro to Derivatives•4 minutes
Derivative of a Simple Function•6 minutes
Derivative of an Exponential Function•5 minutes
Derivative of a Constant•2 minutes
4 assignments•Total 25 minutes
Derivative Concept Check•5 minutes
Simple Polynomial Function Quiz•10 minutes
Derivative of an Exponential Function Quiz•5 minutes
Derivative of a Constant Quiz•5 minutes
Product and Chain Rule
Module 4•1 hour to complete
Module details
Use the product and chain rules to calculate the derivatives of more complicated functions.
What's included
4 videos3 assignments
Show info about module content
4 videos•Total 17 minutes
Product Rule Part 1•4 minutes
Product Rule Part 2•1 minute
Quotient Rule•4 minutes
Chain Rule•8 minutes
3 assignments•Total 50 minutes
Product Rule Quiz•10 minutes
Quotient Rule Quiz•10 minutes
Chain Rule Quiz•30 minutes
Using Derivatives to Graph Functions
Module 5•1 hour to complete
Module details
Use where derivatives are positive and negative to help graph a function.
What's included
4 videos4 assignments
Show info about module content
4 videos•Total 20 minutes
Using the Derivative to Graph Functions•5 minutes
Finding Concavity with the Second Derivative•3 minutes
Comparing the Graphs of f(x) and f’(x)•4 minutes
Graphing Functions - A More Complicated Example•9 minutes
4 assignments•Total 65 minutes
Using the Derivative to Graph Functions Quiz•15 minutes
Finding Concavity with the Second Derivative Quiz•15 minutes
Comparing the Graphs of f(x) and f'(x) Quiz•20 minutes
Graphing Functions - A More Complicated Example Quiz•15 minutes
Finding Maximums and Minimums
Module 6•1 hour to complete
Module details
Use derivatives to find the maximum and minimum values of functions.
What's included
4 videos1 assignment
Show info about module content
4 videos•Total 18 minutes
Maxima and Minima of Functions •4 minutes
Applications of Maxima and Minima •6 minutes
Graphing Using Maxima and Minima •4 minutes
Rate of Change•4 minutes
1 assignment•Total 15 minutes
Finding Maximums and Minimums Quiz•15 minutes
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Taking this course by University of Colorado Boulder may provide you with a preview of the topics, materials and instructors in a related degree program which can help you decide if the topic or university is right for you.
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Prepare for a degree
Taking this course by University of Colorado Boulder may provide you with a preview of the topics, materials and instructors in a related degree program which can help you decide if the topic or university is right for you.
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Learner reviews
4.6
265 reviews
5 stars
74.71%
4 stars
15.47%
3 stars
4.52%
2 stars
1.50%
1 star
3.77%
Showing 3 of 265
S
ST
5·
Reviewed on Aug 25, 2022
Excellent course for students who want to refresh their memory of calculus and simple algebra before diving into more complicated concepts. It really helped me. Thanks
J
JR
5·
Reviewed on Aug 10, 2023
Good course. Teacher had problems with keeping equations and graphs in viewing area.
A
AL
5·
Reviewed on Nov 18, 2022
This course is a little brief; however, it could serve as an excellent refresher to someone who hasn't taken Calculus 1 for a while.
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What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.