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Jane Wall

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.

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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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What's inside

Syllabus

Functions and Algebra Review
Review of algebra concepts including functions and logarithms
Induction Proofs, Limits and Continuity
Simple induction proofs and limits at infinity for functions
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Definition of a Derivative
What is a derivative? Calculate simple derivatives from the definition of a derivative.
Product and Chain Rule
Use the product and chain rules to calculate the derivatives of more complicated functions.
Using Derivatives to Graph Functions
Use where derivatives are positive and negative to help graph a function.
Finding Maximums and Minimums
Use derivatives to find the maximum and minimum values of functions.

Good to know

Know what's good
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Teaches fundamental Calculus without unnecessary proofs and techniques
Designed for learners lacking math background, particularly for Data Science career

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Algebra and Differential Calculus for Data Science with these activities:
Review Calculus Textbook
Review the concepts of Calculus and Algebra that are necessary for success in this course.
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  • Review the chapters on functions and algebra.
  • Review the chapters on limits and continuity.
  • Review the chapters on derivatives.
Watch Video Lectures on Calculus
Reinforce your understanding of Calculus concepts by watching video lectures.
Browse courses on Calculus
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  • Find video lectures online or on platforms like YouTube.
  • Watch the lectures and take notes.
  • Review the lectures and try to understand the concepts.
Find a Calculus Tutor or Mentor
Connect with a mentor who can provide guidance and support in your Calculus learning journey.
Browse courses on Calculus
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  • Reach out to your professor or TAs.
  • Ask classmates for recommendations.
  • Search for tutors or mentors online.
Five other activities
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Practice Differentiation Problems
Solve differentiation problems to reinforce your understanding of derivatives.
Browse courses on Derivatives
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  • Find practice problems online or in textbooks.
  • Solve the problems and check your answers.
  • Review the problems you got wrong and try to understand why you made mistakes.
Join a Study Group
Discuss Calculus concepts and work on problems with other students.
Browse courses on Derivatives
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  • Find a study group or create one with your classmates.
  • Meet regularly to discuss the course material.
  • Work on problems together and help each other understand the concepts.
Build a Data Visualization Project
Apply your Calculus knowledge to a real-world problem by building a data visualization project.
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  • Choose a dataset and a question you want to answer.
  • Clean and prepare the data.
  • Use Calculus concepts to analyze the data.
  • Create visualizations to present your findings.
Write a Blog Post on Calculus Concepts
Reinforce your understanding of Calculus concepts by writing a blog post explaining them to others.
Browse courses on Calculus
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  • Choose a Calculus concept to write about.
  • Research the concept and gather information.
  • Write a blog post explaining the concept in a clear and concise way.
  • Publish your blog post online.
Contribute to Open-Source Calculus Projects
Gain practical experience and contribute to the Calculus community by contributing to open-source projects.
Browse courses on Calculus
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  • Find open-source Calculus projects on platforms like GitHub.
  • Identify areas where you can contribute.
  • Fork the project and make your changes.
  • Submit a pull request to the project.

Career center

Learners who complete Algebra and Differential Calculus for Data Science will develop knowledge and skills that may be useful to these careers:
Machine Learning Engineer
Machine Learning Engineers build and maintain machine learning models that can be used to automate tasks, make predictions, and improve decision-making. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with machine learning algorithms.
Quantitative Analyst
Quantitative Analysts develop and use mathematical and statistical models to analyze financial data and make investment decisions. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with financial data.
Actuary
Actuaries use mathematical and statistical methods to assess risk and uncertainty. They develop and use models to predict future events and make recommendations about how to manage risk. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with actuarial models.
Data Scientist
Data Scientists use scientific methods, processes, algorithms, and systems to extract knowledge and insights from data in various forms, both structured and unstructured. They develop and build models to analyze and solve complex problems, and they communicate the results of their work to a wide range of audiences.
Operations Research Analyst
Operations Research Analysts use mathematical and analytical methods to solve problems in a variety of industries, including manufacturing, transportation, and healthcare. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with operations research models.
Statistician
Statisticians collect, analyze, interpret, and present data. They use statistical methods to develop and test hypotheses, and they make inferences about populations based on samples. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with statistical data.
Cloud Engineer
Cloud Engineers design, build, and maintain cloud computing systems. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with cloud computing systems.
Market Researcher
Market Researchers collect, analyze, and interpret data to understand consumer behavior and trends. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with market research data.
Big Data Engineer
Big Data Engineers design, build, and maintain big data systems that can handle large volumes of data. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with big data systems.
Data Architect
Data Architects design, build, and maintain data systems. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with data systems.
Data Analyst
Data Analysts collect, clean, and analyze data to help businesses make informed decisions. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with data.
Financial Analyst
Financial Analysts use financial data to make investment recommendations and provide advice to businesses and individuals. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with financial data.
Data Engineer
Data Engineers build and maintain data pipelines that collect, clean, and process data. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with data pipelines.
Business Intelligence Analyst
Business Intelligence Analysts collect, analyze, and interpret data to help businesses make better decisions. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with data.
Software Engineer
Software Engineers design, develop, and maintain software applications. This course can help you develop the skills necessary to succeed in this role by providing you with a strong foundation in algebra and differential calculus, which are essential for understanding and working with software algorithms and data structures.

Reading list

We've selected 11 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Algebra and Differential Calculus for Data Science.
Provides a comprehensive overview of the mathematical concepts used in machine learning. It valuable resource for students who want to learn more about the mathematical foundations of data science.
Provides an accessible introduction to the concepts of probability. It valuable resource for students who need to understand probability for data science.
Provides a comprehensive overview of linear algebra. It valuable resource for students who need to understand linear algebra for data science.
Provides a comprehensive overview of numerical analysis. It valuable resource for students who need to understand numerical analysis for data science.
Provides a practical overview of data mining techniques. It valuable resource for students who want to learn more about the practical applications of data science.
Provides a practical overview of data science techniques. It valuable resource for students who want to learn more about the practical applications of data science.
Provides a comprehensive overview of statistical learning methods. It valuable resource for students who want to learn more about the mathematical foundations of data science.
Provides a comprehensive overview of pattern recognition and machine learning methods. It valuable resource for students who want to learn more about the mathematical foundations of data science.
Provides a comprehensive overview of deep learning methods. It valuable resource for students who want to learn more about the mathematical foundations of data science.

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