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Mat Leonard,
Andrew Paster,
Jennifer Staab,
Luis Serrano,
Juan Delgado,
Juno Lee,
Mike Yi,
Grant Sanderson,
and
Ortal Arel
Covers foundational topics in CalculusLearn the foundations of calculus to understand how to train a neural network: plotting, derivatives, the chain rule, and more. See how these mathematical skills visually come to life with a neural network example.
Register for this course and see more details by visiting:
OpenCourser.com/course/c5rncv/calculus
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What's inside
Syllabus
Calculus
Calculus in Neural Networks
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Introduces key calculus ideas needed for training neural networks, like plotting, derivatives, and the chain rule, and illustrates how these ideas apply
Taught by instructors experienced and recognized for their work in their fields
Covers the foundations of calculus, including plotting, derivatives, the chain rule, and more, as they apply to training neural networks
Not application or industry specific, so its value cannot be easily measured against the standards of other courses
The course does not include hands-on labs or interactive exercises
No prerequisites or prior knowledge of calculus are required, so learners may need to do some background study
Save this course
Save Calculus Essentials to your list so you can find it easily later:
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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 Calculus Essentials with these
activities:
Review Geometry
Show steps
Review knowledge of basic geometry concepts such as shape, angles, and properties to enhance comprehension of calculus topics.
Browse courses on
Geometry
Show steps
-
Review the definitions and properties of basic shapes (e.g., triangles, squares, circles).
-
Practice calculating angles, side lengths, and areas of different shapes.
Organize Course Materials
Show steps
Establish a well-organized system for course materials (notes, assignments, readings) to enhance accessibility, faciliter review, and improve study efficiency.
Show steps
-
Gather all relevant course materials (e.g., lecture notes, assignments, readings).
-
Create a structured filing system for easy retrieval.
-
Regularly review and update materials to ensure accuracy and completeness.
Join Calculus Study Groups
Show steps
Engage with fellow students in study sessions to discuss concepts, work on problems together, and enhance understanding through collaborative learning.
Show steps
-
Identify or form study groups with peers who share similar learning goals.
-
Establish regular meeting times and a dedicated study space.
-
Take turns presenting concepts, leading discussions, and solving problems.
Two other activities
Expand to see all activities and additional details
Show all five activities
Create Visual Calculus Notes
Show steps
Develop a visual representation of calculus concepts through mind maps, diagrams, or sketches to improve understanding and retention.
Browse courses on
Visual learning
Show steps
-
Identify key concepts and relationships within calculus.
-
Use visual elements (e.g., colors, shapes, arrows) to represent these concepts.
-
Connect ideas through diagrams or mind maps, highlighting relationships and dependencies.
Build a Calculus Resource Database
Show steps
Compile and organize a comprehensive collection of calculus resources (videos, articles, websites) to provide a valuable reference and support system.
Browse courses on
Resource Management
Show steps
-
Identify and gather relevant resources from various sources (e.g., textbooks, online platforms).
-
Categorize and annotate resources based on topic, difficulty level, and usefulness.
-
Create a central repository (e.g., online folder, spreadsheet) for easy access.
Review Geometry
Show steps
Review knowledge of basic geometry concepts such as shape, angles, and properties to enhance comprehension of calculus topics.
Browse courses on
Geometry
Show steps
Show steps
Show steps
- Review the definitions and properties of basic shapes (e.g., triangles, squares, circles).
- Practice calculating angles, side lengths, and areas of different shapes.
Organize Course Materials
Show steps
Establish a well-organized system for course materials (notes, assignments, readings) to enhance accessibility, faciliter review, and improve study efficiency.
Show steps
Show steps
Show steps
- Gather all relevant course materials (e.g., lecture notes, assignments, readings).
- Create a structured filing system for easy retrieval.
- Regularly review and update materials to ensure accuracy and completeness.
Join Calculus Study Groups
Show steps
Engage with fellow students in study sessions to discuss concepts, work on problems together, and enhance understanding through collaborative learning.
Show steps
Show steps
Show steps
- Identify or form study groups with peers who share similar learning goals.
- Establish regular meeting times and a dedicated study space.
- Take turns presenting concepts, leading discussions, and solving problems.
Two other activities
Expand to see all activities and additional details
Show all five activities
Create Visual Calculus Notes
Show steps
Develop a visual representation of calculus concepts through mind maps, diagrams, or sketches to improve understanding and retention.
Browse courses on
Visual learning
Show steps
Show steps
Show steps
- Identify key concepts and relationships within calculus.
- Use visual elements (e.g., colors, shapes, arrows) to represent these concepts.
- Connect ideas through diagrams or mind maps, highlighting relationships and dependencies.
Build a Calculus Resource Database
Show steps
Compile and organize a comprehensive collection of calculus resources (videos, articles, websites) to provide a valuable reference and support system.
Browse courses on
Resource Management
Show steps
Show steps
Show steps
- Identify and gather relevant resources from various sources (e.g., textbooks, online platforms).
- Categorize and annotate resources based on topic, difficulty level, and usefulness.
- Create a central repository (e.g., online folder, spreadsheet) for easy access.
Career center
Learners who complete Calculus Essentials will develop knowledge and skills
that may be useful to these careers:
Machine Learning Engineer
Machine Learning Engineer
Machine Learning Engineers design and build machine learning models to solve business problems. Calculus Essentials can help build a foundation for understanding the mathematical concepts and techniques used in machine learning, such as derivatives and the chain rule.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and statistical techniques to solve business problems. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in operations research, such as derivatives and the chain rule.
Market Researcher
Market Researcher
Market Researchers use mathematics and statistics to collect, analyze, and interpret data to understand consumer behavior. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in market research, such as derivatives and the chain rule.
Risk Analyst
Risk Analyst
Risk Analysts use mathematics and statistics to assess and manage risk. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in risk analysis, such as derivatives and the chain rule.
Product Manager
Product Manager
Product Managers use mathematics and statistics to develop and manage products. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in product management, such as derivatives and the chain rule.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts use mathematics and statistics to analyze financial data and make investment recommendations. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in quantitative analysis, such as derivatives and the chain rule.
Actuary
Actuary
Actuaries use mathematics and statistics to assess and manage risk. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in actuarial science, such as derivatives and the chain rule.
Data Scientist
Data Scientist
Data Scientists use their knowledge of mathematics and statistics to solve business problems. Calculus Essentials can help build a foundation for understanding the mathematical concepts and techniques used in data science, such as derivatives and the chain rule.
Software Engineer
Software Engineer
Software Engineers use mathematics and statistics to design and develop software. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in software engineering, such as derivatives and the chain rule.
Financial Analyst
Financial Analyst
Financial Analysts use mathematics and statistics to analyze financial data and make investment recommendations. Calculus Essentials can help build a foundation for the mathematical concepts and techniques used in financial analysis, such as derivatives and the chain rule.
Statistician
Statistician
Statisticians use mathematics and statistics to collect, analyze, and interpret data. Calculus Essentials may be useful to a Statistician by providing a foundation in mathematical concepts that are used in statistics, such as derivatives and the chain rule.
Biostatistician
Biostatistician
Biostatisticians use mathematics and statistics to analyze biological data. Calculus Essentials may be useful to a Biostatistician by providing a foundation in mathematical concepts that are used in biostatistics, such as derivatives and the chain rule.
Data Analyst
Data Analyst
Data Analysts are responsible for collecting and interpreting data to help businesses make informed decisions. Calculus Essentials may be useful to a Data Analyst by providing a foundation in mathematical concepts that are used in data analysis, such as derivatives and the chain rule.
Operations Manager
Operations Manager
Operations Managers use mathematics and statistics to optimize business operations. Calculus Essentials may be useful to an Operations Manager by providing a foundation in mathematical concepts that are used in operations management, such as derivatives and the chain rule.
Epidemiologist
Epidemiologist
Epidemiologists use mathematics and statistics to study the distribution and determinants of health-related states or events in specified populations. Calculus Essentials may be useful to an Epidemiologist by providing a foundation in mathematical concepts that are used in epidemiology, such as derivatives and the chain rule.
For more career information including salaries, visit:
OpenCourser.com/course/c5rncv/calculus
Reading list
We've selected eight 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
Calculus Essentials.
Provides a comprehensive introduction to calculus, covering topics such as limits, derivatives, integrals, and differential equations. It is commonly used as a textbook in calculus courses at academic institutions.
Provides a concise and rigorous introduction to calculus. It is particularly useful for those who are looking for a more challenging and in-depth treatment of calculus.
Save
Provides a comprehensive and accessible introduction to calculus. It is particularly useful for those who need a thorough understanding of calculus for further study or for professional purposes.
Provides a comprehensive and detailed review of calculus, covering all the major topics. It is particularly useful for those who are preparing for calculus-based courses in other disciplines or for standardized tests.
Provides a clear and concise introduction to calculus, making it accessible to a wide range of readers. It is particularly useful for those who need a refresher on calculus or who are new to the subject.
Provides a clear and concise introduction to calculus, with a focus on making the subject accessible to a wide range of readers. It is particularly useful for those who struggle with math or who need a refresher on calculus.
Save
Provides a unique and engaging introduction to calculus, using physical and intuitive examples to explain concepts. It is particularly useful for those who are looking for a more conceptual and less formal approach to calculus.
Save
Provides a clear and engaging introduction to calculus, using humor and simple language to explain concepts. It is particularly useful for those who are new to calculus or who need a refresher on the subject.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/c5rncv/calculus
Share
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Time
150 hours
Level
Introductory
Via
Udacity
Instructors
Mat Leonard
Andrew Paster
Jennifer Staab
Luis Serrano
Juan Delgado
Juno Lee
Mike Yi
Grant Sanderson
Ortal Arel
Language
English
Good to know
Introduces key calculus ideas needed for training neural networks, like plotting, derivatives, and the chain rule, and illustrates how these ideas apply
Taught by instructors experienced and recognized for their work in their fields
Covers the foundations of calculus, including plotting, derivatives, the chain rule, and more, as they apply to training neural networks
Not application or industry specific, so its value cannot be easily measured against the standards of other courses
The course does not include hands-on labs or interactive exercises
No prerequisites or prior knowledge of calculus are required, so learners may need to do some background study
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