Common scenario: You try to get into machine learning and data science, but there's SO MUCH MATH.
Either you never studied this math, or you studied it so long ago you've forgotten it all.
What do you do?
Well my friends, that is why I created this course.
Calculus is one of the most important math prerequisites for machine learning. It's required to understand probability and statistics, which form the foundation of data science. Backpropagation, the learning algorithm behind deep learning and neural networks, is really just calculus with a fancy name.
Read more
Common scenario: You try to get into machine learning and data science, but there's SO MUCH MATH.
Either you never studied this math, or you studied it so long ago you've forgotten it all.
What do you do?
Well my friends, that is why I created this course.
Calculus is one of the most important math prerequisites for machine learning. It's required to understand probability and statistics, which form the foundation of data science. Backpropagation, the learning algorithm behind deep learning and neural networks, is really just calculus with a fancy name.
Common scenario: You try to get into machine learning and data science, but there's SO MUCH MATH.
Either you never studied this math, or you studied it so long ago you've forgotten it all.
What do you do?
Well my friends, that is why I created this course.
Calculus is one of the most important math prerequisites for machine learning. It's required to understand probability and statistics, which form the foundation of data science. Backpropagation, the learning algorithm behind deep learning and neural networks, is really just calculus with a fancy name.
If you want to do machine learning beyond just copying library code from blogs and tutorials, you must know calculus.
Normally, calculus is split into 3 courses, which takes about 1.5 years to complete.
Luckily, I've refined these teachings into just the essentials, so that you can learn everything you need to know on the scale of hours instead of years.
This course will cover Calculus 1 (limits, derivatives, and the most important derivative rules), Calculus 2 (integration), and Calculus 3 (vector calculus). It will even include machine learning-focused material you wouldn't normally see in a regular college course. We will even demonstrate many of the concepts in this course using the Python programming language (don't worry, you don't need to know Python for this course). In other words, instead of the dry old college version of calculus, this course takes just the most practical and impactful topics, and provides you with skills directly applicable to machine learning and data science, so you can start applying them today.
Are you ready?
Let's go.
Suggested prerequisites:
Firm understanding of high school math (functions, algebra, trigonometry)
Here's a deal for you
UDEAFNULP2024
What's inside
Learning objectives
- Limits, limit definition of derivative, derivatives from first principles
- Derivative rules (chain rule, product rule, quotient rule, implicit differentiation)
- Integration, area under curve, fundamental theorem of calculus
- Vector calculus, partial derivatives, gradient, jacobian, hessian, steepest ascent
- Optimize (maximize or minimize) a function
- L'hopital's rule
- Newton's method
- Limits, limit definition of derivative, derivatives from first principles
- Derivative rules (chain rule, product rule, quotient rule, implicit differentiation)
- Integration, area under curve, fundamental theorem of calculus
- Vector calculus, partial derivatives, gradient, jacobian, hessian, steepest ascent
- Optimize (maximize or minimize) a function
- L'hopital's rule
- Newton's method
Syllabus
Introduction and Outline
Introduction
Outline
How to Succeed in this Course
Read more
Syllabus
Good to know
Save this course
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Activities
Khan Academy Calculus
Show steps
Complement your classroom learning with interactive tutorials and videos from Khan Academy, providing additional support and reinforcing key concepts.
Browse courses on
Calculus
Show steps
-
Visit the Khan Academy Calculus section.
-
Watch videos and complete exercises on topics covered in class.
-
Use the practice questions to test your understanding.
Read 'Essential Calculus: Early Transcendentals'
Show steps
Build a solid foundation in the fundamentals of calculus, covering essential concepts like limits, derivatives, and integrals, which will aid in understanding the course content and applications in machine learning.
View
Student Solutions Manual, Chapters 1-11 for...
on Amazon
Show steps
-
Read Chapter 1 and 2 to review functions and limits.
-
Complete the practice problems at the end of each section.
-
Review the key concepts and formulas discussed in class.
Calculus Mind Map
Show steps
Create a visual representation of calculus concepts, connecting different topics and improving your overall understanding and retention.
Browse courses on
Calculus
Show steps
-
Start with the main concepts of calculus.
-
Draw branches for related subtopics and definitions.
-
Add examples and applications to illustrate each concept.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Study Group
Show steps
Form a study group with classmates to discuss course material, work on problems together, and provide mutual support, enhancing your learning experience.
Show steps
-
Find a group of classmates who are interested in forming a study group.
-
Decide on a regular meeting time and place.
-
Prepare for each meeting by reviewing the material and identifying areas for discussion.
Calculus Practice Problems
Show steps
Sharpen your problem-solving skills and deepen your understanding of calculus concepts through regular practice, improving your ability to apply them in machine learning applications.
Browse courses on
Calculus
Show steps
-
Find practice problems online or in textbooks.
-
Solve the problems and check your answers.
-
Review your incorrect answers to identify areas for improvement.
Calculus in Python
Show steps
Apply your understanding of calculus concepts by implementing them in Python, solidifying your grasp of derivatives, integrals, and optimization.
Browse courses on
Calculus
Show steps
-
Choose a project idea that involves applying calculus concepts.
-
Create a Python script to implement your project.
-
Test and debug your code to ensure accurate results.
Calculus Workshop
Show steps
Attend a workshop led by an expert to engage in hands-on exercises, ask questions, and deepen your understanding of complex calculus topics.
Browse courses on
Calculus
Show steps
-
Find and register for a calculus workshop in your area.
-
Attend the workshop and actively participate in the exercises.
-
Follow up with the instructor if you have any questions.
Contribute to Open Source Calculus Projects
Show steps
Engage with the open-source community by contributing to calculus-related projects, deepening your understanding of the subject and building practical skills.
Browse courses on
Calculus
Show steps
-
Find open-source calculus projects on platforms like GitHub.
-
Identify an area where you can contribute, such as bug fixes or documentation improvements.
-
Submit a pull request with your contributions and engage in discussions with the project maintainers.
Khan Academy Calculus
Show steps
Complement your classroom learning with interactive tutorials and videos from Khan Academy, providing additional support and reinforcing key concepts.
Browse courses on
Calculus
Show steps
- Visit the Khan Academy Calculus section.
- Watch videos and complete exercises on topics covered in class.
- Use the practice questions to test your understanding.
Read 'Essential Calculus: Early Transcendentals'
Show steps
Build a solid foundation in the fundamentals of calculus, covering essential concepts like limits, derivatives, and integrals, which will aid in understanding the course content and applications in machine learning.
View
Student Solutions Manual, Chapters 1-11 for...
on Amazon
Show steps
- Read Chapter 1 and 2 to review functions and limits.
- Complete the practice problems at the end of each section.
- Review the key concepts and formulas discussed in class.
Calculus Mind Map
Show steps
Create a visual representation of calculus concepts, connecting different topics and improving your overall understanding and retention.
Browse courses on
Calculus
Show steps
- Start with the main concepts of calculus.
- Draw branches for related subtopics and definitions.
- Add examples and applications to illustrate each concept.
Study Group
Show steps
Form a study group with classmates to discuss course material, work on problems together, and provide mutual support, enhancing your learning experience.
Show steps
- Find a group of classmates who are interested in forming a study group.
- Decide on a regular meeting time and place.
- Prepare for each meeting by reviewing the material and identifying areas for discussion.
Calculus Practice Problems
Show steps
Sharpen your problem-solving skills and deepen your understanding of calculus concepts through regular practice, improving your ability to apply them in machine learning applications.
Browse courses on
Calculus
Show steps
- Find practice problems online or in textbooks.
- Solve the problems and check your answers.
- Review your incorrect answers to identify areas for improvement.
Calculus in Python
Show steps
Apply your understanding of calculus concepts by implementing them in Python, solidifying your grasp of derivatives, integrals, and optimization.
Browse courses on
Calculus
Show steps
- Choose a project idea that involves applying calculus concepts.
- Create a Python script to implement your project.
- Test and debug your code to ensure accurate results.
Calculus Workshop
Show steps
Attend a workshop led by an expert to engage in hands-on exercises, ask questions, and deepen your understanding of complex calculus topics.
Browse courses on
Calculus
Show steps
- Find and register for a calculus workshop in your area.
- Attend the workshop and actively participate in the exercises.
- Follow up with the instructor if you have any questions.
Contribute to Open Source Calculus Projects
Show steps
Engage with the open-source community by contributing to calculus-related projects, deepening your understanding of the subject and building practical skills.
Browse courses on
Calculus
Show steps
- Find open-source calculus projects on platforms like GitHub.
- Identify an area where you can contribute, such as bug fixes or documentation improvements.
- Submit a pull request with your contributions and engage in discussions with the project maintainers.
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