Introduction to Calculus 1: Differentiation

by


Learn the basic methods of differential calculus

Why take this course?

🌟 Introduction to Calculus 1: Differentiation – Your Gateway to Mastering Derivatives 🌟

HOW THIS COURSE WORKS:

Dive into the world of differential calculus with “Introduction to Calculus 1: Differentiation” tailored by Gina Chou. This comprehensive course is designed to equip you with a solid foundation in derivatives, providing you with all the tools necessary to excel in Calculus 1. You’ll gain access to video lectures, whiteboard notes, and practice problems complete with solutions. Every concept is broken down step-by-step to ensure clarity and understanding.


Get Instant Notification of New Courses on our Telegram channel.

Noteβž› Make sure your π”ππžπ¦π² cart has only this course you're going to enroll it now, Remove all other courses from the π”ππžπ¦π² cart before Enrolling!

The course is meticulously structured into five key sections:

  1. Introduction – Setting the stage for your calculus journey.
  2. Review: Precalculus, Limits, and Continuity – A refresher on essential precalculus concepts.
  3. Differentiation – Mastering derivative rules and techniques.
  4. Derivatives of Transcendental Functions – Learning how to differentiate trigonometric, exponential, and logarithmic functions.
  5. Conclusion – Summarizing the key takeaways from the course.

CONTENT YOU WILL GET INSIDE EACH SECTION:

  • Videos: Engaging and clear explanations to introduce each concept, demonstrating problem-solving techniques with a variety of examples.
  • Notes: Comprehensive notes from the lectures, perfect for reviewing and studying even when offline. Remember to take your own notes too!
  • Extra Notes: Additional resources such as formula sheets and study guidance to support your learning journey.
  • Assignments: Real-world problems that challenge you to apply what you’ve learned. Don’t forget to check the solutions afterward to ensure you understand every step.

THINGS THAT ARE INCLUDED IN THE COURSE:

  • An Instructor Who Cares: Gina Chou is dedicated to your success and will guide you through each concept with passion and expertise.
  • Lifetime Access: Once enrolled, you have unlimited access to the course material for as long as you need it.
  • Friendly Support: A Q&A section where you can ask questions and receive support from both Gina and your fellow students.
  • Udemy Certificate of Completion: Showcase your newfound skills with a downloadable certificate to add to your professional portfolio.

EXTRA BONUSES IN THE COURSE:

  • Downloadable Lectures: Watch the videos anytime, anywhere, without needing an internet connection.
  • Lecture Notes & Extra Notes: Downloadable resources that include comprehensive lecture notes and essential formula sheets for quick reference.
  • Precalculus, Limits, and Continuity Review: A bonus section to ensure you’re ready for the calculus material.
  • Nine Assignments with Solutions: A total of nine assignments are provided throughout the course to reinforce your learning experience (assignments 1-6 in this introductory course).
  • Problem-Solving Guide: Step-by-step guidance to help you tackle problems effectively.
  • Two Bonus Lectures: Insightful lectures on the applications of derivatives to give you a broader understanding of their real-world applications.

See you inside the course!

Embark on your calculus adventure with “Introduction to Calculus 1: Differentiation” and let Gina Chou be your personal guide on this mathematical expedition. With her unwavering support, lifetime access to the course material, and a community of peers at your disposal, you’re set up for success. πŸš€

  • Gina Chou πŸ™‚
Add-On Information:

    • Discover the fundamental concepts that underpin modern science and engineering, transforming static descriptions into dynamic analyses of change. This course serves as an essential stepping stone for advanced studies in various STEM disciplines.
    • Unravel the mysteries of rates of change, slopes of curves, and optimization problems. You’ll gain crucial mathematical tools for understanding and modeling the world around us, from physics to economics.
    • Master the rigorous definition of a derivative, understanding its geometric interpretation as the slope of a tangent line and its physical meaning as an instantaneous rate of change.
    • Learn the powerful rules of differentiation, including the power rule, product rule, quotient rule, and the indispensable chain rule. These tools enable efficient calculation of derivatives for complex functions.
    • Explore implicit differentiation, a vital technique for finding derivatives of equations where variables are not explicitly separated, broadening your problem-solving capabilities.
    • Grasp the concept of higher-order derivatives, understanding how the second derivative reveals concavity and points of inflection, providing deeper insights into function behavior.
    • Apply differentiation techniques to solve real-world optimization problems, such as maximizing profit, minimizing cost, or finding the most efficient design parameters.
    • Utilize related rates problems to model scenarios where multiple quantities are changing with respect to time, like a balloon expanding or water draining from a tank.
    • Understand how derivatives are used in curve sketching to accurately plot functions, identify critical points, local maxima/minima, and inflection points for a comprehensive visual understanding.
    • Investigate L’HΓ΄pital’s Rule for evaluating indeterminate forms of limits, a powerful technique that simplifies otherwise complex limit calculations.
    • Delve into Newton’s Method, an iterative algorithm that uses derivatives to approximate the roots of a real-valued function, showcasing a practical computational application.
    • Develop rigorous analytical and problem-solving skills, learning to approach complex mathematical challenges systematically and logically. You will enhance your critical thinking by interpreting the meaning of derivatives in various contexts.
    • PROS:
    • Provides an indispensable gateway to all higher-level mathematics, science, and engineering fields, foundational for future academic and professional success.
    • Cultivates strong analytical and logical reasoning abilities, enhancing problem-solving skills applicable far beyond academic settings.
    • Offers practical tools for modeling and solving real-world problems involving change, rates, and optimization in diverse industries.
    • Taught with a focus on conceptual understanding alongside computational mastery, ensuring a deep and lasting grasp of calculus principles.
    • Boosts confidence in tackling complex quantitative subjects, setting a solid intellectual foundation.
  • CONS:
  • Requires a consistent commitment to practice, a strong work ethic, and a willingness to engage with abstract concepts, which can be challenging for those preferring less rigorous mathematical exploration.
English
language
Enroll for Free