Learn the basic methods of differential calculus
Why take this course?
π Introduction to Calculus 1: Differentiation – Your Gateway to Mastering Derivatives π
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.
The course is meticulously structured into five key sections:
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- Introduction – Setting the stage for your calculus journey.
- Review: Precalculus, Limits, and Continuity – A refresher on essential precalculus concepts.
- Differentiation – Mastering derivative rules and techniques.
- Derivatives of Transcendental Functions – Learning how to differentiate trigonometric, exponential, and logarithmic functions.
- 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. π
- Gina Chou π
Add-On Information:
- Unlock the Language of Change: Grasp how differentiation describes motion, growth, and transformation, providing a fundamental tool for analyzing dynamic systems across science and engineering.
- Master Limits & Continuity: Understand limits as the bedrock of calculus, defining continuity and the instantaneous rate of change that forms the heart of every derivative.
- Acquire Core Differentiation Techniques: Learn and apply essential rules like the power rule, product rule, quotient rule, and the indispensable chain rule, forming your primary calculus toolkit.
- Differentiate Complex & Transcendental Functions: Extend your skills to implicitly defined functions and those involving trigonometry, exponentials, and logarithms, tackling a broader range of mathematical challenges.
- Solve Optimization & Related Rates Problems: Utilize derivatives to find maximum/minimum values (optimization) and model interdependent changing quantities (related rates) for real-world problem-solving in various fields.
- Analyze Function Behavior Deeply: Employ first and second derivatives to thoroughly sketch graphs, identifying local extrema, intervals of increase/decrease, concavity, and inflection points.
- Bridge Theory to Practical Applications: See differentiation in action across physics (velocity/acceleration), economics (marginal analysis), and various sciences, highlighting its immense real-world utility and relevance.
- Develop Robust Analytical Skills: Cultivate a rigorous approach to quantitative problems, fostering critical thinking, precise problem-solving, and logical reasoning vital for academic and career success.
- Lay a Strong Mathematical Foundation: Build a comprehensive understanding of differential calculus, essential preparation for advanced mathematics courses (e.g., integral calculus) and specialized STEM fields.
- PROS:
- Essential for STEM & Beyond: Provides foundational knowledge critical for degrees and careers in science, technology, engineering, mathematics, and fields requiring quantitative analysis.
- Sharpens Analytical Thinking: Develops advanced problem-solving, critical thinking, and logical reasoning skills, transferable to countless academic and professional challenges.
- Empowers Quantitative Modeling: Equips you with tools to understand and create mathematical models of real-world phenomena, from physical systems to financial markets.
- CONS:
- Demands Consistent Effort: The conceptual depth and procedural complexity require regular engagement, practice, and a willingness to grapple with challenging ideas for mastery.
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