Introduction to Calculus 1: Differentiation
What you'll learn
- Find limits of functions (graphically, numerically and algebraically)
- Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions
- Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation
- Find higher order derivatives
Requirements
- Precalculus (algebra, trigonometry, and functions)
- Familiarity with limits and continuity
Description
HOW THIS COURSE WORK:
This course, Introduction to Calculus 1: Differentiation, has everything you need to know about derivatives in Calculus 1, including video, notes from whiteboard during lectures, and practice problems (with solutions!). I also show every single step in examples and theorems. The course is organized into the following sections:
Introduction
Review: Precalculus, Limits, and Continuity
Differentiation (derivative rules and techniques)
Derivatives of Transcendental Functions (trig., exp., log.)
Conclusion
CONTENT YOU WILL GET INSIDE EACH SECTION:
Videos: I start each topic by introducing and explaining the concept. I share all my solving-problem techniques using examples. I show a variety of math issue you may encounter in class and make sure you can solve any problem by yourself.
Notes: In each section, you will find my notes as downloadable resource that I wrote during lectures. So you can review the notes even when you don't have internet access (but I encourage you to take your own notes while taking the course!).
Extra notes: I provide some extra notes, including formula sheets and some other useful study guidance.
Assignments: After you watch me doing some examples, now it's your turn to solve the problems! Be honest and do the practice problems before you check the solutions! If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.
THINGS THAT ARE INCLUDED IN THE COURSE:
An instructor who truly cares about your success
Lifetime access to Introduction to Calculus 1: Differentiation
Friendly support in the Q&A section
Udemy Certificate of Completion available for download
BONUS #1: Downloadable lectures so you can watch whenever and wherever you are.
BONUS #2: Downloadable lecture notes and some extra notes (i.e. formula sheet) so you can review the lectures without having a device to watch/listen.
BONUS #3: The review section on precalculus, limits, and continuity.
BONUS #4: Nine assignments with solutions for Calculus 1 in total that make you productive while taking the course. (assignments 1-6 are available for this introductory course)
BONUS #5: Step-by-step guide to help you solve problems.
BONUS #6: Two bonus lectures on the applications of derivatives.
See you inside the course!
- Gina :)
Who this course is for:
- Anyone who has completed precalculus (algebra and trigonometry) and wants to learn some more advanced math (i.e. calculus)
- Current calculus students who are looking for extra help on differentiation
- Anyone who is not in science stream but wants to study calculus for fun
Instructor
- 4.6 Instructor Rating
- 295 Reviews
- 24,066 Students
- 22 Courses
During my undergraduate years, I always looked forward to exams because I was well-prepared and found them rewarding. I know this isn’t the case for everyone, so I'm here to share my knowledge and help make your university journey a bit easier!
A bit about me:
I earned my BSc in Atmospheric Science and Physics, with a minor in Mathematics, from McGill University in 2018. I then completed my MSc in 2019 and my PhD in 2024, both in Physics at the University of Toronto. My research focuses on the impact of wind observations on global predictability, Arctic climate, and weather processes.
Since my second year of undergrad, I’ve gained extensive tutoring experience, working with students at Liberty Tutoring, supporting high school and university students through SUS Peer Tutoring and Saturday Programs, and working with private students both in person and online. I also served as a teaching assistant for math and physics courses at both the undergraduate and graduate levels from 2017 to 2024.
I look forward to seeing you in class!
Gina C.