• Post category:StudyBullet-17
  • Reading time:6 mins read

Introduction to Calculus 1: Differentiation
Learn the basic methods of differential calculus

What you will 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

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:


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  • 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 πŸ™‚

English
language

Content

Introduction

Overview
Welcome and How It Works
Tips to Maximize Your Learning

Review

What’s in this Review Section
Algebra
Functions: Graphing
Function: Domain and Range
Functions: Asymptotes
Functions: Composition Functions
Functions: Inverse Functions
Limits and Continuity

Differentiation

Downloadable Notes
Secant and Tangent Lines
Definition of Derivative Function
Power Rule
Derivative Notation
Constant Multiple Rule
Sum and Difference Rules
Product Rule
Quotient Rule
Differentiability
Normal Line
Higher Derivatives
Chain Rule
Implicit Differentiation
Example: Implicit Differentiation

Derivatives of Transcendental Functions

Downloadable Notes
Review on Trigonometric Functions
Derivatives of Trigonometric Functions
Examples: Derivatives of Trigonometric Functions
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
Review on Exponential and Log Rules
Derivatives of Exponential and Log Function
Log Differentiation
Examples: Log Differentiation

Conclusion

Summary
Thank You & Good Luck & Next Step
Extra Lecture: L’HΓ΄pital’s Rule
Extra Lecture: Rates of Change