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Teaching & Academics Math Calculus

Step by Step Calculus 1 : Learn from scratch

Learn about Functions, Limits, Derivatives, Curve Sketching and more at your own pace.
Rating: 3.6 out of 53.6 (83 ratings)
1,988 students
Created by Bryant Avila
Last updated 8/2019
English
English [Auto]
30-Day Money-Back Guarantee

What you'll learn

  • Manipulate Functions
  • Learn how to find the limit of a function
  • Learn how to take the derivative of a function
  • Sketch any function
  • Analyze problems step by step

Requirements

  • Have a general understanding of algebra

Description

Calculus one is the introductory course of Calculus as it covers all the essentials; From knowing what a function is to finding limits, taking derivatives, and sketching a given curve. This course is vital for any student wishing to pursue a degree in Science or Engineering.

For each topic that is covered in this course, I will start by giving a general introduction of concepts then I will move on to solve  problems, because practice is definitely the best way to learn. I will conclude the course by introducing you to MATLAB which is a powerful tool, that allows you to graph curves, take derivatives and much more using few lines of code.

This course will be constantly updated and new material will be posted every now and then. And if you seek help I will be more than happy to answer your questions on the course page.

Who this course is for:

  • College and high school students that need help with their calculus class.
  • Anyone looking to republish their calculus knowledge.

Course content

7 sections • 47 lectures • 5h 37m total length

  • Preview06:01
  • Preview03:21
  • Exercise
    1 page
  • Even and Odd
    04:03
  • Practice Problems - Even and Odd functions
    08:26
  • Preview04:57
  • Shifts
    08:36
  • Stretching
    06:56
  • Function Operations and PieceWise Functions
    07:26
  • Functions
    2 questions

  • Introduction to Limits
    14:10
  • Usefull limits - PART I
    13:55
  • Usefull limits - PART II
    09:33
  • Preview4 pages
  • Preview04:31
  • Squeeze Theorem - Practice problem
    07:01
  • Continuity - PART I
    07:17
  • Continuity - Part II
    05:08
  • Limits
    2 questions

  • Preview08:34
  • Introduction To Derivatives - PART II
    10:12
  • Derivative Example
    13:10
  • Derivative at a given Point
    06:44
  • Derivative of a Power and a Constant Function
    10:47
  • Derivative of a constant x a Funtion
    04:14
  • Derivative of a constant times a function - Practice Problem
    04:49
  • Preview04:30
  • Quotient Rule
    05:07
  • Quotient Rule - Practice Problem 1
    07:03
  • Quotient Rule - Practice Problem 2
    05:51
  • Cos and Sin Function Derivative
    08:23
  • Product Rule
    10:54
  • Chain Rule 1
    04:37
  • Chain Rule 2
    07:56
  • Implicit differentiation
    19:29
  • Exercise
    3 pages

  • Rates of Change
    Preview09:45
  • Rates of Change - Practice problem
    10:22

  • What you need 1 - Points of intersection
    07:05
  • What You Need 2 - Max and Min Values
    07:43
  • What You Need 3 - Inflections Points
    09:23
  • Preview04:35
  • Can you Sketch the Curve of a Function ?
    2 questions
  • Practice Problem - PART I
    05:23
  • Practice Problem - Part II
    05:16
  • Preview07:39
  • Practice Problem - Part IV
    05:44
  • Practice Problem - Sketch it!
    04:49

  • What is MATLAB ?
    07:29
  • MATLAB
    2 questions

  • Conclusion
    00:53

Instructor

Bryant Avila
Mr.
Bryant Avila
  • 3.6 Instructor Rating
  • 83 Reviews
  • 1,988 Students
  • 1 Course

Hello there my name is Bryant. I have a Bachelor of Science in Physics. Through out my college years I had the opportunity to be a tutor for 2 years and what I learned from this experience is that the majority of students tend to be visual learners. This is why I have taken the opportunity to develop this online course trying my best throughout these videos to teach a college level calculus 101 course. This course goes straight to the important parts. You will not lose valuable time. I hope you enjoy it! :)

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