Step by Step Calculus 1 : Learn from scratch

Learn about Functions, Limits, Derivatives, Curve Sketching and more at your own pace.
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  • Lectures 47
  • Length 5.5 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 10/2015 English

Course 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 actual 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.

What are the requirements?

  • Have a general understanding of Algebra

What am I going to get from this course?

  • Manipulate Functions
  • Know how to find a limit
  • Know how to take derivatives
  • Know how to sketch a curve
  • Basic knoweldge using Matlab for curve sketching.

What is the target audience?

  • This course is meant for High school and/or College Students, or anyone interested in learning calculus really.

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Functions
Introduction
Preview
06:01
Vertical Line Test
03:21
Exercise
1 page
Even and Odd
04:03
Practice Problems - Even and Odd functions
08:26
Reflections
Preview
04:57
Shifts
08:36
Stretching
06:56
Function Operations and PieceWise Functions
07:26
Functions
2 questions
Section 2: Limits
Introduction to Limits
14:10
Usefull limits - PART I
13:55
Usefull limits - PART II
09:33
Exercise
Preview
4 pages
Squeeze Theorem
Preview
04:31
Squeeze Theorem - Practice problem
07:01
Continuity - PART I
07:17
Continuity - Part II
05:08
Limits
2 questions
Section 3: Derivatives
Introduction
Preview
08:34
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
Distribution Property of Derivative
Preview
04:30
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
Section 4: Applications of Differentiation
Rates of Change
Preview
09:45
Rates of Change - Practice problem
10:22
Section 5: Curve Sketching
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
What You Need 4 - Cavity
Preview
04:35
Can you Sketch the Curve of a Function ?
2 questions
Practice Problem - PART I
05:23
Practice Problem - Part II
05:16
Practice Problem - Part III
Preview
07:39
Practice Problem - Part IV
05:44
Practice Problem - Sketch it!
04:49
Section 6: MATLAB
07:29

MATLAB is a powerful tool used by scientists and engineers to perform tedious calculations and to interpret data following measurements of experiments and much more!

MATLAB
2 questions
Section 7: EXTRAS
Article

This is not the End!

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Instructor Biography

Hello there my name is Bryant and I am 24 years old. I have a Bachelor of Science in Physics. Through out my college years I had the opportunity to be a tutor for about 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 through videos to teach calculus 1. My major has also helped me to know where to start teaching.

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