Step by Step Calculus 1 : Learn from scratch
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# Step by Step Calculus 1 : Learn from scratch

Learn about Functions, Limits, Derivatives, Curve Sketching and more at your own pace.
4.2 (10 ratings)
584 students enrolled
Created by Bryant Avila
Last updated 8/2017
English
Price: Free
Includes:
• 5.5 hours on-demand video
• 1 Article
• 3 Supplemental Resources
• Full lifetime access
• Access on mobile and TV
• Certificate of Completion
What Will I Learn?
• 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.
View Curriculum
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 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.

Who is the target audience?
• This course is meant for High school and/or College Students, or anyone interested in learning calculus really.
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Curriculum For This Course
47 Lectures
05:37:48
+
Functions
9 Lectures 49:46
Introduction
06:01

Vertical Line Test
03:21

Exercise
1 page

Even and Odd
04:03

Practice Problems - Even and Odd functions
08:26

Reflections
04:57

Shifts
08:36

Stretching
06:56

Function Operations and PieceWise Functions
07:26

Functions
2 questions
+
Limits
8 Lectures 01:01:35
Introduction to Limits
14:10

Usefull limits - PART I
13:55

Usefull limits - PART II
09:33

Exercise
4 pages

Squeeze Theorem
04:31

Squeeze Theorem - Practice problem
07:01

Continuity - PART I
07:17

Continuity - Part II
05:08

Limits
2 questions
+
Derivatives
17 Lectures 02:12:20
Introduction
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
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
+
Applications of Differentiation
2 Lectures 20:07
Rates of Change
09:45

Rates of Change - Practice problem
10:22
+
Curve Sketching
9 Lectures 57:37
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
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
07:39

Practice Problem - Part IV
05:44

Practice Problem - Sketch it!
04:49
+
MATLAB
1 Lecture 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!

What is MATLAB ?
07:29

MATLAB
2 questions
+
EXTRAS
1 Lecture 00:54

This is not the End!

Conclusion
00:54