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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.
Instructor:
Bryant Avila
1,986 students enrolled
English [Auto]
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

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.

Functions

1
Introduction
2
Vertical Line Test
3
Exercise
4
Even and Odd
5
Practice Problems - Even and Odd functions
6
Reflections
7
Shifts
8
Stretching
9
Function Operations and PieceWise Functions
10
Functions

Limits

1
Introduction to Limits
2
Usefull limits - PART I
3
Usefull limits - PART II
4
Exercise
5
Squeeze Theorem
6
Squeeze Theorem - Practice problem
7
Continuity - PART I
8
Continuity - Part II
9
Limits

Derivatives

1
Introduction
2
Introduction To Derivatives - PART II
3
Derivative Example
4
Derivative at a given Point
5
Derivative of a Power and a Constant Function
6
Derivative of a constant x a Funtion
7
Derivative of a constant times a function - Practice Problem
8
Distribution Property of Derivative
9
Quotient Rule
10
Quotient Rule - Practice Problem 1
11
Quotient Rule - Practice Problem 2
12
Cos and Sin Function Derivative
13
Product Rule
14
Chain Rule 1
15
Chain Rule 2
16
Implicit differentiation
17
Exercise

Applications of Differentiation

1
Rates of Change
2
Rates of Change - Practice problem

Curve Sketching

1
What you need 1 - Points of intersection
2
What You Need 2 - Max and Min Values
3
What You Need 3 - Inflections Points
4
What You Need 4 - Cavity
5
Can you Sketch the Curve of a Function ?
6
Practice Problem - PART I
7
Practice Problem - Part II
8
Practice Problem - Part III
9
Practice Problem - Part IV
10
Practice Problem - Sketch it!

MATLAB

1
What is MATLAB ?

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!

2
MATLAB

EXTRAS

1
Conclusion

This is not the End!

You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
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5 hours on-demand video
1 article
Full lifetime access
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Certificate of Completion