Step by Step Calculus 1 : Learn from scratch
1.8 (2 ratings)
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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.
1.8 (2 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
126 students enrolled
Created by Bryant Avila
Last updated 11/2015
English
Price: $20
30-Day Money-Back Guarantee
Includes:
  • 5.5 hours on-demand video
  • 1 Article
  • 3 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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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
Expand All 47 Lectures Collapse All 47 Lectures 05:37:48
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Functions
9 Lectures 49:46

Vertical Line Test
03:21

Exercise
1 page

Even and Odd
04:03

Practice Problems - Even and Odd functions
08:26


Shifts
08:36

Stretching
06:56

Function Operations and PieceWise Functions
07:26

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

Usefull limits - PART I
13:55

Usefull limits - PART II
09:33



Squeeze Theorem - Practice problem
07:01

Continuity - PART I
07:17

Continuity - Part II
05:08

Limits
2 questions
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Derivatives
17 Lectures 02:12:20

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


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
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Applications of Differentiation
2 Lectures 20:07

Rates of Change - Practice problem
10:22
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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


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 IV
05:44

Practice Problem - Sketch it!
04:49
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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
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EXTRAS
1 Lecture 00:54

This is not the End!

Conclusion
00:54
About the Instructor
Bryant Avila
1.8 Average rating
2 Reviews
126 Students
1 Course

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.