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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.
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|Section 1: Functions|
Vertical Line Test
Even and Odd
Practice Problems - Even and Odd functions
Function Operations and PieceWise Functions
|Section 2: Limits|
Introduction to Limits
Usefull limits - PART I
Usefull limits - PART II
Squeeze Theorem - Practice problem
Continuity - PART I
Continuity - Part II
|Section 3: Derivatives|
Introduction To Derivatives - PART II
Derivative at a given Point
Derivative of a Power and a Constant Function
Derivative of a constant x a Funtion
Derivative of a constant times a function - Practice Problem
Distribution Property of DerivativePreview
Quotient Rule - Practice Problem 1
Quotient Rule - Practice Problem 2
Cos and Sin Function Derivative
Chain Rule 1
Chain Rule 2
|Section 4: Applications of Differentiation|
Rates of ChangePreview
Rates of Change - Practice problem
|Section 5: Curve Sketching|
What you need 1 - Points of intersection
What You Need 2 - Max and Min Values
What You Need 3 - Inflections Points
What You Need 4 - CavityPreview
Can you Sketch the Curve of a Function ?
Practice Problem - PART I
Practice Problem - Part II
Practice Problem - Part IIIPreview
Practice Problem - Part IV
Practice Problem - Sketch it!
|Section 6: 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!
|Section 7: EXTRAS|
This is not the End!
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.