Become a Calculus I Ace is setup for YOU to succeed and learn easily!
Have you ever wanted to learn Calculus I from a college professor but didn't want to spend all that money on a college course, be forced to take tests at certain times, and be penalized if you don't do an assignment on time? If that is you, then you have come to the right place. Having experience as a college math professor, and having a Ph.D in Mathematics, I not only know what you need to learn, but what tools you need to succeed!
I have designed this course to be as useful and efficient as possible for you without skipping any of the content that you will need. In my decade of experience teaching math, I have honed in on discovering the necessary tools you will need from Trigonometry and present them in a way that is a slow and steady build on what is covered throughout the course.
For each lesson in this course, you receive a downloadable lecture handout, a lecture video, and a video of me going over the quiz solutions. At the end of the course, there is a final exam so you can see the progress you made. Become a Calculus I Ace is organized in a logical way so you can see the overall build up of Calculus I and has the following sections:
Limits of a Function
Limit Laws and Properties of Limits
Continuity and its Properties
Limits at Infinity
Undefined and Indeterminant Limits
The Limit Definition of a Derivative
Properties of Derivatives
The Power Rule for Derivatives
The Derivative of an Exponential Function
The Product and Quotient Rules
Derivatives of Trig Functions
The Chain Rule
Implicit Differentiation
Derivatives of Logarithms and Inverse Trig Functions
Logarithmic Differentiation
Hyperbolic Trig Functions
Rates of Change (Applications of Derivatives)
Exponential Growth and Decay
Related Rates
Linear Approximation
Graph Calculus
Minimum and Maximum Values
The Mean Value Theorem
Graphs and Their Derivatives
Indeterminate Forms
L'Hospital's Rule
Graph Sketching
Optimization
Content of each section:
Videos: In each section, you will get a full length lecture video. In each lecture, I first go over the "what" you will see in the section, then "how" and "why" of doing it. Then, you will see plenty of examples done. Every example is done going through a full explanation of all the steps so you can see the process done and understand it clearly. It is highly advised you follow along on your own and not just watch. Additionally, for each each section, there is a quiz solutions video where you can compare your work on the quizzes to mine.
Lecture Notes: In each section, the lecture notes are (mostly) filled out for you. They are the same notes I go through and discuss in each section. I recommend downloading the lecture notes for each section and going through, following along (or maybe pause the video and try on your own) the empty spaces left for doing the problems. At the end of each lecture, there are practice problems and a quiz with an answer key. As stated above, there is also a video for each quiz's solutions as well.
Quizzes: As a final mention, each section has a quiz; however, it is not a quiz built into the Udemy course. It is in the same .pdf as the lecture notes. The video solutions are uploaded directly after each lecture for ease of progression.
Lastly, there will be a final exam, along with an answer key.
...Not to forget:
With this course, you get it for a lifetime. You also can ask questions in the Q&A section if you have them and I will respond as quickly as possible. Additionally, upon completing the course, you will get a Certificate of Completion to download.