Become a Calculus I Ace

Learn Calculus I, including Limits, Derivatives, and Their Applications From an Experienced Mathematics Professor

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Description

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.

What You Will Learn!

  • Limit of a Function
  • Limit Laws
  • Continuity
  • Infinite Limits
  • Limits at Infinity
  • Limit Definition of a Derivative
  • Properties of Derivatives
  • Power Rule
  • Derivative of Exponential and Logarithmic Functions
  • Derivative of Trig Functions
  • Product and Quotient Rule
  • Chain Rule
  • Implicit Differentiation
  • Logarithmic Differentiation
  • Hyperbolic (Trig) Functions and their Derivatives
  • Rates of Change
  • Applications of Derivatives in Biology, Physics, and Finance
  • The Mean Value Theorem
  • Critical Values; Increasing and Decreasing
  • Inflection Points and Concavity
  • L'Hospital's Rule (Indeterminate Forms)
  • Graph Sketching
  • Optimization

Who Should Attend!

  • Anyone wanting to learn Calculus I (Limits and Derivatives).
  • Anyone needing to brush up on their Calculus I skills.
  • Anyone taking Calculus I and needing supplementary instruction.