Become A Calculus I Ace

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

What you'll 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

Requirements

Trigonometry (Unit Circle, Pythagorean Identities, Inverse Trig Functions)

Algebra (Quadratic Formula, Factoring, Simplifying Complex Expressions)

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 FunctionLimit Laws and Properties of LimitsContinuity and its PropertiesLimits at InfinityUndefined and Indeterminant LimitsThe Limit Definition of a DerivativeProperties of DerivativesThe Power Rule for DerivativesThe Derivative of an Exponential FunctionThe Product and Quotient RulesDerivatives of Trig FunctionsThe Chain RuleImplicit DifferentiationDerivatives of Logarithms and Inverse Trig FunctionsLogarithmic DifferentiationHyperbolic Trig FunctionsRates of Change (Applications of Derivatives)Exponential Growth and DecayRelated RatesLinear ApproximationGraph CalculusMinimum and Maximum ValuesThe Mean Value TheoremGraphs and Their DerivativesIndeterminate FormsL'Hospital's RuleGraph SketchingOptimizationContent 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.

Overview

Section 1: Introduction

Lecture 1 Resources/Handouts for Course

Section 2: Limits

Lecture 2 Introduction Video for Limits

Lecture 3 Limit of a Function

Lecture 4 Limit of a Function Quiz

Lecture 5 Limit Laws

Lecture 6 Limit Laws Part 2

Lecture 7 Limit Laws Part 3

Lecture 8 Limit Laws Part 4 (Bonus)

Lecture 9 Limit Laws Quiz

Lecture 10 Continuity

Lecture 11 Continuity Part 2

Lecture 12 Continuity Part 3

Lecture 13 Continuity Quiz

Lecture 14 Limits at Infinity

Lecture 15 Limits at Infinity Part 2

Lecture 16 Limits at Infinity Part 3

Lecture 17 Limits at Infinity Part 4

Lecture 18 Limits at Infinity Quiz

Lecture 19 Limit Definition of the Derivative

Lecture 20 Limit Definition of the Derivative Part 2

Lecture 21 Limit Definition of the Derivative Part 3

Lecture 22 Limit Definition of the Derivative Quiz

Section 3: Derivative Rules

Lecture 23 Introduction Video for Derivatives

Lecture 24 Properties of Derivatives, Power Rule, and Exponential Rule

Lecture 25 Properties of Derivatives, Power Rule, and Exponential Rule Part 2

Lecture 26 Properties of Derivatives, Power Rule, and Exponential Rule Part 3

Lecture 27 Properties of Derivatives, Power Rule, and Exponential Rule Part 4

Lecture 28 Properties of Derivatives, Power Rule, and Exponential Rule Quiz

Lecture 29 Product and Quotient Rule

Lecture 30 Product and Quotient Rule Part 2

Lecture 31 Product and Quotient Rule Quiz

Lecture 32 Derivatives of Trig Functions

Lecture 33 Derivative Of Trig Functions Part 2

Lecture 34 Derivative Of Trig Functions Part 3

Lecture 35 Derivatives of Trig Functions Quiz

Lecture 36 The Chain Rule

Lecture 37 The Chain Rule Part 2

Lecture 38 The Chain Rule Quiz

Lecture 39 Implicit Differentiation

Lecture 40 Implicit Differentiation Part 2

Lecture 41 Implicit Differentiation Part 3

Lecture 42 Implicit Differentiation Quiz

Lecture 43 Logarithmic Differentiation

Lecture 44 Logarithmic Differentiation Part 2

Lecture 45 Logarithmic Differentiation Quiz

Lecture 46 Hyperbolic (Trig) Functions

Lecture 47 Hyperbolic (Trig) Functions Part 2

Lecture 48 Hyperbolic (Trig) Functions Quiz

Section 4: Applications of Derivatives (Related Rates)

Lecture 49 Introduction Video for Applications of Derivatives

Lecture 50 Rates of Change

Lecture 51 Rates of Change Part 2

Lecture 52 Rates of Change Quiz

Lecture 53 Exponential Growth and Decay

Lecture 54 Exponential Growth and Decay Part 2

Lecture 55 Exponential Growth and Decay Part 3

Lecture 56 Exponential Growth and Decay Quiz

Lecture 57 Related Rates

Lecture 58 Related Rates Part 2

Lecture 59 Related Rates Quiz

Lecture 60 Linear Approximation

Lecture 61 Linear Approximation Part 2

Lecture 62 Linear Approximation Quiz

Section 5: Graph Calculus + Optimization

Lecture 63 Introduction Video for Graph Calculus

Lecture 64 Max and Min Values

Lecture 65 Max and Min Values Part 2

Lecture 66 Max and Min Values Part 3

Lecture 67 Max and Min Values Quiz

Lecture 68 The Mean Value Theorem

Lecture 69 The Mean Value Theorem Quiz

Lecture 70 Graphs and Derivatives

Lecture 71 Graphs and Derivatives Part 2

Lecture 72 Graphs and Derivatives Part 3

Lecture 73 Graphs and Derivatives Quiz

Lecture 74 Indeterminate Forms (L'Hospital's Rule)

Lecture 75 Indeterminate Forms (L'Hospital's Rule) Part 2

Lecture 76 Indeterminate Forms (L'Hospital's Rule) Part 3

Lecture 77 Indeterminate Forms (L'Hospital's Rule) Part 4

Lecture 78 Indeterminate Forms (L'Hospital's Rule) Quiz

Lecture 79 Graph Sketching

Lecture 80 Graph Sketching Part 2

Lecture 81 Graph Sketching Part 3

Lecture 82 Graph Sketching Quiz

Lecture 83 Optimization

Lecture 84 Optimization Part 2

Lecture 85 Optimization Quiz

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.