Become A Calculus I Ace

Published 1/2023
MP4 | Video: h264, 1280×720 | Audio: AAC, 44.1 KHz
Language: English | Size: 9.52 GB | Duration: 28h 42m
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.

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