Published 2/2023MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 2.82 GB | Duration: 4h 48m
Learn the connections between numeric, graphical, and algebraic representations of relations and functions What you'll learn Identify whether a rule is a function Find the domain and range of a function (algebraic and transcendental functions) Identify whether a graph is a function by using the vertical line test Identify whether a graph is a one-to-one function by using the horizontal line test Understand and identify properties of a graph (x- and y-intercepts, roots, local extrema, concavity, increasing/decreasing, inflection point, and more) Calculate the average rate of change of a function over an interval Find the domain of a combination of functions Understand transformations of functions (translations, expansion/compression, and reflection) Sketch a function using transformations of functions Detee whether a function is an even or odd function, or neither Find the inverse of a function algebraically and graphically Learn the algebraic and graphical properties of algebraic functions (power, polynomial, and rational functions) Understand and evaluate absolute value functions Learn the algebraic and graphical properties of transcendental functions (exponential, logarithmic, trigonometric, and inverse trigonometric functions) Evaluate transcendental functions without using calculator Convert angles from degrees to radians and from radians to degrees Find the exact values of trigonometric and inverse trigonometric functions using the unit circle Requirements Familiar with algebra Some basic knowledge with the cartesian coordinates Description HOW THIS COURSE WORK:This course, Ace Precalculus in 5 Hours (The Complete Course), is intended to introduce the student to advanced functions and prepare the student to take calculus courses in the future. The course includes videos, notes from whiteboard during lectures, and practice problems (with solutions!). I also show every single step in examples and proofs. The course is organized into the following topics:Functions and GraphsOperations, Transformations, and InversesAlgebraic FunctionsTranscendental FunctionsCONTENT YOU WILL GET INSIDE EACH SECTION:Videos: I start each topic by introducing and explaining the concept. I share all my solving-problem techniques using examples. I show a variety of math issue you may encounter in class and make sure you can solve any problem by yourself.Notes: In each section, you will find my notes as able resource that I wrote during lectures. So you can review the notes even when you don't have internet access (but I encourage you to take your own notes while taking the course!).Assignments: After you watch me doing some examples, now it's your turn to solve the problems! Be honest and do the practice problems before you check the solutions! If you pass, great! If not, you can review the videos and notes again before moving on to the next section.THINGS THAT ARE INCLUDED IN THE COURSE:An instructor who truly cares about your successLife access to Ace Precalculus in 5 Hours (The Complete Course)HIGHLIGHTS:#1: able lectures so you can watch the videos whenever and wherever you are.#2: able lecture notes so you can review the lectures without having a device to watch/listen.#3: Four problem sets at the end of each section (with solutions!) for you to do more practice.#4: Step-by-step guide to help you solve problems.See you inside the course!- Gina :) Overview Section 1: Introduction Lecture 1 Overview Lecture 2 Welcome and How It Works Lecture 3 Tips to Maximize Your Learning Section 2: Functions and Graphs Lecture 4 able Notes Lecture 5 What is a Function? Lecture 6 Domain and Range of a Function Lecture 7 Vertical and Horizontal Line Tests Lecture 8 Properties of Graphs Lecture 9 Average Rate of Change Lecture 10 Review: Factoring Techniques Lecture 11 Examples: Domain and Range Lecture 12 Example: Function Behavior Lecture 13 Example: Average Rate of Change Lecture 14 Example: Piecewise Function Lecture 15 Example: Multivariable Function Section 3: Operations, Transformations, and Inverses Lecture 16 able Notes Lecture 17 Combinations of Functions Lecture 18 Transformations Lecture 19 Even and Odd Functions Lecture 20 Inverse Functions Lecture 21 Properties of Inverses Lecture 22 Example: Combinations of Functions Lecture 23 Example: Transformations Lecture 24 Example: Even or Odd Functions Lecture 25 Examples: Inverse Functions Section 4: Algebraic Functions Lecture 26 able Notes Lecture 27 Algebraic Functions Lecture 28 Power Functions Lecture 29 Polynomial Functions Lecture 30 Rational Functions Lecture 31 Absolute Value Functions Lecture 32 Example: Domains of Power Functions Lecture 33 Example: Graph of a Polynomial Lecture 34 Example: Sketch a Rational Function Lecture 35 Example: Absolute Value Function Section 5: Transcendental Functions Lecture 36 able Notes Lecture 37 Transcendental Functions Lecture 38 Exponential Functions Lecture 39 Logarithmic Functions Lecture 40 Unit Circle Lecture 41 Trigonometric Functions Lecture 42 Inverse Trigonometric Functions Lecture 43 Examples: Solve Transcendental Functions Lecture 44 Example: Graphs of Transcendental Functions Lecture 45 Example: Inverse of Transcendental Functions Section 6: Conclusion Lecture 46 Thank You & Good Luck & Next Step Lecture 47 BONUS: Let's Keep Learning! Students about to start precalculus or calculus who are looking to get ahead,Current precalculus students who are looking for extra help on functions and graphs,Homeschool parents looking for extra support with precalculus,Homeschool parents whose child is interested in taking calculus courses in university,Anyone who is familiar with algebra and is interested in more advanced math and calculus HomePage:
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