Ace Precalculus In 5 Hours (The Complete Course)

Free Download Ace Precalculus In 5 Hours (The Complete Course)
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
Determine 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 downloadable 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 successLifetime access to Ace Precalculus in 5 Hours (The Complete Course)HIGHLIGHTS:#1: Downloadable lectures so you can watch the videos whenever and wherever you are.#2: Downloadable 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 Downloadable 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 Downloadable 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 Downloadable 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 Downloadable 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

https://www.udemy.com/course/ace-precalculus-in-5-hours-the-complete-course/