Tutorialspoint

#May Motivation Use code MAY10 for extra 10% off

Ace Precalculus in 5 Hours - The Complete Course

person icon Gina Chou

4.3

Ace Precalculus in 5 Hours - The Complete Course

Learn the connections between numeric, graphical, and algebraic representations of relations and functions

updated on icon Updated on May, 2024

language icon Language - English

person icon Gina Chou

category icon Math,Calculus

Lectures -58

Resources -17

Duration -5.5 hours

4.3

price-loader

30-days Money-Back Guarantee

Training 5 or more people ?

Get your team access to 10000+ top Tutorials Point courses anytime, anywhere.

Course Description

HOW THIS COURSE WORK:

This course, Ace Precalculus in 6 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 Graphs

  • Operations, Transformations, and Inverses

  • Algebraic Functions

  • Factorization of Polynomials (NEWLY ADDED SECTION)

  • Transcendental Functions


CONTENT 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 success

  • Lifetime access to Ace Precalculus in 6 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: Five 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 :)

Goals

What will you learn in this course:

  • 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)
  • Factor a polynomial function and sketch the function without a graphical calculator
  • 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

Prerequisites

What are the prerequisites for this course?

  • Familiarity with algebra
  • Some basic knowledge with the cartesian coordinates
Ace Precalculus in 5 Hours - The Complete Course

Curriculum

Check out the detailed breakdown of what’s inside the course

Introduction
3 Lectures
  • play icon Overview 02:17 02:17
  • play icon Welcome and How It Works 02:32 02:32
  • play icon Tips to Maximize Your Learning
Functions and Graphs
13 Lectures
Tutorialspoint
Operations, Transformations, and Inverses
11 Lectures
Tutorialspoint
Algebraic Functions
11 Lectures
Tutorialspoint
Factorization of Polynomials (NEWLY ADDED SECTION)
7 Lectures
Tutorialspoint
Transcendental Functions
11 Lectures
Tutorialspoint
Conclusion
2 Lectures
Tutorialspoint

Instructor Details

Gina Chou

Gina Chou

e


Course Certificate

Use your certificate to make a career change or to advance in your current career.

sample Tutorialspoint certificate

Our students work
with the Best

Related Video Courses

View More

Annual Membership

Become a valued member of Tutorials Point and enjoy unlimited access to our vast library of top-rated Video Courses

Subscribe now
Annual Membership

Online Certifications

Master prominent technologies at full length and become a valued certified professional.

Explore Now
Online Certifications

Talk to us

1800-202-0515