Mr. Sutton Presents... Pre-Calculus Honors

A clear, concise, no-nonsense guide to all the topics you need to be ready for Calculus

Ratings: 5.00 / 5.00




Description

Mr. Sutton Presents... Pre-Calculus Honors

Let's cut out the fluffy description and get right to the point.  You are looking for a convenient, self-paced way to learn some quality mathematics.  You want a teacher who speaks, writes and explains clearly and without rambling in his videos.  You want lots of practice problems with answers you can look up.  You want to pay as little as possible for all this!

Here is what all of my courses offer:

  • Clear, concise videos that get to the point quickly with just enough "back story" to provide context, just enough "application" to spice it up, and carefully chosen examples to model the process.

  • PDF versions of each lesson if you get sick of my voice or want to look back without hunting through the video.  All lessons were recorded with PowerPoint slides, so you don't have to decipher my handwriting.

  • A printable guided notes handout allowing you to fill-in-the-blanks while you watch each lesson.  Very helpful if you learn better by writing things down but want to avoid needless rewriting or a disorganized jumble!

  • 2-4 practice problem sets per lesson, including printable handouts AND both PDF and video solutions of every single practice problem -- an extra 20-30 hours of video content!

  • End-of-chapter practice quizzes (with handouts and PDF/video solutions) to review multiple concepts at once.

Here is what this course covers:

  1. Quadratics

    1. Solving by Factoring

    2. Solving by Completing the Square

    3. Quadratic Formula

    4. Quadratic Systems

  2. Polynomials

    1. Solving Polynomials by Factoring

    2. Synthetic Division

    3. Rational Roots Theorem

    4. Graphing Polynomials in Intercept Form

    5. Graphing Polynomials in Standard Form

    6. Writing Polynomials

    7. Applications of Polynomials

    8. Binomial Expansion

  3. Rational Functions

    1. Simplifying Rational Expressions

    2. Multiplying and Dividing Rational Expressions

    3. Adding and Subtracting Rational Functions

    4. Complex Fractions

    5. Rational Equations

    6. Features of Rational Functions

    7. Graphing Rational Functions

    8. Polynomial and Rational Inequalities

  4. Exponential and Logarithmic Functions

    1. Exponential Functions

    2. Compound Interest

    3. Logarithms

    4. Laws of Logarithms

    5. Logarithmic Equations

    6. Exponential Equations

    7. Applications of Exponential Equations

  5. Trigonometry

    1. Right Triangle Trigonometry

    2. Applications of Right Triangle Trigonometry

    3. Triangle Area

    4. Law of Sines

    5. Law of Cosines

    6. Cosine and Sine

    7. The Other Trigonometric Functions

    8. Simple Trigonometric Equations

    9. Trigonometric Quadratic Equations

    10. Pythagorean Identities

    11. Double Angle Formulas

  6. Polar Coordinates and Vectors

    1. Polar Coordinates and Graphs

    2. Vectors

    3. Applications of Vectors

  7. Conics and Parametrics

    1. Graphing Conic Sections

    2. Classifying Conics

    3. Parametric Equations

  8. Sequences and Series

    1. Arithmetic Sequences and Series

    2. Geometric Series and Sigma Notation

    3. Infinite Geometric Series

    4. Conversion and Convergence

What You Will Learn!

  • Solve quadratic equations
  • Solve, graph and model with polynomials
  • Simplify, solve and graph rational expressions
  • Model with, simplify and solve exponential and logarithmic functions
  • Model with, solve and simplify trigonometric expressions
  • Apply polar coordinates and vectors
  • Work with conic sections and parametric functions
  • Evaluate finite and infinite series

Who Should Attend!

  • Intermediate Pre-Calculus learners (high school)