Dave's Web Corner

MTH-119W Week 11 (November 7-13)

• Outline
• Assessments
• Handouts
• Video
• Technology

Outline

7.1 Roots and Radical Functions

• recommended problems
  • 9, 27, 35, 37, 45, 47, 53, 59, 63, 67
• learning objectives
  • find the square root of a number
  • find the nth root of a number
  • graph a simple root function
  • find the domain for a root function

7.2 Rational Exponents

• recommended problems
  • 21, 27, 37, 47, 51, 53, 59, 67, 69, 71
• learning objectives
  • write a root using a rational exponent
  • write a rational exponent in radical notation
  • use rational exponents to simplify roots
  • simplify expressions containing rational exponents

7.3 Simplified Form for Radicals

• recommended problems
  • 27, 39, 51, 67, 73, 79, 85, 93, 99, 101
• learning objectives
  • simplify a radical expression by writing it as a product
  • simplify a radical expression by writing it as a quotient
  • simplify fractions containing radicals
  • simplify nth roots of nth powers

7.4 Addition and Subtraction of Radical Expressions

• recommended problems
  • 7, 13, 19, 21, 27, 31, 35, 41, 47, 51
• learning objectives
  • identify similar radicals
  • combine similar radicals

7.5 Multiplication and Division of Radical Expressions

• recommended problems
  • 17, 35, 49, 67, 73, 83, 91, 97, 105, 117
• learning objectives
  • multiply radicals
  • simplify products involving radicals
  • divide radicals
  • rationalize the denominator

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Homework
  • Homework 9 due Friday, November 12 by 11:59pm: Sections 7.1, 7.2, 7.3, 7.4, 7.5
  • Homework 10 due Friday, November 19 by 11:59pm: Sections 7.6, 7.7, 8.1, 8.2
• Quiz
  • Quiz 7 due Saturday, November 20 by 11:59pm: Sections 7.1-7.7
  • Quiz 8 due Saturday, December 4 by 11:59pm: Sections 8.1-8.7
• Exam
  • Exam 3 due Friday, December 17 by 11:59pm: Chapters 7, 8, 9

Handouts

• Announcements
  • Schmidt Award
  • Math Graduate Award
  • Honors Program introduction
  • Tutoring Center services
  • MTH-119W Study Groups
• Graph Paper
  • Rectangular Grids 1 Large Coarse
  • Rectangular Grids 1 Large Medium
  • Rectangular Grids 3 Small
  • Rectangular Grids 6 Small
• Basic Graphs
  • Key Points of the Basic Graphs
• Polynomials
  • Polynomials
  • Polynomial Multiplication
  • Polynomial Long Division
  • Synthetic Division and the Remainder Theorem
  • Greatest Common Factors and Grouping
  • Factoring Trinomials
  • Factoring Special Forms
  • Polynomial Equations
• Rational Expressions
  • Rational Expressions
  • Add and Subtract Rational Expressions
  • Rational Equations
• Radical Functions
  • Graphing Radical Functions
  • Radical Expressions and Functions
  • Simplifying Radical Expressions
  • Radical Equations
  • Complex Numbers
• Quadratic Functions
  • Completing the Square
  • Completing the Square Examples
  • Complete The Square And The Quadratic Formula
  • The Quadratic Formula
  • Parabola Facts
  • Drawing Parabolas

Video

• Playlists
  • MTH-119W Recommended Problems
  • MTH-119W Topics
• Recommended Problems
  • Chapter 7
• Topics
  • Complex Numbers
    • Addition and Subtraction of Complex Numbers
    • Multiplication of Complex Numbers
    • Complex Conjugate Multiplication
    • Division of Complex Numbers
  • Completing the Square
    • No fractions No Radicals
    • No Fractions with Radicals
    • No Fractions Simplify Radicals
    • with Fractions
  • Quadratic Formula
    • Short and Sweet
    • Simplify Radical
    • Additional Cancellation
    • Complex Roots
    • Factors

Technology

• Communication
  • Zoom
  • Microsoft Lens
  • Apple Notes
  • Adobe Scan
  • Joining a Zoom Webinar
  • MTH-119W Questions folder
• Desmos
  • Some Basic Graphs, Points, and Tables
  • a parabola through three points
  • a fun rational function
  • The Vertex Form of a Parabola
  • Roots of Quadratic Equations
  • solutions of quadratic equations
  • basic exponential function pattern