Dave's Web Corner

MTH-119W Week 12 (November 14-20)

• Outline
• Assessments
• Handouts
• Video
• Technology

Outline

7.6 Equations with Radicals

• recommended problems
  • 11, 17, 19, 25, 31, 35, 37, 43, 47, 51
• learning objectives
  • solve equations containing square roots
  • identify extraneous solutions when squaring both sides of an equation
  • solve equations involving nth roots
  • solve equations containing rational exponents

7.7 Complex Numbers

• recommended problems
  • 19, 23, 27, 35, 43, 47, 63, 69, 75, 77
• learning objectives
  • write the square root of a negative number as a pure imaginary number
  • simplify powers of \( i \)
  • add and subtract complex numbers
  • multiply and divide complex numbers

8.1 The Square Root Property and Completing the Square

• recommended problems
  • 17, 31, 47, 51, 55, 63, 67, 73, 79, 81
• learning objectives
  • use the Square Root Property for Equations to solve a quadratic equation
  • solve a quadratic equation by completing the square
  • solve applied problems involving quadratic equations

8.2 The Quadratic Formula

• recommended problems
  • 19, 27, 29, 41, 47, 61, 67, 69, 73, 75
• learning objectives
  • solve a quadratic equation using the quadratic formula
  • solve applied problems involving quadratic equations

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Homework
  • Homework 10 due Friday, November 19 by 11:59pm: Sections 7.6, 7.7, 8.1, 8.2
  • Homework 11 due Friday, November 26 by 11:59pm: Sections 8.3, 8.4
• 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
  • Chapter 8
• 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