Dave's Web Corner

MTH-119W Week 15 (December 5-11)

• Outline
• Assessments
• Handouts
• Video
• Technology

Outline

9.3 Logarithms and Logarithmic Functions

• recommended problems
  • 5, 23, 39, 45, 53, 59, 67, 73, 77, 81
• learning objectives
  • write an exponential expression in logarithmic form
  • write a logarithmic expression in exponential form
  • evaluate a logarithm
  • graph a logarithmic function

9.4 Properties of Logarithms

• recommended problems
  • 11, 33, 39, 57, 65, 73, 77, 85, 87, 91
• learning objectives
  • use properties of logarithms to evaluate logarithms
  • use properties of logarithms to expand a logarithm
  • use properties of logarithms to consolidate logarithmic expressions

9.5 Common Logarithms, Natural Logarithms, and Change of Base

• recommended problems
  • 9, 19, 33, 37, 41, 45, 53, 61, 67, 71
• learning objectives
  • find a common logarithm
  • find a natural logarithm
  • simplify expressions involving common or natural logarithms
  • change a logarithm from one base to another

9.6 Exponential and Logarithmic Equations

• recommended problems
  • 17, 27, 51, 61, 71, 75, 91, 101, 113, 117
• learning objectives
  • solve an exponential equation
  • solve a logarithmic equation
  • solve applications involving exponential and logarithmic equations

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Homework
  • Homework 13 due Friday, December 10 by 11:59pm: Sections 9.3, 9.4, 9.5, 9.6
• Quiz
  • Quiz 9 due Saturday, December 11 by 11:59pm: Sections 9.1-9.6
• Exam
  • Exam 3 due Friday, December 17 by 11:59pm: covers Chapters 7, 8, 9
• Final Exam
  • Final Exam due Sunday, December 19 by 11:59pm: covers all nine chapter

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
• Exponents and Logarithms
  • Exponents and Logarithms

Video

• Playlists
  • MTH-119W Recommended Problems
  • MTH-119W Topics
• Recommended Problems
  • Chapter 9
• Topics
  • 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
  • Complex Numbers
    • Addition and Subtraction of Complex Numbers
    • Multiplication of Complex Numbers
    • Complex Conjugate Multiplication
    • Division of Complex Numbers
  • Compound Interest
    • Discretely Compounded Interest
    • Continuously Compounded Interest
    • Accumulation Time without Calculator
    • Accumulation Time with Calculator

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