Dave's Web Corner

MTH-121 Week 13 (November 17-23)

• Outline
• Assessments
• Handouts
• Videos
• Technology

Outline

8.1 Complex Numbers

• recommended problems
  • 13, 21, 33, 39, 47, 55, 59, 63, 71, 77
• learning objectives
  • write square roots in terms of the number i
  • simplify expressions containing the powers of i
  • add, subtract, multiply, and divide complex numbers

8.2 Trigonometric Form for Complex Numbers

• recommended problems
  • 9, 17, 21, 27, 33, 37, 45, 49, 53, 55
• learning objectives
  • graph complex numbers
  • write equations containing complex numbers in trigonometric form

8.3 Products and Quotients in Trigonometric Form

• recommended problems
  • 13, 21, 27, 31, 33, 37, 43, 49, 51, 59
• learning objectives
  • multiply complex numbers in trigonometric form
  • dividing complex numbers in trigonometric form

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Calendar of all XYZ Homework assessment deadlines (homework, quizzes, exams)
• Homework
  • Homework 13 due by 11:59pm, Saturday, November 23: Sections 8.1, 8.2, 8.3
  • Homework 14 due by 11:59pm, Saturday, November 30: Sections 8.4, 8.5
• Quiz
  • Quiz B due by 11:59pm, Tuesday, November 19: Appendix B
  • Quiz 8 due by 11:59pm, Tuesday, December 10: Chapter 8
• Exam
  • Exam 4 due by 11:59pm, Thursday, December 12: Chapters 7, 8, Appendix B

Handouts

• Announcements
  • Schmidt Award
  • Math Graduate Award
  • Honors Program introduction
  • Tutoring Center services
• Formulas
  • Fundamental Trigonometry Identities
• Graph Paper is a folder containing a variery of graph paper
• Applications
  • Approximations of Trigonometric Function Values
  • Solutions and Applications of Right Triangles
  • Further Applications of Right Triangles
• Radians
  • Radian Measure
  • Applications of Radian Measure
  • Linear and Angular Speed
• Unit Circle
  • The Unit Circle
  • The Unit Circle Segments
  • The Unit Circle and Circular Functions
• Function Graphs
  • Trigonometric Function Graphs
  • Inverse Trigonometric Function Graphs
  • Graphs of the Sine and Cosine Functions
  • The 12x4 Box Method
  • Graphs of the Tangent and Cotangent Functions
  • Graphs of the Secant and Cosecant Functions

Videos

• Playlists
  • MTH-121 Recommended Problems
  • MTH-121 Topics
• Recommended Problems
  • Chapter 7
  • Chapter 8
• Topics
  • Right Triangles
    • Three Famous Right Triangles
  • Simplifying and Identities
    • Simplifying to Expressions with Sine and Cosine
  • Complex Numbers
    • Addition and Subtraction of Complex Numbers
    • Multiplication of Complex Numbers
    • Complex Conjugate Multiplication
    • Division of Complex Numbers
  • Right Triangle Trigonometry
    • Two Right Triangles I
    • Two Right Triangles II

Technology

• Communication
  • Zoom
  • Microsoft Lens
  • Apple Notes
  • Adobe Scan
  • Joining a Zoom Webinar
• Calculator
• Desmos
  • Visualizing Sine and Cosine as Circular Functions
  • A Line Through Two Points
  • The Vertex Form of a Parabola
  • Roots of Quadratic Equations
  • Graphs of Sine and Cosine Functions