Dave's Web Corner

MTH-121 Week 5 (September 22-28)

• Outline
• Assessments
• Handouts
• Videos
• Technology

Outline

3.3 Definition III: Circular Functions

• recommended problems
  • 3, 11, 15, 19, 23, 27, 33, 35, 43, 45
• learning objectives
  • find the value of a given angle using the unit circle
  • solve problems involving even and odd functions

3.4 Length of an Arc and Area of a Sector

• recommended problems
  • 5, 9, 15, 21, 27, 31, 33, 37, 41, 45
• learning objectives
  • find the length of an arc
  • approximate chords with arcs
  • find the area of a sector

3.5 Velocities

• recommended problems
  • 11, 15, 19, 21, 27, 31, 37, 39, 45, 51
• learning objectives
  • find the linear velocity of a point moving on a circle
  • find the angular velocity of a point moving on a circle
  • find the relationship between linear velocity and angular velocity moving on a circle

4.1 Basic Graphs

• recommended problems
  • 3, 11, 19, 25, 27, 31, 37, 39, 45, 49
• learning objectives
  • graph sine and cosine functions
  • graph tangent functions
  • graph reciprocal trigonometric functions

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Calendar of all XYZ Homework assessment deadlines (homework, quizzes, exams)
• Homework
  • Homework 5 due by 11:59pm, Saturday, September 28: Sections 3.3, 3.4, 3.5, 4.1
  • Homework 6 due by 11:59pm, Saturday, October 5: Sections 4.2, 4.3, A.1, A.2
• Quiz
  • Quiz 2 due by 11:59pm, Tuesday, September 24: Chapter 2
  • Quiz 3 due by 11:59pm, Tuesday, October 1: Chapter 3
• Exam
  • Exam 2 due by 11:59pm, Thursday, September 26: Chapters 1, 2

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
• Trigonometric Functions
  • Trigonometric Functions
  • Exact Values
  • Using the Definitions of Trigonometric Functions
• Right Triangles
  • Trigonometric Functions of Acute Angles
  • Trigonometric Functions of Non-Acute Angles
• 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 3
• Topics
  • Right Triangles
    • Three Famous Right Triangles

Technology

• Communication
  • Zoom
  • Microsoft Lens
  • Apple Notes
  • Adobe Scan
  • Joining a Zoom Webinar
• Calculator
• Desmos
  • Visualizing Sine and Cosine as Circular Functions