Dave's Web Corner

MTH-121 Resources

• Outline
• Assessments
• Handouts
• Videos
• Technology

Outline

• Chapter 1 The Six Trigonometric Functions
  • 1.1 Angles, Degrees, and Special Triangles
  • 1.2 The Rectangular Coordinate System
  • 1.3 Definition I: Trigonometric Functions
  • 1.4 Introduction to Identities
  • 1.5 More on Identities
• Chapter 2 Right Triangle Trigonometry
  • 2.1 Definition II: Right Triangle Trigonometry
  • 2.2 Calculators and Trigonometric Functions of an Acute Angle
  • 2.3 Solving Right Triangles
  • 2.4 Applications
  • 2.5 Vectors: A Geometric Approach
• Chapter 3 Radian Measure
  • 3.1 Reference Angle
  • 3.2 Radians and Degrees
  • 3.3 Definition III: Circular Functions
  • 3.4 Length of an Arc and Area of a Sector
  • 3.5 Velocities
• Chapter 4 Graphing and Inverse Functions
  • 4.1 Basic Graphs
  • 4.2 Amplitude and Period
  • 4.3 Phase Shift
  • 4.4 Finding the Equation from the Graph
  • 4.5 Graphing Combinations of Functions
  • 4.6 Inverse Trigonometric Functions
• Chapter 5 Identities and Formulas
  • 5.1 Proving Identities
  • 5.2 Sum and Difference Formulas
  • 5.3 Double-Angle Formulas
  • 5.4 Half-Angle Formulas
  • 5.5 Additional Identities
• Chapter 6 Equations
  • 6.1 Solving Trigonometric Equations
  • 6.2 More on Trigonometric Equations
  • 6.3 Trigonometric Equations Involving Multiple Angles
  • 6.4 Parametric Equations and Further Graphing
• Chapter 7 Triangles
  • 7.1 The Law of Sines
  • 7.2 The Ambiguous Case
  • 7.3 The Law of Cosines
  • 7.4 The Area of a Triangle
• Chapter 8 Complex Numbers and Polar Coordinates
  • 8.1 Complex Numbers
  • 8.2 Trigonometric Form for Complex Numbers
  • 8.3 Products and Quotients in Trigonometric Form
  • 8.4 Roots of a Complex Number
  • 8.5 Polar Coordinates
  • 8.6 Equations in Polar Coordinates and Their Graphs
• Appendix A More Graphing for Tangent, Cotangent, Secant, and Cosecant
  • A.1 Amplitude and Period
  • A.2 Phase Shift
• Appendix B Vectors
  • B.1 Vectors
  • B.2 Dot Product of Vectors
  • B.3 Vectors in Space
  • B.4 Cross Products of Vectors

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Calendar of all XYZ Homework assessment deadlines (homework, quizzes, exams)
• Homework
  • Three attempts are allowed on each problem. The number of problems per section varies. Homeworks are available beginning two weeks before their deadline. We have scheduled 14 homework assignments.
  • Homework 1 due by 11:59pm, Saturday, January 11: Sections 1.1, 1.2, 1.3
  • Homework 2 due by 11:59pm, Saturday, January 18: Sections 1.4, 1.5, 2.1, 2.2
  • Homework 3 due by 11:59pm, Saturday, January 25: Sections 2.3, 2.4, 2.5
  • Homework 4 due by 11:59pm, Saturday, February 1: Sections 3.1, 3.2, 3.3, 3.4
  • Homework 5 due by 11:59pm, Saturday, February 8: Sections 3.5, 4.1, 4.2
  • Homework 6 due by 11:59pm, Saturday, February 15: Sections 4.3, 4.4, A.1, A.2
  • Homework 7 due by 11:59pm, Saturday, February 22: Sections 4.5, 4.6, 5.1
  • Homework 8 due by 11:59pm, Saturday, March 1: Sections 5.2, 5.3, 5.4, 5.5
  • Homework 9 due by 11:59pm, Saturday, March 15: Sections 6.1, 6.2, 6.3
  • Homework 10 due by 11:59pm, Saturday, March 22: Sections 6.4, 7.1, 7.2, 7.3
  • Homework 11 due by 11:59pm, Saturday, March 29: Sections 7.4, B.1, B.2
  • Homework 12 due by 11:59pm, Saturday, April 5: Sections B.3, B.4, 8.1, 8.2
  • Homework 13 due by 11:59pm, Saturday, April 12: Sections 8.3, 8.4, 8.5
  • Homework 14 due by 11:59pm, Saturday, April 19: Sections 8.6
• Quizzes
  • One attempt is allowed on each problem. There are 10 problems on each quiz. The time limit on each quiz is 40 minutes. Quizzes are available beginning 3 days before their deadline. We have scheduled 10 quizzes.
  • Quiz 1 due by 11:59pm, Tuesday, January 21: Chapter 1
  • Quiz 2 due by 11:59pm, Tuesday, January 28: Chapter 2
  • Quiz 3 due by 11:59pm, Tuesday, February 11: Chapter 3
  • Quiz A due by 11:59pm, Tuesday, February 18: Appendix A
  • Quiz 4 due by 11:59pm, Tuesday, February 25: Chapter 4
  • Quiz 5 due by 11:59pm, Tuesday, March 11: Chapter 5
  • Quiz 6 due by 11:59pm, Tuesday, March 25: Chapter 6
  • Quiz 7 due by 11:59pm, Tuesday, April 1: Chapter 7
  • Quiz B due by 11:59pm, Tuesday, April 8: Appendix B
  • Quiz 8 due by 11:59pm, Tuesday, April 22: Chapter 8
• Exams
  • One attempt is allowed on each problem. There are 20 problems on each exam. The time limit on each exam is 80 minutes. Exams are available beginning 5 days before their deadline. We have scheduled 4 exams.
  • Exam 1 due by 11:59pm, Thursday, January 30: Chapters 1, 2
  • Exam 2 due by 11:59pm, Thursday, February 27: Chapters 3, 4, Appendix A
  • Exam 3 due by 11:59pm, Thursday, March 27: Chapters 5, 6
  • Exam 4 due by 11:59pm, Thursday, April 24: Chapters 7, 8, Appendix B
• Final Exam
  • One attempt is allowed on each problem. There are 30 problems on the final exam. The time limit on the final exam is 120 minutes. The final exam is available beginning 7 days before the deadline. We have scheduled 1 final exam.
  • Final Exam due by 11:59pm, Saturday, April 26: Chapters 1-8, Appendices A, B

Handouts

• Announcements
  • Schmidt Award
  • Math Graduate Award
  • Honors Program introduction
  • Tutoring Center services
• Graph Paper is a folder containing a variery of graph paper
  • Rectangular Grids 1 Large Coarse
  • Rectangular Grids 1 Large Medium
  • Rectangular Grids 3 Small
  • Rectangular Grids 6 Small
  • Rectangular Grids 3 Wide
  • Polar Grids 1 Large
  • Polar Grids 3 Small
  • Polar Grids 6 Small
• Formulas
  • Fundamental Trigonometry Identities
• Rationalizing Denominators
  • Rationalizing Denominators
  • Rationalizing Denominators Examples
• Angles
  • Angles
  • Angle Relationships and Similar Triangles
  • Angle Between Clock Hands
• 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
  • Translations of the Graphs of Sine and Cosine Functions
• Item Analysis
  • Quizzes - 1, 2, 3, A, 4, 5, 6, 7, B, 8
  • Exams - 1, 2, 3, 4
  • Final Exam

Videos

• Playlists
  • MTH-121 Recommended Problems
  • MTH-121 Topics
• Recommended Problems
  • Chapter 1
    • 1-1-59, 1-2-43, 1-5-61
• Topics
  • Right Triangles
    • Three Famous Right Triangles
  • Similar Triangles
    • Using Similar Triangles
  • Trigonometric Functions
    • Defining the Trigonometric Functions
  • 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
  • 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
  • The Bounding Box