Dave's Web Corner

MTH-121 Week 12 (March 24-30)

• Outline
• Assessments
• Handouts
• Videos
• Technology

Outline

B.1 Vectors

• recommended problems
  • 5, 11, 17, 21, 23, 29, 31, 37, 39, 43, 47, 49, 53, 55
• learning objectives
  • know vector notation in component form
  • add and subtract vectors in component form
  • add and subtract vectors graphically
  • use vectors to solve applied problems

B.2 Dot Product of Vectors

• recommended problems
  • 3, 5, 7, 13, 15, 17, 21, 23, 27, 29, 37, 39, 45, 49, 55
• learning objectives
  • find the dot product of two vectors
  • determine the angle between two vectors
  • determine whether two vectors are orthogonal
  • calculate the projection of a vector onto another vector
  • calculate the parallel and perpendicular components of a vector
  • solve applied problems using dot products

B.3 Vectors in Space

• recommended problems
  • 3, 5, 7, 9, 11, 13, 19, 23, 27, 31, 3, 37, 39, 43, 45
• learning objectives
  • observe how everything learned about vectors in the plane, including the calculations of addition, subtraction, scalar multiplication, magnitude, dot product, angle, and projection, can be extended to three-dimensional space
  • understand the representation of a vector with the direction angles, sometimes called the direction cosines

B.4 Cross Products of Vectors

• recommended problems
  • 1, 3, 7, 9, 13, 15, 19, 21, 33, 35, 37, 39, 41, 43, 47, 49
• learning objectives
  • calculate \( 2 \times 2 \) and \( 3 \times 3 \) determinants
  • calculate the cross product of two three-dimensional vectors
  • cross products and orthogonality
  • cross products and area
  • calculate the volume of a parallelepiped with the Scalar Triple Product

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Calendar of all XYZ Homework assessment deadlines (homework, quizzes, exams)
• Homework
  • Homework 12 due by 11:59pm, Saturday, November 16: Sections B.1, B.2, B.3, B.4
  • Homework 13 due by 11:59pm, Saturday, November 23: Sections 8.1, 8.2, 8.3
• Quiz
  • Quiz 7 due by 11:59pm, Tuesday, November 12: Chapter 7
  • Quiz B due by 11:59pm, Tuesday, November 19: Appendix B
• 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 6
  • Chapter 7
• Topics
  • Right Triangles
    • Three Famous Right Triangles
  • Simplifying and Identities
    • Simplifying to Expressions with Sine and Cosine
  • 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