Unit 9:  Intro to Vector Calculus

Unit 9:  Intro to Vector Calculus

COVID Era Unit 9 Videos

• Day 38:  Start Vectors

  • • Vector Worksheet 1

      • • Vector Worksheet 1 Answers

    • Missed class today???  Only 87 slides in today's lecture...

• Day 39:  Algebra 1 in Vector Form

  • • Vector Notes Sheet

    • Vector Worksheet 2

      • • Vector Worksheet 2 Answers

    • Watch all of these Videos:

      • • Video 0.5:  Equations of Lines in Vector Space

        • Video 1:  Let's Race!

        • Video 2:  Standard Cartesian Form 

        • Video 3:  Converting from Cartesian to Vector 

        • Video 4:  Converting from Vector to Cartesian

        • Video 5:  Perpendicular Bisectors

        • Video 1:  How Many Ways Can You Solve a 2x2 System of Equations?

        • Video 2:  Solving Systems of Equations using Vector Methods BEST METHOD EVER!

        • Video 3:  One More Example

• Day 40:  Unauthorized Field Trip Day for Seniors.  Workday for the rest.  (45)

  • • Vector Notes Sheet

    • Vector Worksheet 3 (ignore all problems about "distance" or "projection")

      • • Vector Worksheet 3 Answers

    • Vector Worksheet 4 (ignore all problems about "distance" or "projection")

      • • Vector Worksheet 4 Answers

    • Hey Juniors!!!  Watch all of these Videos:

      • • Video 6:  Vector Projection and Scalar Projection

        • Video 7:  Distance from a Point to a Line (Vector)

        • Video 8:  Distance from a Point to a Line (Cartesian)

• Day 41:  Vector Projection and Distance, OSAS Testing for Juniors

  • • Hey Juniors!!!  Watch all of these Videos:

      • • Video 6:  Vector Projection and Scalar Projection

        • Video 7:  Distance from a Point to a Line (Vector)

        • Video 8:  Distance from a Point to a Line (Cartesian)

    • Vector Notes Sheet

    • Vector Worksheet 3 (NOW do all problems about "distance" or "projection")

      • • Vector Worksheet 3 Answers

    • Vector Worksheet 4 (NOW do all problems about "distance" or "projection")

      • • Vector Worksheet 4 Answers

• Day 42: Requests and 2D Vector Workday

• • • Master ALL of the 2D Worksheets

• Day 43:  3D Vector Basics, Equations of Planes

  • • Transitioning from 2D to 3D

    • Be able to find the norm of a 3D vector

    • Be able to add, subtract, and compute the dot product of any two 3D vectors

    • Be able to find the equation of a line given 2 points

    • Be able to find the equation of a plane given its normal vector and 1 point

• Day 44:  BIG PROBLEM #1, Big Problem #2, Distance, other stuff

  • • Practice calculating the cross product of two 3D vectors.  Do an infinite number of these

    • Practice BIG PROBLEM #1 an infinite number of times (given 3 points, find the equation of the plane that contains them).  Be sure to VERIFY

    • Practice Big Problem #2 an infinite number of times (given 2 planes, find the line of intersection).  Be sure to VERIFY

    • Vector Worksheet 5

      • • Vector Worksheet 5 Answers

    • Vector Worksheet 6

      • • Vector Worksheet 6 Answers

    • Derivation of 3D distance from a point to a line

• Day 44.5:  3D Lines, Distance, the rest of the stuff, Doing the Square Problem

  • • Practice Big Problem #1 an infinite number of times

    • Practice Big Problem #2 an infinite number of times

    • Vector Worksheet 5

      • • Vector Worksheet 5 Answers

    • Vector Worksheet 6

      • • Vector Worksheet 6 Answers

    • Derivation of 3D distance from a point to a line

• Day 45:  3D Requests,  CLASS PICTURE DAY (45)

  • • Finish all 3D worksheets

    • Practice Big Problem #1 an infinite number of times

    • Practice Big Problem #2 an infinite number of times

• Day 46:  Vector Exam 

• • • YAY!!!  NO HOMEWORK!!! For seniors, maybe never again??

• Day 47:  Books and Calculators Returned, Important Vital Movie Day #1

• Day 48:  Important Vital Movie Day #2 (45)

• Day 49:  Important Vital Movie Day #3

• Day 50:  Last Day (75)