MTH-115-03 Calculus III

Items

• 
  Final Project

  Using cross product to find torque on a wrench.
• 
  Curvature in real life

  Animation: real life application of curvature
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  P.2 I can compute partial derivatives of functions of several variables

  Computing partial derivative of x,y,z
• 
  Topographic maps and contour lines

  Explaining how level curves are used to create topographic maps
• 
  Learning Target P4

  Working through how to compute the gradient and directional derivatives of functions of several variables
• 
  VF.4`

  Finding the arc length of space curves.
• 
  LP1

  Determining the equation of a line using vectors
• 
  Partial derivatives

  How to find the partial derivatives of functions of more than one variable.
• 
  Partial derivatives

  P.2
• 
  Vector-valued Functions

  VF. 2
• 
  P.4

  I can compute the gradient and directional derivatives of functions of several variables.
• 
  Final Project

  The use of matrices in the real world
• 
  Standard Matrix opporations

  Addition, subtraction and multiplication of matrixes, as well as the products of matrixes.
• 
  Course Project

  Finding Arc Length
• 
  LCP9 P.3

  How to compute derivatives using chain rule #1 and #2 for partial derivatives
• 
  Computing Derivatives

  Computing derivatives using chain rule
• 
  Cross products of vectors and interpreting them on a graph

  Exactly what it says on the tin, except 2 months late.
• 
  equations of lines

  writing equations of lines using vectors
• 
  P.3.

  Computing partial derivatives using both chain rules
• 
  P.4

  I can compute the gradient and directional derivatives of functions of several variables.
• 
  LCP7 VF.3

  How to compute velocity, speed, and acceleration from a vector at a specific point t
• 
  VF1 I can define vector functions and sketch curves in 3-space.

  Mainly talk about three types of vector function and how to draw them.
• 
  Unit tangent, Normal, and Binormal vectors

  Showing how to calculate unit tangent, normal, and binormal vectors
• 
  Arc Length

  Demonstrating how to find arc length!