Skip to main content

Math With Mrs. Avigdor

Home
MGS21QT
MCS65C
Exam Information
Exam Corrections
General Information
AMC Information
Summer Programs
About Us


MCS65QMM                                             Test  Thursday Dec 21, 2017    

Outline of topics covered by exam:
  • Functions of two/three variables:  domain, graphs, level curves/surfaces, limits
  • Average rate of change 
  • Partial derivatives
  • Definition of differentiablity for a function of 2 variables
  • Relationship between differentiability  and continuity
  • Interpreting partial derivatives as slope
  • Equations for tangent line/plane
  • Using tangent plane to approximate function values (ie: linear approximations)
  • Chain Rule for functions of more than one variable
  • Related Rate problems for functions of more than one variable
  • Directional Derivatives
  • Gradients - operational, optimal, and normal properties (+ calculating)

HW's: 23-38             Lessons: Nov 10-Dec 15

What to bring on the day of the test-

  • pencil/eraser
  • Ink pen (blue, black, dark green, dark turquoise or dark purple) - for final answers.  
  • yes, you may highlight your work with colored pens/pencils but no red and no yellow!

  • NO calculators allowed! 

 
*******************************************************************************************************************************************

MCS65QMM                                             Test  Thursday Nov 16, 2017     


                                                            Answer Key Solution Guide Nov 16


 Outline of topics covered by exam:

  • Writing equations for lines and planes in R^3
  • Vector-Valued Functions of a Single Variable- see next entries!  
  • domains, as representations for a space curve, parametric equations for intersection of two surfaces

  • limits, continuity, derivatives/integrals(calculating and properties)
  • tangent vector/tangent line, unit tangent vector, principle unit normal vector, binormal vector
  • curvature, osculating circle, osculating plane and normal plane
  • parameterizing curve using arclength
  • the position vector, the velocity vector, acceleration vector, tangential and normal components of acceleration

HW's: 10-22             Lessons: Oct. 3 -Nov. 9

What to bring on the day of the test-

  • pencil/eraser
  • Ink pen (blue, black, dark green, dark turquoise or dark purple) - for final answers.  
  • yes, you may highlight your work with colored pens/pencils but no red and no yellow!

  • NO calculators allowed!


*******************************************************************************************************************************************

MCS65QMM                                             Test  Thursday Oct 5, 2017       


                                                            Answer Key_Solution Guide_Oct 5


Outline of topics covered by exam:


·        Interpreting linear equations in 3-space  (not writing equations for lines in 3-space!)

·        Distance between two points in space - Equation for sphere

·        Cylinders - finding traces for graph

       Quadric Surfaces - identifying and finding traces for graph

·        Vector Basics - including vector addition, scalar multiplication, unit vectors, Cauchy Schwarz inequality, Triangle inequality

·        Dot (inner) product - calculated algebraically by components, geometric definition, algebraic properties

·        Direction angles, direction cosines

·        Projections - including orthogonal and the component of a vector along another vector

·        Cross product - how to find (as a determinant), geometric properties, geometric definition, algebraic properties

·        Application of cross product to area of parallelogram and volume of parallelepiped

·        Scalar Triple Product - Vector Triple Product



HW's: 1-9b          Lessons: 9/4/17-10/2/17

What to bring on the day of the test-

  • pencil/eraser
  • Ink pen (blue, black, dark green, dark turquoise or dark purple) - for final answers.  
  • yes, you may highlight your work with colored pens/pencils but no red and no yellow!

  • NO calculators allowed!