SM221

Multivariable Calculus with Vectors

 

 

Access to Homework Solutions Restricted to Students in my Classes

 

Vector Calculus Summaries (2 Versions):   Version 1   Version 2

Policy Syllabus Tests Final Applets Email vjmath.com

Block I

Introduction to Vectors and Multivariable Functions

Block II

Partial Derivatives, Directional Derivatives, Gradients

Block III

Multiple Integration in Rectangular, Polar, and Spherical Coordinates

Block IV

Vector Calculus, Line/Surface Integrals, Greens/Stokes/Divergence Theorems

Sample Test 1

Solutions

Sample Test 2

Solutions

Sample Test 3

Solutions

Sample Test 4

Solutions

Test 1

Solutions

Test 2

Solutions

Test 3

Solutions

Test 4

Solutions

Note:  If solutions contain errors (not probable, but possible), email me and I will post corrections.
Test 1 Results (RAW) Test 2 Results (RAW) Test 3 Results (RAW) Test 4 Results (CURVED)
Section 1 Section 1 Section 1 Section 1
Lo μ +/- σ Hi Lo μ +/- σ Hi Lo μ +/- σ Hi Lo μ +/- σ Hi
38 73.8 +/- 14.4 94 53 83.78 +/- 12.42 97 43 80.63 +/- 15.89 100 49.8 73.42 +/- 16.65 100
F D C B A F D C B A F D C B A F D C B A
5 2 4 8 1 1 2 3 6 8 2 2 5 4 7 5 4 3 4 3
Section 2 Section 2 Section 2 Section 2
Lo μ +/- σ Hi Lo μ +/- σ Hi Lo μ +/- σ Hi Lo μ +/- σ Hi
32 62.7 +/- 19.4 100 38 73.15 +/- 17.08 96 37 79.35 +/- 16.09 100 44.8 74.09 +/- 12.13 100
F D C B A F D C B A F D C B A F D C B A
10 3 4 1 2 3 4 5 4 4 2 2 5 5 6 2 5 6 6 1