Syllabus for MAT203 Calculus III with Applications
| Date | Planned | Actually Covered |
| 1/25 | Early Exam for Review : Graded by classmates. Scores will NOT be recorded. | Done |
| 1/27 | Vectors in the Plane and Space : 10.1
, 10.2 |
Only did
10.1... ... I will catch up in 2 classes though! |
| 2/1 | Dot and Cross Products :
10.3 , 10.4 |
10.2, 10.3 10.4 was briefly introduced |
| 2/3 | Dot and Cross Products (cont'd) :
10.3 , 10.4 Matrix Multiplication : (not in textbook) Lines and Planes in Space : 10.5 |
Links to
materials explaining matrix multiplications: link1
link2
link3 Covered 10.3,10.4 |
| 2/8 | Lines and Planes in Space (cont'd) :
10.5 Surfaces : 10.6 |
Covered 10.6 and
introduced 10.5 |
| 2/10 | Cylindrical & Spherical
Coordinates : 10.7 Vector Valued Functions : 11.1 , 11.2 |
Covered 10.5 and 11.1 |
| 2/15 | Vector Valued Functions (cont'd) :
11.1 , 11.2 Velocity and Acceleration : 11.3 |
Covered 10.7 and 11.2 |
| 2/17 | Tangent and Normal Vectors : 11.4 Arc length : 11.5 |
Covered 11.3, 11.4 |
| 2/22 | Functions of Several Variables : 12.1
Limits and Continuity : 12.2 Partial Derivatives : 12.3 |
Covered 11.5, 12.1 |
| 2/24 | Differentials and Chain Rules :
12.4,12.5 |
Covered 12.2, 12.3,
12.4 |
| 3/1 | Directional Derivatives and Gradients
: 12.6 |
Covered 12.5-12.6 |
| 3/3 | Review | Review |
| 3/8 | MIDTERM 1 : Important notes here. | Cancelled due to snow |
| 3/10 | SYLLABUS BELOW THIS DATE HAS BEEN MODIFIED on MAR 18 2005. |
MIDTERM I !!! |
| 3/15 | Tangent Planes and Normal Lines : 12.7 Extrema of Functions of two variables : 12.8 |
As planned. |
| 3/17 | Extrema of Functions of two variables
(cont'd) : 12.8 Vector Fields (only until p1013): 14.1 |
As planned. |
| 3/22 | No Class, Spring Recess | |
| 3/24 | No Class, Spring Recess | |
| 3/29 | Applications of Extrema : 12.9 Lagrange Multipliers : 12.10 Iterated Integrals : 13.1 |
12.9-12.10 (Skipped regression lines) |
| 3/31 | Iterated Integrals (cont'd): 13.1 Double Integral : 13.2 |
As planned. |
| 4/5 | Mass, Center of Mass : 13.4 Change of Variables: Jacobians : 13.8 |
As planned. |
| 4/7 | Change of Variables: Polar
Coordinates : 13.3 Surface Area : 13.5 |
As planned. |
| 4/12 | MIDTERM 2 Important notes here. | |
| 4/14 | Triple Integrals : 13.6 Triple Integrals in Cylindrical and Spherical Coordinates : 13.7 |
|
| 4/19 | Line Integrals : 14.2 | |
| 4/21 | Conservative Vector Fields and Independence of Path : 14.3 | |
| 4/26 | SPECIAL*** Divergence and Curl :
14.1 Green's Theorem : 14.4 |
|
| 4/28 | Parametric Surfaces : 14.5 Surface Integrals : 14.6 |
|
| 5/3 | Divergence Theorem : 14.7 Stokes' Theorem : 14.8 |
|
| 5/5 | Review | |
| 5/12 | Final |