![[PDF]](../graphics/pdf.gif){kind=small}
|
|
Policies and practicalities (10am) |
|
|
Policies and practicalities (11am) |
|
|
Worksheet : 2 and 3-dimensional space |
|
|
Solution |
|
|
Worksheet : Vectors |
|
|
Solution |
|
|
Worksheet : Dot product |
|
|
Solution |
|
|
Worksheet : Cross product. Question 2 on the first side is missing. It should be section 9.4 Q6 on page 674 of Stewart. |
|
|
Solution |
|
|
Worksheet : Lines and Planes |
|
|
Solution |
|
|
Worksheet : Surfaces |
|
|
Solution |
| Note that for copyright reasons I cannot post the second part of the worksheet on the web. If you would like a copy, please ask me during office hours. |
|
|
Worksheet : Cylindrical and Spherical Polar Co-ordinates |
|
|
Solution |
| Note that for copyright reasons I cannot post the second part of the worksheet on the web. If you would like a copy, please ask me during office hours. |
|
|
Worksheet : Curves in 3D Space |
|
|
Solution |
|
|
Worksheet : Differentiating Vector-Valued Functions |
|
|
Solution |
|
|
Worksheet : Arc Length / Parametrizing Surfaces |
|
|
Solution |
|
|
Worksheet : Parametrizing Surfaces / Functions of Several Variables |
|
| Solution |
|
|
Worksheet : Limits and Continuity |
|
| Solution |
|
|
Worksheet : Partial Derivatives |
|
| Solution |
|
|
Worksheet : Partial Derivatives |
|
|
Solution |
|
|
Worksheet : Differentiability / Chain Rule |
|
|
Solution |
|
|
Worksheet : Chain Rule / Directional Derivatives |
|
|
Solution |
|
|
Worksheet : Directional Derivatives / Gradient Vector |
|
|
Solution |
|
|
Correction to the example on implicit differentiation |
|
|
Worksheet : Maximizing and minimizing |
|
|
Solution |
|
|
Worksheet : Maximizing and minimizing II |
|
|
Solution |
|
|
Worksheet : Lagrange multipliers |
|
|
Extra : Everything is an optimization problem |
|
|
Solution |
|
|
Worksheet : Double Integrals |
|
|
Solution |
|
|
Worksheet : Double Integrals II |
|
|
Solution |
|
|
Worksheet : Double Integrals III |
|
|
Solution |
|
|
Worksheet : Polar Co-ordinates / Surface Area |
|
|
Solution |
|
|
Worksheet : Surface Area / Triple Integrals |
|
|
Solution |
|
|
Worksheet : Triple Integrals |
|
|
Solution |
|
|
Worksheet : Vector Fields |
|
|
Solution |
|
|
Worksheet : Line Integrals |
|
|
Solution |
|
|
Worksheet : Fundamental Theorem of Line Integrals |
|
|
Solution |
|
|
Worksheet : Green's Theorem |
|
|
Solution |
|
|
Worksheet : Curl and Divergence |
|
|
Solution |
|
|
Worksheet : Surface Integrals |
|
|
Solution (one page per file) |
|
|
Worksheet : Stokes' Theorem |
|
|
Solution (one page per file) |
|
|
Worksheet : Stokes' Theorem / Divergence Theorem |
|
|
Solution (one page per file) |