- Hour exam 1
- Next Monday (Oct. 5)
- Covers material up through Oct. 2 (this Friday), e.g., 3D coordinates, surfaces, vectors & operations on them, lines & planes, vector-valued functions & their derivatives & integrals, arc length, curvature
- 4 - 6 short-answer questions, similar to problem sets
- Full class period
- Open reference materials (book, notes, computer); closed person
- Problem set
- For vectors in more than 3 dimensions, component notation (⟨ , , , , …, , , ⟩) doesn’t need names for dimensions
- Planes for problem set 3 question 3:
the one you want to find contains the two given points and is
parallel to the other plane’s normal
- Basic idea: add an extra parameter that represents animation time, and give it a range when plotting
- Example: an animated version of Friday’s snake
- Section 13.2
- Integrate each component
- Examples
- Indefinite integration
- Definite integration
- Initial value problem
- Basic tactic is to integrate and then use initial value to find
C vector
- Basic tactic is to integrate and then use initial value to find
C vector
- Indefinite integration
- Lengths of curves from vector-valued functions
- Read section 13.3