- Colloquium
- “Controllability of Graphs”
- Two meanings of “graph”
- This talk is about the network kind of graph and understanding interactions in networks
- Two meanings of “graph”
- Dr. Cesar Aguilar, California State University Bakersfield
- Monday (Feb. 22), 4:00 PM, Newton 201
- Extra credit for short write-ups on how you connect the talk to other courses, interests, etc.
- “Controllability of Graphs”
- Exam 1 is next Thursday (Feb. 25)
- Material since start of semester (e.g., 3D coordinates and surfaces, vectors
and their products, lines, planes, vector-valued functions, their derivatives,
limits, integrals, arc length, muPad, etc.)
- Probably not curvature
- Whole class period
- 4 - 6 short-answer questions
- Open references (book, notes, computer), closed person
- Can use calculators, CASes, etc.
- But tell me!
- If there’s a mistake in an answer and I don’t know whether you used a calculator on it, I may assume it reflects a lack of knowledge on your part when in fact you just pressed the wrong calculator key by mistake
- Material since start of semester (e.g., 3D coordinates and surfaces, vectors
and their products, lines, planes, vector-valued functions, their derivatives,
limits, integrals, arc length, muPad, etc.)
- Example: ball launched at origin, 60 degrees up, horizontal component
parallel to ⟨1,1,0⟩, speed 120 in/sec
- Section 13.3
- Basic length equations
- Unit tangent vector
- Arc length parameterization?
- Idea is to describe points on a curve as functions of their distance from
“starting” point
- Idea is to describe points on a curve as functions of their distance from
“starting” point
- Basic length equations
- Examples
- Unit circle (something you can double-check)
- r(t) = ⟨ cos t, sin t, 0 ⟩
- More arc length examples