Dave's Web Corner

MTH-261 Week 2 (September 1-7)

recommended exercises
- 3, 9, 11, 17, 21, 25, 27, 31, 35, 39, 45, 49, 53, 55, 59, 63, 65, 67, 69, 71, 73, 79
learning objectives
- calculate the vector, parametric, and symmetric of a line through a given point in a given direction, and a line through two given points
- recognize parallel, intersecting, coincident, and skew lines in space
- write the vector and scalar equations of a plane through a point with a normal vector
- recognize parallel, intersecting, and coincident planes in space
- summarize and calculate the distances between points, lines, and planes
additional notes
- parametric, vector, and symmetric equations of lines
  - a line in space is determined by a point and a direction vector
- standard and vector equations of planes
  - a plane in space is determined by a point and a normal vector
- skew, intersecting, parallel, and coincident lines
- intersecting, parallel, and coincident planes
- intersections of line and plane or plane and plane
- basic distances are calculated with the appropriate direction or normal vectors
  - point-to-point, point-to-line, point-to-plane
  - line-to-line, line-to-plane
  - plane-to-plane

Deadlines
- All homework is due at the beginning of class on the date indicated.
- All exams are given in class on the date indicated.
- Late homework is not accepted and there are no make-ups for missed exams. Contact me before the deadline if you have a conflict with a deadline and we will find a mutually agreeable solution.
- Solutions are posted under these links after the deadline.
Homework
- due Thursday, September 5:
  - 1, 2, 3, 4, 5, 6, 7, 8
- due Thursday, September 12:
  - 9, 10, 11
- due Thursday, September 19:
  - 12, 13, 14, 15, 16
Exams
- Thursday, October 3: Exam 1
  - Exam 1 (solutions)
  - Exam 1 covers sections 12.1-12.6, 13.1-13.4, and 14.1-14.3