Multivariable Calculus
Chapter 9: Vectors and the Geometry of Space
| Date | Topics and Concepts | Homework |
| Tuesday 26 August 2008 | Introductions and class expectations. Introduction of three dimensions. Preview 9.2 vectors. | Do 9.1 (pp 641 – 642): 1, 5, 9, 13, 19, 21, 23, 25, 27, 35. |
| Thursday 28 August | Vector definitions, vector addition, scalar multiplication,
components, length/magnitude, unit vectors. |
Do 9.2 (pp 649 – 651): 1, 5, 7, 9, 17, 21, 23, 25, 27, 31, 33. |
| Tuesday 2 September | The dot product, work, definition – both forms, orthogonal, cos Q, component, vector projection. |
Do 9.3 (pp 655 – 657): 1, 3, 5, 13, 17, 19, 23, 29, 31. |
| Thursday 4 September | The cross product, torque, definition – both forms, review of the determinant of a 3 x 3 matrix, orthogonal vector created, parallel, properties, sin Q, scalar triple product (parallelpiped) |
Do 9.4 (pp 664 – 665): 1, 3, 5, 7, 9, 15, 17, 19, 23, 29. |
| Monday 8 September | Vector and parametric equations in three space, symmetric, equations of lines, equations of planes. |
Do 9.5 (pp 673 – 675): 1, 3, 5, 9, 13, 15, 19, 23, 27. |
| Wednesday 10 September | More on equations of lines and planes in three dimensions. Angle and intersection between two planes, distance from a point to a plane, distance between planes, distance between lines. | Do 9.5 (pp 673 - 675): 31, 35, 37, 41, 43, 45, 47, 49.
|
| Friday 12 September | Functions of two variables, domain, graphs, types of functions in three space, traces, quadratic surfaces. Mathematica Graphing. Grapher Graphing. |
Do 9.6 (pp 683 – 684): 1, 2, 3, 5, 7, 13, 15, 19, 23, 25. Assign Problem Set #1. |
| Tuesday 16 September | Cylindrical coordinates, definitions, spherical coordinates, definitions. |
Do 9.7 (pg 689): 5 – 21 odd, 25, 27. . |
| Thursday 18 September | Review Chapter 9 | Problem Set #1 due. Assign Problem Set #2 |
| Monday 22 September | Test Chapter 9 | Work on Problem Set #2. |
| Wednesday 24 September | Vector functions, limits, space curves, types, intersections. |
Do 10.1 (pp 700 – 701): 1, 5, 7, 8, 9, 10, 15, 19, 21, 34. Problem Set #2 due. |
| Friday 26 September | Derivatives of a vector valued function, tangents to a space curve, rules of differentiation, integrals of space curves | No Homework Weekend |
Email Kevin