MATH 233 : Spring 2014

Mathematics Department

California State University-Bakersfield

Description: | Vectors and the geometry of space, space curves, parametric surfaces, | |

calculus of multivariable functions, tangent planes, double integrals | ||

Instructor: | Cesar Aguilar | |

Meeting Times: | TuTh @ 10:00-11:40 am | |

MoWe @ 11:20-12:40 pm | ||

Meeting Place: | Science III, Rm. 107 | |

Office Hours: | Mon-Fri 9-10 am | |

Wed & Thu 2-3 pm |

Course Syllabus

Week | Dates | Sections | Topics | Homework | Sets | Notes |
---|---|---|---|---|---|---|

1 |
Apr 01 - Apr 03 | §9.1-§9.4 | ℝ^{3}, vectors, u · v, u × v
| Homework 1 | Set 1 | |

2 |
Apr 07 - Apr 10 | §9.5, §9.6 | lines & planes, ƒ(x,y), surfaces z=ƒ(x,y) | Homework 2 | Set 2 | |

3 |
Apr 14 - Apr 17 | §10.1, §10.2 | space curves c(t), c'(t), ∫c(t) |
Homework 3 | Set 3 | Test 1 (Apr 14) HW 3 Solns |

4 |
Apr 21 - Apr 24 | §6.4, §10.3 | arc length & curvature of c(t)
| Homework 4 | Set 4 | HW 4 Solns |

5 |
Apr 28 - May 01 | §11.1, §11.2 | ƒ(x_{1},x_{2},…,x_{n}), limits, continuity |
Homework 5 | None | Test 2 (May 1) |

6 |
May 05 - May 08 | §11.3, §11.4 | ∂ƒ/∂x_{i}, tangent planes |
Homework 6 | Set 6 | |

7 |
May 12 - May 15 | §11.5, §11.6 | D(ƒ○g)=(Dƒ)(g)·Dg, ∇ƒ, ∇ƒ· u |
Homework 7 | Set 7 | |

8 |
May 19 - May 22 | §11.7, §11.8 | optimization, Lagrange multipliers | Homework 8 | None | Test 3 (May 22) |

9 |
May 26 - May 29 | §12.1, §12.2 | ∫∫ over rectangles, Fubini's Theorem | Homework 9 | Set 9 | No Class - May 26 |

10 |
Jun 02 - Jun 05 | §12.3 | ∫∫ over general regions | Homework 10 |