Mondays 4:30-5:30 PM

Wednesdays 10:30-11:30 AM

Thursdays 2:30-3:30 PM

Fridays 9:30-10:30 AM

or by appointment

Syllabus

Homework Assignments Quiz Topics

Class Date | Section | Topics | Desmos Link |
---|---|---|---|

Sept. 4 | 10.1 (pgs. 559-562) | coordinate planes, distance in space, standard equation of a sphere | Day 1 |

Sept. 6 | 10.2, 10.3 (pgs. 574-582, 588-589) | vector, initial point, terminal point, magnitude, component form, vector algebra properties of vector operation, unit vector, dot product | Day 2 |

Sept. 9 | 10.3 (pgs. 589-595) | dot product and angles, orthogonal vectors, orthogonal projection, | |

Sept. 11 | 10.4, 11.1 (pgs. 601-605, 631-635) | cross product, right hand rule, vector-valued functions, vector | Vector Valued Functions |

Sept. 13 | 10.5, 10.6 (pgs. 612-617, 623-624) | parametric and symmetric equations of a line, skew lines, normal vectors, standard and general form for planes | Lines and Planes |

Sept. 16 | 10.6, 12.1 (pgs. 625-627, 683-684) | parallel planes, multivariable functions | Slices |

Sept. 18 | 12.1, 12.2 (pgs.685-688, 690-698) | level curve, open disk, boundary point, interior point, open, closed, bounded sets, limits, continuity | More Level Curves |

Sept. 20 | 12.3 (pgs. 700-707) | partial derivative with respect to x and with respect to y | Partial Derivatives |

Sept. 23 | 12.3(pgs. 708-710) | second partial derivatives, Clairaut's Theorem (Theorem 12.3.1) | 2nd Partials |

Sept. 25 | 12.7 (pgs.739-740, 745-746) | tangent plane | Tangent Plane |

Sept. 27 | Exam 1 | ||

Sept. 30 | 12.5 (pgs. 721-725) | multivariable chain rule | |

Oct. 2 | 12.6 (pgs. 729-730) | directional derivatives | Directional Derivatives |

Oct. 4 | 12.6, 12.7 (pgs. 731-737, 746-747) | gradient | |

Oct. 7 | 12.8 (pgs. 749-751) | critical point, saddle point | Maximum and Minimums |

Oct. 9 | 12.8 (pgs. 752-754) | 2nd Derivative Test | |

Oct. 11 | 12.8 (pgs. 754-757) | Extreme Value Theorem, absolute maximum, absolute minimum | Optimization |

Oct. 16 | see Moodle for notes | Lagrange multiplier, method of Lagrange multipliers | Lagrange Multipliers |

Oct. 18 | 13.2 (pgs. 769-770) | Riemann sums, double integrals | Single Variable Example |

Oct. 21 | 9.4 (pgs. 533-543) | polar coordinates, polar functions | |

Oct. 23 | Exam 2 | ||

Oct. 25 | no class | LEAP Symposium | |

Oct. 28 | 13.1 (pgs. 759-766) | iterated integrals | Iterated Integrals |

Oct. 30 | 13.2 (pgs. 771-778) | Fubini's Theorem, properties of double integrals, changing order of integration | Double Integral Regions |

Nov. 1 | 13.3 (pgs. 780-781) | double integrals and polar coordinates | 3d Integral Pictures |

Nov. 4 | 13.3 (pgs. 782-785) | more polar coordinates and procedure for triple integrals | |

Nov. 6 | 13.6, 13.7 (pgs. 808, 828, 831-832) | motivation for triple integral, cylindrical and spherical coordinates | |

Nov. 8 | 13.6 (pgs. 809-818, 829-830, 833) | setting up triple integrals |

Due date | Problem Set |
---|---|

Sept. 6 | Homework 1 |

Sept. 10 | Homework 2 |

Sept. 13 | Homework 3 |

Sept. 17 | Homework 4 |

Sept. 20 | Homework 5 |

Sept. 24 | Homework 6 |

Oct. 1 | Homework 7 |

Oct. 4 | Homework 8 |

Oct. 8 | Homework 9 |

Oct. 11 | Homework 10 |

Oct. 18 | Homework 11 |

Oct. 29 | Homework 12 |

Nov. 1 | Homework 13 |

Nov. 5 | Homework 14 |

Quiz | Posting Date | Due Date | Section(s) |
---|---|---|---|

# 1 | Sept. 10 | Sept. 11 | 10.1 and 10.2 (testing your knowledge of definitions and basic properties) |

# 2 | Sept. 17 | Sept. 18 | 10.3-10.5 |

# 3 | Oct. 1 | Oct. 2 | 12.3, 12.7 |

# 4 | Oct. 8 | Oct. 9 | 12.3, 12.5, 12.6 |

# 5 | Oct. 29 | Oct. 30 | 9.4, Lagrange multipliers |

# 6 | Nov. 4 | Nov. 7 | 13.1, 13.2 |