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Instructor: Jeffrey Connors

E-mail: jeffrey.connors@uconn.edu

Office: ACD 114C

Office hours: M,W 3:15-4:15 PM, or just drop by anytime to see if I am available, or e-mail me to make an appointment.

Class time and room: M,W 1:25 - 3:05 PM in ACD 207.

Text:*Calculus, 8th Edition* by Stewart. UConn has a custom edition, but it may be possible to use other editions. You will need to have WebAssign access (you purchase an access code), which comes with the version in the bookstore. But you can always contact WebAssign/Cengage to discuss things case-by-case.

The multivariable calculus course extends many of the techniques developed in the first two semesters of calculus to multiple dimensions, which is needed to model real-world phenomena. Some examples are vectors, rates of change in different directions, and integration along a path, over a surface or volume. A complete list of topics is shown in the schedule below.

PDF SYLLABUS

**Class notes:** Slides will be available online to download freely,
well in advance of the scheduled lectures (links appear below). Class time
should **NOT** be spent transcribing the slide contents into your
personal notes. Minimal note taking should be required; please do so in a
way that does not require everyone to always wait for you to catch up!

Grading scheme 2:

The exam for the fourth chapter grade is the ``final exam'', but this is treated no differently from the other exams aside from being scheduled as described below. Make-up exams will only be available with permission granted prior to the start of the exam. There must be extenuating circumstances to receive permission for a make-up exam.

**Final exam:** Wednesday, Dec. 13 from 1 PM - 3 PM in ACD 207 (usual room).

E-mail: jeffrey.connors@uconn.edu

Office: ACD 114C

Office hours: M,W 3:15-4:15 PM, or just drop by anytime to see if I am available, or e-mail me to make an appointment.

Class time and room: M,W 1:25 - 3:05 PM in ACD 207.

Text:

The multivariable calculus course extends many of the techniques developed in the first two semesters of calculus to multiple dimensions, which is needed to model real-world phenomena. Some examples are vectors, rates of change in different directions, and integration along a path, over a surface or volume. A complete list of topics is shown in the schedule below.

PDF SYLLABUS

**Homework:** Homework will be assigned for each lecture. We will use the
WebAssign system: www.webassign.net.
Homeworks are intended to help prepare you for specific exams. All homework
pertaining to a certain exam is due at the start of that exam. Late
homework therefore fails to achieve the purpose of helping to prepare you for
the exam, and is not accepted under any circumstances.

**Worksheets:** These will be administered most classes and will be related
to the material covered during the previous lecture. They may be worked individually or in groups, but there is a time limit. The answers are covered in
class with open discussion, but they are collected for credit to ensure serious
participation and to provide comments, if applicable. No worksheet
grades will be dropped. There will be no make-ups without
receiving permission prior to the start of class.

**Calculators:** The use of calculators will not be permitted on exams. Calculators may be used on homework and worksheets.

**Grading policy:**
The course grade consists of four equally-weighted
parts: CG = 0.25*(A+B+C+D), where A, B, C and D are the * chapter
grades *. Essentially, grade A corresponds to the book chapters 12 and
13. Grades B, C and D correspond to book chapters 14, 15 and 16,
respectively. Not all of the material in the chapters is covered (see below).
Each chapter grade is independently calculated two ways, as shown below, and taken to be the best of the two results:

Grading scheme 1:

Homework | 20% |

Worksheets | 5% |

Exam | 75% |

Grading scheme 2:

Homework | 0% |

Worksheets | 0% |

Exam | 100% |

The exam for the fourth chapter grade is the ``final exam'', but this is treated no differently from the other exams aside from being scheduled as described below. Make-up exams will only be available with permission granted prior to the start of the exam. There must be extenuating circumstances to receive permission for a make-up exam.

Date | Book Sections | Topics | Notes |
---|---|---|---|

Aug. 28 | 12.1 | 3D coordinates, vectors | slides |

Aug. 30 | 12.2-12.3 | Vectors and dot products | Worksheet slides |

Sept. 4 | Labor Day - no class | ||

Sept. 6 | 12.4-12.5 | Cross products, lines, planes | Worksheet slides |

Sept. 11 | 12.6, 13.1 | Surfaces, vector functions | Worksheet slides |

Sept. 13 | 13.2, 13.3 | Derivatives, integrals, arc length, curvature | Worksheet slides |

Sept. 18 | 13.3, 13.4 | Arc length, curvature, velocity, acceleration | Worksheet slides |

Sept. 20 | 12.1-13.4 | Review for Exam 1 | Worksheet slides Worksheet solutions |

Sept. 25 | Exam 1 | ||

Sept. 27 | 14.1-14.2 | Functions, limits and continuity | slides |

Oct. 2 | 14.3, 14.4 | Partial derivatives, linear approximations | Worksheet slides |

Oct. 4 | 14.5, 14.6 | Chain Rule, directional derivatives | Worksheet slides |

Oct. 9 | 14.7, 14.8 | Maxima and minima, Lagrange multipliers | Worksheet slides |

Oct. 11 | 14.1-14.8 | Review for Exam 2 | Worksheet slides Worksheet solutions |

Oct. 16 | Exam 2 | ||

Oct. 18 | 15.1, 15.2 | Double integrals, Fubini's Theorem | slides |

Oct. 23 | 15.3, 15.4 | Other regions of integration | Worksheet slides |

Oct. 25 | 15.5, 15.6 | Applications of double integrals | Worksheet slides |

Oct. 30 | 15.7, 15.8 | Triple integrals | Worksheet slides |

Nov. 1 | 15.9, 15.10 | Spherical coordinates, change of variables | Worksheet slides |

Nov. 6 | CH. 15 | Review for Exam 3 | Worksheet slides Worksheet solutions |

Nov. 8 | Exam 3 | ||

Nov. 13 | 16.1, 16.2 | Vector fields, line integration | slides |

Nov. 15 | 16.3, 16.4 | Line integrals, Green's Theorem | Worksheet slides |

Nov. 20 | Thanksgiving break - no class | ||

Nov. 22 | Thanksgiving break - no class | ||

Nov. 27 | 16.5, 16.6 | Curl, divergence, parametric surfaces | Worksheet slides |

Nov. 29 | 16.7, 16.8 | Surface integrals, Stoke's Theorem | Worksheet slides |

Dec. 4 | 16.8, 16.9 | Stoke's and Divergence Theorems | Worksheet slides |

Dec. 6 | All | Review for final exam | Worksheet slides Worksheet solutions |

Dec. 13 | FINAL EXAM |