**Problem of the Week**

**Math Club**

**BUGCAT 2018**

**DST and GT Day**

**Number Theory Conf.**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

calculus:math_323:start

Section Number | Instructor | Meeting times |
---|---|---|

01* | Ulysses Alvarez | MWF 8:00-9:30 CW 307 |

02* | Yinsong Chen | MWF 8:00-9:30 CW 114 |

03 | Jonathan Williams | MWF 9:40-11:10 LN G412 |

04 | David Cervantes-Nava | MWF 11:20-12:50 LH 012 |

05 | Changwei Zhou | MWF 1:10-2:40 CW 327 |

06 | (cancelled) | |

07 | Amelia Mattern | MWF 2:50-4:20 CW 211 |

08 | (tentative) | MWF 2:50-4:20 CW 206 |

09 | Amelia Mattern | MWF 4:40-6:10 CW 102 |

10 | Kunal Sharma | MWF 4:40-6:10 WH G002 |

*Restricted to BME students.

**Note CW was previously SW. It is the building between AA and LH.**

Course coordinator: Jonathan Williams

*Multivariable Calculus*, Eighth Edition, James Stewart

You will need an online access code to WebAssign. More info on this below.

- Chapter 12: Vectors and the Geometry of Space
- Chapter 13: Vector Functions
- Chapter 14: Partial Derivatives
- Chapter 15: Multiple Integrals
- Chapter 16: Vector Calculus

For each section of material covered there will be an assignment of problems on WebAssign. Your WebAssign homework counts towards your grade. Study groups are encouraged, but students should not become too dependent on others. Watching the instructor, or other students, do the problems will not be enough to learn the material. It will be necessary for you to do many exercises yourself in order to be successful on the exams. Attempts to solve homework problems provide the best way to learn the material and to prepare for exams.

WebAssign is an online homework system which includes an e-book version of our text. If you have a multi-term access code from when taking 226/227, then you do not need to purchase another one. (Exception: if you only purchased one-semester access, then you'll need to buy it again.) If you buy the book through the Binghamton University Bookstore then it comes with an access code. If you do not wish to buy the textbook package through the Bookstore, then you can purchase ($119.99) “Cengage Unlimited”, 1 term -4 months. This comes with the ebook and can also be purchased through our Bookstore. “Cengage Unlimited” also comes with the option to rent a hard copy of the textbook by just paying for shipping and handling. You'll have temporary free access to WebAssign for two weeks into the semester without an access code. All information regarding how to login with Class Key and purchase an access code can be found here WebAssign Student Quick Start Guide

Your username is your Binghamton University username and the institution code is “binghamton”.

Math 222, Math 227, or Math 230

Develop theoretical and practical skills for multivariable calculus. Specifically, students are expected to be able to demonstrate the following:

- Visualize geometry in three-dimensional space
- Find and apply vector and scalar equations of lines and planes in three-dimensional space
- Understand the calculus of vector-valued functions
- Solve unconstrained and constrained optimization problems
- Find and interpret partial derivatives, directional derivatives, and gradients
- Set up and evaluate double and triple integrals in rectangular, cylindrical, and spherical coordinates
- Set up and evaluate line and surface integrals in addition to applying Green's, Stokes', and Divergence Theorem

The final grade will be determined as follows:

- Test 1, 15% (Week 5)
- Test 2, 15% (Week 10)
- Test 3, 15% (Week 14)
- Quizzes, 15%
- Homework, 5%
- Final, 35% (TBD)*

(subject to change and adjustment at your instructor's discretion)

Week | Dates | Sections | Topics |
---|---|---|---|

1 | Jan 23–25 | 12.1 | 3-D Coordinates |

12.2 | Vectors | ||

2 | Jan 28–Feb 1 | 12.3 | Dot Products |

12.4 | Cross Products | ||

12.5 | Lines and Planes | ||

3 | Feb 4–8 | 12.6 | Quadric Surfaces |

13.1 | Vector Valued Functions | ||

13.2 | Derivatives of Vector Valued Functions | ||

4 | Feb 11–15 | 13.3 | Arc Length |

13.4 | Motion in Space | ||

Exam 1 Review: Chapters 12 and 13 | |||

5 | Feb 18-22 | Exam 1 | Chapters 12 and 13 |

14.1 | Functions of Several Variables | ||

14.1 | Functions of Several Variables | ||

6 | Feb 25-Mar 1 | 14.2 | Limits and Continuity |

14.3 | Partial Derivatives | ||

14.4 | Tangent Planes and Linear Approximation | ||

7 | Mar 4–8 | 14.5 | The Chain Rule |

14.5 | The Chain Rule | ||

14.6 | Directional Derivatives and the Gradient | ||

8 | Mar 11-15 | 14.7 | Maxima and Minima |

14.8 | Lagrange Multipliers | ||

15.1 | Double Integrals over Rectangles | ||

Mar 18-22 | No class: Spring break | ||

9 | Mar 25-29 | 15.2 | Double Integrals over General Regions |

15.3 | Double Integrals in Polar Coordinates | ||

Exam 2 Review: Chapter 14 and Sections 15.1 - 15.3 | |||

10 | Apr 1-5 | Exam 2 | Chapter 14 and Sections 15.1 - 15.3 |

15.6 | Triple Integrals | ||

15.7 | Triple Integrals in Cylindrical Coordinates | ||

11 | Apr 8-12 | 15.8 | Triple Integrals in Spherical Coordinates |

15.9 | Change of Variables | ||

16.1 | Vector Fields | ||

12 | Apr 15-19 | 16.2 | Line Integrals |

16.3 | The Fundamental Theorem of Line Integrals | ||

No class (Easter, Passover) | |||

13 | Apr 22-26 | 16.4 | Green's Theorem |

16.5 | Curl and Divergence | ||

No class (Passover) | |||

14 | Apr 29-May 3 | Review for Exam 3: Sections 15.6 - 15.9 and 16.1 - 16.5 | |

Exam 3 | Sections 15.6 - 15.9 and 16.1 - 16.5 | ||

16.6, 16.7 | Parametric Surfaces, Surface Integrals | ||

15 | May 6-10 | 16.8 | Stokes' Theorem |

16.9 | The Divergence Theorem | ||

Final exam review | |||

May 13-17 | Cumulative Final Exam TBA |

Sample examinations can be found at the following address:

Your instructor will inform you of their office hours for your section.

If you need accommodations to to a disability, please see your instructor with documentation from Services for Students with Disabilities. We will do our best to accommodate your needs.

Cheating is considered a very serious offense. According to the University Catalog, cheating consists of: “Giving or receiving unauthorized help before, during or after an examination”. The full strength of Binghamton Academic Honesty Policy will be applied to anyone caught cheating. This may include failing the course, and further disciplinary action.

The final is comprehensive and mandatory. There will be no make-up for the final exam except for extraordinary circumstances. Failure to take the final will result in a grade of F for the class. University photo ID is required to take the exam. Please note that no calculators are allowed during exams.

This course is a 4-credit course, which means that students are expected to do at least *12.5 hours of course-related work or activity each week* during the semester. This includes scheduled class lecture/discussion meeting times as well as time spent completing assigned readings, studying for tests and examinations, participating in lab sessions, preparing written assignments, and other course-related tasks.

calculus/math_323/start.txt · Last modified: 2019/01/28 18:17 by jwilliams

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