Final Exam Solutions

Submitted by Michael C. Ching on Tuesday, 12/20/2011, at 4:55 PM
 
Please let me know if you have questions or corrections.
 

Solutions to Exam 2

Submitted by Michael C. Ching on Tuesday, 12/6/2011, at 5:50 PM

From earlier in the semester - sorry for not giving you these sooner:



Solutions to Exam 3

Submitted by Michael C. Ching on Sunday, 12/4/2011, at 8:08 PM
Please let me know if you find any mistakes, or have any questions.




Midterm II: Friday 28 October

Submitted by Michael C. Ching on Wednesday, 10/26/2011, at 12:19 PM

The second midterm test is on Friday 28 October at 1:00pm in our usual room. You will not be allowed books, notes, calcualtors, cell phones or any other aids. I'll have extra office hours this week at the following times:

Monday 2-4pm

Wednesday/Thursday 2-6pm

The following materials should help you prepare for the test. Please let me know if you have any questions about them.

Midterm I: Friday 30 September

Submitted by Michael C. Ching on Wednesday, 9/28/2011, at 11:03 PM

The first midterm exam is on Friday 30 September at 1:00pm in the Paino Lecture Hall (the usual class room and time). You will have 50 minutes and you will not be allowed to use books, notes or calculators.  Below are some practice materials that should help you prepare. Please let me know if you have any questions.

 

Help at the QCenter

Submitted by Michael C. Ching on Friday, 9/9/2011, at 8:49 PM

One source of help with the course is the Moss Quantitative Center (QCenter). This is in Room 202 Merrill Science.

They have drop-in hours for help with all calculus courses. This semester, the hours are:

Mon-Fri: 1-5pm

Sun-Thur: 7-9pm

You can also organize peer-tutoring through the QCenter.

Welcome!

Submitted by Michael C. Ching on Monday, 9/5/2011, at 10:10 AM

Hello to students for Math 211 Section 2. The first class is on Wednesday September 7 at 1:00pm the Paino Lecture Hall (BEBU 107) in the Earth Sciences and Natural History Museum Building (note this is a change from the previously scheduled room).

Please look through the policies/syllabus below before the first class. If you have any questions, please email me at mching@amherst.edu .

Syllabus

Submitted by Michael C. Ching on Tuesday, 9/6/2011, at 9:01 AM

 Instructor Information:

  • Email: mching@amherst.edu
  • Office: Seeley Mudd 305
  • Phone: (413) 542-5530
  • Office Hours: Mon (10-11), Wed/Thu/Fri (10-11, 2-3)
  • Web page: http://www.amherst.edu/~mching

Classes:

Monday, Wednesday, Thursday, Friday at 1:00pm in the Paino Lecture Hall (Earth Sciences and Natural History Museum Building)

Textbook:

Multivariable Calculus, by Stewart, 7th edition.

You may also have the big book named just Calculus. Either way, make sure your book is the 7th edition and contains chapters 12-16.

Course Objectives:

  • give you a firm understanding of the basic concepts of differential and integral calculus;
  • give you lots of practice at using these concepts to solve a variety of problems;
  • help you learn how to write clear and convincing explanations for the solutions to these types of problems.

Problem Sets:

Problem sets will usually be due twice a week, on Mondays and Thursdays. This is the most important part of the course. Solutions should be turned in at the beginning of the class in which it is due. If you think illness or emergency will prevent you from completing a problem set by the due time, you should speak with me, or send me an email, to make suitable arrangements. This must be done before the problem set is due.

Exams:

There will be three mid-term tests in class. The dates for these are subject to change, but are tentatively:

  • Friday September 30
  • Friday October 28
  • Friday December 2

There will be a 3-hour final exam, at a time to be decided.

Grading:

Your final grade for the class will be decided by weighting your scores on the problem sets and exams as follows:

  • problem sets: 10%
  • mid-terms: 20% each
  • final exam: 30%

In borderline cases, I may use other factors, such as class attendance, class participation and homework completion rate, to decide on final grades.

Support:

There are many sources of help and support if you are having difficulty with the course, material or anything else. You can:

  • ask your fellow students and form study groups (see policies below on collaboration);
  • email me a question;
  • come to my office hours;
  • email or ask me to arrange a time to come and talk outside of office hours;
  • go to the QCenter (202 Merrill Science);
  • get a peer-tutor: see me or ask at the QCenter.

Please do not feel shy about asking for help, or just checking that you understand something correctly.

Calculators:

Calculators will not be permitted in the mid-terms or final exam. It is highly recommended that you do problems sets without using calculators (unless specific instructions are given otherwise).

Absences:

Attendance in class is mandatory but an occasional absence is not the end of the world. You will of course be responsible for getting notes for any material you miss. There will be no make-up exams for the mid-termes. If you miss an exam without a valid excuse, your grade will be zero.

Special Aid:

Students with disabilities or other special needs who require classroom accommodations or other arrangements should make this known to me as soon as possible at the beginning of the semester.

Collaboration:

Collaboration on problem sets is allowed and encouraged. Working with other students is a good way to help learn the material. However, each student must write up her/his solutions to the problems individually and in her/his own words. Copying from another student's paper is prohibited. The problem sets are the essential part of learning the course material. Failing to give them proper attention will significantly harm your performance on the exams and your overall grade for the class.

Academic honesty:

All students are responsible for knowing the College's policy on academic honesty. All academic work submitted in this course must be your own (that is, must reflect your understanding of the problems set) and be written by you in your own words.

Summary of Topics

Submitted by Michael C. Ching on Tuesday, 9/6/2011, at 4:07 PM

The following is a list of the topics we plan to cover this semester. Everything is subject to change depending on how fast the course goes. This list is not suitable for studying for exams.

Vectors in Three Dimensions:

  • Vectors and their properties (12.1,12.2)
  • The dot product (12.3)
  • The cross product (12.4)
  • Equations of lines and planes (12.5)

Vector-valued Functions:

  • Vector-valued functions and curves in space (13.1)
  • Derivatives and integrals of vector-valued functions (13.2)
  • Arc length and curvature (13.3)
  • Velocity and acceleration (13.4)

Partial Derivatives:

  • Functions of several variables (14.1)
  • Limits and continuity (14.2)
  • Partial derivatives (14.3)
  • Tangent planes and linear approximations (14.4)
  • The chain rule (14.5)
  • Directional derivatives and gradient vectors (14.6)
  • Maximum and minimum values (14.7)
  • Lagrange multipliers (14.8)

Multiple Integrals:

  • Double and iterated integrals (15.1, 15.2, 15.3)
  • Polar coordinates (15.4)
  • Surface area (15.6)
  • Triple integrals (15.7)
  • Cylindrical coordinates (15.8)
  • Spherical coordinates (15.9)
  • Changing variables in mutliple integrals (15.10)

The Fundamental Theorems of Vector Calculus:

  • Line integrals (16.2, 16.3)
  • Green's Theorem (16.4)
  • Curl and divergence (16.5)
  • Surface integrals (16.7)
  • Stokes' Theorem (16.8)
  • The Divergence Theorem (16.9)