Math 15

Course Information

Instructor: Professor Dan Rockmore
Office: 206 Sudikoff, phone 6-3260
Office Hours: Tue. 2-3:30PM and by appointment

Graduate Tutor:
Christopher Storm
Office: 1B Bradley Hall
Tutorial Hours: Sun, Tue, and Thu. 7-9 PM, 103 Bradley Hall

Willie Sun
Chris D'Andrea

Class will meet MWF from 11:15-12:20 in 101 Fairchild.  X-hours, which we will use occasionally, are Tue. 12:00-12:50. 

Special Scheduling:
Class will meet during the x-hour on 1/7, 1/14, and 1/21 (there may/will be others later)
Class will not meet on Saturday, January 11, Friday, January 17, or Monday, January 20 (Martin Luther King Day).

The textbook for this course is a course reader available at Wheelock Books as well as "Multivariable Calculus", by Strauss, Bradley and Smith.

Homework, Readings:
Homework and reading will be assigned each class period and will be due before the next class. You should submit homework to the homework boxes on the first floor of Bradley Hall. (The Math 15 boxes are more or less opposite the door to 103 Bradley.) Late homework will be accepted for partial credit but may not be graded. If you have a valid reason for turning in homework late (such as an illness or a family emergency) please talk to Professor Rockmore.

There may be occasional in-class quizzes. There will be in-class exercises on which you will be graded credit/ nocredit based on your participation (not on the correctness of your work.) If you are not present for a quiz or a graded exercise you will receive a grade of zero.

Homework Solutions

Selected homeworks solutions and problems may be posted...

Grades in Math 15.2 will be based on homework, exams, and in-class quizzes and exercises. Your lowest two homework grades, your lowest quiz grade, and your lowest class exercise grade will be dropped before computing your end-of-term average. Homework will be graded on a scale of 1-10; 5 points will be automatic if you make an attempt at every problem. Late homework will receive 5 points and will not be graded. In-class exercises will be graded credit/no-credit.

Your final grade will be computed in two ways, and you will receive the higher of the two grades:
1. Homework, quizzes, and classroom work 20%, each midterm 20%, final 40%.
2. Homework, quizzes, and classroom work 25%, each midterm 25%, final 25%.

Grades in Math 15.2 are not curved; other students' good performance will not hurt your grade. (So please work together and help each other out.) The grade scale is: 93% A, 90% A-, 85% B+, 75% B, 70% B-, 67% C+, 63% C, 60% C-, 55% D+, 50% D.

Honor Principle:
Every student who matriculates at Dartmouth agrees to abide by the academic honor principle. You have an obligation to act with integrity in your own academic work, and to take action if you observe honor code violations by others. Academic integrity is essential to the scientific enterprise and I take it seriously.

In Math 15.2 you are encouraged to work together on homework problems, and to use professors, tutors, other students, other textbooks, and generally any resource you can find that will help you understand and work the problems. You must write up the homework solutions by yourself in your own words.

You must do all work on exams independently, without giving or receiving assistance of any kind.

Special Needs:
If you have a disability of any sort that may affect your participation in the course or require accommodations, please speak to the professor at the beginning of the term. These conversations will be completely confidential, with the single exception that the professor may contact the Student Disabilities Coordinator at the Academic Skills Center to discuss appropriate accommodations. Students with disabilities that may need classroom accommodations should also talk to the Student Disabilities Coordinator directly.

Please talk to Professor Rockmore as soon as possible, or whenever something comes up, about any special concerns you have about the class. If you have athletic or other extracurricular commitments and hope to accomodate them (for example, by taking midterms at alternative times), talk to the professor. If you are in any way concerned about the course or your performance in it, talk to the professor.

If you can't do the homework, talk to the professor. Also talk to the tutor about any of your concerns. Make an appointment if you can't make our regular hours. We are here and we want to see you.

Exam Information

There will be two midterm exams, given on Tuesday, January 28, 7-10 , and Monday, February 24, 7-10 PM, 101 Fairchild and a final, given Monday, March 10, 8-10 AM, room to be announced. If you have a conflict with a midterm exam, please talk to Prof. Rockmore as soon as possible about scheduling an alternate time. With less than a week's notice, scheduling an alternate time may not be possible. Final exmas are given only during the scheduled time.

The first midterm covers the course material in the first four weeks of the course, the second covers the material in the second four weeks, and the final is cumulative. Remember that problems on exams will require you to know and use physics as well as math concepts.

Check this website before the midterms for review material.


Monday, 1/6: Double integrals
Reading:1.5.1-1.5.4, (optional) SBS 12.1,12.2 Problems: p17/1, p28/2,3; XCr: p30/4

Tuesday, 1/7: Triple integrals
Reading: 1.5.6, (optional) SBS 12.5
Problems: pp. 37-39/5,6,7

Wednesday, 1/8:
Reading: 1.10, (optional) SBS 12.3 (don't worry about the crazy graphing) and 12.7/pp.833-836
Problems: pp. 68-70/9,10,11,12

Friday, 1/10:
Reading: 1.9, 1.11-1.12
Problems: p.74/14,15; p.91/16,17

Monday, 1/13:
Reading: 2.1-2.3
Problems: p.102/18, p.110/19, p.113/21,22; XCr: 113/20

Tuesday, 1/14:
Reading: 2.1-2.4
Problems: pp.127-129/23,24,25

Wednesday, 1/15:
Reading: (1) 2.5
Problems: p137/26, 138/27, 142/28,29 146/30,31 153-4/36,37

Friday, 1/17:

Tuesday, 1/21:
Reading: (1) 2.5.3, 2.6
Problems: 150/32,33, 152/34

Wednesday, 1/22:
Reading: 2.7
Problems: All Exercises in 2.7

Friday, 1/24:
Reading: 2.7
Problems: All Exercises in 2.7

Monday, 1/27:
Reading: Prepare for exam

Wednesday, 1/29:
Reading: 3.2.3, 3.3, 3.4
Problems: p. 216/48, 50; 222/51,52,53 XCr: 215/45, 216/48,49

Friday, 1/31:
Reading:4.1 - 4.6 (there is a lot here about magnetic fields. Green's theorem will be found in 4.5 and 4.6 - we introduced curl (at least computationally) several weeks ago when we dscussed conservative fields.
Problems: p. 258/56-59

Monday, 2/3:
Reading:4.7 (Stokes's Theorem)
Problems: p. 274/61

Tuesday, 2/4:

Wednesday, 2/5:
Reading:4.9 (Conservative Fields, revisited) and 5.1 (multidimensional differentiation). Also, finish reading Chapter 4 - 4.8 ties up the connections to magnetism.
Problems: p.278/65,66; p. 281/67; p.285/72,73
XCr: pp.281-282/68-71

Friday, 2/7:
Winter Carnival -- no class

Monday, 2/10:
Reading: 5.2

Wednesday, 2/12:
Reading: 5.3,5.4

Friday, 2/14:
Reading: 5.4

Monday, 2/17:
Problems:246 (3 out of 6), 247 (5 out 8), 248, 249, 250 p. 554/251-254

Wednesday, 2/19:
Problems:p. 555/254-257; p. 568-571/258-264

Friday, 2/21:
Reading:Study for test9

Monday, 2/24:

Wednesday, 2/26:
Problems:pp. 311-312/89,90,91,92
XCr:Given 4 points, (data points) (x1,y1), (x2,y2), (x3,y3), (x4,y4): (1) find the least squares linear fit to the ponts (ie., minimizing the y-value differences) and (2) find the line that minimizes the distance of all the points to the line; (3) find the least squares quadratic (degree 2 polynomial) fit to the data.

Friday, 2/28:
Problems:pp. 315/93-96; 321/97-100