MA 225 A2 Multivariate Calculus

Meets MTR 6-8.30pm at PSY B41

Instructor: A. Levichev, PSY 233, office hrs: TR 8.30-9.15pm and by an appointment.

E-mail: levit@math.bu.edu

levit@bu.edu (when the above does not work)

get to http://math.bu.edu/people/levit for an info about the Instructor and for the course updates. ("Mathhelp" file might be of interest, too)

L-15 (to be continued on Tue, before a review) 13.5, 13.6, 13.8. Sections 13.3, 13.4, 13.7 won't be tested. HW 13.5: 1,5,10,17 (and to be aware of 21,22,23,24 formulas); 13.6: 15, 17; 13.8: 4,7.

Quiz 4 on Mon, 6/23, covers 12.1 - 12.4, 12.6 - 12.9.

L-14 12.6, 12.7, 12.8, 13.1 - 13.3. HW 12.6: 1-7odd,11; 12.7: 1-11odd,15; 12.8: 7,9,11,13a,19; 13.1: 21,23,29,30,31,32; 13.2: 5,11,33,35.

L-13 12.3 finished, 12.9, 12.4, 12.6 (not finished) and overview of 13.9. HW 12.4: 1-11odd; 12.9: 1,3,5,13

L-12 Questions taken, 12.3 (almost) done, quiz 3. 12.3 HW: 1-23odd,29, 33-37odd.

Quiz 3 on Mon tests sections 11.1 - 11.7

L-11 12.1, 12.2, 12.3 (not finished). HW 12.1: 1,3,11,13; 12.2: 1-13odd,17,19,21,27.

L-10 11.7 HW 11.7: 1-15odd,25-33odd.

L-9 11.6. Question taken, quiz 2 accessed. HW 11.6: 5-25odd, 33 (to be aware of these formulas), 35,37,41,45.

L-8 11.4, 11.5, Quiz 2 solutions presented. HW 11.4: 1,3,9,11,33,35,37; 11.5: 1,3-11odd,17,19,23,25,27,41,45. Quiz 2 access in on Mon.

L-7 11.3, Quiz 2, 11.3 HW: 13-31odd,35,37,41,45,53.

Quiz 2 is on Tue, it covers 9.6, 9.7, 10.1, 10.2, 10.3, 10.5.

L-6: Questions taken, 11.1, 11.2 HW 11.1: 5,7,13,15,21,41; 11.2: 1,7,9,11,15,21,31,33,35

L-5 10.2, 10.3, 10.5 HW 10.2: 3,5,9-15odd,19,21,25,31,33,35; 10.3: 1,3,7, 15,17,37,39, (47,49,50 - if to learn more about curves, won't be tested); 10.5: 1,3,11,12,13,17-23odd.

L-4 9.7, 10.1 HW 9.7: 5-13odd, 21, 23; 10.1: 1,3,13-19odd,23, (37 to be aware of).

L-3 9.6 HW 9.6: 3-25odd, 33.

The first quiz (Tue, 5/27) covers 9.4, 9.5 (don't forget to bring your textbook< notes); L - 2: 9.4, 9.5. HW 9.4: 1,3,7-17odd, 21,23,25,29,33; 9.5: 1-49odd.

L - 1: 9.1, 9.2, 9.3. HW 9.1: 3,7-13odd,15a (to be aware of), 15b - to apply 15a,17, 25-31odd; 9.2: 3,4,7,15,17,19,25; 9.3: 1-25odd, 35 (to be aware of); when asked about an angle - it is enough to find cosine of it.

To read and to understand the content of respective sections is part of each and every HW assignment (it goes "without saying"). More information is at the bottom of this file.

VIEW YOUR GRADES ON-LINE (on the other website: http://courseinfo.bu.edu

navigate to our course)

From within the CourseInfo site, students should select Student Tools > Check Your Grade.

Here is a day-by-day presentation (a word of caution: expect certain changes as our course develops), read from below.

In 13.5(pp.957,958 won't be tested): 2,3,4,9,10,11. HW 13.5: 1,5,10, 17 (and 21,22,23,24 to be aware about).

In 13.6: 2 (4 is a special case of 2),9 (10 is a special case of 9), HW 13.6: 17.

In 13.7 (p.975 won't be tested): Stokes' Theorem (p.971) (to better understand its right side, check with (9) from 13.6). HW 13.7: 1,3,7.

In 13.8 (p.982 won't be tested): formula on p.978. HW 13.8: 4,7.

13.4 follows from 13.7.

L - 13 13.1, 13.2 discussed; 13.3 started. HW is below.

Recommended Chapter 13 reading is 13.1 (try to solve 21,23,29,30,31,32); in 13.2 the most important formulas are the one at the very bottom of p.929, and # 13. There is a lot of new notation (not too much new content!) in 13.1, 13.2. Try 13.2 ## 5,11,17,31,33.

L - 12 12.4,12.6,12.7,12.8,12.9. They are to be presented in a much more compact way than it is done in the text. HW 12.4: 1-11odd, 12.6: 1-9odd,21; 12.7: 1-15odd; 12.8: 7,9,11,15,19; 12.9: 1,3,5,11,13.

L - 11 12.2, 12.3 (as well as some of Calc I notions recalled). HW 12.2: 1-11odd, 17,19,21; 12.3: 1-23odd,29-37odd.

L - 10 5.2 (definite integral from Calc I recalled), 12.1. HW 12.1: 1,3.

L - 9 11.7 finished, questions taken, a few examples discussed.

L-8 11.5(pp.790-794,only; Ex.2 won't be tested), 11.6,11.7 (not finished; 11.7 Ex.4 won't be tested). HW 11.5: 3,5,7,9; 11.6: 5-15odd,19-25odd, 33(enough to be aware about #33 formulas),35,37,41,45; 11.7: 1,3,5,9,,11,13,23,25,27,31,33.

L - 7 11.3 (omit pp.775,776), 11.4 (pp.779,780,787,788,only). HW 13-31odd,35,37; 11.4: 1,3,33,35.

L-6 10.5 finished, 9.7(Ex.8 optional),11.1(Ex.1,2,5,10 won't be tested), 11.2. HW 10.5: 1,3,17,19,21; 9.7: 5,7,9,21,23; 11.1: 5,7,13,15; 11.2: 1,7,9,11,15

L - 5 10.1 (pp.708,709 won't be tested); 10.2, 10.5 (not finished). HW 10.1: 1,3,13,15,19,27 (also, be aware of 10.1 #33 laws); 10.2: 3,5,9,11,19,21,31,33; 10.5: 17.

Grading policy: The course is broken into 8 units as follows: Final is 4 units, Quizzes are 3 units, Attendance is 1 unit worth. The lowest of the above units will be dropped. The average of the remaining 7 units determines your grade for the course.

The final exam is on the last day of classes (Thursday,June 26, at 6pm)

Text: Calculus by J. Stewart, 3d edition, ISBN 0-534-40986-5

Most important pre-requisite sections from Calc I, Calc II (same 3d edition) are 1.3, 1.7; 3.1,2,4,5; 4.2,3; 5.2,3,5; 6.1,2,3; 8.6,7,9.

Course Outline:

Chapter 9: Vectors and the Geometry of Space

Chapter 10: Vector Functions

Chapter 11: Partial Derivatives

Chapter 12: Multiple Integrals

Chapter 13: Vector Calculus

THE STUDENTS HAVE THE RESPONSIBILITY TO KNOW THE PROVISIONS OF the CAS Academic Conduct code, copies of which are available in CAS 105. Cases of suspected academic misconduct will be referred to the Dean's Office.

Some of the students do not have BU ACS accounts: They can apply by following the directions found at http://www.bu.edu/computing/accounts/apply/ . Once they get ACS accounts, they will automatically be added to the site.

Homework will be assigned on a regular basis. On tests I'll be looking for proper reasoning as well as for right answers.