Spring 2003
Syllabus for MTH1223
Instructor/office/contact
info/office hours:
Prof. Terence Gaffney
Office: 439 Lake
Hall Phone: 373-3587
E-mail: Gaff@neu.edu
Office hours:
Monday, Wednesday, Thursday 12:30-1:30
other times by
appointment
Prerequisites:
MTH1125 or
MTH1725
Required
Materials:
Text: Thoması
Calculus, Part 2, by Finney, Weir, and Giordano
Calculator:
scientific, graphing calculator (recommend TI83 or higher)
Course Web
Page:
www.math.neu.edu/undergrad/calc4eng/mth1223.html
Various
supplemental course materials are located here.
Course
Objectives:
To study functions of two or more variables by extending the ideas of the
derivative and the integral to this new situation. A detailed list of
objectives can be found on the syllabus on the course website.
Calculus Help
and Tutoring:
There are many
resources for improving your Calculus skills. The best one is to go over any
problems with your instructor. Other resources: walk-in tutoring in Cahners
Hall and from Engineering tutors in 222 Snell Engineering, and tutoring by appointment (sign up in the
Media Center in the library). Study aids in the library such as Schaumıs
Outlines may be helpful in improving your computational skills.
Attendance:
It is essential that you attend class regularly. The easiest way for you to
learn the material, and to know what material has been covered, is to come to
class each day. Students are responsible for finding out what material has been
covered or what announcements have been made on days that they miss class.
Excused
Absences or Late Work:
In order to turn in assignments late or to take make-up quizzes/tests, students
must bring written proof of some emergency situation; notes from doctors or
nurses, documents verifying court appearances, receipts from having a car towed
are all examples of valid documentation. Notes from family members are not acceptable. If a situation is of a
personal nature, discuss the matter with your academic advisor; an e-mail
message from your advisor saying that they believe that you should be allowed
to make-up work is acceptable.
Homework,
quizzes, and tests:
Homework will be
assigned and collected daily. If you have many questions on the homework, you should
come to my office hours, or e-mail when you are trying to work through the
problems. There will be a weekly quiz during Thursdayıs class, and two
65-minute midterm exams.
Computer Labs:
There will be three short computer lab assignments. The labs are PDF files
which will be mounted on the course website.
Grading:
The final exam
will count as 40% of your grade. Homework, quizzes and the computer lab will
each count 10% of your grade. The two midterm exams will count as the remaining
30% of your grade.
Cheating
Policy:
Cheating is an insult to honest students it will not be tolerated. The
Universityıs cheating policy and related disciplinary actions are detailed in
the Student Handbook; the Handbook also includes a description of what is
considered cheating by the University.
All incidents of cheating will be reported to the Office of Judicial Affairs.
Additional
Contacts:
If you have concerns/ problems in the course, and are not comfortable
discussing them with me, please the Vice-chairman of Mathematics: Prof. Donald King, donking@neu.edu, 447 LA, 373-5679
Suggested
Homework Problems to Choose from
Week 1: March 26-28
10.1 3-Space, Vectors
p. 794: 1, 5, 8, 14, 17, 18, 21, 30, 33, 36, 42, 43, 49, 51,
54, 57
10.2 Dot and Cross
Products.
p. 805: 1-4, 7, 8, 11, 12, 17, 18, 25, 26, 27, supplementary problems 1-2
Week 2: March 31-April 4
10.3
Lines and Planes
p. 813: 1,2,7,8,12,15-17,19,21,22, 31,32,37, 41,42,45,46,49,53,55,56,60,61 supplementary
problems 3-8
Review Conic
Sections
10.4 Quadric Surfaces,
Cylinders p. 824:
1-12,17-19,20(a),21 (by hand) & Lab 1, supplementary problems 9-12
Week 3: April 7-11
10.5 Vector Functions &
Curves p. 835:
1-3,7-9,13,16,19,22,25, 26,29, 31,34
11.1 Functions of Several
Variables p. 880: 2,3,9,13-18,20,22,23,28,29,33,34,35,
39,41,42,45
11.2 Limits and
Continuity
p. 887:
27,29,31, supplemen. probs. 13
Friday, April 11 Last day to drop without a W grade
Week 4: April 14-18
11.3 Partial
Derivatives
p. 899: 1-3,7,8,10,14,16,18,23,27,35,37, 43,44,47, 51,52(a)(d),53,57,58,65,69 supplementary problems 14-16
11.4 The Chain Rule
p. 908: 1,4,7,9,33,34,39,40,46 supplementary problems 17-19
Week 5: April 21-25
11.5
Directional Derivative, Gradient, Tangent Plane
p. 923:
3-5,9,10,13,17,18,28,38-40,49,52-54 &Lab 2
supplementary problems 20-26
Week 6: April 28-May 2
11.6
Linearization
p. 934:5-7,13,16-18,20,33, 34,36 &Lab 3
11.7 Extrema and
Saddles
p. 944:
1,3,11,13,23,29,31,32(a)-(c),41
Week 7: May 5-May 9
12.1 Double Integrals
p. 984: 1,5,6,8,9,11,17,18,21,23,25,31,41, 42,45,47,51,55
12.2 Areas and
Moments
p. 997:
1,3,13,17,19,21,32,34,41
Friday, May 16 Last day to drop with a W grade
Week 8 May 12-May 16
12.4 Triple
Integrals
p. 1014: 7,8,11,15,21-23,25,26,37
Week 9: May 19-May 23
12.5 Masses, Moments in
3D
p. 1021:
3,6(a),13,14
9.5 Polar
Coordinates.
p. 768:
1-9odds,12, 16, 17, 19, 21, 22, 41, 42, 44
12.3 Integrals in Polar
Form
p. 1005:
3,7-9,18,20,25,29 supplementary problems 27-28
12.6 Cylindrical &
Spherical
p. 1032: 3,13,14,18,56,59,82
Coordinates
Review