Math 200 Multivariate Calculus Summer 2014 Syllabus
It is my prerogative as the instructor to change the course during the term at my
discretion. Any changes will be communicated in class, through e-mail, and via the
course website, so be sure to check them frequently. Course announcements, exam
information, and other details will be regularly e-mailed to the class and posted on the
course website.
You are expected to be fully aware of the following policies and expectations, so review
this information carefully and ask me if you have further questions.
Instructor: Charles Burnette cdb72@drexel.edu
Office: Korman 209. My mailbox is located in Korman 207.
Office Hour: Tuesday 2-3 p.m., or by appointment.
Class Time and Location: Tuesday, Thursday 6-7:50 p.m. in Randel 114.
Course Website: cdb72.wordpress.com
Prerequisites: Students entering MATH 200 are expected to have completed and
passed MATH 122 or its equivalent. If you got a D in Math 122, you should consider
retaking it. Any questions concerning your readiness should be resolved immediately.
Recommended Textbook: Calculus: Early Transcendentals, 10th Edition, by Anton,
Bivens, and Davies, Wiley and Sons, 2012. ISBN-13: 978-0470647691.
I do not require that you purchase any particular calculus textbook. However, I do
recommend that you have a calculus book or electronic resource available to use as a
supplemental reference to the material discussed in lecture.
Drexel’s calculus courses will loosely follow the order of Calculus: Early
Transcendentals, 10th edition, by Howard Anton. Drexel has worked with the Wiley
Publishing Company to offer this book at a discounted rate when purchased via the
following website:
http://www.wiley.com/WileyCDA/Section/id-817840.html
You have the choice of buying a loose-leaf printed copy or a digital copy which is
downloadable on up to two devices.
Other textbooks, e-books, and old editions are also acceptable resources.
Course Description and Learning Outcomes: The focus of Math 200 is the study of
calculus for functions of more than one variable and the tools required to study such
functions (the geometry of 3-dimensional space, vectors, curves, and surfaces.) Upon
successful completion of Math 200, students should be able to
 Perform basic calculations with vectors and related geometric shapes (lines and
planes) using dot products, cross products, and vector calculations.
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Work with parametric surfaces.
Find velocity and tangent lines for space curves.
Work with multivariable functions to compute level curves and level surfaces.
Use partial derivatives.
Compute tangent planes to surfaces and find their critical points and extrema.
Work with cylindrical and spherical coordinates.
Evaluate multiple integrals.
Perform change of variables in multiple integrals.
Course Format: Two-hour classes will be held in the same location twice a week. Most
classes will be a mixture of lectures, questions and class discussion, and problem
sessions. There will be a short quiz each week other than the weeks with a midterm exam.
Attendance: Regular attendance is not compulsory, but it is essential for success in Math
200. You are responsible for everything covered in class and cannot use office hours for
this purpose. The quarter system moves very quickly—if you do not do your work
regularly, it will be easy to fall behind.
Assigned Problems: The assigned problems are chosen to illustrate important concepts
and techniques that you are expected to master. These problems are for your benefit and
should be worked regularly and in detail. Some of these problems will be discussed in
lecture, but it is your responsibility to do all the work on the assigned problems. By doing
the problems yourself, you will acquire the skills needed to perform well in this course.
These problems will not be turned in nor graded. Reviewing class notes or re-reading
the textbook are good ways to determine the solution to assigned problems.
Extra Help: I highly recommend that you approach me for extra help during my office
hour or to arrange an appointment if necessary. You can also receive assistance on a
walk-in basis in the Math Resource Center (MRC), which is open Monday-Thursday 11
a.m - 4 p.m., except during finals week. (The hours will be more limited as many of the
tutors in the MRC will have their own finals.) The MRC is staffed by undergraduates,
teaching assistants, and faculty who can aid you with your math courses. No appointment
is necessary. Hours and staff schedules can be found at:
http://drexel.edu/math/resources/undergraduate/mrc
Do not wait until the last minute to ask for help if you are having difficulties. This is
a course where most of the material is hierarchical, so it is extremely important to seek
help early.
Grading: Grades are based on the work shown, not on what was intended or implied.
Excessively sloppy, poorly justified, or disorganized work will not be given full credit,
even if the correct answer appears. Quizzes, two midterm exams, and one comprehensive
final exam will constitute your grade for this course.
Quizzes: Each Tuesday (with the exception of exam weeks) there will be a 10-15 minute
in-class quiz based on the material covered in the previous week. Each quiz will be worth
10 points. Your lowest quiz score will be dropped. There are no make-up quizzes. You
must be present in your scheduled class to take the quiz.
Exams: There will be two one-hour midterm exams during the quarter. These exams will
be given during the usual class period. The tentative coverage of each midterm exam is:
Exam 1: Tuesday, July 15, 2014, Sct. 11.1-11.6, 12.1-12.4
Exam 2: Tuesday, August 12, 2014, Sct. 11.7, 13.1-13.9, 14.1, 14.2
An announcement about the exact coverage of an exam will be e-mailed to the class at
least one week prior to the exam date. There are no scheduled make-up exams, so it is
strongly recommended that you do not miss the regularly scheduled exam. A make-up
exam shall only be given in cases of exceptional circumstance, such as illness or injury,
with proper documentation provided. In fairness to other students, such an exam will be
somewhat longer and more difficult than the midterm. Exams may not be retaken for
ANY REASON. All exams are closed book and closed notes.
Final Exam: There will be a two-hour cumulative final exam scheduled during the final
exam week at the end of the quarter. The exact date and time will be determined by the
registrar. Do not make travel plans until after the announcement of the final exam
date. You are expected to take the exam at the time scheduled by the registrar!
Course Grades: Your course average will be computed in one of two ways:
 If your final exam grade is not your highest exam grade, then your grade will be
computed: 20% quiz average 25% each midterm 30% Final Exam.
 If your final exam grade is your highest exam grade, then your grade will be
computed: 20% quiz average 15% lower midterm 25% higher midterm
40% final exam.
The letter grade you receive will be based on your course average as follows:
90 - 100 A
80 - 89 B
70 - 79 C
60 - 69 D
0 - 59 F
Plus and minus will be assigned at my discretion.
Calculators: Calculators are NOT ALLOWED for quizzes or exams.
Disabilities and Accommodations: Students with disabilities may request
accommodations (e.g. extended time on exams). Students must provide me with an
Accommodation Verification Letter (AVL) before any accommodations are granted.
Details and procedures can be found at:
http://www.drexel.edu/oed/disabilityResources/students/
Course Drop Policy: Students should be familiar with the drop policy:
http://www.drexel.edu/provost/policies/course_drop.asp
http://www.drexel.edu/provost/policies/pdf/course_withdrawal.pdf
Academic Honesty: Cheating and other forms of academic misconduct are serious
offenses and are dealt with harshly (e.g. at the very least a 0 on the exam or quiz and a
letter sent to the Office of Student Conduct.) A copy of the student code of conduct in the
student handbook can be found at:
http://www.drexel.edu/provost/policies/academic_dishonesty.asp
http://www.drexel.edu/studentaffairs/community_standards/studentHandbook/general_inf
ormation/code_of_conduct/
Important Dates:
June 24, 2014: First Lecture
July 7, 2014: Last day to Add/Drop a course with Academic Advisor assistance
July 7, 2014: Last day to Add/Drop a course via DrexelOne by 11:00 p.m.
July 15, 2014: First Midterm Exam
August 8, 2014: Last day to Withdraw from a course with Academic Advisor assistance
August 12, 2014: Second Midterm Exam
August 28, 2014: Last Lecture
September 2-6, 2014: Final Exam Week
Tentative Topic Schedule (Subject to Change):
1. Rectangular Coordinates, Spheres, Cylindrical Surfaces, Vectors, Dot Product,
and Projections (Sections 11.1-11.4)
2. Cross Product, Parametric Equations of Lines, and Planes in Space (Sections
11.4-11.6)
3. Vector-Valued Functions, Calculus of Vector-Valued Functions, Unit Tangent,
Normal, & Binormal Vectors, and Curvature (Sections 12.1-12.6)
4. Quadric Surfaces, Functions of Several Variables, Limits, and Continuity
(Sections 11.7, 13.1, 13.2)
5. Partial Derivatives, Chain Rule, and Directional Derivatives (Sections 13.3, 13.5,
13.6)
6. Tangent Planes, Normal Lines, Local Linear Approximation, Relative & Absolute
Extrema, and Lagrange Multipliers (Sections 13.7, 13.4, 13.8, 13.9)
7. Double Integrals over Rectangular Regions and Double Integrals over General
Regions (Sections 14.1, 14.2)
8. Double Integrals in Polar Coordinates and Cylindrical & Spherical Coordinates
(Sections 14.3, 11.8)
9. Surface Area, Parametric Surfaces, and Triple Integrals in Rectangular
Coordinates (Sections 14.4, 14.5)
10. Triple Integrals in Cylindrical & Spherical Coordinates, Change of Variables, and
Jacobians (Sections 14.6, 14.7)
Less or additional topics may be covered, contingent on time.