Course Syllabus
MATH 201: Multivariable Calculus
| Instructor | Nicholas Vlamis | nicholas.vlamis@qc.cuny.edu | |
| Office | 507 Kiely Hall | Office Hours | M 3:45–4:45pm |
| Website | https://201.vlamis.nyc | W 12–1pm | |
| Meeting time | MW 1:40–3:30pm | Classroom | 242 Kiely Hall |
Course Description
This course is an introduction to multivariable calculus, extending the ideas of single-variable calculus to functions of several variables. In single-variable calculus, we studied derivatives and integrals of functions that take a single real input and produce a single real output. Here, our focus shifts to functions that depend on two or three real variables. Much of the course will be devoted to developing tools for differentiation and integration in this higher-dimensional setting. We will begin by building intuition for three-dimensional geometry and coordinate systems, then progress to partial derivatives, multiple integrals, and related concepts.
We will plan to cover the majority of Chapters 9, 10, 11, and 12 in the course textbook, as well as the first half of Chapter 13.
Prerequisites
A full sequence of single-variable calculus, e.g., Math 151/152 or Math 141/142/143.
Course Textbook
James Stewart. Essential Calculus, Second Edition. Access to WebAssign will be required for the course.
Course Website
Course information and announcements will be posted on our course website:
https://201.vlamis.nyc.
Assessment
Your course grade will be determined from the following categories and weights:
WebAssign 15% In-class Exams 50% Final Exam 35%
There will be an online assingment every week on WebAssign that will be due the following week. Your lowest two WebAssign grades will be dropped. There will be no extensions or make ups. There will be two in-class exams, each worth 25% of your grade. The final exam will be cumulative. Exam dates are as follows.
Exam 1 Wednesday, October 15 In Class Exam 2 Wednesday, November 19 In Class Final Exam Wednesday, December 17 1:45–3:45pm
Calculators
Through all aspects of the course, including exams, you will be permitted to use a calculutor. The suggested calculator for the course is a TI-84, but a TI-83, TI-86, or equivalent will also work. You will not be allowed to use a calculator that does symbolic differentiation or integration, for example neither the TI-89 nor TI-92 is permitted.
Office Hours
My office hours will be held in my office, 507 Kiely Hall. This time will be student driven, so please come with questions. You may also make an appointment to meet with me at a time outside of office hours if necessary.
The office hour on Wednesday is during free hour, and so I may have to change the time of this office hour whenever I have a meeting scheduled.
Student Concerns
Any student with a disability or other special circumstances should make an appointment and discuss this with me. Students with disabilities needing academic accommodation should register with and provide documentation to the Office of Special Services. You can reach them by phone at 718-997-5870 (you may need to leave a voicemail) or via the internet at https://www.qc.cuny.edu/sp/. The Office of Special Services will provide a letter for you to give to me indicating the need for accommodation and the nature of it. This should be done during the first week of class. For more information about services available to Queens College students, contact the Office of Special Services.
MQR Outcomes
This course satisfies the MQR designation for the Pathways General Education Program at Queens College. As such, the course satisfies the following learning outcomes:
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MQR 1: Interpret and draw appropriate inferences from quantitative representations, such as formulas, graphs, or tables.
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MQR 2: Use algebraic, numerical, graphical, or statistical methods to draw accurate conclusions and solve mathematical problems.
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MQR 3: Represent quantitative problems expressed in natural language in a suitable mathematical format.
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MQR 4: Effectively communicate quantitative analysis or solutions to mathematical problems in written or oral form.
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MQR 5: Evaluate solutions to problems for reasonableness using a variety of means, including informed estimation.
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MQR 6: Apply mathematical methods to problems in other fields of study.