Mathematics: Calculus III (OL1)

About MATH 2248 OL1

Vector-valued functions. Calculus of functions of several variables: partial derivatives, gradient, divergence, curl, multiple integrals, line integrals, Stokes' and Green's theorems. Prerequisite: C- or better in MATH 1248 or MATH 1242.

Notes

Prereqs enforced by the system: C- or better in MATH 1248 or MATH 1242; Open to Degree and PACE students; Asynchronous online System waitlisting enabled for this section.

Section Description

Calculus III (Multivariable Calculus) is the third course in our three-course calculus sequence. Successful completion of Calculus II is a prerequisite for Calculus III.

The course topics include vector functions, with a discussion of derivatives, velocity, acceleration, arc length and curvature; functions of several variables, where we extend the basic idea of differential calculus to these functions; the concept of the definite integral is extended to double and triple integrals, with applications such as volume and mass, while introduction two new coordinate systems in three-dimensional space (cylindrical coordinates and spherical coordinates); a study of vector fields, line integrals and surface integrals, leading to a discussion of Stokes’ Theorem and the Divergence Theorem.

Topics will be presented with a level of depth and rigor appropriate for students pursuing degrees in technical fields such as mathematics, statistics, engineering, or the physical sciences.

Section Expectation

Required Course Materials: Online Homework Access

You will need an access code for WebAssign online homework, which includes access to an eBook. The access code can be purchased directly from WebAssign once the course Brightspace page is open.

There is a free trial period (about 14 days, I believe) for WebAssign. I recommend taking advantage of the free trial period before purchasing anything. Once you purchase access to WebAssign, it is completely non-refundable.

Students will be expected to spend 6-9 hours per week on this class. This includes watching instructional videos, doing homework, and completing assessments (quizzes, exams, etc.).

This class is offered remotely asynchronously. There is no need to travel to campus to take any of the quizzes or exams.

Evaluation

Grades will be based on several homework assignments (unlimited attempts), occasional quizzes, a midterm exam, and a final exam. Video-based proctoring such as Respondus Lockdown Browser and Respondus Monitor will be used for portions of quizzes/tests to ensure academic integrity.

Important Dates

Note: These dates may change before registration begins.

Courses may be cancelled due to low enrollment. Show your interest by enrolling.

Resources

• Parking
• PACE Course Pricing
• Textbooks

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