MAC 2283 — Engineering Calculus III — Syllabus

Prerequisites: C (2.0) or better in MAC 2282, or C (2.0) or better in MAC 2312.

Course Description: The course meets for approximately 55 hours during a 15-week semester. Successful completion of the course merits 4 semester hours of credit. The schedule outlined below allows time for four midterm exams plus a cumulative final exam, which are the norms for this course. (Note: A “lecture” is defined as a 50-minute time period.)

Text: Essential Calculus: Early Transcendentals, by Stewart

Course Content

Chapter 9: Parametric Equations and Polar Coordinates (2 weeks)

9.1 Parametric Curves
9.2 Calculus with Parametric Curves
9.3 Polar Coordinates
9.4 Areas and Lengths in Polar Coordinates
9.5 Conic Sections in Polar Coordinates (omit)
Review

Chapter 10: Vectors and the Geometry of Space (3-4 weeks)

10.1 Three-Dimensional Coordinate Systems
10.2 Vectors
10.3 The Dot Product
10.4 The Cross Product
10.5 Equations of Lines and Planes
10.6 Cylinders and Quadric Surfaces
10.7 Vector Functions and Space Curves
10.8 Arc Length and Curvature
10.9 Motion in Space: Velocity and Acceleration (optional)
Review

Chapter 11: Partial Derivatives (3-4 weeks)

11.1 Functions of Several Variables
11.2 Limits and Continuity
11.3 Partial Derivatives
11.4 Tangent Planes and Linear Approximations
11.5 The Chain Rule
11.6 Directional Derivatives and the Gradient Vector
11.7 Maximum and Minimum Values
11.8 Lagrange Multipliers
Review

Chapter 12: Multiple Integrals (3-4 weeks)

12.1 Double Integrals over Rectangles
12.2 Double Integrals over General Regions
12.3 Double Integrals in Polar Coordinates
12.4 Applications of Double Integrals
12.5 Triple Integrals
12.6 Triple Integrals in Cylindrical Coordinates (optional)
12.7 Triple Integrals in Spherical Coordinates (optional)
12.8 Change of Variables in Multiple Integrals (optional)
Review

Chapter 13: Vector Calculus (2-3 weeks)

13.1 Vector Fields
13.2 Line Integrals
13.3 The Fundamental Theorem for Line Integrals
13.4 Green's Theorem (optional)
13.5 Curl and Divergence (optional)
13.6 Parametric Surfaces and Their Areas (optional)
13.7 Surface Integrals (optional)
13.8 Stokes' Theorem (optional)
13.9 The Divergence Theorem (optional)
Review

Miscellaneous University/College Policies:

You are encouraged to take notes and may tape the lectures, but neither your notes nor your tapes are to be sold.
All unauthorized recordings of class are prohibited. Recordings that accommodate individual student needs must be approved in advance and may be used for personal use during this semester only; redistribution is prohibited.
Students in need of academic accommodations for a disability may consult with the Office of Students with Disabilities Services (SDS) in SVC 1133 to arrange appropriate accommodations. Students are required to give reasonable notice (typically 5 working days) prior to requesting an accommodation.
Students who anticipate the necessity of being absent due to the observation of a major religious holiday must provide notice of the date in writing to the instructor by the second class meeting.
Contingency Course Plan: In the event of an emergency, it may be necessary for USF to suspend normal operations. During this time, USF may opt to continue delivery of instruction through methods that include but are not limited to: Blackboard, Elluminate, Skype, and e-mail messaging and/or alternate scheduling. It is the responsibility of the student to monitor the main USF website, e-mails and MoBull messages for important information about the closure. For information about the continuation of instruction, students are directed to their individual blackboard course sites.
S-U Policy: Students who want to take this course for a grade of S-U (Satisfactory-Unsatisfactory) must sign the S-U Contract no later than the end of the third week of classes. There will be no exceptions. For further information on S-U grades, please consult the undergraduate catalog. Note: Gordon Rule Math courses cannot be taken for an S-U grade.
“I” Grade Policy: A grade of “I” indicates incomplete work and will only be assigned when most of the coursework has already been completed with a passing grade. For further information on “I” grades, please consult the undergraduate catalog.

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