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MATH 2204 Course Page

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Calculus for functions for several variables. Planes and surfaces, continuity, differentiation, chain rule, extreme values, Lagrange multipliers, double and triple integrals and applications, software-based techniques. A student can earn credit for at most one of 2204 and 2406H. A student can earn credit for at most one of 2024 and 2204. A student can earn credit for at most one of 2204 and CMDA 2005. 


Admission to MATH 2204 is offered to students who have passed MATH 1226. 


Text: Calculus: Early Transcendentals by Stewart (9th edition) with WebAssign access

Download  the Complete Syllabus with Problem Assignments (PDF)

Section Subject
12.1 Three-Dimensional Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations of Lines and Planes
12.6 Cylinders and Quadric Surfaces
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
Section Topic
15.1 Double Integrals Over Rectangles
15.2 Double Integrals Over General Regions
15.3 Polar Coordinates
15.4 Applications of Double Integrals
15.6 Triple Integrals
15.7  Cylindrical Coordinates
15.8 Spherical Coordinates
Section Topic
14.5 Chain Rule
14.6  Directional Derivatives and Gradients
14.7 Optimization
14.8 Lagrange Multipliers
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
13.4 Motion in Space

The final exam is a Common Time Exam and consists of two parts:

  1. Common Exam
    This test is a multiple choice exam taken by all sections of MATH 2204. Samples of Common Time Final Exams given in previous years are available (koofers).
  2. Free Response Exam 
    Your instructor will give you information on what to expect for the second portion of the exam.


  • Both portions of this exam will be administered in person. The exam is NOT scheduled in your regular classroom. Rooms for the exam will be announced near the end of the semester. 
  • The final exam time is fixed and will not be rescheduled for discretionary reasons, including conflicts with work schedules or exams for classes at other colleges. 
  • If there is a conflict with the final in another class, follow the procedures proposed by your college to reschedule an exam.  Exams of courses that have a common-time final have priority and the exam for the other course should be rescheduled.

Check the timetable or your instructor's Canvas course site for the date and time of your final exam.

See the Timetable of classes for information on current offerings of MATH 2204

The Undergraduate Honor Code pledge that each member of the university community agrees to abide by states:

“As a Hokie, I will conduct myself with honor and integrity at all times. I will not lie, cheat, or steal, nor will I accept the actions of those who do.”

Students enrolled in this course are responsible for abiding by the Honor Code. A student who has doubts about how the Honor Code applies to any assignment is responsible for obtaining specific guidance from the course instructor before submitting the assignment for evaluation. Ignorance of the rules does not excuse any member of the University community from the requirements and expectations of the Honor Code.

For additional information about the Honor Code, please visit

If you need extra help with course materials:


If you are currently enrolled in MATH 2204, you can contact your instructor through your Canvas course website.

If you have any general questions or concerns about MATH 2204, you can email the course coordinators at