MATH 2204 Course Page
INTRODUCTION TO MULTIVARIABLE CALCULUS
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.
Prerequisites:
Admission to MATH 2204 is offered to students who have passed MATH 1226.
Textbook:
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:
- 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). - Free Response Exam
Your instructor will give you information on what to expect for the second portion of the exam.
Note:
- 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 https://www.honorsystem.vt.edu/
If you need extra help with course materials:
- Check your course Canvas site for your instructor's office hours.
- Visit the Mathematics Department Tutoring Information Page.
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 2204coordinator@math.vt.edu.