In the course we will study vectors, vector functions, and curves in two
and three dimensions; surfaces, partial derivatives, gradients, and
directional derivatives; multiple integrals in rectangular, polar,
cylindrical, and spherical coordinates. We will also consider different
physical and geometric applications of multi-variable Calculus.
We will cover (parts of) Chapters 10, 11, 12 and 13 from the class
textbook. The specific sections from these chapters to be covered are
listed in the class study guide, and will also be outlined on the class Calendar.
Learning Outcomes: After completing this class, successful students will be able to:
- Represent vectors both algebraically and geometrically and be able to
use vector methods effectively in problem solving.
- Use the dot and cross product to solve problems in a geometrical or
- Integrate and differentiate vector-valued functions.
- Apply partial derivatives, directional derivatives, and gradients to solve
problems of multivariable differential calculus such as max-min problems and rates of change of physical processes in space.
- Evaluate multiple integrals in rectangular, polar, spherical, and cylindrical coordinates with applications such as volumes and masses.
Prerequisites: MTH 252: Integral Calculus
Required Textbook, Study Guide and MyMathLab Account:
Reading Assignments: Look at the Calendar for a day to day schedule of Lessons and
sections from the textbook that will be covered.
For Lessons refer to the class study guide.
While it may not be stated explicitly each day, students are expected to
read each section to be covered before class. Questions
not addressed during class time should be asked in recitation. Any
questions still unanswered may be asked in office hours. Students should
also take full advantage of the tutoring services provided in the MLC (Kidder 108).
Students are responsible for any material missed due to absence.
As preparation for this class, you should review the
materials covered in MTH 251 and 252.
Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at http://ds.oregonstate.edu. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.
Students are expected to be familiar with
Oregon State University's
Expectations for Student Conduct.
Course Drop/Add Information: See Office of the Registrar