Course Syllabus
MATH 254
I.
Course Program and Number: MATH 254
II.
Course Name: Calculus IV
III. Catalog Description:
Multivariable Calculus including equations of lines and planes,
cylinders and quadric surfaces, vector functions, Calculus
of vector functions, functions of several variables, partial
derivatives, the gradient vector, maximum and minimum
values, iterated integrals, multiple integrals, cylindrical
and spherical coordinates, triple integrals in cylindrical and spherical coordinates.
Prerequisite: MATH 253.
IV. Credit Hours: 4
V.
Required Texts and Suggested Materials:
 (Required) Essential Calculus by James Stewart, Thomson-Brooks/Cole
publishers.
 (Recommended) Mathematical Handbook, Schaum's Outline Series, McGraw-Hill
publishers.
VI. Course Information:
 This course satisfies a requirement for the Mathematics Major.
 This course is a logical continuation of the Calculus Sequence. It is a critical component
of applied mathematics and applied physical science.
VII.
Learning Outcomes/Course Objectives:
The student should cement their ability to do the following:
Outcome L1: To perform cross and dot product vector operations and understand
when and where they should be used.
Outcome L2: To perform the gradient, divergence, curl, Laplacian, and Laplacian
of a vector vector operators and understand and use theorems relating to these
operators.
Outcome L3: Understanding the reason for and use of multiple coordinate
systems, perform and apply these to vector algebraic operations and vector
calculus operators.
Outcome L4: To investigate the applications of vector algebra and calculus.
VIII. General Education Core (GEC) Outcomes:
Students receive GENERAL EDUCATION CORE (GEC) – Natural, Mathematical, and
Information Science Category credit for successful completion of this course with a grade of Cor better. Each Eastern Oregon University GEC course is multi-faceted and accomplishes many
of the GEC outcomes. However, there are certain GEC outcomes which are primarily
emphasized in this course. The student should cement their ability to do the following:
Outcome G1: (Content Knowledge) Learn and use the vocabulary, content, and conceptual
knowledge in a variety of disciplines.
Outcome G2: (Critical Thinking) Think clearly, critically, and effectively, taking into
consideration purpose, audience, and occasion.
Outcome G3: (SMI Category) Use scientific, mathematical, or computer information
systems for problem solving.
IX.
University Writing Requirement Outcomes:
This course does not satisfy any University Writing Requirements.
X.
Student Assessment:
Students will be assessed using the following methods:
Outcomes L1-L4, G1-G3: Examinations, Quizzes, and Homework are used to
determine students’ fundamental understanding multivariable calculus.
XI.
Content Outline:
1. Vector Algebra
2. Partial Differnentiation
3. Multiple Integrals
4. Vector Calculus Functions and their Theorems
XII.
Grading Procedures:
Performance on regular lecture examinations, homework and problem assignments, and a
comprehensive final exam are used to determine the grade for the course.
Scoring
Homework
25%
Midterms (3)
45%
Final Exam
30%
Total
100%
Grading Scale (+/- grades will be used)
90% A
80% B
70% C
60% D
XIII. Attendance Policy:
Prior notification is required for excused absences. Extreme circumstances are required in
order to be excused from a scheduled examination, and furthermore, arrangements must
be worked out with the instructor (not the chair, secretary, etc.) prior to the examination
time. There is a 3% penalty for each unexcused absence.
XIV. Academic Honesty Policy:
Eastern Oregon University places a high value on academic integrity. Any action on the part of
the student to utilize unauthorized (by the instructor) sources of information or methods of
deceiving the instructor in his evaluation of the student's performance, or to gain an unfair
advantage over fellow students, will not be tolerated. The penalty for actions generally
regarded as cheating may include a zero for the assignment, a failing grade for the course,
expulsion from the university, or similar punishments as expressed in the student handbook
(http://www.eou.edu/saffairs/handbook/honest.html)
Working with fellow students on methods and concepts of homework and projects is
encouraged. However, the final product must be you own.
XV.
Students with Disabilities Policy:
If you have a documented disability or suspect that you have a learning problem and need
accomodations, please contact Disability Services (Loso Hall, Room 234) as soon as possible.
XVI. Other Policies:
Students need to be aware of all EOU policies in the Student Handbook, including, but not
limited to
 Classroom Decorum
 Student Conduct Policy
 Academic Honesty Code
 Sexual Assault Policy
 Sexual Harassment Policy
 Drug and Alcohol Policy
 Tobacco Policy
 Computing and Acceptable Use Policy
 Class Attendance Policy
XVII. Syllabus Preparer and Date:
Syllabus last updated Winter 2009 by Anthony A. Tovar, Ph. D.
Instructor's Information:
Anthony A. Tovar, Ph. D., BH 107C, atovar@eou.edu
Time and Place of Course:
MTuThF 1:00-1:50, BH 104