**MTH 277 Syllabus**

**Division**: Arts and Sciences Date: January, 2014

**Curricula in Which Course is
Taught**:

**Course Number and Title**: MTH 277, Vector Calculus

**Credit Hours**: 4 **Hours/Wk Lecture**: **Hours/Wk Lab**: **Lec****/Lab
Comb**:

**I.
****Catalog Description: **Presents
vector valued functions, partial derivatives, multiple integrals, and topics
from the calculus of vectors. Designed for mathematical, physical, and
engineering science programs.

Prerequisite:
MTH 274 or equivalent. Lecture 4 hours
per week.

** **

**II.
****Relationship of the course to
curricula objectives in which it is taught:
**

This
course is required in the engineering transfer program and will count as a math
elective in other transfer programs.
Applications focus on topics in engineering and applied sciences for
solving mechanical and electrical problems in 2-D and 3-D, understanding
vectors and vector equations, developing geometric intuition, and more.

**III.
****Required background**:

MTH 274
or equivalent

**IV.
****Course Content:**

1.
Vector Valued Functions

2.
Partial Derivatives

3.
Multiple Integrals

4.
Topics from the Calculus of
Vectors

**V. Learner Outcomes**

Upon completion of the course, students
are expected to be able to:

A. use
vector functions to describe curves and surfaces in space, motion of objects through
space, and Kepler’s laws of planetary motion

B. extend
the basic ideas of differential calculus to functions of several variables

C. determine
limit and continuity of a function of two or three variables

D. compute area, volume, mass, centroids of more general
regions by using double and triple integrals

E. calculate
probabilities when two random variables are involved

F. understand
the calculus of vector fields; define line integrals, and surface integrals

G. apply
higher-dimensional versions of the Fundamental Theorem of Calculus such as
Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem

**VI. Evaluation**

Students
will be evaluated by some combination of quizzes, tests, homework and exams as
defined by faculty**. Students will use calculators only after
demonstrating mastery of essential deductive skills without them.**

**VII. This course supports the
following objectives:**

** **

**DCC Educational Objectives:
**

Critical
Thinking

Quantitative Reasoning

Scientific Reasoning