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 Keplerís 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 Greenís Theorem, Stokesí Theorem, and† the Divergence Theorem
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: