UMM ACADEMIC AFFAIRS

COURSE PROPOSALS

Form RC:

Revised Course Proposal

FORM RC

(2/00)

 

Discipline:

Mathematics

 

 

Date:

8/30/02

 

Course Revision #1

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 1011f,s. Pre-Calculus. (4 cr; prereq high school higher algebra, geometry; intended to prepare students for Math 1101)

 

Polynomial, rational, exponential, logarithmic, and trigonometric functions; trigonometric identities and equations; polar coordinates and topics from analytic geometry; systems of equations, determinants, and matrices; arithmetic, geometric, and simple infinite series; binomial theorem.

II. Rationale (see instructions):

Clarifies the intent of this course (it is not a terminal mathematics course). Changes to the course description are to more accurately describe the content of the course.

Course Revision #2

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 1021f. Survey of Calculus. (M/SR; 4 cr; prereq high school higher algebra, geometry or Math 1011)

 

Short course for students in social sciences, biological sciences, and other areas requiring a minimal amount of calculus. Topics include basic concepts of functions, derivatives and integrals, exponential and logarithmic functions, maxima and minima, partial derivatives; applications.

II. Rationale (see instructions):

The course meets the requirements for a M/SR general education designator.

Course Revision #3

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 1101f,s. Calculus I. (M/SR; 5 cr; prereq high school higher algebra, geometry, trigonometry or 1011)

 

Limits and continuity; The the concepts, properties, and some techniques of differentiation, antidifferentiation, and definite integration and their connection by the Fundamental Theorem. Partial differentiation. Some applications. Students will learn the basics of a computer algebra system.

II. Rationale (see instructions):

The course is taught in a computer lab, and students use the computers extensively. One of the goals of the course is to introduce students to the computer algebra system Mathematica so that instructors can use it in higher level courses.

Course Revision #4

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 1102f,s. Calculus II. (M/SR; 5 cr; prereq 1101)

 

Techniques of integration. Further applications involving mathematical modeling and solution of simple differential equations. Taylor's Theorem. Limits of sequences. Use and theory of convergence of power series. Students will use a computer algebra system.

II. Rationale (see instructions):

The course is taught in a computer lab, and students use the computers extensively.

Course Revision #5

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 2211f. History of Mathematics. (4 cr; prereq Math course above 1100 or #; not offered 2001-02 2003-04)

II. Rationale (see instructions):

Update year of offering.

 

Course Revision #6

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 23012202s. Mathematical Perspectives. (M/SR; 4 cr; prereq 1101)

 

Introduction to the methodology and subject matter of modern mathematics. Sets, functions, relations, cardinality, and induction. The axiomatic method: definitions and examples of graphs, metric spaces, groups and rings. Roots of complex polynomials. Other selected topics.

II. Rationale (see instructions):

In the Mathematics Discipline's numbering system a second digit 2 indicates a pure math course and a second digit 4 an applied math course. Mathematical Perspectives is a pure math course, and should be numbered x2xx. It was always intended to be a possible elective for a math minor but is excluded at present since  that list  of electives specifies electives numbered as x2xx and x4xx.

 

The change would (i) clearly identify the course as a pure math course and (ii) include it as an elective for a math minor.

Course Revision #7

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 2401f. Differential Equations. (M/SR; 4 cr; prereq 1102 or #)

 

First-order and second-order differential equations with methods of solution and applications, systems of equations, series solutions, existence and uniqueness theorems, numerical solutions of first-order equations; the qualitative theory of differential equations.

II. Rationale (see instructions):

There is no discussion of numerical methods for first order differential equations in this course. The numerical solution of differential equations is treated in Math 4401 Numerical Methods with Applications in Mathematical Modeling.

Course Revision #8

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 3211f. Geometry. (M/SR; 4 cr; prereq Math course above 1100; not offered 2002-03 2004-05)

II. Rationale (see instructions):

Update year of offering.

Course Revision #9

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

MATH 3501. Applied Deterministic Modeling for Management Science.

(M/SR; 2 cr; prereq 1101 or Stat 1601 or Stat 2601 or Stat 2611, Mgmt 2102, or #)

 

Same as Mgmt 3501. Formulations of real-world problems as Linear Programming or Integer Linear Programming models; graphical solutions of some LP models. Linear Programming: the Simplex method, intuitive ideas behind the Simplex method. Using software to solve LP problems; interpreting optimal solutions; sensitivity analysis; duality. Network diagram representation; critical path method (CPM-PERT); transportation problem.

II. Rationale (see instructions):

The course meets the requirements for a M/SR general education designator.

Course Revision #10

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

MATH 3502. Applied Probabilistic Modeling for Management Science.

(M/SR; 2 cr; prereq 1101 or Stat 1601 or Stat 2601 or Stat 2611, Mgmt 2102, or #)

 

Same as Mgmt 3502. Short review of probability and statistics; mean and variance of a data set; discrete and continuous random variables (especially the exponential distribution and the Poisson distribution). Decision and game theory. Decision trees, types of

decision criteria. Queueing models, birth-and-death processes; Markovian or Poisson arrivals and exponenetial service times; M/M/k and M/M/8 queues; Statistical Quality Control; inventory control system.

II. Rationale (see instructions):

The course meets the requirements for a M/SR general education designator.

Course Revision #11

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 4201s. Complex Analysis. (M/SR; 2 cr; prereq 3221 or #; not offered 2002-03 2004-05)

II. Rationale (see instructions):

Update year of offering.

Course Revision #12

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 4211f s. Real Analysis. (M/SR; 2 cr; prereq 3221 or #; not offered 2001-02 2003-04)

II. Rationale (see instructions):

Update year and term of offering.

Course Revision #13

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 4221s f. Topology. (M/SR; 2 cr; prereq 2301 or #; not offered 2002-03 2004-05)

II. Rationale (see instructions):

Update year and term of offering.

Course Revision #14

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 4231f. Abstract Algebra II. (M/SR; 2 cr; prereq 3231 or #; not offered 2001-02 2003-04)

II. Rationale (see instructions):

Update year of offering.

Course Revision #15

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 4241f. Number Theory. (M/SR; 2 cr; prereq 2301 or #; not offered 2002-03 2004-05)

II. Rationale (see instructions):

Update year of offering.

Course Revision #16

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 4401s. Numerical Methods With Applications in Mathematical Modeling. (M/SR; 4 cr; prereq 2111, 2401 or #; not offered 2001-02 2003-04)

II. Rationale (see instructions):

Update year of offering.

Course Revision #17

I. Give complete UMM catalog entry (deletions in strikethru font, additions underlined)(see instructions)

Math 4450s. Variable Topics in Applied Mathematics. (M/SR; 4 cr; repeatable when topic changes; prereq #; not offered 2002-03 2004-05)

II. Rationale (see instructions):

Update year of offering.