Fall 2007 Course Descriptions

All courses below are approved to be taught in Fall 2007; however, some (or all) may not be offered this term.  The course numbers that are offered this term link to the Schedule of Classes.  Class with alternative delivery modes (Web based, cable TV, correspondence, etc) are noted in the Schedule at the section level.  The complete list below is a good indicator of what may be offered over the next few years (contact department about offerings).  For explanations of course elements see the Key to Course Descriptions.

NOTE: When registering for an UA South course please be sure to note the location of the course offering.

Mathematics (MATV)  Department Info

MATV 302A -- Understanding Elementary Mathematics (A)  (3 units)
Description:  Development of a basis for understanding the common processes in elementary mathematics related to whole numbers, fractions, integers, and probability.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 105 or MATH 109/110/112 or acceptable score on the UA Math Readiness Test. This course is for elementary education majors only.
Usually offered:  Fall, Spring.

MATV 302B -- Understanding Elementary Mathematics (B)  (3 units)
Description:  Development of a basis for understanding the common processes in elementary mathematics related to estimation, graphing of functions, measurement, geometry, and data analysis.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 302A; for elementary education majors only.
Usually offered:  Fall, Spring.

MATV 315 -- Introduction to Number Theory and Modern Algebra  (3 units)
Description:  Divisibility properties of intergers, primes, congruencies, quadratic redidues, number-theoretic functions.
Grading:  Regular grades are awarded for this course: A B C D E. Available to qualified students for Pass/Fail Option.
Equivalent to:  MATH315
Mutually Exclusive: Credit allowed for only one of these courses: MATV 315 or MATH 315
Prerequisite(s):  MATH 323 or consent of instructor.
Usually offered:  Spring.

MATV 323 -- Formal Mathematical Reasoning and Writing  (3 units)
Description:  Elementary real analysis as an introduction to abstract mathematics and the use of mathematical language. Elementary logic and quantifiers; manipulations with sets, relations and functions, including images and pre-images; properties of the real numbers; supremum and infimum; other topics selected from cardinality, the topology of the real line, sequence and limits of sequences and functions; the emphasis throughout is on proving theorems.  This is a Writing Emphasis Course.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH323
Mutually Exclusive: Credit allowed for only one of these courses: MATV 323 or MATH 323
Prerequisite(s):  satisfaction of the Mid-Career Writing Assessment (MCWA) or the former upper-division writing proficiency requirement (UDWPE); MATH 215.
Usually offered:  Fall, Spring, Summer.

MATV 330 -- Topics in Geometry  (3 units)
Description:  Topics to be selected from 2- and 3-dimensional combinatorial geometry, Euclidean transformational geometry, symmetry, geometric optimization (shortest path problems), theorem of the arithmetic and geometric means, isoperimetric problem, polyhedra, and 3- and... and 2-dimensional crystallography.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH330
Mutually Exclusive: Credit allowed for only one of these courses: MATV 330 or MATH 330
Prerequisite(s):  MATH 215.
Usually offered:  Fall, Spring, Summer.

MATV 362 -- Introduction to Probability Theory  (3 units)
Description:  Sample spaces, random variables and their properties, with considerable emphasis on applications. Computer exercises and hands-on activities will be used in class to introduce the concepts.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH362
Mutually Exclusive: Credit allowed for only one of these courses: MATV 362 or MATH 362
Prerequisite(s):  MATH 129 or MATH 250A.
Usually offered:  Fall, Spring, Summer.

MATV 399 -- Independent Study  (1-5 units)
Description:  Qualified students working on an individual basis with professors who have agreed to supervise such work.
Grading:  Alternative grades are awarded for this course: S P C D E.
May be repeated:  an unlimited number of times, consult your department for details and possible restrictions.
Usually offered:  Fall, Spring, Summer.

MATV 402 -- Mathematical Logic  (3 units)
Description:  Sentential calculus, predicate calculus; consistency, independence, completeness, and the decision problem. Designed to be of interest to majors in mathematics or philosophy.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH402
Mutually Exclusive: Credit allowed for only one of these courses: MATV 402 or MATH 402
Prerequisite(s):  MATH 124 or MATH 125; experience with theoretical mathematical reasoning. Credit allowed for only one of these courses: MATV (MATH) 402 or MATH 401A.
Identical to:  CSCV 402.
May be convened with:  MATV 502.
Usually offered:  Fall, Spring, Summer.

MATV 413 -- Linear Algebra  (3 units)
Description:  Vector spaces, linear transformations and matrices, determinants, eigenvalues and diagonalization, bilinear forms, orthogonal and unitary transformations, Jordan canonical form.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATV/MATH 323. Credit allowed for only one of the following: MATV/MATH 413, MATV/MATH 410.
May be convened with:  MATV 513.
Usually offered:  Fall, Summer.

MATV 415A -- Introduction to Abstract Algebra  (3 units)
Description:  Introduction to groups, rings, and fields.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH415A
Mutually Exclusive: Credit allowed for only one of these courses: MATV 415A or MATH 415A
Prerequisite(s):  MATV 323 or MATH 323.
May be convened with:  MATV 515A.
Usually offered:  Fall, Spring, Summer.

MATV 415B -- Second Course in Abstract Algebra  (3 units)
Description:  A continuation of MATV 415A but the subject matter is generally independent of the theory of groups.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH415B
Mutually Exclusive: Credit allowed for only one of these courses: MATV 415B or MATH 415B
Prerequisite(s):  MATH 415A.
May be convened with:  MATV 515B.
Usually offered:  Spring.

MATV 443 -- Theory of Graphs and Networks  (3 units)
Description:  [Taught Fall semester in even-numbered years] Undirected and directed graphs, connectivity, circuits, trees, partitions, planarity, coloring problems, matrix methods, applications in diverse disciplines.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH443
Mutually Exclusive: Credit allowed for only one of these courses: MATV 443 or MATH 443
Prerequisite(s):  MATH 323 or MATH 243 or C SC 245.
Identical to:  CSCV 443.
May be convened with:  MATV 543.
Usually offered:  Fall.

MATV 475A -- Mathematical Principles of Numerical Analysis  (3 units)
Description:  Analysis of errors in numerical computations, solution of linear algebraic systems of equations, matrix inversion, eigenvalues, roots of nonlinear equations, interpolation and approximation. The software package Matlab (or something similar) is used.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH475A
Mutually Exclusive: Credit allowed for only one of these courses: MATV 475A or MATH 475A
Prerequisite(s):  MATH 254 or MATH 355 or MATH 250B, MATH 215.
Identical to:  CSCV 475A.
Usually offered:  Fall, Spring, Summer.

MATV 475B -- Mathematical Principles of Numerical Analysis  (3 units)
Description:  Numerical integration, solution of systems of ordinary differential equations, initial value and boundary value problems.
Grading:  Regular grades are awarded for this course: A B C D E.
Equivalent to:  MATH475B
Mutually Exclusive: Credit allowed for only one of these courses: MATV 475B or MATH 475B
Prerequisite(s):  MATV 475A or MATH 475A.
Identical to:  CSCV 475B.
Usually offered:  Fall, Spring, Summer.

MATV 499 -- Independent Study  (1-5 units)
Description:  Qualified students working on an individual basis with professors who have agreed to supervise such work.
Grading:  Alternative grades are awarded for this course: S P C D E.
May be repeated:  an unlimited number of times, consult your department for details and possible restrictions.
Usually offered:  Fall, Spring, Summer.

MATV 502 -- Mathematical Logic  (3 units)
Description:  Sentential calculus, predicate calculus; consistency, independence, completeness, and the decision problem. Designed to be of interest to majors in mathematics or philosophy. Graduate-level requirements include more extensive problem sets or advanced projects.
Grading:  Regular grades are awarded for this course: A B C D E.
Identical to:  CSCV 502.
May be convened with:  MATV 402.
Usually offered:  Fall, Spring, Summer.

MATV 513 -- Linear Algebra  (3 units)
Description:  Vector spaces, linear transformations and matrices, determinants, eigenvalues and diagonalization, bilinear forms, orthogonal and unitary transformations, Jordan canonical form. Graduate-level requiements include additional homework, a comprehensive final project and will have more extensive examinations.
Grading:  Regular grades are awarded for this course: A B C D E.
May be convened with:  MATV 413.
Usually offered:  Fall, Summer.

MATV 515A -- Introduction to Abstract Algebra  (3 units)
Description:  Introduction to groups, rings, and fields. Graduate-level requirements include additional homework, a comprehensive final project and will have more extensive examinations
Grading:  Regular grades are awarded for this course: A B C D E.
May be convened with:  MATV 415A.
Usually offered:  Fall, Spring, Summer.

MATV 515B -- Second Course in Abstract Algebra  (3 units)
Description:  A continuation of MATV 415A but the subject matter is generally independent of the theory of groups. Graduate-level requirements include more extensive problem sets or advanced projects.
Grading:  Regular grades are awarded for this course: A B C D E.
Also see:  MATH515B
May be convened with:  MATV 415B.
Usually offered:  Spring.

MATV 543 -- Theory of Graphs and Networks  (3 units)
Description:  [Taught Fall semester in even-numbered years] Undirected and directed graphs, connectivity, circuits, trees, partitions, planarity, coloring problems, matrix methods, applications in diverse disciplines. Graduate-level requirements include more extensive problem sets or advanced projects.
Grading:  Regular grades are awarded for this course: A B C D E.
Also see:  MATH543
Identical to:  CSCV 543.
May be convened with:  MATV 443.
Usually offered:  Fall.