Courses, Fall 2008:

• MATH 453/653, Abstract Algebra I, TR 1:00pm -- 2:15pm, CBC C126.  "[Together with MATH 454, topics include] sets, functions, groups, quotient groups, homomorphism theorems, Abelian groups, rings, polynomial rings, division rings, Euclidean domains, fields and vector spaces."  Prerquisites:  MATH 251 and MATH 330.  3 credits.
  
• MATH 455/655, Number Theory I, TR 8:30am -- 9:45am, CBC C225.  "Topics [together with MATH 456]  include divisibility, arithmetic functions, congruences, quadratic residues, primitive roots, Diophantine equations, continued fractions, algebraic numbers, partitions."  Prerequisite:  MATH 330.  3 credits.    
  
• Office hours:  Tuesday and Thursday, 9:45 -- 10:30, 2:15 -- 3:00, or by appointment.  
• I use WebCampus to post grades and other important information about my courses.
  

Archives:

• MAT 126, Precalculus I.  Fall 2007.  "Topics include fundamentals of algebra, functions and graphs, polynomial, rational, exponental, and logarithmic functions, and systems of linear equations."   3 credits. 
• MAT 127, Precalculus II.  Fall, 2003.  "Topics include circular functions, trigonometric identities and equations, conic sections, complex numbers, and discrete algebra."  Prerequisite:  MAT 126, a score of 24 on the ACT, or a score of 560 on the SAT.  3 credits.
• MAT 181, Elementary Calculus I, Fall, 2002, Fall 2004.  "Differentiation and integration of algebraic and transcendental functions, with applications."  Prerequisite:  MAT 128 or equivalent.  4 credits.
• MAT 182, Elementary Calculus II, Spring 2003.  "Further applications and techniques of integration including integration by parts, sequences and series, polynomial approximations."  Prerequisite:  MAT 181.  4 credits.
• MATH 251, Discrete Mathematics I, Spring 2007.  "Topics include set operations, Cartesian product relations and functions, equivalence relation, graphs and digraphs, propositional calculus, truth tables, mathematical induction, elementary combinatorics with applications to probability."  Corequisite:  MATH 182.  3 credits.
  
• MAT 283, Intermediate Calculus, Spring, 2002, Fall 2005.  "Vectors; differentiation and integration of vector valued functions; multivariable calculus; partial derivatives; multiple integrals and applications; line, surface, and volume integrals; Green's theorem; divergence theorem; and Stoke's theorem."  Prerequisites:  MAT 182.  4 credits.
• Mat 330 (formerly MAT 253), Linear Algebra, Spring 2002, Fall 2006.  "Introduction to linear algebra, including matrices and linear transformations, eigenvalues, and eigenvectors." Prerequisite, M182.  3 credits.
• MAT 351, Discrete Mathematics II, Spring 2003, Spring 2004, Spring 2005.  "Infinite sets, Cantor's diagonal argument, first order logic, formal and informal proofs, combinatorics, Boolean algebra, lattices and graphs."  Prerequisites:  MAT 182.  The course has change, but for some reason, the description has not.  A more accurate description would be "Modular arithmetic and number theory, leading up to RSA (the first public key code system), and graph theory (leading up to the five color theorem)."
• MAT 455, Number Theory I, Fall 2007.  "Topics [together with MATH 456]  include divisibility, arithmetic functions, congruences, quadratic residues, primitive roots, Diophantine equations, continued fractions, algebraic numbers, partitions."  Prerequisite:  MATH 330.  3 credits.
• MATH 456/656, Number Theory II, Spring 2008.  "Topics [together with MATH 455]  include divisibility, arithmetic functions, congruences, quadratic residues, primitive roots, Diophantine equations, continued fractions, algebraic numbers, partitions."  Prerequisite:  MATH 455.  3 credits.
  
• MAT 480, College Geometry, Fall, 2002, Fall, 2003,  Spring 2003, Fall 2004, Spring 2005, Fall 2005, Fall 2006, Spring 2007, Fall 2007, Spring 2008.  "Study of advanced geometrical topics using the methods of proof of elementary geometry."  Prerequisite:  MAT 181 or consent of the instructor.  3 credits.
• MAT 789, Elliptic curves (Advanced Topics in Mathematics).  Cancelled, Fall, 2003.  In this course, we will study elliptic curves, a topic in number theory and algebraic geometry.  The subject is both old and ubiquitous. Certain properties of elliptic curves were known to Fermat.  Euler used elliptic curves to prove Fermat’s Last Theorem for n = 3. Modern research on elliptic curves was instrumental in Andrew Wiles’ proof of Fermat’s Last Theorem. The theory of elliptic curves also has remarkable relevance to our modern society.  There are elliptic curve based cryptographic schemes, and there is an elliptic curve algorithm for factoring large numbers (the latter is useful for breaking certain codes).  We will only touch on some of these topics.  Prerequisites:  Abstract Algebra (MAT 453/653 and 454/654), or consent of the instructor.  3 credits.  If you are interested in taking this course, please let me know.  Thank you.