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Schedule Teaching PAST-COURSES
SeLo 2022t Alg 2022t
past SeLo
past Abstract Algebra
past LinA
past DfyQ
past Plex
past NT&Crypto
Combinatorics 2017-2018


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Actually...I don't wear a tie. Past courses taught…

…by Prof. JLF King
Course pages have exams, final-projects and mathematical handouts. The Teaching Page has a large collection of Usually Useful PamphletsUsually Useful Pamphlets. Also available is a chronological list of course descriptions 2003–Now and a list of course-Titles, 1990–Now.

Topological and Measurable Dynamical Systems Ergodic Theory & Dynamical Systems , [Autumn 2009] . Full-year introductory course in Dynamical Systems with emphasis on Ergodic theory (studies measure-preserving maps of a space to itself) and elementary Topological Dynamics (studies continuous maps of a compact metric-space to itself). As time permits, Symbolic or Differential dynamics may be studied, particularly in the 2nd semester. (See also ET&DS from Aut. 2000.)


Beginning probability theory with a bit of measure theory Probability & Potential Theory 1, [Autumn 2003]. MAP6472 MWF2 in LIT217.

Continuation of probability theory with a bit of measure theory. Probability & Potential Theory 2, [Spring 2004]. MAP6473 MWF 7 in FLO100. (Griffin-Floyd Hall)


Metric spaces, compactness, connectedness Topology One , Autumn 1997. Has elementary results on connectedness, compactness and metric spaces; several were written by my students.

Urysohn, Stone-Cech, intro. to algebraic topo. Topology Two , the Spring 1998 continuation.


NT1, We may use more advanced computing devices... Introduction to Number Theory. Modular arithmetic, Chinese Remainder Thm, Legendre/Jacobi symbols, Quadratic reciprocity, Fermat SoTS & Lagrange 4-square theorems, basic cryptography (Diffie-Hellman, RSA). Assumes no previous knowledge of Number Theory.



We may use more advanced computing devices... Number Theory 2, assumes that the student is comfortable with the notion n mod k, what a prime number is, the Chinese Remainder Theorem, and the Legendre symbol. Roughly it assumes the first half of Strayer's Elementary Number Theory, or parts of the first 3 chapters of An Introduction to the Theory of Numbers by Niven, Zuckerman and Montgomery.

We may use more advanced computing devices... NT & Mathematical Cryptography [NT&Crypto]. A Special Topics course [prerequisite: Sets&Logic or permission of the instructor] that assumes only a basic knowledge of modular arithmetic, and the Euler phi-function. Reading the first chapter or two of any standard text, e.g Stayer or Silverman, is sufficient.


Full-year course Permutations & combinations Combinatorics I & II, Autumn 2017, Spring 2018.

Permutations & combinations Combinatorics I , first semester, Autumn 2012.

Chromatic polynomial of a graph Combinatorics II , second semester, in Spring 2013.

See also the Autumn 1994, Spring 1995 full-year course.




Groups, rings, fields. Abstract Algebra 1 [Spring 2008 and Aut. 2005] . Group theory, with some discussion of Fields and Rings.


A Venn diagram Sets and Logic (SeLo). Teaches students to read and produce proofs, and learn the basic language of modern Mathematics. See also past SeLo incarnations.

Four tiles tiling a square. Numbers & Polynomials (NaPo) [Spring 2006]. Text: Numbers & Polynomials by Prof. Kermit Sigmon. This course is run Moore Method, meaning that students prove all theorems, with enlightened guidance from the Professor.


Matrices, determinants, Gauss-Jordan algorithm Computational Linear Algebra [Aut. 2007]. Introduces Matrices, determinants, the Gauss-Jordan algorithm... .

Proofs, matrices, determinants, Gauss-Jordan algorithm (theoretical) Linear Algebra, MAS4105, which is a proof-based course. See also Past LinA incarnations.


PythagoreanEuclidean Geometry. [Spring 2012] A proof-based course covering a superset of: Theorems on Triangles (centroid, in-center, circum-center, ortho-center, Euler-line, Simson-Line), circles (Central-angle thm, Power-of-a-point), ruler/straightedge contructions and dissections of polygons. Matrix multiplication will be introduced for easy descriptions of transformations preserving Euclidean theorems. Time permitting, elem. Projective Geometry will be introduced, since many PG thms are also EG thms.


Uniform convergence, compactness, etc. ACES (Advanced Calc for Engineers and Scientists). Real Analysis in Euclidean spaces [full-year course.].

Uniform convergence, compactness, etc. ACT (Advanced Calculus, Theoretical). Real Analysis in metric spaces [full-year course.]. This is the AdvCalc for those intending graduate work in Mathematics.

Uniform convergence, compactness, etc. Modern Analysis I . A full-year course in Real Analysis. It uses the highly-regarded Baby Rudin text, and covers some Measure Theory.

Cauchy-Goursat theorem Complex analysis , and past Plex incarnations. of the course.


Calc 1. Honors Calculus I [Aut. 2001]. Introductory calculus course requiring careful exposition by the students.

Conic sections, Taylor series Calculus II [Spring 2010]. Careful treatment of 1-dimensional calculus, with emphasis on Taylor's theorem and Taylor series. (Also has notes from Autumn 1995, Calc2.)

Calc 3. Calculus III. Rigorous treatment of multi-dimensional calculus. (Has notes from Autumn 2003&2002, and from Spring 2002&1999.)

DiffyQ. Elementary Differential Equations. Beginning DiffyQ for the bright, motivated, hard-working student. Available are exams from previous DfyQ incarnations.


Calc Survey of Calculus 2, with earlier versions.




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