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  PAST-COURSES
Combinatorics 2017-2018 DfyQ 2017t
Complex Vars 2017g SeLo 2017g
NumT 2016s NT & Math Crypto 2016g
LinA 2015t DfyQ 2015t
DfyQ 2015g (NO WEBPAGE) SeLo 2015g
Crypto 2014g SeLo 2013g Melrose Nemo Parade, 2015 Melrose Moon Parade, 2016

Actually...I don't wear a tie. Chronological list of courses taught 2003–ThePresent

…by Prof. JLF King at Univ. of FL. For just course titles, a complete 1990–ThePresent list is available.

See the Teaching Page for Usually Useful PamphletsUsually Useful Pamphlets.



Spring 2013

Chromatic polynomial of a graph, Generating fncs Combinatorics II , will start with the clever notion of Generating Functions.

We may use more advanced computing devices... Number Theory & Cryptography . This course is an introduction to coding theory in general, and Mathematical Cryptography in particular. It does not assume a previous Number Theory course, only asking that the student do a bit of reading before the semester begins. (The webpage has a few suggestions.)


Autumn 2012

Permutations & combinations Combinatorics I , with many methods of counting. Note: I give test of prerequisite knowledge during Add/Drop. A practice exam is on our webpage.

Multi-variate integration & differentiation Calculus III Careful treatment of multi-dimensional calculus. Note: I give test of prerequisite knowledge during Add/Drop. Our webpage has a practice exam.


Spring 2012

PythagoreanEuclidean Geometry. 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.

A Venn diagramSets and Logic. Helps students to read and produce proofs, and learn the basic language of modern Mathematics. There was a test of prerequisite knowledge on Wedn, 11Jan.; our webpage has a practice exam.


Autumn 2011

Matrices, determinants, Gauss-Jordan algorithm (theoretical) Linear Algebra. Matrices, determinants, Gauss-Jordan algorithm, eigenvalues/vectors, matrix diagonalization, various matrix decompositions.

A Venn diagram Sets and Logic . Helps students to read and produce proofs, and learn the basic language of modern Mathematics.


Spring 2011

Uniform convergence, compactness, etc. Modern Analysis II . The continuation of a full-year course in Real Analysis. Time permitting, we will learn some Ergodic Theory (dynamical systems) this semester. Its undergrad number is MAA4227 6499 and grad is MAA5228 7059.

We may use more advanced computing devices...Number Theory & Mathematical Cryptography: [MAT4930 7554] This Special Topics course assumes basic NT (e.g, Euler-phi function, modular arithmetic, Fermat's Sum-of-Two-Square theorem).


Autumn 2010


Uniform convergence, compactness, etc. Modern Analysis I
. A full-year course in Real Analysis. It uses the highly-regarded Baby Rudin text. Time permitting, I hope to discuss a bit of Ergodic Theory (dynamical systems) in the 2nd semester.

Matrices, determinants, Gauss-Jordan algorithm (Abstract) Linear Algebra .


Spring 2010

Taylor series, etc. Calculus II . Careful treatment of 1-dimensional calculus, with emphasis on Taylor's theorem and Taylor series.

Dynamical systems. Ergodic Theory and Dynamical Systems 2. Photo of text cover Second semester of a full-year intro course in Dynamical systems, using the new-ish text by Glasner.


Autumn 2009

Dynamical systems. Ergodic Theory and Dynamical Systems 1 . A 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 dynamics may be studied.

A Venn diagram Sets and Logic . Helps students to read and produce proofs, and learn the basic language of modern Mathematics.


Autumn 2008 and Spring 2009

Uniform convergence, compactness, etc. Advanced Calculus for Engineers and (Physical) Scientists [ACES] Introductory Real Analysis on Euclidean Spaces. One might say that it is Calculus done right, on Rn, with rigorous definitions and proofs. (If time permits, we'll do an introduction to Metric Spaces, probably in the second semester.)

Uniform convergence, compactness, etc. Advanced Calculus (Theoretical) [ACT] Introductory Real Analysis on Metric Spaces. For students who plan to do graduate work in mathematics, this is the AdvCalc course to take.


Spring 2008

Groups, rings, fields. Abstract Algebra 1 . An introduction to Groups, Rings and Fields. This is for the motivated hard-working ambitious student who likes games, puzzles ...and Thinking in general.

A Venn diagram Sets and Logic . Helps students to read and produce proofs, and learn the basic language of modern Mathematics.


Autumn 2007

We may use more advanced computing devices... Number Theory & Elliptic Curve Cryptography is an undergraduate Special Topics course which is also appropriate for graduate students who have not had extensive Number Theory. This course does not require MAS4203 as prerequisite. All that is necessary is some preparatory reading from a free online NT text. What we cover will be partly determined by students' interests.

The central theme is Number Theory and codes of various kinds: Diffie-Hellman protocol, Huffman coding, Ziv-Lempel, Meshalkin isomorphism code, Elliptic Curve Codes. We will discuss various algorithms, such as repeated-squaring, and Shank's Baby-step Giant-step method for computing a Discrete logarithm.



Matrices, determinants, Gauss-Jordan algorithm Computational Linear Algebra . Matrices, determinants, Gauss-Jordan algorithm, eigenvalues/vectors, matrix diagonalization, various matrix decompositions.

My section of this course will have a test of prerequisite knowledge on Monday, 27Aug2007. The course webpage has a Sample Exam.




Spring 2007
We may use more advanced computing devices... Number Theory 1, of Spring 2007. Modular arithmetic, Chinese Remainder Thm, Legendre/ Jacobi symbols, Quadratic reciprocity, Fermat's SoTS thm, Lagrange 4-square thm, basic cryptography (Diffie-Hellman, RSA). Assumes no previous knowledge of Number Theory.

Matrices, determinants, Gauss-Jordan algorithm Computational Linear Algebra . Matrices, determinants, Gauss-Jordan algorithm, and various matrix decompositions.


Autumn 2006
We may use more advanced computing devices...Number Theory 2 & Cryptography: A continuation of my NT1 with an emphasis on Mathematical Cryptography. Course NT1 is not a prerequisite; modular arithmetic and a little bit more is sufficient.

Uniform convergence, compactness, etc.Advanced Calculus This is an introductory Real Analysis course. One might say that it is "Calculus done right", with rigorous definitions and proofs. If time permits, we'll do an introduction to Metric Spaces.


Spring 2006
We may use more advanced computing devices... Introduction to Number Theory, 1 , Spring 2006. This course is an introduction to elementary number theory. It assumes no previous knowledge of number theory.

May all of Life be a Cheerful Puzzle... Numbers & Polynomials . Textbook: Numbers & Polynomials by Prof. Kermit Sigmon. This course is run Moore Method, meaning that students prove all theorems, with enlightened guidance from the Professor.


Autumn 2005

Matrices, determinants, Gauss-Jordan algorithm (theoretical) Linear Algebra . MAS4105.

Groups, rings, fields. Abstract Algebra 1 An introduction to Groups, Rings and Fields.


Spring 2005
For the academic year Autumn 2004 through Spring 2005 I was on Research Leave.

Autumn 2004

... nor a jacket ... Prof. King will be on Research Leave for Autumn2004-Spring2005 and will not be teaching. (He does plan to be present!, working on a writing project.)


Spring 2004

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

A pendulum, a spring, a diffyQ! Elementary Differential Equations MAP2302  section 3145 : Beginning differential eqns for the bright, motivated, hard-working student.


Autumn 2003

Beginning probability theory with a bit of measure theory. Probability & Potential Theory 1 MAP6472 MWF2 in LIT217.

Calculus III: Careful treatment of multi-dimensional calculus.


Spring 2003

Groups, rings, fields. Abstract Algebra 1 An introduction to Groups, Rings and Fields.

A pendulum, a spring, a diffyQ! Elementary Differential Equations Beginning differential eqns for the bright, motivated, hard-working student.

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________________End: Teach: Chronological Courses