I have taught Mathematics and Introductory Statistics at the University of Tennessee at Martin for over thirty-four years now. I usually teach four courses per semester. My print publications are listed on a separate page. In my "spare time" I am an active web content developer with tens of thousands of web pages on prime numbers theory and records, especially the database of the 5,000 largest known primes.
Courses taught recently.
Descriptive measures, elementary probability, sampling, random variables. Discrete probability distributions, normal probability distributions, and introduction to inference theory. See Canvas for the syllabus and all course materials.
Vectors and analytic geometric in space. Vector-valued functions of several variables. Differentials, gradients, and extrema of functions of several variables. Multiple integrals and their applications. Introductory vector analysis including line and surface integrals.
This course will introduce mathematics and statistics majors to formal mathematical and statistical written and verbal communication including, but not limited to, preparing presentations and written papers in the mathematical and statistical sciences. The course will also provide majors with assistance in preparing resumes and various requirements, procedures, and guidelines of graduate school applications.
The integers: well-ordering, different bases, divisibility, primes, and factoring. The fundamental theorem of arithmetic and the division algorithm. Diophantine equations and applications of congruences. Pseudo-random numbers, pseudoprimes, and cryptography.
Functions and their graphs (including polynomial, rational, exponential, and logarithmic), exponents, roots, radicals, rational expressions, factoring polynomials, zeroes of polynomials, solutions of linear and nonlinear equations and inequalities, systems of equations and inequalities, matrices and determinants, inverse functions. Three hours of lecture and two hours of lab.
(Applies to the Math 251-252 sequence:) Limits and continuity. Derivatives and integrals of polynomial, exponential, logarithmic, trigonometric, and hyperbolic functions. Techniques of integration, conics, parametric and polar equations, indeterminate forms, and improper integrals. Infinite series, including Taylor's series. Must be taken in sequence.
(Applies to the Math 251-252 sequence:) Limits and continuity. Derivatives and integrals of polynomial, exponential, logarithmic, trigonometric, and hyperbolic functions. Techniques of integration, conics, parametric and polar equations, indeterminate forms, and improper integrals. Infinite series, including Taylor's series. Must be taken in sequence.
In 1984 I received my Ph.D. in algebraic number theory at the University of California at Berkeley, working under the topologist P. Emory Thomas.
I started as an undergraduate physics major at the California State University at Hayward. I eventually earned a B.S. in mathematics. California has re-branded my old school as "Cal State East Bay."
MondayMon | TuesdayTue | WednesdayWed | ThursdayThr | FridayFri | |
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7-7:50 | OFFICE | OFFICE | OFFICE | ||
8-8:50 | Math 170 | Math 170 | OFFICE | Math 170 | |
9-9:50 | OFFICE | OFFICE | OFFICE | OFFICE | |
10-10:50 | Math 314 | Math 314 | Math 314 | ||
11-11:50 | OFFICE | OFFICE | OFFICE | ||
12-12:50 | Math 210 | Math 210 | Math 210 | ||
1-1:50 | Math 210 | Math 210 | Math 210 | ||
2-2:50 | |||||
note | ** I am also available most times that I am not in class (the times not shaded, I am usually on campus until at least 4 pm) including most Thursdays. Call and see if I am in (7336), or email to make an appointment (caldwell@utm.edu). |
209 Hurt Street
University of Tennessee at Martin
Martin, Tennessee 38238
Department Phone: (731) 881-7360
Fax (731) 881-1407