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Dr. James Cook

Dr. James Cook

Associate Professor, Mathematics

(434) 582-2476
jcook4@liberty.edu

Education

  • Ph.D. in Mathematics, North Carolina State University
  • M.A. in Physics, SUNY Stony Brook
  • B.S. in Mathematics and Physics, North Carolina State University
  • A.A.S. in Electronic Engineering Technology, Mayland Community College

Biography

Dr. James Cook serves as an Associate Professor of Mathematics at Liberty University. His personal academic interests are in both math and physics. Dr. Cook has taught courses ranging from calculus to abstract algebra and has been privileged to teach a wide array of special topics courses at the request of gifted undergraduates. He enjoys mentoring undergraduates who seek excellence in math.

Professional Memberships

  • American Mathematical Society
  • Mathematical Association of America

Courses Taught

  • MATH 121: College Algebra
  • PHYS 231: University Physics I
  • PHYS 232: University Physics II
  • MATH 201/BUSI 230: Introduction to Statistics and Probability
  • MATH 126: Applied Calculus for Business or Life Sciences
  • MATH 221: Applied Linear Algebra
  • MATH 131: Calculus with Analytic Geometry I
  • MATH 132: Calculus with Analytic Geometry II
  • MATH 231: Calculus with Analytic Geometry III
  • MATH 307: Number Theory
  • MATH 321: Linear Algebra
  • Introduction to Mathematica
  • MATH 331: Complex Analysis
  • MATH 332: Advanced Calculus
  • Introduction to Proofs
  • MATH 334: Differential Equations
  • Differential Geometry
  • MATH 421: Abstract Algebra I
  • MATH 422: Abstract Algebra II
  • MATH 450: Senior Capstone
  • MATH 495: Directed Research in Advanced Classical Mechanics, Directed Research in A-Calculus, Directed Research in Topology, Directed Research in Algebraic Topology, Directed Research in PDEs, Directed Research in Supermath, Directed Research in Topology and Analysis, Directed Research in Lie Groups

Edited Works

  • On Submultiplicative Constants of an Algebra (with Khang V. Nguyen), Journal of Inequalities and Applications Journal of Inequalities and Applications (https://doi.org/10.1186/s13660-019-1981-2) (2019)
  • Analysis of power series in the A-calculus, International Mathematical Forum 13(10), 473–483 (2018)
  • Laplace Equations for Real Semisimple Associative Algebras of Dimension 2, 3 or 4 (with Bailu Zhang, Minh Nguyen and W. Spencer Leslie) in Topics from the 8th Annual UNCG Regional Mathematics and Statistics Conference, Springer Proceedings in Mathematics & Statistics (2013)
  • Holonomy in Rogers Supermanifolds with Applications to Super Yang-Mills Theory, (with R.O. Fulp), International Journal of Geometric Methods in Modern Physics; 8(2): 429-458 (2011)
  • Infinite Dimensional Super Lie Groups (with R.O. Fulp), Differential Geometry and its Application; 26(5): 463-482 (2008)
  • Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace, Journal of Mathematical Physics 47; 012304 (2006)
  • A Pulse Jumping Ring Apparatus for Demonstration of Lenz’ Law, (with P.Tanner, J. Loebach and, H.D. Hallen), American Journal of Physics 69, 911-916 (2001)

Research Interests

  • Foundations of analysis in supermathematics
  • Applications of hypercomplex analysis to the solution of partial differential equations
  • Exposition of hypercomplex analysis, in particular A-Calculus, for undergraduates
  • Math education, especially online course verity as it relates to instructional modalities
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