Biography
Dr. James Cook serves as an Associate Professor of Mathematics at Liberty University since 2008. Dr. Cook’s personal academic interests are in both math and physics. He 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. Dr. Cook enjoys mentoring undergraduates who seek excellence in math. Much of his recent research has involved students.
Professional Memberships
- American Mathematical Society and Mathematical Association of America
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
Courses Taught
- MATH 121: College Algebra
- MATH 126: Elementary Calculus for Business and Science
- MATH 131/132: Calculus and Analytic Geometry I & II
- MATH 133: Calculus with Mathematica Lab
- MATH 200: Introduction to Mathematical Reasoning
- MATH 201: Introduction to Probability and Statistics
- MATH 221: Applied Linear Algebra
- MATH 307: Introductory Number Theory
- MATH 321: Linear Algebra
- MATH 331: Complex Variables
- MATH 332: Advanced Calculus
- MATH 334: Differential Equations
- MATH 421/422: Elementary Abstract Algebra I & II
- MATH 495: Directed Research
- MATH 497: Special Topics in Mathematics
- PHYS 201/201L & 202/202L: General Physics I & II and Labs
- PHYS 231/231L & 232/232L: University Physics I & II and Labs
- PHYS 495: Directed Research
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)