Aaron Trautwein
Aaron Trautwein specializes in knot theory. Knot theory is a subfield of 拓扑结构, the area of mathematics that examines shape. In particular, he studies the physical and theoretical properties of harmonic knots and their applications. He has presented numerous talks on his research and wrote the chapter “An Introduction to Harmonic Knots” for the book 理想的结.
教授. Trautwein is also active in the scholarship of teaching mathematics. He examines the preparation of future secondary mathematics teachers and how to improve math teaching and learning techniques. He has been the principal or co-principal investigator for a number of grants from various agencies for this work. As part of an interdisciplinary team at Carthage, he was recently awarded a $1.2 million National Science Foundation Noyce Grant.
At Carthage, he has taught a wide array of courses for the Mathematics Department and Western Heritage Program. These courses include applied contemporary mathematics, ethno-mathematics, Calculus I and II, multivariate calculus, 几何, linear and abstract algebra, 拓扑结构, Western Heritage I and II, and an honors seminar on building and architecture. He was selected as Carthage’s Distinguished Teacher of the Year in 2001.
教授. Trautwein resides in 出赛 and is active in both the city and college communities. He completed the Leadership 出赛 Training Program, served as Carthage’s United Way Chair and on United Way 社区 Caring Teams for 15 years, and was a Board Member for the Spanish Center and the 出赛 Area United Way. At Carthage, he has served as the chair of the 教师 Executive Committee, a member of the Academic Senate, and has been the faculty representative to the 校友 Council for the past 20 years.
He earned his B.A. from Washington University, where he majored in mathematics and secondary education and minored in anthropology. At Washington University, he was selected to be a member of Phi Beta Kappa and earned a Missouri Lifetime Secondary School Teaching Certificate. He earned his M.A. in mathematics from St. Louis University and was selected to be a member of Pi Mu Epsilon, the national mathematics honorary. He received the Outstanding Teaching Assistant Award and earned his Ph.D. in mathematics for his thesis titled “Harmonic Knots” from the University of Iowa.
He joined the Carthage faculty in 1995.
- Ph.D. — Mathematics: Topology, University of Iowa
- M.A. — Mathematics, St. Louis University
- B.A. — Mathematics and Secondary 教育, Washington University (St. 路易斯)
- MTH 1030 Applied Mathematics
- MTH 1040 Principles of Modern Mathematics
- MTH 1050 Elementary Statistics
- MTH 1060 Finite Mathematics
- MTH 1070 Functions, Graphs and Analysis
- MTH 1120 Calculus I
- MTH 1220 Calculus II
- MTH 1240 Discrete Structures
- MTH 200T Topics in Mathematics
- MTH 2040 Linear Algebra
- MTH 2080 Modern Geometry
- MTH 2120 Multivariate Calculus
- MTH 3040 Abstract Algebra I
- MTH 3140 Abstract Algebra II
- MTH 3180 Introduction to Topology
- MTH 400T Topics in Mathematics
- MTH 4500 Independent Study
- MTH 4900 研究 in Mathematics
- MTH 4990 Senior Thesis Completion
Aaron Trautwein specializes in knot theory. Knot theory is a subfield of 拓扑结构, the area of mathematics that examines shape. In particular, he studies the physical and theoretical properties of harmonic knots and their applications. He has presented numerous talks on his research and wrote the chapter “An Introduction to Harmonic Knots” for the book 理想的结.
教授. Trautwein is also active in the scholarship of teaching mathematics. He examines the preparation of future secondary mathematics teachers and how to improve math teaching and learning techniques. He has been the principal or co-principal investigator for a number of grants from various agencies for this work. As part of an interdisciplinary team at Carthage, he was recently awarded a 1.2 million dollar National Science Foundation Noyce Grant.
“An Introduction to Harmonic Knots” in 理想的结, World Scientific Publishing, 2000.