Meet Our Instructors

Dr. Geoffrey Apel, Ph.D

Dr. Geoffrey Apel helped develop the Actuarial Science Program at Aurora University. He specializes in providing instruction for exams P, FM, and IFM. Dr. Apel received his Ph.D. from Northern Illinois University in Computational Number Theory, an MS in Pure Math from the same institution, and his BS in Mathematics from Millikin University.

Dr. Yvonne Chueh, ASA, Ph.D

Dr. Yvonne Chueh is an Actuarial Science professor at Central Washington University. She earned a Ph.D. and M.S. in Mathematics & Actuarial Science at University of Connecticut. She earned a B.S. in Pure Mathematics from National Taiwan University. She has served as an SOA council member (2013-2017) and chair (2017) of SOA Education & Research. Dr. Chueh specializes in Exams STAM and LTAM instruction.


Mr. Wu has 30 years of experience as an executive in Life, Health, Annuity and Multi-Line businesses. He was responsible for product design, pricing and launching, US GAAP/SAP Financial reporting, MCEV, Solvency II, and ORSA implementation, and ERM. He currently provides instruction on ILA track exams including Life Product Management (LPM), Life Finance and Valuation – US (LFVU), Life ALM and Modeling (LALMM), aand ERM. Mr. Wu also participates in committees for the SOA and AAA.

Dr. Darren E. Mason, Ph.D

Dr. Darren E. Mason is currently professor and chair of mathematics and computer science at Albion College in Michigan. He also holds a visiting adjunct professorship with the Actuarial Science Program at Michigan State University. Over the past four years Darren has prepared students at MSU, Albion, and Guangzhou University (China) to pass the P/1, FM/2, and IFM/3F exams. Dr. Mason received his Ph.D. and B.S. from the University of Minnesota in mathematics and mechanics.

Todd Erkis, FSA, MAAA, CERA

Todd. Erkis is a Visiting Professor at Saint Joseph’s University. Mr. Erkis teaches and mentors actuarial students at Saint Joseph’s preparing for the P, FM, and IFM exams.


Prior to joining St. Joseph’s University in 2012, Mr. Erkis was a managing director at Towers Watson with a wide range of life insurance and risk management experience.  His career experience also includes being Chief Actuary and Corporate Risk Officer for Lincoln Financial.


Mr. Erkis has been active on many American Academy of Actuaries committees and participated in developing the new principle-based reserving standards for variable annuities and life insurance products.  He was the chair of the Life Reserves Practice Note covering principle-based reserve determination. Mr. Erkis has also been a member of several Society of Actuaries exam writing and grading committees.

Dr. Daniel C. Biles, Ph.D

Dr. Daniel C. Biles received his Ph. D. in mathematics from Vanderbilt University in 1987. He has 23 years experience as a professor, and is now in the mathematics and computer science department at Belmont University. He has been training students for Actuarial Exam P/1 many years, and offers a yearly course at Belmont University for Exam P/1 preparation. He has over 25 research publications, and has recently begun publishing in stochastic calculus, a sub field of probability theory.

William P. Cross, FSA, Ph.D

William P. Cross is an instructor for all actuarial science courses offered in the math department at IUPUI. He has also designed and led lectures for SOA exams. Before this, he had a 12-year career as an actuary in property/casualty and in supplemental health. He began the pursuit of his ASA in November 1993, completing it in November 1994, scoring a 10 on each exam, He completed his FSA in 2004.

Andy C. Ngwaba, Ph.D

Andy C Ngwaba received his PhD in Economics and Masters Degree in Applied Probability and Statistics from Northern Illinois University and an additional Masters degree in Applied Mathematics and Financial Economics from Ohio University. He has worked in corporate actuarial, performing retirement plans pricing and profitability analysis. Dr. Ngwaba specializes in helping students prepare for Exams P, FM, and IFM. Students and colleagues have described him as very knowledgeable, enthusiastic, and always willing to assist.

Joseph Perlman, FSA

Joseph Perlman is an Assistant Professor of Mathematics at Lander College, the honors division of Touro College. He has taught courses in pure mathematics, statistics and probability, bond mathematics and option pricing theory, and actuarial courses preparing students for the Society of Actuaries exams. In addition to teaching actuarial courses for the preliminary exams, he has also previously prepared students for examinations for the Fellowship of the Institute of Actuaries. Professor Perlman has also earned an MBA in Finance from the prestigious Master’s Program at Columbia University.

Jim Daniel, ASA, D. Sc., Ph.D.

Jim Daniel has been teaching exam-prep seminars for LTAM since 1994 and STAM since 2000. He taught actuarial math classes and was Director of Actuarial Studies at the University of Texas at Austin from 1989 until his retirement in 2010 where he won teaching awards and was elected to its Academy of Distinguished Teachers.


Jim received a B.A. and honorary D. Sc. from Wabash College and an M.A. and Ph.D. in Mathematics from Stanford University. He taught Computer Science and Mathematics at the University of Wisconsin-Madison prior to his tenure at UT-Austin, where he served as Professor of Computer Science, Education, and Mathematics, and for six years as Chair of the Department of Mathematics.