B.Sc., M.Sc., PhD
Instructor, Mathematics & Statistics
School of STEM
Mathematics & Statistics
Faculty of Arts and Sciences
604.986.1911 ext. 2205
Fir Building, room FR488
PhD, Applied Mathematics, University of Western Ontario, 2006.
M.Sc., Electrical Engineering (Control System), K. N. Toosi University of Technology, 2001.
B.Sc., Electrical Engineering (Control System), University of Tehran, 1997.
Amirhossein Amiraslani (PhD, University of Western Ontario, 2006) is a mathematics faculty member in the School of STEM at Capilano University. He joined Capilano University in August 2019. Prior to that, he was a mathematics faculty member at the University of Hawaii-Maui College from August 2011 to July 2019 and a mathematics faculty member at Shepherd University from August 2009 to July 2011. He is also an adjunct mathematics faculty member at K. N. Toosi University of Technology where he co-advises graduate mathematics students.
Amiraslani's B.Sc. and M.Sc. are both in Electrical Engineering (Control Systems). He completed a PhD program in Applied Mathematics in 2006. His advisor was Dr. Rob Corless. He was a post-doctoral fellow at the University of Calgary under Dr. Peter Lancaster's supervision between 2006 and 2009.
His main research interests are in matrix polynomials and operational matrices. In particular, he is interested in direct differentiation and integration operators and their applications in degree-graded polynomial bases (e.g., orthogonal bases, Newton basis, etc.) as well as non-degree-graded polynomial bases (e.g., Lagrange basis and Bernstein basis).
Amiraslani was the industrial coordinator of Pacific Institute for the Mathematical Sciences (PIMS) from 2007 to 2009. In that role, he helped organize PIMS' Graduate Industrial Math Modeling Camp (GIMMC) and Industrial Problem-Solving Workshop (IPSW) in 2008 and 2009.
In 2017, Amiraslani and his colleagues at the University of Hawaii-Maui College received a $1.2M NSF grant to implement the idea of problem-based learning (PBL). He is hoping to develop and implement a similar program at Capilano University.
My teaching philosophy mainly revolves around student-centered learning. Some important aspects of my teaching philosophy are listed below. Those aspects highlight what I have learned and/or found important so far about teaching in general and teaching mathematics in particular.
- Always ask and try to answer: "What is the big picture?"
- Let's promote practice, perseverance and writing in math.
- A little bit of flexibility and accommodation goes a long way.
- Realistic and to-the-point assessment is important.
- Getting feedback from students and colleagues is vital.
Research interests in mathematics:
- Symbolic and numeric linear algebra
- Matrix analysis
- Differentiation and integration operators in various bases
- Differential equations
- Control theory
Research interests in teaching:
- Problem-based learning (PBL)
- Methods for training mathematically gifted and talented students
Publications (until the end of 2020)
Koohestani M., Rahnamai Barghi A., and Amiraslani A., The application of tridiagonal matrices in P-polynomial table algebras, Iranian Journal of Science and Technology, Transactions A: Science, https://doi.org/10.1007/s40995-020-00924-1, 2020.
Olia F., Ghalandarzadeh S., Amiraslani A., and Jamshidvand S., Solving linear systems over idempotent semifields through LU-factorization, Rendiconti del Circolo Matematico di Palermo, https://doi.org/10.1007/s12215-020-00529-y, 2020.
Olia F., Ghalandarzadeh S., Amiraslani A., and Jamshidvand S., Solving linear systems over tropical semirings through normalization method and its applications, Journal of Algebra and Its Applications, https://doi.org/10.1142/S0219498821501590, 2020.
Olia F., Ghalandarzadeh S., Amiraslani A., and Jamshidvand S., Analysis of linear systems over idempotent semifields, Mathematical Sciences, https://doi.org/10.1007/s40096-020-00324-x, 2020.
Jamshidvand S., Ghalandarzadeh S., Amiraslani A., and Olia F., On the maximal solution of a linear system over tropical semirings, Mathematical Sciences, https://doi.org/10.1007/s40096-020-00325-w, 2020.
Bodaghi S., Zakeri A., and Amiraslani A., A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem, Inverse Problems in Science and Engineering, https://doi.org/10.1080/17415977.2020.1733996, 2020.
Bodaghi S., Zakeri A., and Amiraslani A., Regularization of a nonlinear inverse problem by discrete mollification method, Computational Methods for Differential Equations, DOI: 10.22034/cmde.2020.30808.1461, 2020.
Amiraslani A., Corless M., and Gunasingam M., Differentiation matrices for univariate polynomials, Numerical Algorithms, 83: 1- 31, 2019.
Amiraslani A., Bonnin, M., Hokoana, L., and Nariman, N., On problem-based learning in science, technology, engineering, and mathematics, 'Proceedings of the 5th Iran International Conference on Engineering Education', K. N. Toosi University of Technology, November 21-23, 2017.
Amiraslani, A., Fassbender, H., and Shayanfar, N., Birkhoff polynomial basis, 'Applied and Computational Matrix Analysis' in the Springer series 'Springer Proceedings in Mathematics and Statistics', 192: 1-25, 2017.
Amiraslani, A., Differentiation matrices in polynomial bases, Mathematical Sciences, 10(1): 47- 53, 2016.
Shayanfar N., Hadizadeh M., and Amiraslani A., Integral operators acting on variables of the matrix polynomials: Application to system of integral equations, Funct. Anal. (AFA), 3(2): 170- 182, 2012
Amiraslani A., Notes on Linear Factor Polynomial Deflation in Polynomial Bases, Linear and Multilinear Algebra, 59(12): 1419- 1431, 2011.
Amiraslani A., The Equivalence of the Constrained Rayleigh Quotient and Newton Methods for Matrix Polynomials Expressed in Different Polynomial Bases Along with the Confluent Case, International Journal of Computer Mathematics, 88(6): 1158-1180, 2011.
Amiraslani A., Lancaster P., The Rayleigh Quotient Algorithms for Non-Symmetric Matrix Pencils, Numerical Algorithms, 51: 5-22, 2009.
Amiraslani A., Corless M., and Lancaster P., Linearization of Matrix Polynomials Expressed in Polynomial Bases, IMA Journal of Numerical Analysis, 29: 141-157,2009.
Corless R. M., Rezvani N., and Amiraslani A., Pseudospectra of Matrix Polynomials that Are Expressed in Alternative Bases, Mathematics in Computer Science, 1: 353-374,2007.
Amiraslani A., Aruliah D., and Corless R. M., Block LU Factors of Generalized Companion Matrix Pencils, Theoretical Computer Science, 381(1-3): 134-147, 2007.
Amiraslani A., Dividing Polynomials When You Only Know Their Values. Proceedings EACA, Spain, 5-10, 2004.
Amiraslani A., Corless R. M.,Gonzalez-Vega L., Shakoori A., Polynomial Algebra by Values, Ontario Research Centre for Computer Algebra, TR-04-01, 2004.
Hadizadeh M., and Amiraslani A., Numerical Computation of the Nonlinear Feedback Operators for the Nonquadratic Time-Variant Optimal Control Problem. Applied Mathematics and Computation. 144(1): 159-168, 2003.
Courses Recently Taught (2015 to 2021)
Capilano University (2019- Present):
MATH 097: Intermediate Algebra
MATH 105: Precalculus
MATH 108: Calculus I for Business and Life Sciences
MATH 116: Calculus I
The University of Hawaii-Maui College (2015-2019):
MATH 103: College Algebra
MATH 115: Statistics
MATH 119: Engineering Precalculus (Designed and taught)
MATH 140: Trigonometry and Analytic Geometry
MATH 205: Calculus I
MATH 206: Calculus II
MATH 219: Calculus for Engineering Technology
MATH 231: Calculus III
MATH 232: Calculus IV
MATH 390V: Advanced Problem Solving in Mathematics (I and II) (Designed and taught)
SCI 214: Problem-based Learning in STEM (Designed and taught)
EE 211: Basic Circuit Analysis I
ETRO 360: Signals and Systems
ETRO 450: Signal Processing
ETRO 470: Introduction to Communication Systems
K. N. Toosi University of Technology (2017):
Advanced Engineering Mathematics (PhD) for Mechanical Engineering
Co-advised Graduate Theses
Dr. Nikta Shayanfar, K. N. Toosi University of Technology, Ph.D. Thesis Co-Advisor with Dr. Mahmoud Hadizadeh: On the Generalization of the Canonical Forms of Matrix Polynomials for the Solution of Systems of Operator Equations: Theoretical and Numerical Aspects. 2012.
Ramin Mousavi, K. N. Toosi University of Technology, M.Sc. Thesis Co-Advisor with Dr. Ali Zakeri: Implementation of Matrix Partial Differential Operators for Multivariate Polynomial Bases. 2019.
Fahimeh Rezaei, K. N. Toosi University of Technology, M.Sc. Thesis Co-Advisor with Dr. Mahmoud Hadizadeh: Operational Integration Matrices in Polynomial Bases- Numerical Viewpoint, 2019.
Leila Nasrizadeh, K. N. Toosi University of Technology, M.Sc. Thesis Co-Advisor with Dr. Mahmoud Hadizadeh: Chelyshkov Orthogonal Polynomial Basis and Its Applications, 2019.
Masoumeh Mirzayi, K. N. Toosi University of Technology, M.Sc. Thesis Co-Advisor with Dr. Mahmoud Hadizadeh: The Vector-Matrix Analysis of the Birkhoff Polynomial Basis, 2019.
Dr. Fateme Olia, K. N. Toosi University of Technology, PhD. Thesis Co-Advisor with Dr. Shaban Ghalandarzadeh: Semirings and Linear Algebra over Semirings, 2020.
Fatemeh Ebrahimi, K. N. Toosi University of Technology, M.Sc. Thesis Co-Advisor with Dr. Mahmoud Hadizadeh: Fractional Polynomials and Fractional Differentiation Operators, 2020.
Dr. Sedighe Jamshidvand, K. N. Toosi University of Technology, PhD. Thesis Co-Advisor with Dr. Shaban Ghalandarzadeh: Semirings and Their Applications in Linear Algebra, 2020.
Behnaz Sadr, University of Alzahra, M.Sc. Thesis Co-Advisor with Dr. Taraneh Tajvidi: A New Optimization Model in Crisis Management, 2020.
Dr. Soheila Bodaghi, K. N. Toosi University of Technology, PhD. Thesis Co-Advisor with Dr. Ali Zakeri: Appropriate Numerical Methods for Ill-posed Parabolic Partial Differential Equations Based on Mollification Method, 2020.
CARS Unified # 2 Grant: CapU problem-based learning – Phase 1, 2020.
Co-Principal Investigator: "Examining the Impact of an Industry-aligned, STEM Problem Based Learning Curriculum on Native Hawaiian and Underrepresented Youth Workforce Development" (aka Project STEMulate), National Science Foundation (NSF)- Innovative Technology Experiences for Students & Teachers (ITEST): Award #1657625, 2017.
Principal Investigator: Project Heluna: A program for mathematically talented students of Maui at the University of Hawaii-Maui College, 2015-16.
Principal Investigator: Math Coaching Professional Development Program at he University of Hawaii-Maui College, 2013-14.