CB Profile - Mathematics & Statistics

Miroslav Lovric

$Profile Photo$

Contact Info

Title:

Professor

Office:

HH 411

Phone:

(905) 525 9140 ext. 27362

Fax:

(905) 522-0935

Email:

...

Website:

http://www.math.mcmaster.ca/lovric/lovric.html

Research

Research Area: Geometry & Topology, Mathematics Education

Research Profile: Differential Geometry, Applications, and Mathematics Education
My research dealt with some aspects of the curvature of a Riemannian manifold, in particular the way various curvature assumptions influence the topological properties (pinching theorems). I had also employed the tools of Riemannian geometry (especially foliations on Riemannian manifolds) in order to study the properties of orbits of vector fields coming from various control theory problems. In collaboration with Ernst Ruh and Maung Min-Oo, I obtained new parametrization of the space of multivariate normal distributions (and a new distance formula). My new research directions consist of applying math to problems in medicine and biology (in collaboration with colleagues and grad students from Health Sciences), and also mathematics education. Besides investigating my own teaching practice, I have been studying transition from secondary to tertiary mathematics, as well as the ways mathematics textbooks promote learning of mathematics.

Research Interests:

Differential geometry & applications, Topology, Mathematics Education

Courses

2017/2018
Math 1C03
Math 1LS3
Math 2C03
Math 2UU3
Math 3Z03

2016/2017
Math 1C03
Math 1LS3
Math 2C03
Math 3G03
Math 3Z03
Math 4W03

Winter 2015
On research leave

Fall 2014
Math 1LS3
Math 1X03
Math 3G03

2013/2014
M1C03 Winter Term, 2014
M1LS3(C02) Fall Term, 2013
M1LT3(C01) Winter Term, 2014
M1X03 Fall Term, 2013
M3G03 Winter Term, 2014

Publications

Marc Colangelo, Miroslav Lovric, Johathan R. Stone. A Mathematical and Computational Model for Simulating Complex Dynamic Cancer Growth and Metastasis. I. J. Comput. Appl. 19(3):145-153 (2012).

Marc Colangelo, Miroslav Lovric, et. Al. Modelling of House Dust Mite-Induced Chronic Airway Eosinophilia” to appear in Biology Direct.

Miroslav Lovric. Learning Mathematics In An Interdisciplinary Science Program. Proceedings of the 12th International Congress on Mathematical Education, COEX, Seoul, Korea, 2012, pp 1331-1340.

Miroslav Lovric. Collaboration Between Research in Mathematics Education and Teaching Mathematics: Case Study of Teaching Infinity in Calculus. Proceedings of the CMESG (= Canadian Mathematics Education Study Group) Meeting, Quebec City, 2012.

Ann Kajander, Miroslav Lovric. Mathematics Textbooks And Their Potential Role In Supporting Misconceptions. The Best Writing on Mathematics 2010, Princeton University Press, 2010.

Megan Clark, Miroslav Lovric. Suggestion for a Theoretical Model for the Secondary-Tertiary Transition in Mathematics, Mathematics Education Research Journal, Vol. 20, No. 2, 2008, pp 25-37.

Laura Fenwick-Sehl, Marcella Fioroni, Miroslav Lovric. Recruitment and retention of mathematics students in Canadian universities. International Journal of Mathematical Education in Science and Technology, Volume 40, Issue 1, 2009, pages 27-41.

Textbooks:
Calculus for Life Sciences: Modeling the Dynamics of Life, (with F. Adler), Nelson 2011 (676 pages); new edition coming out in 2014.

Probability and Statistics for the Life Sciences, Nelson 2011 (195 pages).

Functions of Several Variables for the Life Sciences, Nelson 2011 (144 pages).

Linear Algebra for the Life Sciences Nelson, 2011 (138 pages).

Vector Calculus, John Wiley and Sons, 2007 (623 pages).

Grad Students

Current Supervising:
Myles Marin (MSc Math)