My desire to motivate the concepts I teach manifests itself in my lectures, especially when I am introducing something new. Before introducing any relevant theory or techniques, I ensure that the students are made aware of the historical context surrounding the subject at hand. By doing this, the class can see specific examples of the problem(s) people were working on at that time, as well as why they were interested in their solution. In this way, I find that the utility of solving problems discussed in class is more obvious to students, and the discussed methods of solution appear more natural. I also attempt to describe where such mathematics is still in use today, drawing from my own knowledge of engineering and the natural sciences to give concrete examples.When I stand in front of a class, I make sure that everybody gets my attention. I always start from the basics and make sure everybody on the same page before I continue on to more advanced material. While adhering to my syllabus, I still want my students to be able to connect with what I am teaching them.I believe interaction with students is a really important aspect of teaching. Asking questions and assessing them through regular exams are very useful because I get good feedback about their level of understanding before I move forward. I like to give three-minute, short problems from my previous lecture before I start the next class, which ensures that students read their class materials regularly and which makes it easy for us to continue to new material. I also encourage them to ask any questions during the class period and meet me during my office hours for further help.Recapping highlights of my last class is really important for students to connect to new material. Then my style of teaching is to work many concrete examples and teach problem solving techniques during the class.I strongly believe that this improves their understanding about what each theory means. Also drawing picture if possible, is always a good and easy way to explain certain topics, for example in mechanics, vector analysis or geometry.
PhD Student in mathematics. Already having a master Degree in mathematics. I have my bachelors degree in mathematics. I have been teaching mathematics for more than 12 years. I've taught Hight school, Junior and Elementary level maths too. I am a trainer for exams such as GRE/ SAT and other math related exams for college entry
Texas Tech UniversityLubbock, TX Ph.D. in Mathematics . Aug. 2015 - Present
Dissertation: Geometric properties of Special Functions and extremal metrics
Texas Tech UniversityLubbock, TX . MSc in Mathematics . Dec. 2016
University of KelaniyaKelaniya, Sri Lanka . BSc Special Degree in Mathematics
First Class Honors . Dec. 2011
My main research interests are in real and complex analysis. More specifically, I am interested in special functions such as Weierstrass℘and hypergeometric function and their applications. Univalent functions, orthogonal polynomials and typically real functions are further areas of interest.My other research interests are in analytical number theory, geometric properties of mappings , quadratic differentials, symmetrization techniques, elliptic functions, topology, algebraic geometry, ODE/PDE theory, harmonic functions, theory of extremal metrics, riemannian geometry, and complex manifold theory.
Texas Tech University, Department of Mathematics and StatisticsJan 2016 - May 2016Student AssistantLubbock, TX
•Assisted students with understanding Cal I, II, III
•Helped students by providing examples and enabling them to improve their grades
University of Moratuwa, Department of Mathematics . Mar 2013 - Aug 2015
LecturerMoratuwa, Sri Lanka
•Mentored 13 first year students each year
•Planned Lectures•Assessed students’ work
•Encouraged personal development via tutorial or advisement and invigilated examinations
•Wrote research proposals, papers and other publications
•Managed research budget
•Presented at conferences and seminars
•Attended staff meetings and general administration meetings
Classes Taught:Linear Algebra, Complex Analysis, Vector Analysis, Abstract Mathematics
Open University of Sri Lanka, Faculty of Engineering . Nov 2013 - Aug 2015
Visiting Lecturer Nugegoda, Sri Lanka
•Lecture planning, preparation, research, contacted and taught students
•Checked and assessed student’s work
•Encouraged personal development via tutorial or pastoral work and invigilated examinations.
Classes Taught:Engineering Mathematics, Combined Mathematics
University of Kelaniya, Department of MathematicsDec 2011 - Mar 2013 Temporary Tutor
Kelaniya, Sri Lanka
•Planned tutorial class, preparation, research, contacted and taught students
•Checked and assessed students’ work
•Encouraged personal development via tutorial or pastoral work and invigilated examinations
Conducted Tutorial classes:Geometry, Vector Analysis, Fluid Dynamics
Staff Development Program, University of Kelaniya
Jul 2013 - Sep 2013 .
University Lecturer Trainee Kelaniya, Sri Lanka
Trained in: Orientation as a University Teacher, Personal Development and Counseling, Teaching andLearning Methods, Assessment and Evaluation, ICT skills in Higher Education, Research in HigherEducation, University Administrative Procedures, Strategic Planning and Management for Universities
Private Tutoring Conducted private tutoring classes for Ed-Excel and local high school mathematics students for more than 10 years:
Trigonometry, Differentiation, Integration, Complex Numbers, Mechanics, HarmonicMotions, Relative Motions, Permutations and Combinations Circular Motions, Geometry of StraightLine and Circles, Conic Sections, Probability and Statistics
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