Miyuran D.
PhD Mathematician
I am Dr. Miuran Dencil, a professional mathematician currently working as an assistant professor. I earned my master’s and doctoral degrees in mathematics in 2016 and 2020 from Texas Tech University, Texas, USA. While in college, I won very prestigious Presidential Graduate Fellowship for 5 years, which is offered to very best graduate student in the school. I was invited speaker for many recognized conferences and won many grants for my research. My dissertation research was Geometric Properties of Special Functions and Related Quadratic Differentials. My research interests include Partial Differential Equations and Number Theory. I graduated from University of Kelaniya, Sri Lanka in 2011 with Bachelor's Degree, which is special degree in mathematics with first class honors.
Teaching is my passion and calling! on top of that mathematics is fun and interactive! I started to teach mathematics at very young age. I have over 16 years of teaching experiences and taught mathematics to kindergarten through senior high school students, college level and graduate level classes.
Once I graduated from my bachelor’s degree, I worked as an instructor at University of Kelaniya from 2011-2013, then worked as a lecturer at university of moratuwa from 2013-2015. Then I started my graduate studies at Texas Tech University while working as GPTI/ Research assistant 2015-2020.
I have taught: Calculus I, II, III + Pre-Cal, AP Cal AB/ AP Cal BC, Trigonometry, Linear Algebra, Geometry, ODE/PDE, Algebra 1,2, Numerical Methods, Real/ Advanced Analysis, Complex Numbers, Discrete Mathematics, Group Theory/ Ring Theory/Number Theory, Integration/ Laplace equations/ Fourier Series- Transformation, Grade Mathematics, Mechanics/ Motion of a particle/ Force- equilibrium/ Harmonic motion, Trainer for exams such as SAT, GRE math sections.
Over 16 years of my teaching experiences and long academic life I have found techniques which helped me to understand and solve any given problem faster and accurate. Now I am ready to teach them to you as I believe nothing is too challenging as long as the student is willing to learn.
As a mathematics is interactive and fun subject it allow students to get extra practice and provide personalized learning atmosphere for students to sharpened their analytical thinking and problem solving technique.
Courses by Miyuran
- FREE
Miyuran D.
21m
Calculus 1 - Numerical Integration
- FREE
Miyuran D.
12m
Calculus 1 - Mean Value Theorem for Integral
- FREE
Miyuran D.
38m
Calculus 1 - Substitution
- FREE
Miyuran D.
9m
Calculus 1 - Fundamental Theorems of Calculus
- FREE
Miyuran D.
14m
Calculus 1 - Definite Integral
- FREE
Miyuran D.
28m
Calculus 1 - Area as the Limit of a Sum
- FREE
Miyuran D.
24m
Calculus 1 - Antidifferentiation
- FREE
Miyuran D.
21m
Calculus 1 - Optimization
- FREE
Miyuran D.
34m
Calculus 1 - L’ Hopital’s Rule
- FREE
Miyuran D.
25m
Calculus 1 - Limits Involving Infinity
- FREE
Miyuran D.
34m
Calculus 1 - Graph of Function
- FREE
Miyuran D.
17m
Calculus 1 - Mean Value Theorem
- FREE
Miyuran D.
22m
Calculus 1 - Extreme Values of Continuous Functions
- FREE
Miyuran D.
28m
Calculus 1 - Linear Approximation
- FREE
Miyuran D.
15m
Calculus 1 - Related Rates
- FREE
Miyuran D.
30m
Calculus 1 - Implicit Differentiation
- FREE
Miyuran D.
35m
Calculus 1 - Chain Rule
- FREE
Miyuran D.
21m
Calculus 1 - Applications of Derivatives in Physics
- FREE
Miyuran D.
15m
Calculus 1 - Trig Rules
- FREE
Miyuran D.
22m
Calculus 1, Chapter 3: Part 2 - Techniques of Differentiation
- FREE
Miyuran D.
52m
Calculus 1 - Derivatives
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Miyuran D.
17m
Calculus 1 - Exponential and Logarithmic Function
- FREE
Miyuran D.
25m
Calculus 1 - Continuity
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Miyuran D.
28m
Calculus 1 - Algebraic Computation of Limits
- FREE
Miyuran D.
17m
Calculus 1 - Limit of a Function
- FREE
Miyuran D.
31m
Calculus 1 - Inverse Functions
- FREE
Miyuran D.
22m
Calculus 1 - Functions and Graphs
- FREE
Miyuran D.
8m
Calculus 1 - Lines in the Plane
- FREE
Miyuran D.
43m
Calculus 1 - Preliminaries
- FREE
Miyuran D.
21m
Calculus 1 - Related Algebra
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Miyuran D.
29m
Calculus 2 - Vector Calculus
- FREE
Miyuran D.
52m
Calculus 2, Chapter 3: Part 9 - Review
Miyuran D.
36m
Taylor Series, Calculus 2, Chapter 3: Part 8
Miyuran D.
23m
Power Series, Calculus 2, Chapter 3: Part 7
Miyuran D.
23m
Alternating Series Test, Calculus 2, Chapter 3: Part 6
Miyuran D.
19m
Calculus 2, Chapter 3: Part 5 - Ratio and Root Test
Miyuran D.
22m
Limit Comparison Test - Calculus 2, Chapter 3: Part 4
Miyuran D.
37m
Calculus 2, Chapter 3: Part 3 - Divergence Test and Integral Test
Miyuran D.
27m
Geometric Series, Calculus 2, Chapter 3: Part 2
Miyuran D.
53m
Calculus 2, Chapter 3: Part 1 - Sequences
Miyuran D.
1h 13m
Calculus 2, Chapter 2: Part 7 - Review
Miyuran D.
15m
Calculus 2, Chapter 2: Part 6 - Hyperbolic Trigonometry
Miyuran D.
25m
Calculus 2, Chapter 2: Part 5- Improper Integral
Miyuran D.
56m
Calculus 2, Chapter 2: Part 4 - Partial Fraction
Miyuran D.
1h 16m
Calculus 2, Chapter 2: Part 3 - Trigonometric Method
Miyuran D.
28m
Calculus 2, Chapter 2: Part 2- Integration by Parts
Miyuran D.
26m
Calculus 2, Chapter 1: Part 7 - Moments and Center of Mass
Miyuran D.
9m
Calculus 2, Chapter 2: Part 1- Evaluating Using Substitution
Miyuran D.
27m
Calculus 2, Chapter 1: Part 6 - Hydrostatic Force
Miyuran D.
50m
Calculus 2, Chapter 1: Part 5 - Work and Hydrostatic Force
Miyuran D.
24m
Calculus 2, Chapter 1: Part 4 - Arc Length
Miyuran D.
52m
Calculus 2, Chapter 1: Part 3 - Polar Forms and Area
- FREE
Miyuran D.
47m
Calculus 2, Chapter 1: Part 2 - Volumes
- FREE
Miyuran D.
22m
Calculus 2, Chapter 1: Part 1 - Area between Two Curves