# 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

Miyuran D.

21m

### Calculus 1, Chapter 5: Part 7 - Numerical Integration

Miyuran D.

12m

### Calculus 1, Chapter 5: Part 6 - Mean Value Theorem for Integral

Miyuran D.

38m

### Calculus 1, Chapter 5: Part 5 - Substitution

Miyuran D.

9m

### Calculus 1, Chapter 5: Part 4 - Fundamental Theorems of Calculus

Miyuran D.

14m

### Calculus 1, Chapter 5: Part 3 - Definite Integral

Miyuran D.

28m

### Calculus 1, Chapter 5: Part 2 - Area as the Limit of a Sum

Miyuran D.

24m

### Calculus 1, Chapter 5: Part 1 - Antidifferentiation

Miyuran D.

21m

### Calculus 1, Chapter 4: Part 6 - Optimization

Miyuran D.

34m

### Calculus 1, Chapter 4: Part 5 - L’ Hopital’s Rule

Miyuran D.

25m

### Calculus 1, Chapter 4: Part 4 - Limits Involving Infinity

Miyuran D.

34m

### Calculus 1, Chapter 4: Part 3 - Graph of Function

Miyuran D.

17m

### Calculus 1, Chapter 4: Part 2 - Mean Value Theorem

Miyuran D.

22m

### Calculus 1, Chapter 4: Part 1 - Extreme Values of Continuous Functions

Miyuran D.

28m

### Calculus 1, Chapter 3: Part 8 - Linear Approximation

Miyuran D.

15m

### Calculus 1, Chapter 3: Part 7 - Related Rates

Miyuran D.

30m

### Calculus 1, Chapter 3: Part 6 - Implicit Differentiation

Miyuran D.

35m

### Calculus 1, Chapter 3: Part 5 - Chain Rule

Miyuran D.

21m

### Calculus 1, Chapter 3: Part 4 - Applications of Derivatives in Physics

Miyuran D.

15m

### Calculus 1, Chapter 3: Part 3 - Trig Rules

Miyuran D.

22m

### Calculus 1, Chapter 3: Part 2 - Techniques of Differentiation

Miyuran D.

52m

### Calculus 1, Chapter 3: Part 1 - Derivatives

Miyuran D.

17m

### Calculus 1, Chapter 2: Part 4 - Exponential and Logarithmic Function

Miyuran D.

25m

### Calculus 1, Chapter 2: Part 3 - Continuity

Miyuran D.

28m

### Calculus 1, Chapter 2: Part 2 - Algebraic Computation of Limits

Miyuran D.

17m

### Calculus 1, Chapter 2: Part 1- Limit of a Function

Miyuran D.

31m

### Calculus 1, Chapter 1: Part 5- Inverse Functions

Miyuran D.

22m

### Calculus 1, Chapter 1: Part 4 - Functions and Graphs

Miyuran D.

8m

### Calculus 1, Chapter 1: Part 3 - Lines in the Plane

Miyuran D.

43m

### Calculus 1, Chapter 1: Part 2 - Preliminaries

Miyuran D.

21m

### Calculus 1, Chapter 1: Part 1 - Related Algebra

Miyuran D.

29m

### Calculus 2, Chapter 4 - Vector Calculus

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