# 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

- FREE
Miyuran D.

17m

### Calculus 1 - Exponential and Logarithmic Function

- FREE
Miyuran D.

25m

### Calculus 1 - Continuity

- FREE
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

- FREE
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