Harrison Kmiec
Private Mathematics Tutor for all grades and skill levels. The goal is to promote consistent improvement and fun in the mathematical journey!
Loading...
Show all photos
Harrison Kmiec
Bachelors degree
/ 55 min
Harrison - Know your tutor
My name is Harrison Kmiec, and I am a private mathematics tutor situated in Chapel Hill, North Carolina. Regarding my educational background, I have a Bachelor's degree from UNC-Chapel Hill and majored in Mathematics, as well as Statistics and Analytics. I have been doing private mathematics tutoring for 3 years, and have tutored from elementary school all the way up to the undergraduate college level. Subjects within math that I tutor for include Algebra, Geometry, Calculus, and Probability. My style of tutoring/teaching focuses on using simple examples to build up the muscle memory for concepts and formulas, then using more complex examples to strengthen the students' flexibility on those very topics. My goal is to create a collaborative environment for math that communicates how fun math can be as a subject dedicated to problem-solving.
Harrison graduated from University of North Carolina at Chapel Hill
Specialities of your tutor
Advanced Placement (AP) Program (USA)
Problem Solving
Homework help
Common Core State Standards - CCSS (USA)
Mental Math
Practice Drills
Student types for classes
Learning Disabilities
High School students
ASD
Middle School students
Anxiety or Stress Disorders
Elementary School students
Home schooled
ADHD
College students
Class overview
My tutoring/teaching style focuses on addressing weak spots in students' fundamental understanding of the math they are learning in their courses, and keeping the students engaged once they have demonstrated a solid understanding of the current math concepts they are working on. I use simple examples to identify where a student does not fully grasp certain mathematical ideas, as well as to help them hone the missing skills to a comfortable level. Then, once the student shows consistency with the topics they are working on, I use complex examples to keep them engaged with the problem-solving aspect of math. My belief is that there is no need to "gamify" math because math is inherently very similar to a game. Math is akin to a puzzle or any activity where there is a defined end goal and you are given a base set of information to work with. After working with a lot of students over the years, I find that students naturally discover the fun in math as long as someone is there to ease the frustrating parts.
Harrison also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
.svg){kind=icon}
15 days Refund
.svg){kind=icon}
Free Tutor Swap
Mathematics concepts taught by Harrison
The student and tutor reviewed the concepts of Taylor and Maclaurin series, focusing on constructing Taylor polynomials for various functions and estimating function values. They practiced calculating derivatives and applying the Taylor series formula for different center points and polynomial degrees. Future sessions were planned to cover binomial series and review for upcoming exams.
Taylor Series Expansion
Maclaurin Series
Approximation using Taylor Polynomials
Power Series Representation
The Tutor and Student worked on differentiating and integrating power series and determining their intervals of convergence. They practiced applying these techniques to various functions and discussed methods for finding the constant of integration and checking interval endpoints.
Power Series Differentiation
Power Series Integration
Interval of Convergence
Handling Constants in Power Series Operations
The student and tutor worked through problems related to power series, geometric series, and the radius and interval of convergence. The student practiced transforming functions into power series and applying convergence tests, with a plan to further review geometric series setup in the next session.
Power Series Basics
Transforming Functions into Power Series
Radius and Interval of Convergence
Geometric Series as a foundation
The Tutor and Student worked through a series of two-step algebraic equations and word problems, practicing the process of isolating variables using inverse operations. They reviewed concepts like handling fractions and negative numbers in equations, and then applied these skills to set up and solve word-based algebraic problems.
Translating Word Problems into Equations
Working with Negative Numbers in Equations
Eliminating Fractions in Equations
Solving Two-Step Equations
Understanding Inverse Operations and Properties
The Student and Tutor practiced applying the Ratio Test and Root Test to determine the convergence of various infinite series, including those with factorial and power terms. They also touched upon the Divergence Test and Comparison Test, and discussed the behavior of series involving trigonometric functions, with a plan to continue practice in the next session.
Ratio Test for Series Convergence
Root Test for Series Convergence
Alternating Series Test
Divergence Test (nth Term Test)
The Student and Tutor worked through practice problems related to convergence tests for series, including the Limit Comparison Test, Direct Comparison Test, P-series test, and Alternating Series Test. They also began exploring the Ratio and Root Tests, with plans to practice these further.
Alternating Series Test
Root Test
Ratio Test
P-Series Test
Limit Comparison Test
Teaching tools used by tutor
Visualization & Exploration
Lesson Planning Tools
Graphing Tools
Practice worksheets
Digital whiteboard
Interactive lessons
Weekend lessons
Open Q&A
Parent feedback
Math tutors on Wiingy are vetted for quality
Every tutor is interviewed and selected for subject expertise and teaching skill.