Dr. Richard Mikula
Assistant Professor - Mathematics Department
Lock Haven University

Office: Robinson 422 Phone: (570) 484-2272 Email: rmikula@lhup.edu

Teaching Related Materials:

Spring 2010:

Statistics: Math 107-03,04

Syllabus: Math 107-03 Syllabus, Spring 2010,
Math 107-04 Syllabus, Spring 2010

Lecture Notes: m107s10slide1.pdf, m107s10slide2.pdf, m107s10slide3.pdf
m107s10slide4.pdf, m107s10slide5.pdf, m107s10slide6.pdf

Sample Exams: m107s10se1.pdf, m107s10se2.pdf, Math 107 Sample Exam 2 Solutions,
Sample Final Exam: m107s10sf.pdf, m107fesol

In Class Activities, Examples and Assignments:
Excel Assignment on Descriptive Statistics,
Excel Project on Least Squares Linear Regression

In Class Activity on Descriptive Statistics
Solution to In Class Activity on Descriptive Statistics- Frequency Histogram
In Class Activity on Descriptive Statistics -- Standard Deviation
In Class Activity - Percentiles and Outliers
In Class Activity for Expected Values
In Class Activity for E(X) and sd(X)
In Class Activity - Linear Regression
In class activity for math 107- Linear Regression.- 4/7/2010
In Class Activity - Chi Sq. Test for Independence

Potholes Vrs. Frequency Histogram
Test Score vrs. Frequency Histogram
Test Scores Example -- Outliers and Percentiles
Percentiles and Outliers Example with Excel Commands
Percentiles and Outliers Example with Calculations Done by Hand
Linear Regression Example Using Excel Commands
Linear Regression Example with Calculations Done by Hand
Smoking vrs Lung Damage Example -- Line of Best Fit

Pre-Calculus: Math 113-02

Syllabus: Math 113-02 Syllabus, Spring 2010

Lecture Notes: m113s10slide1.pdf, m113s10slide2.pdf, m113s10slide3.pdf,
m113s10slide4.pdf, Unit Circle Picture, math 113 trig functions graphs

Materials to Go with the 1st Set of Lecture Notes:
Example of Several Graphs of Functions
Graph of Piecewise Defined Function g(x)
Translating Graph in Vertical and Horizontal Direction
Stretching and Compressing Graphs
Reflecting Graphs about Coordinate Axes
f(x) and its inverse graphed together

Sample Exams: Math 113 Sample Exam 1, Math 113 sample exam 1 solutions,
Sample exam 2: m113s10se2.pdf, math 113 se2 solution.
Sample Final Exam: math 113 sample final exam.
math113 sample final key

Foundations of Mathematics: Math 205-01

Syllabus: Math 205-01 Syllabus, Spring 2010

Lecture Notes: m205s10slide1.pdf, m205s10slide2.pdf, m205s10slide3.pdf

HW Solutions: MATH 205 HW solutions from material for 1st exam,
MATH 205 HW Set 7 Solutions, MATH 205 hw Solutions - Set Theory and Induction,
Math 205 HW Set 10 Solutions

Previous Semesters Course Lecture Notes:
Math 102: m102f09slide1.pdf, m102f09slide2.pdf, m102f09slide3.pdf,
m102f09slide4.pdf, m102f09slide5.pdf, m102f09slide5.pdf
Math 112: m112slide1.pdf, m112slide2.pdf, m112slide3.pdf,
m112slide4.pdf, m112slide5.pdf
Math 141: m141f08slide1.pdf, m141f08slide2.pdf, m141f08slide3.pdf,
m141f08slide4.pdf, m141f08slide5.pdf
Math 243: m243f09slide1.pdf, m243f09slide2.pdf, m243f09slide3.pdf,
m243f09slide4.pdf
Math 310: m310slide1.pdf, m310slide2.pdf
Math 311: m311slide1.pdf, m311slide2.pdf, m311slide3.pdf,
m311slide4.pdf, m311slide5.pdf, m311slide6.pdf, m311slide7.pdf
Math 401: m401slide1.pdf, m401slide2.pdf, m401slide3.pdf

Professional and Research Materials:

Research: The Weingarten Curvature Problem (paper that appeared in the Journal of Differential and Integral Equations Vol. 19, Oct. '06) jdie.pdf

Some Personal Notes on Curvature Problems of Interest :

Note that these are notes on results published in journal articles, they are not my results. They are simply personal notes I wrote to better understand these results when I was a graduate student in the department of mathematics at Rutgers University.

The Yamabe Problem (based on results in R. Ye's paper in JDG 39, '94) Personal and research/yamabe.pdf

The Curve Shortening Problem (based on results in M. Gage and R. Hamilton's paper in JDF 23, '86) results in Personal and research/csp.pdf

Research Talks:

Research talk at the AMS SE Sectional Meeting Oct. 30 - Nov. 1 2009: boca.pdf

My Curriculum Vitae: CV of Richard Mikula

Some Math Links: Rutgers University's Mathematics Department; Yanyan Li's Website (my former advisor); Temple University's Mathematics Department

Some Pictures from my Recent Travels: