College Algebra.(Math 110)
Functions, polynomials, theory of equations, exponential and
logarithmic functions, matrices, determinants, systems of linear
equations, permutations, combinations, binomial theorem. Taught
Winter 2004, Summer 2004, Winter 2006, Summer 2006.
Trigonometry and Analytic Geometry(Math 111)
Circular functions, triangle relationships, identities, inverse
trigonometric functions, triogonometric equations, vectors, complex
numbers, Demoivre's Theorem and analytic geometry. Taught Fall 2006
and Fall 2007.
Calculus I(Math 112)
Basic theoretical concepts and applications of differentiation and
integration. Applications in two dimensional analytic geometry are
provided. Taught Fall 2006.
Calculus II(Math 113)
Methods of integration, analytic geometry, transcendental and
hyperbolic functions, infinite sequences and series, and polar
coordinates. Taught Fall 2004, Fall 2005, Winter 2007
Principles of Statistics I(Math 221)
Descriptive statistics, elementary probability, central tendency,
variability, random variables (discrete and continuous) confidence
intervals, hypothesis testing, linear regression, ANOVA, contingency
tables. Taught Winter 2004, Summer 2004, Fall 2004, Winter 2005,
Summer 2005, Fall 2005, Winter 2006, Summer 2007, Fall 2007, and
Winter 2008.
Foundations of Mathematics(Math 301)
Set theory, logic, development of number systems and axiomatic
systems. Attention is also given to the history of mathematics and
famous mathematicians. Taught Winter 2008.
Mathematical Statistics(Math 321)
Probability, random variables, sampling distributions, estimation
and hypothesis testing, regression and correlation. Taught Winter
2005, Winter 2006, Winter 2007, and Winter 2008.
Differential Equations(Math 334)
Methods used in solving ordinary differential equations and their
applications. Numerical methods, series solutions, and Laplace
Transforms. Taught Fall 2005 and Fall 2006.
Elementary Linear Algebra(Math 343)
Linear systems, matrices, vectors and vector spaces, linear
transformation, determinants, quadratic forms, Eigenvalues, and
Eigenvectors. Taught Fall 2007.
Montana State University
Liberal Arts Mathematics.(Math
150) (No equivalent at BYU-H). A basic math course covering
fundamentals in number systems, trigonometry, financial math,
probability, and descriptive statistical techniques. Taught Spring
1997, Summer 1997, Summer 1998, and Summer 2003.
Business Calculus.(Math 170) (Math 119 at BYU-H). A
survey of basic calculus including limits,
differentiation, and integration with applications to business and
social science problems. Taught Fall 1996.
Calculus & Analytic Geometry I.(Math 181) (Math 112
at BYU-H). Covering functions, elementary transcendental
functions, limits and continuity, differentiation, integration,
analytic geometry, and applications. Taught Fall 1998.
Calculus & Analytic Geometry II.(Math 182) (Math 113 at
BYU-H).
Covering methods of integration, applications of the integral, first
order differential equations, Taylor polynomial and series.
Taught Spring 2001, Fall 2001, Spring 2002, Fall 2002, and Spring
2003.
Matrix Theory and Modeling.(Math 221) (Lower level Math
343 at BYU-H).
Matrix algebra, systems of linear equations, determinants, vector
algebra, geometry in Euclidean 3-space, eigenvalues, eigenvectors.
Taught Fall 2000 and Fall 2003.
Introduction to Statistics I.(Statistics 216) (Like
Math 221 at BYU-H).
Covering traditional and robust estimates of location and
variability, fundamentals of probability theory, confidence
intervals and tests of hypotheses for normal distributions.
Taught Fall 1997, Spring 1998, Summer 2001, and currently teaching.
Introduction to Statistics II.(Statistics 217) (Some
topics covered in Math 221 at BYU-H).
Statistical analysis using the computer. One and two
sample test with confidence intervals for means and proportions;
one-way analysis of variance; F-tests; multiple comparisons;
correlation, contingency tables. Taught Spring 1999.