Brigham Young University - Hawaii
- Mathematical Reasoning, Problem Solving, and Applications
(Math 106), (Math 106A), or (Math 106B)
Designed to assist students in developing quantitative, analytical,
and logical reasoning skills; in cultivating problem-solving
strategies; and understanding the usefulness of mathematics through
applications. (106A) Problem solving, financial management, exponential
growth, mathematical modeling, and elementary applications of higher
mathematics. (106B) Critical thinking, logic, sets, probability, and
statistical reasoning. Taught Summer 2008, Fall 2008, First Term 2009
(106B), Winter 2010 (106A), First Term 2011 (106A), Summer A 2012
(106A), Summer B 2012 (106A).
- College Algebra.
(Math 110), (Math 110A), or (Math 110B)
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, Winter
2013, and Fall 2013.
- Trigonometry and Analytic Geometry
Circular functions, triangle relationships, identities, inverse
trigonometric functions, trigonometric equations, vectors, complex
numbers, Demoivre's Theorem and analytic geometry. Taught Fall
2006, Fall 2007, Fall 2011, and Fall 2013.
- Calculus I
Basic theoretical concepts and applications of differentiation and
integration. Applications in two dimensional analytic geometry are
provided. Taught Fall 2006, Fall 2009, Winter 2013, and Spring
- Calculus II
Methods of integration, analytic geometry, transcendental and
hyperbolic functions, infinite sequences and series, and polar
coordinates. Taught Fall 2004, Fall 2005, Winter 2007, Winter
2010, Fall 2010, and Fall 2012.
- Applied Calculus
Introduction to plane analytic geometry and one-dimensional
calculus. One semester terminal course designed for students in
business, life sciences, management, social sciences, and related
applied disciplines. Taught Winter 2015
- Principles of Statistics I
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,
Winter 2008, Winter 2009, Summer 2009, Fall 2009, Summer 2010,
Fall 2010, Winter 2011, Summer 2011, First Term 2011, Fall 2011,
Winter 2012, Summer 2013, Winter 2014, Summer 2014, Fall 2014,
Winter 2015, Winter 2015-16, Fall 2016, Winter 2016-17, and Spring
- Foundations of Mathematics
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, Summer 2014
- Mathematics Using Technologies Math 308
Introduction to current math-specific software and calculators
which are used in the teaching and learning of mathematics.
Technology will be used to investigate topics from algebra,
statistics, calculus, linear algebra, etc. Taught Summer 2014.
- Introduction to Numerical Methods
Interpolation, curve fitting, numerical differentiation and
integration, and numerical solutions to linear, non-linear and
differential systems. Taught Winter 2015-2016 and Spring 2017.
- Mathematical Statistics
Probability, random variables, sampling distributions, estimation
and hypothesis testing, regression and correlation. Taught Winter
2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter
2010, Winter 2011, Fall 2011, Fall 2012, Fall 2013, Fall 2014,
Fall 2015, and Fall 2016.
- Differential Equations
Methods used in solving ordinary differential equations and their
applications. Numerical methods, series solutions, and Laplace
Transforms. Taught Fall 2005, Fall 2006, Fall 2008, Fall 2009, Fall
2010, Winter 2012, Winter 2014, Summer 2015, and Spring 2017.
- Elementary Linear Algebra
Linear systems, matrices, vectors and vector spaces, linear
transformation, determinants, quadratic forms, Eigenvalues, and
Eigenvectors. Taught Fall 2007, Summer 2012, Spring 2016, and
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
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
- 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.
Last modified: Fri Mar 10 17:44:34 HST 2017