## Course Offerings

FDMAT108 Mathematical Tools for the Real World   (3:3:0)
This class prepares students to understand, analyze, and solve real-life problems that
require quantitative reasoning. Topics include the meaning of probabilities, how to
read, critique, and apply statistical information found in news reports, public policy
debates, consumer reports, and other daily life and professional situations; the use of
mathematical models in describing, understanding, and making predictions about real
world phenomena; and the mathematics of loans and investments. Other topics may be
included as time permits. All topics will be illustrated by examples and applications from
current events, daily life, business, and natural phenomena.
(Fall, Winter, Spring)

FDMAT108T Math for the Real World Test Out Option  (1:0:0)
Prerequisites: One of the following courses: FDMAT110; FDMAT112; FDMAT221; FDMAT222;
FDMAT223; FDMAT224; MATH 109; MATH 113, MATH 215
This pass/fail online-based course allows students who have already had a Foundations
mathematics course, to explore the contemporary topics of finance math, linear and
exponential modeling, probability, and statistical reasoning. It will satisfy the BYU-Idaho
Foundations quantitative reasoning requirement and contains the most vital topics of
the traditional 3.0-credit FDMAT 108. Completion of the course includes passing both
a financial mathematics exam and statistical reasoning exam along with a financial
life-planning spreadsheet project. Students may take FDMAT 108T one time only. Failure
of FDMAT 108T would require the students to take the traditional 3.0 credit FDMAT 108
course to complete the foundations quantitative reasoning requirement.
(Fall, Winter, Spring)

FDMAT110 College Algebra   (3:3:0)
Elementary analysis of functions having discrete or connected domains. Methods of
solving equations. Systems of equations and matrices. Strong connections to real world
applications of functions and matrices will be made. Students who will be going on to take
Calculus are strongly encouraged to take Math 109 instead of FDMAT 110.
(Fall, Winter, Spring)

FDMAT112 Calculus 1   (4:4:1)
Prerequisites: MATH 109 or (FDMAT 110 and MATH 111)
Limits, continuity, derivatives, integrals, and transcendental functions. Properties and
applications of the above.
(Fall, Winter, Spring)

MATH 100A Arithmetic   (1:0:3)
A study of arithmetic and applications using arithmetic. This course is only for those
needing a review of elementary school arithmetic including signed numbers, fractions,
decimals, and percents.
(Fall, Winter, Spring)

MATH 100B Beginning Algebra   (2:0:3)
The arithmetic of integers and rational numbers as well as an introduction to algebra. This
course is recommended for those needing basic algebra before taking progressively higher
math courses.
(Fall, Winter, Spring)

MATH 101 Intermediate Algebra   (3:3:0)
Fundamental operations of algebra, properties of exponents, solving linear, fractional,
not be taken for credit if FDMAT 110 has been completed with a grade of "B" or higher.
(Fall, Winter, Spring)

MATH 109 Precalculus   (5:5:0)
Combination of College Algebra and Trigonometry. Intended to prepare students for
Calculus or other math and science courses. Elementary analysis of functions having
discrete or connected domains. Methods of solving equations. Systems of equations and
matrices. Triangle relationships, graphs of periodic functions, trigonometric identities,
inverse trigonometric functions, and applications of trigonometry.
(Fall, Winter, Spring)

MATH 111 Trigonometry   (2:2:0)
Trigonometric functions, triangle relationships, graphs, identities, inverse trigonometric
functions, complex numbers, and applications. Applications of trigonometry will be
emphasized throughout the course.
(Fall, Winter, Spring)

MATH 113 Calculus 2   (3:3:1)
Prerequisites: FDMAT112 or MATH 112
Techniques of integration, infinite sequences and series, polar coordinates, and
parametric curves.
(Fall, Winter)

MATH 114 Calculus II for Education Majors   (4:4:0)
Prerequisites: FDMAT112 or MATH 112
Techniques of integration, infinite sequences and series, polar coordinates, parametric
curves, introduction to multi-variable and vector calculus.
(Fall, Spring)

MATH 119 Calculus for Business and Life Sciences   (4:4:1)
Prerequisites: One of the following courses: FDMAT110; MATH 110; MATH 109; FDMAT109
A one-semester terminal course of single and multi-variable calculus designed primarily
for students in biology, agriculture, and business. Topics include derivatives, integrals, and
Applications.
(Fall, Winter, Spring)

MATH 221 A Business Statistics   (3:3:0)
Prerequisites: Completion of 15 credits
Graphical representations of data; measures of center and spread; elementary probability;
sampling distributions; correlation and regression; statistical inference involving means,
proportions, and contingency tables.
(Fall, Winter, Spring)

MATH 221 B Biostatistics   (3:3:0)
Prerequisites: Completion of 15 credits
Graphical representations of data; measures of center and spread; elementary probability;
sampling distributions; correlation and regression; statistical inference involving means,
proportions, and contingency tables; odds ratio and relative risk.
(Fall, Winter, Spring)

MATH 221 C Social Science Statistics   (3:3:0)
Prerequisites: Completion of 15 credits
Graphical representations of data; measures of center and spread; elementary probability;
sampling distributions; correlation and regression; statistical inference involving means,
proportions, and contingency tables.
(Fall, Winter, Spring)

MATH 190 Tutoring Mathematics   (1:1:0)
Prerequisites: FDMAT112 or MATH 112
This course gives math education majors a mid-level practicum experience working with the secondary level students.  We hope that participants will discover whether or not they really want to pursue a secondary education degree.  During this practicum experience, participants will tutor juior high school students, discuss and use "best" practices in tutoring and improve their presentation skills by completing a theater workshop.
(Fall, Winter, Spring)

MATH 205 Fundamentals of Number Theory   (3:3:0)
Prerequisites: FDMAT108 or FDMAT108T
This course is for Secondary Education Mathematics Majors and Minors and Elementary
Education majors. Systems of numeration, operations on whole numbers, integers and
rational numbers, the real number system, and other topics from number theory are
included.
(Fall, Winter, Spring)

MATH 206 Elementary Geometry   (2:2:0)
Prerequisites: FDMAT108 or FDMAT108T
This course is for Secondary Education Mathematics majors and minors and Elementary
Education majors. Concepts of geometry in two and three dimensions.
(Fall, Winter, Spring)

MATH 214 Multivariate/Vector Calculus   (3:3:1)
Prerequisites: MATH 113
Techniques of integration, infinite sequences and series, polar coordinates, parametric
curves, introduction to multi-variable and vector calculus. Math 214 and Math 215 cannot
both be taken for credit.
(Fall, Winter)

MATH 215 Multivariable Calculus   (4:4:1)
Prerequisites: FDMAT112
Polar coordinates, parametric curves, vectors, vector geometry, vector-valued
functions, partial derivatives, gradient, optimization, multiple integration, vector fields, and
operations on scalar and vector fields. Emphasis on methods and applications. Math 215
and Math 214 cannot both be taken for credit.
(Fall, Winter, Spring)

MATH 241 Linear Algebra 1   (2:2:0)
Prerequisites: FDMAT112
Introduces and explores some of the major concepts of matrix analysis through solving
significant real world problems.
(Winter, Spring)

MATH 242 Linear Algebra 2   (2:2:0)
Prerequisites: MATH 241
Introduces and explores some of the major concepts of vector spaces and linear
transformations through solving significant real world problems.
(Winter, Spring)

MATH 271 Elementary Differential Equation   (2:2:0)
Prerequisites: MATH 114 or MATH 113
Introduces and explores some of the major concepts of differential equations and
dynamical systems through solving significant real world problems.
(Fall, Spring)

MATH 281 Introduction to Applied Mathematics   (3:3:0)
Prerequisites: FDMAT112; MATH 119
Mathematical modeling concepts applied to areas such as biology, physics, chemistry,
game theory, and economics. May include guest lecture, field trips, and interdisciplinary
projects.
(Fall)

MATH 301 Introduction to Analysis   (3:3:0)
Prerequisites: MATH 113
Achieving maturity in mathematical communication. Topics include introduction to
mathematical proof, analysis of proof, set theory, mathematical induction, logical
reasoning, elementary number theory, and properties of relations and functions.
(Winter)

MATH 316 Differential Equations with Linear Algebra   (4:4:1)
Prerequisites: MATH 214 or MATH 215
Matrices, determinants, eigen values and eigenvectors, first and second order ordinary
differential equations, power series and Fourier series methods, Laplace transforms,
systems of linear ordinary differential equations. Emphasis on methods and applications.
Math 316 and Math 371 cannot both be taken for credit.
(Fall, Winter, Spring)

MATH 325 Intermediate Statistical Methods   (3:3:0)
Prerequisites: MATH 221 B OR MATH 221 C

Various nonparametic procedures, ANOVA and ANCOVA with two or more factors, multiple linear regression, modules to develop various skill sets: a)  principles of experimental design, six-sigma, and quality control, b)  odds ratio/relative risk, chi-square , and logistic regression analyses, c) basic time series and forecasting models.
(Fall, Winter, Spring)

MATH 326 Experimental Design   (3:3:0)
Prerequisites: MATH 221 B OR MATH 221 C

Designed to explore various experimental designs, to analyze data from these designs, and to consider optimal experimental designs.  Students will design and conduct major specific projects.
(Fall, Spring)

MATH 327 Introduction to Bayesian Statistics   (3:3:0)
Prerequisites: FDMAT112; MATH 119; MATH 221 B OR MATH 221 C

Introduction to Bayesian Statistics, Topics include:  the scientific method, conditional probability, Bayes' Theroem, multiple integrals, probability distributions, prior/posterior distributions, hypothesis testing, credible intervals, conjugate distributions (beta-binaomial, Poisson-gamma, normal-normal), MCMC methods (i.e. Gibbs sampling), and comparison to frequentitst methodologies.
(Fall, Spring)

MATH 340 Discrete Mathematics   (3:3:0)
Co-requisites: Must be taken concurrently with Math 340L
Topics from graph theory, combinatorics, logic, and mathematical induction. Training in
how to communicate clearly and carefully about mathematical concepts. To be taken
concurrently with Math 340L.
(Fall, Spring)

MATH 340L Technical Writing Lab   (1:0:2)
Co-requisites: Must be taken concurrently with Math 340
Training in how to create and edit technical documents and how to typeset mathematics
and mathematical figures using a computer. To be taken concurrently with Math 340.
(Fall, Spring)

MATH 341 Linear Algebra   (3:3:0)
Prerequisites: FDMAT112
Systems of linear equations, matrices, determinants, eigenvalues and eigenvectors,
vectors, vector spaces, linear transformations, and applications.
(Fall, Winter. Spring)

MATH 350 Geometry   (3:0:0)
Prerequisites: MATH 340
Axiomatic treatment of finite geometries, transformation geometry, Euclidean and
non-Euclidean geometries with emphasis on the historical significance of the Parallel
Postulate.
(Winter, Spring)

MATH 411 Numerical Analysis   (3:0:0)
Prerequisites: CS 124 and (MATH 316 or MATH 341); MATH 301 strongly suggested
Basic error analysis, complexity of algorithms, roots, interpolation, least squares
approximation, curve fitting, numerical differentiation and integration, and systems of
linear equations.
(Fall)

MATH 412   Numerical Analysis II (3:3:0)
Prerequisites: MATH 411 and (MATH 214 or MATH 215)
Methods of solving complex problems using numerical analysis and computer simulation.
A variety of computing tools will be employed to study significant problems of current
interest. Topics may include graph theory, cryptography, random number generation,
queuing theory, discrete optimization, parameter fitting, finite element analysis, numerical
PDE methods, etc.
(Winter, even years)

MATH 423 Probability and Statistics   (3:3:0)
Prerequisites: Math 221 A or Math 221 B or Math 221 C; Math 214; Math 119; Math 214; Math 241
Methods of solving complex problems using numerical analysis and computer simulation.
A variety of computing tools will be employed to study significant problems of current
interest. Topics may include graph theory, cryptography, random number generation,
queuing theory, discrete optimization, parameter fitting, finite element analysis, numerical
PDE methods, etc.
(Winter)

MATH 425 Applied Linear Regression   (3:3:0)

Prerequisites: Math 221 B or Math 221 C and Math 325, and Math 241 or Math 341 and Math 214 or Math 215 or Math 119.

Designed to expolore fundamentals of regression, theory of regression models, residual and residual analysis, multiple regression, remediation, transformations and ANOVA.  Students will use SPSS for statistical analyses.
(Winter)

MATH 440 Modern Algebra   (3:3:0)
Prerequisites: MATH 340 or MATH 240 or MATH 301
This course is for secondary education majors and minors. Number theory, division
algorithm, primes, GCD, LCM, proof, rings, integral domains, fields, polynomials,
Fundamental Theorem of Algebra, groups, isomorphisms, and how these topics apply to
the secondary school mathematics curriculum.
(Fall, Spring)

MATH 441 Abstract Algebra 1   (3:3:0)
Prerequisites: MATH 301 and MATH 341
Introduction to groups, rings, fields, vector spaces, and applications.
(Fall, odd years)

MATH 442 Abstract Algebra 2   (3:3:0)
Prerequisites: MATH 441
Additional exposure to groups, rings, fields, vector spaces, and applications.
(Winter, even years)

MATH 450 History of Mathematics   (2:2:0)
Prerequisites: MATH 350
Intended for those students majoring in Mathematics Education. Presents an overview of
the development of mathematics and its interaction with society.
(Fall, Spring)

MATH 461 Real Analysis 1   (3:3:0)
Prerequisites: (MATH 214 or MATH 215) and (MATH 316 or MATH 341)
Rigorous treatment of the calculus. Limits, continuity, differentiation, integration, and
metric properties of Euclidean spaces.
(Fall, even years)

MATH 462 Real Analysis 2   (3:3:0)
Prerequisites: MATH 461
Analysis in the context of metric spaces. Applications involving such tools as
approximation, Fourier analysis, and multivariate optimization.
(Winter, odd years)

MATH 463 Complex Analysis   (3:0:0)
Prerequisites: MATH 214 or MATH 215
Arithmetic, algebra and calculus operations and concepts applied to complex numbers
and functions of a single complex variable.
(Winter, odd years)

MATH 472 Introduction to Partial Differential Equations   (3:3:0)
Prerequisites: MATH 316

Solving linear homogeneous and nonhomogeneous second-order partial differential
equations with homogeneous and nonhomogeneous boundary conditions by separation of
variables. Sturm-Liouville theory. Applications of partial differential equations to diffusion,
wave, and other phenomena. Fourier series and their applications to solving partial
differential equations. Solving first-order partial differential equations using the method of
characteristics. Introduction to the finite-element and finite-difference methods.
(Winter)

MATH 490 Secondary Education Mathematics Teaching Methods   (2:2:0)
Prerequisites: MATH 302; MATH 350; MATH 440; MATH 450
Math 490 must be taken the semester before student teaching. This course is designed to
help preservice secondary mathematics teachers apply research-based teaching strategies
that lead students to discover, create, appreciate, and utilize mathematics. Students
will have many opportunities to teach, prepare lesson plans, learn how to organize and
manage classrooms, and gain a knowledge of state and professional standards for
secondary mathematics teachers.
(Fall, Winter, Spring)

MATH 495R Topics in Mathematics   (3:3:0)
Prerequisite: Consent of instructor
The content of this class will be determined by the department and the instructor, based
on student need and interest. Possible subjects are Number Theory, Topology, Stochastic
Processes, and Actuarial Science.
(Fall)

MATH 498R Internship   (1-3:0:0)
Prerequisite: Consent of instructor
Practical experience working in a math intensive industry.
(Fall, Winter, Spring)

MATH 499R Senior Project in Mathematics   (1-3:0:0)
Prerequisite: Consent of instructor
Content tailored to individual needs and interests of the students. Investigation and/or
application of mathematical principles under the guidance of a faculty member.
(Fall, Winter, Spring)