**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,

radical and quadratic equations, graphing linear and quadratic functions. Math 101 may

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)