Graduation Requirements
Majors
Minors
Course Descriptions

THE MATHEMATICS PROGRAM
Two mathematics degrees are offered at BYUIdaho: a Bachelor of Science degree in Mathematics Education (850) and a Bachelor of Science degree in Applied Mathematics (650). For Secondary Education majors a minor in Mathematics Education (120) is offered. For students in other majors a minor in Mathematics (119) is offered.
As a mathematics faculty we are committed to providing students with quality mathematical instruction and timely academic advising. If students need help acquiring basic mathematical skills, we offer multiple sections of intermediate algebra each semester. Our department also takes primary responsibility for the administration of the mathematics graduation requirement at BYUIdaho.
Additionally, we strive to: 1) Exemplify and foster Christlike attributes, 2) Promote the learning of mathematical ideas by the Spirit, which can quicken students' understanding and enlarge their natural capacities, 3) Prepare students to be mathematically competent as teachers or as professionals in industries that rely on quantitative analysis and synthesis, 4) Cultivate in students an appreciation for the beauty, utility, power, and language of mathematics, 5) Inspire students to pursue intellectual goals long after their formal education is completed.

Program Description

B.S. in Applied Mathematics (650)
Students of applied mathematics can find employment in business, industry, and government or further educational opportunities in fields such as statistics, law, medicine, or business administration. This broad spectrum of career possibilities reflects the remarkable success applied mathematics has had in generating solutions to realworld problems through the formulation, testing, and application of mathematical models.
The Applied Mathematics degree at BYUIdaho explores the mathematical theories needed to analyze, model, and solve a wide variety of problems. Courses in mathematical modeling, numerical methods, and statistical analysis provide students with the basic tools of applied mathematics. Students minor in a field of their choice, better enabling them to understand and solve problems specific to that field. An internship and capstone project during their senior year give students valuable experience applying mathematics in a realistic venue.
Minor Required

General Education Requirements
As you fill the General Education and University requirements, take the classes listed below and then go to the General Education section for a complete listing of the requirements.
AND
Requirement 2:
Take this Course
CS 144  Major Requirements
Take these Courses Min Grade: C
MATH 113, 214, 281, 301, 321, 341, 371, 411, 422, 441, 461, 462, 498R, 499 AND
Take 2 Courses Min Grade: C
MATH 412, 472, 482, 495

B.S. in Math Education (850)
The need for quality mathematics teachers in secondary education has become more acute as individuals are required to deal with the quantitative challenges of our information age. The growing complexity of tasks in the workplace and the increasing reliance on technical analysis is straining the analytic skills of the average worker. Across the country, the success of many rests upon the effectiveness of mathematics education.
The Mathematics Education degree at BYUIdaho enables students to certify as secondary mathematics teachers and gain the confidence needed to succeed in the classroom. We prepare our students to make a significant contribution to the overall quantitative literacy of our communities through professional, inspired teaching. The B.S. degree in Mathematics Education provides the academic content and pedagogical experiences necessary to be successful in the junior high or senior high school classroom.
For a listing of approved Secondary Education majors and minors see the Teacher Education section of this catalog. Minor Required

General Education Requirements
As you fill the General Education and University requirements, take the classes listed below and then go to the General Education section for a complete listing of the requirements.
AND
Requirement 2:
Take this Course
ED 270  Major Requirements
Requirement 1:
Note that Math 111 may NOT be taken after Math 112. Students who have received vertical credit for Math 111 or who have taken AP Calculus are required to take Math 300.
Take 1 Course Min Grade: C
MATH 111, 300  AND AND

Minor in Mathematics (119)
The Mathematics (119) minor may be chosen by students who are not preparing to be teachers.
A course taken for one of the categories listed below cannot be used for a second category. Please refer to the prerequisites and course descriptions when choosing courses.
Take this Course Min Grade: C
MATH 112
AND
Take 1 Course Min Grade: C
MATH 411, 412, 422, 441, 461, 462, 472, 482, 495
AND
Take 6 Courses Min Grade: C
CS 144
MATH 111, 113, 214, 215, 221, 281, 301, 316, 321, 341, 371, 411, 412, 422, 441, 461, 462, 472, 482, 495
Minor in Mathematics Education (120)
The Mathematics minor for secondary education majors prepares students to teach all secondary math courses. The minor should include at least 20 credits in mathematics.
For a listing of approved Secondary Education majors and minors see the Teacher Education section of this catalog.
Requirement 1:
Note that Math 111 may NOT be taken after Math 112. Students who have received vertical credit for Math 111 or who have taken AP Calculus are required to take Math 440 for 4 credits.
Option 1: Students choosing this option must take Math 440 for 2 credits.
Take these Courses Min Grade: C
MATH 111, 440
OR
Option 2: Students choosing this option must take Math 440 for 4 credits.
Take 4 Credits Min Grade: C
MATH 440
 AND


Course Descriptions
MATH 100A Arithmetic 
(1:0:0) 
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.


MATH 100B Beginning Algebra 
(2:0:0) 
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.


MATH 101 Intermediate Algebra 
(3:3:0) 
Prerequisite: Ability to demonstrate proficiency in firstyear algebra or Math 100B with a grade of "B" or higher. 
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 Math 110 has been completed with a grade of "B" or higher.
(Winter, Summer, Fall)


MATH 108 Quantitative Reasoning 
(3:3:0) 
Fulfills GE Math requirement. 
Prerequisite: Math 101 with a grade of "B" or higher or two years of high school algebra. You must also achieve a satisfactory score on the placement exam. The placement exam will cover topics from high school algebra I and II and will be offered during the first week of class. A practice exam is available on the web. 
Exploration of contemporary mathematical reasoning covering topics such as logic, problem solving, finance math, linear and exponential modeling, probability and statistics. Will satisfy both the BYUIdaho and Idaho Core math requirements. Will not serve as a prerequisite for college algebra, trigonometry, or any calculusbased courses.
(Winter, Summer, Fall)


MATH 110 College Algebra 
(3:3:0) 
Fulfills GE Math requirement. 
Prerequisite: Two years of high school algebra or Math 101 with a grade of "B" or higher. You must also achieve a satisfactory score on the placement exam. The placement exam will cover topics from high school algebra II and will be offered during the first week of class. A practice exam is available on the web. 
Functions, polynomials, theory of equations, exponential and logarithmic functions, matrices, systems of linear equations, sequences & series. This class may be taken in the same semester with Math 111.
(Winter, Summer, Fall)


MATH 111 Trigonometry 
(2:2:0) 
Fulfills GE Math requirement. 
Prerequisite: Math 101 or the equivalent 
Trigonometric functions, triangle relationships, graphs, identities, inverse trigonometric functions, complex numbers, and applications.
(Winter, Summer, Fall)


MATH 112 Calculus I 
(4:5:0) 
Fulfills GE Math requirement. 
Prerequisite: Math 110 and Math 111 or high school or college preparation in Algebra and Trigonometry (or in Precalculus) equivalent to Math 110 and Math 111. For more information, the student should consult with the instructor or an adviser in the Mathematics Department. Students entering Calculus I are expected to know how to use those features of their graphing calculators that are typically used in precalculus courses. 
Limits, continuity, derivatives, integrals, and transcendental functions. Properties and applications of the above.
(Winter, Summer, Fall)


MATH 113 Calculus II 
(3:4:0) 
Fulfills GE Math requirement. 
Prerequisite: Math 112 or the equivalent. Students entering Calculus II may be expected to know how to use those features of their graphing calculators that are typically used in first semester calculus courses. 
Techniques of integration, infinite sequences and series, polar coordinates, and parametric curves. Math 113 and Math 215 cannot both be taken for credit.
(Winter, Summer, Fall)


MATH 119 Calculus for Business and Life Sciences 
(4:5:0) 
Prerequisite: Math 110 or the equivalent 
A onesemester terminal course of single and multivariable calculus designed primarily for students in biology, agriculture, and business. Topics include derivatives, integrals, and applications.
(Winter, Summer, Fall)


MATH 214 Multivariate Calculus 
(3:4:0) 
Fulfills GE Math requirement. 
Prerequisite: Math 113 or the equivalent. 
Vectors, vector geometry, quadric surfaces, alternative coordinate systems, vectorvalued functions, partial derivatives, gradient, optimization, multiple integration, vector fields, integral theorems of vector calculus, and applications. Math 214 and Math 215 cannot both be taken for credit.
(Winter, Summer, Fall)


MATH 215 Engineering Mathematics I 
(4:5:0) 
Prerequisite: Math 112 or the equivalent. 
Polar coordinates, parametric curves, vectors, vector geometry, vectorvalued functions, partial derivatives, gradient, optimization, multiple integration, vector fields, and operations on vector fields. Emphasis on methods and applications. Math 215 and Math 113 cannot both be taken for credit. Similarly Math 215 and Math 214 cannot both be taken for credit.
(Winter, Summer, Fall)


MATH 221 Principles of Statistics 
(3:3:0) 
Fulfills GE Math requirement. 
Prerequisite: At least 30 credits and a passing grade on an algebra skills test. 
Frequency distributions; measures of central tendency and dispersion; elementary probability; regression and correlation; sampling, statistical inference and estimation involving the normal, t and chisquare distributions.
(Winter, Summer, Fall)


MATH 280 Mathematical Explorations 
(3:3:0) 
Prerequisite: Math 112 
Intended for those majoring in mathematics education. Topics are chosen from financial mathematics, linear programming, decision theory, discrete and continuous modeling. Emphasis will be placed on learning (and learning to teach) problem solving in real world contexts.
(Fall)


MATH 281 Introduction to Applied Mathematics 
(3:3:0) 
Fee: $30.00 
Prerequisite: Math 112 or 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 300 History of Mathematics 
(2:2:0) 
Prerequisite: Math 113 or concurrent enrollment in Math 113 and the consent of the instructor. 
Intended for those students majoring in Mathematics Education. This class presents historical topics that teachers can use in their math classrooms. This course introduces mathematical ideas and problemsolving strategies that have evolved from ancient times to the present.
(Winter)


MATH 301 Foundations of Mathematics 
(3:3:0) 
Prerequisite: 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, Fall)


MATH 302 Foundations of Geometry 
(3:3:0) 
Prerequisite: Math 301 
Axiomatic treatment of finite geometries, transformation geometry, Euclidean and nonEuclidean geometries with emphasis on the historical significance of the Parallel Postulate.
(Fall)


MATH 305 Math Concepts for Elementary Education I 
(4:4:0) 
Prerequisite: Two years of high school algebra or Math 101 with a grade of "B" or higher and at least 30 credits. You must also achieve a satisfactory score on the placement exam. The placement exam will cover topics from high school algebra I and II. A student should plan to take this exam before enrolling in Math 305. The exam will be offered in November, March, and July. It will also be offered on a limited basis during the first week of class each term. A bank of practice problems similar to those on the exam is available on the web.

This course is for Elementary Education majors. The content focuses on important mathematical ideas and their interrelationships. Problem solving, sets, functions, systems of numeration, operations on whole numbers, integers and rational numbers, the real number system, and number theory are included.
(Winter, Summer, Fall)


MATH 306 Math Concepts for elementary Education II 
(3:3:0) 
Fulfills GE Math requirement. 
Prerequisite: Math 305 (Must have received at least a C in Math 305.) 
(Meets GE requirements only for Elementary Education majors who have taken Math 305.) This course is for Elementary Education majors. Geometry, probability, statistics, and informal logic for elementary education teachers.
(Winter, Summer, Fall)


MATH 316 Engineering Mathematics II 
(4:5:0) 
Prerequisite: Math 215 or equivalent. 
Matrices, determinants, eigenvalues and eigenvectors, first and second order ordinary differential equations, power series and Fourier series methods, systems of linear ordinary differential equations, introduction to numerical solution of the above. Emphasis on methods and applications. Math 316 and Math 371 cannot both be taken for credit.
(Winter, Fall)


MATH 321 Probability and Statistics 
(3:3:0) 
Prerequisite: Math 113. (Math 214 or 215 preferred) 
Probability theory, random variables, discrete and continuous distributions, limit theorems, estimation, hypothesis testing and power.
(Fall)


MATH 341 Linear Algebra 
(3:3:0) 
Prerequisite: Math 112 
Systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, vectors, vector spaces, linear transformations, and applications.
(Winter, Fall)


MATH 371 Introduction to Ordinary Differential Equations 
(3:3:0) 
Prerequisite: Math 214 and Math 341. 
Methods and theory of ordinary differential equations with applications. Differential operators, systems of linear ODEs, Laplace transforms and series methods. Math 371 and Math 316 cannot both be taken for credit.
(Winter, Fall)


MATH 411 Numerical Analysis 
(3:3:0) 
Prerequisite: CS 144 and either Math 341 or Math 316. Math 301 preferred. 
Basic error analysis, complexity of algorithms, roots, interpolation, least squares approximation, curve fitting, numerical differentiation and integration, and systems of linear equations.
(Winter even years)


MATH 412 Scientific Computing 
(3:3:0) 
Prerequisite: Math 411 and either Math 214 or Math 316 
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.
(Fall even years)


MATH 422 Advanced Statistical Methods 
(3:3:0) 
Prerequisite: Math 321 
Multiple linear regression and certain nonlinear regression models, one factor experiments, factorial experiments (two or more factors), nonparametric methods, statistical quality control, and stochastic processes.
(Winter)


MATH 440 Advanced Algebra for Secondary Ed Teachers 
(24:4:0) 
Prerequisite: Math 301 
This course is for secondary education majors and minors. The course takes many of the topics taught in high school or junior high school math classes and treats those topics from a more advanced standpoint. In addition, topics from abstract algebra as they relate to teaching in the secondary schools will be addressed.
(Fall)


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


MATH 460 Advanced Calculus for Secondary Education Teachers 
(2:2:0) 
Prerequisite: Math 112, Math 113, Math 301 
Intended for those majoring in mathematics education. This course reveals the theoretical underpinnings of the topics taught in first and second semester calculus. Topics will include epsilondelta proofs, intermediate and mean value theorems, the fundamental theorems of calculus, differentiation, integration, infinite series, Taylor series, and how to teach calculus concepts to secondary school students.
(Winter, Summer)


MATH 461 Real Analysis I 
(3:3:0) 
Prerequisite: Math 301 and either Math 214 or Math 316 
Rigorous treatment of the calculus. Limits, continuity, differentiation, integration, and metric properties of Euclidean spaces.
(Fall even years)


MATH 462 Real Analysis II 
(3:3:0) 
Prerequisite: Math 341 and Math 461 
Analysis in the context of metric spaces. Applications involving such tools as approximation, Fourier analysis, and multivariate optimization.
(Winter odd years)


MATH 472 Introduction to Partial Differential Equations 
(3:3:0) 
Prerequisite: Either Math 316 or Math 371 
Solving linear homogeneous and nonhomogeneous secondorder partial differential equations with homogeneous and nonhomogeneous boundary conditions by separation of variables. SturmLiouville theory. Applications of partial differential equations to diffusion, wave, and other phenomena. Fourier series and their applications to solving partial differential equations. Solving firstorder partial differential equations using the method of characteristics.
(Fall odd years)


MATH 482 Discrete Models 
(3:3:0) 
Prerequisite: Math 281 and Math 301 
Construction, solution, interpretation, and validation of discrete models with typical applications.
(Winter odd years)


MATH 490 Secondary Education Mathematics Teaching Methods 
(3:3:0) 
Prerequisite: Math 302, Math 440 
Math 490 must be taken the semester before student teaching.
This course is designed to help preservice secondary mathematics teachers apply researchbased 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.
(Winter, Fall)


MATH 495 Topics in Mathematics 
(3:3:0) 
Prerequisite: Consent of Instructor required. 
The content of this class will be determined by the department and the instructor, based on student need and interest. Some possible subjects are: Number Theory, Topology, Complex Variables, and Actuarial Science.
(Winter even years)


MATH 498R Internship 
(1:0:0) 
Prerequisite: Approval of the department internship coordinator. 
Practical experience working in a math intensive industry.
(As needed)


MATH 499 Senior Project in Mathematics 
(2:2:0) 
Prerequisite: Senior standing or the equivalent. 
Content tailored to the individual needs and interests of the students. Investigation and/or application of mathematical principles under the guidance of a faculty mentor.
(Winter)



