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 or capstone project during their senior year give students valuable experience applying mathematics in a realistic venue.
As a General Education course in Computer Science (CS 100) is somewhat basic, Mathematics Majors will be allowed to use CS 144 to meet the Basic Skills requirement for General Education.
Minor Required

University Requirements Religion Requirements
(Book of Mormon Courses)
Take these Courses
REL 121, 122 OR
Take these Courses
REL 121H, 122H OR
Take this Course
REL 221
AND
(Scripture Based Courses)
Take 6 Credits
REL 211, 212, 301, 302, 324 OR
Take 6 Credits
REL 211H, 212H, 301H, 302H, 324H
AND
(Other Religion Courses)
Take 4 Credits
REL 100, 130, 215, 234, 235, 260, 261, 264, 333, 341, 341H, 342, 342H, 351, 352, 370, 431, 471, 475
Online Learning
Each student is required to take at least one online course. For more information about the online requirement please visit the Online Learning section found in the Graduation & Transfer section of the catalog
or visit http://web.byui.edu/Catalog/20052006/generalEducation.htm.
Other online course information is available at http://www2.byui.edu/insttech/online.htm.
A list of online courses is available at http://www2.byui.edu/insttech/OnlineCourses/onlinecalendar.htm (select a semester or term).
GE Requirements
I. Reading and Writing
Take 1 Course ENG 111, 111C, 111H
AND Take 1 Course ENG 316, 316C
II. Mathematics
Math 101 may be used as meeting the Math General Education requirement if all of the following criteria are met: 1)Student was enrolled and completed Math 101 prior to Fall 2001; 2)The student's major does not require a higher math class; 3)There is no break in enrollment.
Students initiating their studies at BYUIdaho Fall Semester 2001 or later are not eligible for the ACT math waiver and must take one of the following courses to fill the math requirement.
Take 1 Course MATH 112
III. Basic Skills
Take 1 Course COMM 102, 150, 150H CS 100 HS 131, 131W IS 140
OR Take this Course PE 177
AND Take 1 Course PE 100, 101, 102, 110, 115, 117, 118, 119, 121, 123, 124, 126, 127, 128, 131, 133, 134, 139, 140, 141, 144, 145, 147, 148, 160, 161, 162, 175, 178, 179, 195, 196
IV. Arts
Take 1 Course ART 101, 160, 201, 202 HFED 140 HORT 230 HUM 101, 101H, 201, 201H, 202, 202H MUSIC 100, 101 TA 115, 117
AND Take this Course FA 100
V. Letters
Generally the Letters requirement is filled by taking one of the courses listed below. However, HUM 201 and 202, taken together, can be used to fill both the Arts and Letters requirement.
Take 1 Course CHIN 347 ENG 250, 250H, 251, 331, 332, 333, 334, 335, 351, 352, 353, 354, 362, 373, 373H FR 202 GER 202 HON 200, 220, 221H, 222 LANG 202 PH 314 PHIL 110, 110H, 201, 201H, 202, 202H, 313, 313H, 314, 315, 315H RUSS 340, 340H SPAN 202, 302
VI. Biological Science
Take 4 Credits AGRON 122, 270 BIO 100, 100H, 102, 102H, 118, 120, 130, 150, 150L, 176, 200, 202, 208, 221, 222, 230, 250, 264, 265, 268
VII. Physical Science
Take 4 Credits PH 121, 150
VIII. American Institutions
Take 1 Course AMHER 170, 170H ECON 111, 111H HIST 120, 121 POLSC 110
IX. Social Science
This course must be in a different discipline from the course taken to fill the American Institutions requirement.
Take 1 Course ANTH 101, 101H CHILD 210, 210H ECON 111, 111H, 112, 112H ED 270 GEOG 120 HIST 201, 202 HON 201 PHIL 203, 203H, 204, 204H POLSC 110, 170 PSYCH 111, 111H, 201, 201H SOC 111, 111H, 112, 112H
Major Requirements
Take these Courses Minimum Grade: C MATH 113, 214, 281, 301, 321, 341, 371, 411, 422, 441, 461, 462
AND Take 6 Credits Minimum Grade: C MATH 412, 472, 482, 495
AND Take 3 Credits Minimum Grade: C MATH 498R, 499R

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

University Requirements Religion Requirements
(Book of Mormon Courses)
Take these Courses
REL 121, 122 OR
Take these Courses
REL 121H, 122H OR
Take this Course
REL 221
AND
(Scripture Based Courses)
Take 6 Credits
REL 211, 212, 301, 302, 324 OR
Take 6 Credits
REL 211H, 212H, 301H, 302H, 324H
AND
(Other Religion Courses)
Take 4 Credits
REL 100, 130, 215, 234, 235, 260, 261, 264, 333, 341, 341H, 342, 342H, 351, 352, 370, 431, 471, 475
Online Learning
Each student is required to take at least one online course. For more information about the online requirement please visit the Online Learning section found in the Graduation & Transfer section of the catalog
or visit http://web.byui.edu/Catalog/20052006/generalEducation.htm.
Other online course information is available at http://www2.byui.edu/insttech/online.htm.
A list of online courses is available at http://www2.byui.edu/insttech/OnlineCourses/onlinecalendar.htm (select a semester or term).
GE Requirements
I. Reading and Writing
Take 1 Course ENG 111, 111C, 111H
AND Take 1 Course ENG 316, 316C
II. Mathematics
Math 101 may be used as meeting the Math General Education requirement if all of the following criteria are met: 1)Student was enrolled and completed Math 101 prior to Fall 2001; 2)The student's major does not require a higher math class; 3)There is no break in enrollment.
Students initiating their studies at BYUIdaho Fall Semester 2001 or later are not eligible for the ACT math waiver and must take one of the following courses to fill the math requirement.
Take 1 Course MATH 110, 110H, 112
III. Basic Skills
Take 1 Course COMM 102, 150, 150H CS 100 HS 131, 131W IS 140
OR Take this Course PE 177
AND Take 1 Course PE 100, 101, 102, 110, 115, 117, 118, 119, 121, 123, 124, 126, 127, 128, 131, 133, 134, 139, 140, 141, 144, 145, 147, 148, 160, 161, 162, 175, 178, 179, 195, 196
IV. Arts
Take 1 Course ART 101, 160, 201, 202 HFED 140 HORT 230 HUM 101, 101H, 201, 201H, 202, 202H MUSIC 100, 101 TA 115, 117
AND Take this Course FA 100
V. Letters
Generally the Letters requirement is filled by taking one of the courses listed below. However, HUM 201 and 202, taken together, can be used to fill both the Arts and Letters requirement.
Take 1 Course CHIN 347 ENG 250, 250H, 251, 331, 332, 333, 334, 335, 351, 352, 353, 354, 362, 373, 373H FR 202 GER 202 HON 200, 220, 221H, 222 LANG 202 PH 314 PHIL 110, 110H, 201, 201H, 202, 202H, 313, 313H, 314, 315, 315H RUSS 340, 340H SPAN 202, 302
VI. Biological Science
Take 4 Credits AGRON 122, 270 BIO 100, 100H, 102, 102H, 118, 120, 130, 150, 150L, 176, 200, 202, 208, 221, 222, 230, 250, 264, 265, 268
VII. Physical Science
Take 4 Credits PH 121, 150
VIII. American Institutions
Take 1 Course AMHER 170, 170H ECON 111, 111H HIST 120, 121 POLSC 110
IX. Social Science
This course must be in a different discipline from the course taken to fill the American Institutions requirement.
Take 1 Course ED 270
Major Requirements
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 these Courses Minimum Grade: C MATH 112, 113, 221, 280, 301, 302, 440, 460, 490
AND Take 1 Course MATH 111, 300
AND
Education Core Take these Courses ED 200, 492 SECED 280, 410
AND Take 1 Course ED 285 SECED 252 SPED 322

Minor in Mathematics (119)
The Mathematics (119) minor may be chosen by students who are not preparing to be teachers.
No Double Counting of Minor Courses (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 Minimum Grade: C
MATH 112
AND
Take 1 Course Minimum Grade: C
MATH 411, 412, 422, 441, 461, 462, 472, 482, 495
AND
Take 6 Courses Minimum 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.
(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.)
Take these Courses Minimum Grade: C
MATH 112, 113, 301, 302, 490
 AND
Choose either Option A or Option B
Option A: (Students choosing this option must take Math 440 for 4 credits.)
Take 4 Credits
MATH 440
OR
Option B: (Students choosing this option must take Math 440 for 2 credits.)
Take these Courses
MATH 111, 440



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 Math for the Real World 
(3:3:0) 
Fulfills GE Math requirement. 
Prerequisite: Math 100B with a grade of "B" or higher or one year of high school algebra. 
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. 
Intended to prepare students for Calculus or other math and science courses. Elementary analysis of functions having discrete or connected domains. Theory of equations and methods for solving them. Additional topics from analytic geometry, combinatorics, and/or probability may be included.
(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, Fall)


MATH 119 Calculus for Business and Life Sciences 
(4:5:0) 
Fulfills GE Math requirement. 
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, 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 scalar and 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 15 credits. 
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, anova.
(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.
(Summer, Fall)


MATH 281 Introduction to Applied Mathematics 
(3:3:0) 
Travel 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: At least 30 credits plus a passing score on the prerequisite exam. You must pass the exam during the semester before you take 305. Check the web for exam dates. http://www2.byui.edu/insttech/mathtest.htm 
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 with a grade of "C" or higher. 
(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 214 or 215 or the 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)


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 
Contingency tables, nonparametric tests, principles of experimental design, ANOVA, multiple comparisons, multiple regression, regression diagnostics, subset selection procedures, and some nonlinear regression models.
(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 461 and either Math 316 or Math 341 
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, or concurrent enrollment. 
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 
(13:0:0) 
Prerequisite: Consent of instructor. 
Practical experience working in a math intensive industry.
(As needed)


MATH 499R Senior Project in Mathematics 
(13:2:0) 
Prerequisite: Consent of instructor. 
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)



