B.S.  in Mathematics (650)
Students of applied mathematics can find employment in business, industry, and government or further educational opportunities in law, medicine, or business administration. This broad spectrum of career possibilities reflects the remarkable success applied mathematics has had in generating solutions to real-world problems through the formulation, testing, and application of mathematical models.

The Applied Mathematics degree at BYU-Idaho 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 gives 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 General Education for a complete listing of the requirements

Math 110 and Math 111 are prerequisites for Math 112.
 Take 1 Course
 MATH 110
 MATH 110H
 MATH 111
 MATH 112

AND
      Take 1 Course
      CHEM 105
      PH 121

     AND
      Take 1 Course
      ENG 316
      ENG 316C


Major Requirements
A course taken for one of the catagories listed below cannot be used for a second catagory.
 Take all of these courses
 CS 144
 MATH 112
 MATH 113
 MATH 214
 MATH 281
 MATH 301
 MATH 341
 MATH 441
 MATH 461
 MATH 499

AND
      Take 1 Course
      MATH 442
      MATH 462

     AND
      Take 5 Courses
      MATH 321
      MATH 371
      MATH 411
      MATH 442
      MATH 462
      MATH 472
      MATH 481
      MATH 495

Sample Sequence of Courses

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 BYU-Idaho 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- or senior-high classroom.


Minor Required

General Education Requirements
As you fill the General Education and University Requirements take the classes listed below and then go to General Education for a complete listing of the requirements

Math 110 and Math 111 are prerequisites for Math 112.
 Take 1 Course
 MATH 110
 MATH 110H
 MATH 111
 MATH 112

AND
      Take 1 Course
      CHEM 105
      PH 121

     AND
      Take 1 Course
      ENG 316
      ENG 316C


Major Requirements
Math Education majors will be required to take the courses listed below. They will also be required to take a core of Education and Secondary Education courses to total 24 credits. See the catalog pages for Secondary Education for the list of courses. Students must receive a grade of C- or higher in all major courses. Each candidate for certification will need to pass a Mathematics test over content and pedagogy. (Math 111 must be taken as a class to fulfill this requirement. The requirement cannot be filled by vertical credit.)
 Take all of these courses 

 MATH 112
 MATH 113
 MATH 301
 MATH 302
 MATH 321
 MATH 341
 MATH 405
 MATH 441

AND
      Take 1 Course      

      MATH 111
      MATH 281
      MATH 300

     AND
      Take 1 Course      

      MATH 214
      MATH 371
      MATH 442
      MATH 461

Sample Sequence of Courses

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 first-year 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.
MATH 108 Math for the Real World	(3:3:0)
Fullfills 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 BYU-Idaho and Idaho Core math requirements. Will not serve as a prerequisite for college algebra, trigonometry, or any calculus-based courses.
MATH 109	(5:5:0)
MATH 110 College Algebra	(3:3:0)
Fullfills 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.
MATH 111 Trigonometry	(2:2:0)
Fullfills GE Math requirement.
Prerequisite: Math 101 or the equivalent
Trigonometric functions, triangle relationships, graphs, identities, inverse trigonometric functions, complex numbers, and applications.
MATH 112 Calculus I	(4:5:0)
Fullfills 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 may be 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.
MATH 113 Calculus II	(3:4:0)
Fullfills 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.
MATH 119 Calculus for Business and Life Sciences	(4:5:0)
Fullfills GE Math requirement.
Prerequisite: Math 110 or the equivalent
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.
MATH 214 Multivariate Calculus	(3:4:0)
Fullfills GE Math requirement.
Prerequisite: Math 113 or the equivalent.
Vectors, vector geometry, quadric surfaces, alternative coordinate systems, vector-valued 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.
MATH 215 Engineering Mathematics I	(4:5:0)
Prerequisite: Math 112 or the equivalent.
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 113 cannot both be taken for credit. Similarly Math 215 and Math 214 cannot both be taken for credit.
MATH 221 Principles of Statistics	(3:3:0)
Fullfills 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 chi-square distributions, anova.
MATH 280 Mathematical Explorations	(2:2:0)
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.
MATH 280L Mathematical Explorations Lab	(1:0:1)
Prerequisite: Concurrent enrollment in Math 280
Work as a math department tutor.
MATH 281 Introduction to Applied Mathematics	(3:3:0)
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.
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 problem-solving strategies that have evolved from ancient times to the present.
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.
MATH 302 Foundations of Geometry	(3:3:0)
Prerequisite: Math 301
Axiomatic treatment of finite geometries, transformation geometry, Euclidean and non-Euclidean geometries with emphasis on the historical significance of the Parallel Postulate.
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://www.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.
MATH 306 Math Concepts for elementary Education II	(3:3:0)
Fullfills 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.
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. Emphasis on methods and applications. Math 316 and Math 371 cannot both be taken for credit.
MATH 321 Advanced Statistical Methods	(3:3:0)
Prerequisite: Math 110 and at least 30 credit hours
Graphical representation of data, principles of experimental design, confidence intervals, hypothesis testing, contingency tables, nonparametric tests, ANOVA, multiple comparisons, multiple regression, regression diagnostics, subset selection procedures, and some nonlinear regression models.
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.
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.
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.
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.
MATH 422 Probability and Statistics	(3:3:0)
Prerequisite: Math 321 and either Math 214 or 215
Probability theory, random variables, discrete and continuous distributions, limit theorems, estimation, hypothesis testing and power.
MATH 440 Advanced Algebra for Secondary Ed Teachers	(2-4:4:0)
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.
MATH 441 Abstract Algebra I	(3:3:0)
Prerequisite: Math 301 and Math 341
Introduction to groups, rings, fields, vector spaces, and applications.
MATH 442 Abstract Algebra II	(3:3:0)
Prerequisite: Math 441
Additional exposure to groups, rings, fields, vector spaces, and applications.
MATH 442 Abstract Algebra II	(3:3:0)
Prerequisite: Math 441
Additional exposure to groups, rings, fields, vector spaces, and applications.
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 epsilon-delta 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.
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.
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.
MATH 472 Introduction to Partial Differential Equations	(3:3:0)
Prerequisite: Either Math 316 or Math 371
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.
MATH 490 Secondary Education Mathematics Teaching Methods	(2:2:0)
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 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.
MATH 490L Secondary Education Mathematics Teaching Methods Lab	(1:0:4)
Teach Math 101 under the supervision of a faculty member.
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, Stochastic Processes, and Actuarial Science.
MATH 498R Internship	(1-3:0:0)
Prerequisite: Consent of instructor.
Practical experience working in a math intensive industry.
MATH 499R Senior Project in Mathematics	(1-3:2:0)
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.