*
Linda Long, Department Chair
A. David Allen, Kent Bessey,
David E. Brown, Boyd Cardon,
Dan Chiddix, Paul Cox,
Shane Goodwin, Ann Marie Harris,
Daris Howard, Craig Johnson,
Larry E. Saunders, Wayne Startin,
Steven S. Terry, Daniel Thomas, Elizabeth Toy
Ina Snell, Secretary (208)356-1400
*

*For information on Computer Science courses,
refer to the
Computer Science section of the catalog.*

We welcome you to the world of Mathematics.

We are committed to: Teaching in a positive, exciting way; encouraging student expertise and curiosity; providing models for study and learning that can be used in any discipline.

**THE MATHEMATICS PROGRAM**

Two Mathematics Degrees are offered at BYU-Idaho: a Bachelor of Science in Mathematics Education and a Bachelor of Science Degree in Applied Mathematics. Students may also minor in Mathematics.

We provide students the opportunity to explore and use the beautiful and powerful language of mathematics.

Students who major in mathematics can choose from a wide variety of careers – from forecasting next month’s weather to predicting the winner of an upcoming election, from designing insurance policies to planning large scale irrigation projects, from teaching students the Pythagorean Theorem to creating new theorems. Mathematicians discover and explore the properties of abstract structures and apply them to almost every human endeavor.

**Need Help?**
If you need to acquire or renew mathematical skills, we offer courses in intermediate algebra. The depart-ment takes primary responsibility for the administration of the mathematics graduation requirement.

Please study carefully the program and course descriptions that follow.

PROGRAM DESCRIPTIONS

*General Education Requirements*

*Bachelor of Science Degree in Mathematics Education (850)*

Eng 316 Adv Technical Writing 3 Chem 105 Gen College Chemistry 4 or Ph 121 Principles of Physics 4 Math 110 (or higher) College Algebra 3Required Mathematics Core: Math 112 Calculus I 4 Math 113 Calculus II 4 Math 301 Foundations of Mathematics 3 Math 302 Foundations of Geometry 3 Math 321 Probability and Statistics 3 Math 341 Linear Algebra 3 Math 401 Secondary Mathematics Teaching Methods 2 Math 441 Abstract Algebra I 3One of the following:Math 111 Trigonometry 2 Math 281 Mathematical Exploration 2 Math 300 History of Mathematics 2One of the following:Math 214 Multivariate Calculus 3 Math 371 Ordinary Differential Equations 3 Math 442 Abstract Algebra II 3 Math 461 Advanced Calculus I 3Recommended Sequence of Courses:FIRST YEAR (Fall)Math 110/111^{3}College Algebra/Trigonometry 5 OR Math 112 Calculus I 4 Science GE 4 English 111 College Writing 3 GE 3 Religion 2 Total Credits 16-17FIRST YEAR (Winter)Math 112 Calculus I 4 OR Math 113 Calculus II 4 Science GE 4 Minor 3 GE 3 Religion 2 Total Credits 16SECOND YEAR (Fall)Math 113 Calculus II 4 OR Elective 3 Math 341 Linear Algebra 3 Math 281 Math Exploration 2 OR Math 300 History of Math 2 Ed 200 2 Minor 3 Religion 2 Total Credits 15-16SECOND YEAR (Winter)Math 301 Found of Math 3 Math 321 Prob and Stat 3 Ed 250 1 Minor 3 GE 3 Religion 2 Total Credits 15THIRD YEAR (Fall)Math 302 Found of Geometry 3 Math 441 Abstract Algebra I 3 Ed 300 2 Eng 316 Adv Tech Writing 3 Minor 3 Religion 2 Total Credits 16THIRD YEAR (Winter)Math 401 Math Methods 2 Math Elective 3 Ed 320 3 Minor 3 GE 3 Religion 2 Total Credits 16FOURTH YEAR (Fall)Ed 380 4 Ed 402 2 Minor 5 GE 3 Total Credits 14FOURTH YEAR (Winter)Ed 490 10 Rel 371 2 Total Credits 12^{3}To receive credit for Math 111 students must enroll in and successfully complete the course. The requirement cannot be filled by vertical credit. See the Teacher Education section of this catalog for details.

Minor Courses:Math 112 Calculus I 4 Math 113 Calculus II 4 Math 301 Foundations of Mathematics 3 Math 302 Foundations of Geometry 3 Math 321 Probability and Statistics 3 Math 341 Linear Algebra 3

(The first two years of this program are outlined below)

*General Education Requirements*

Eng 316 Adv Technical Writing 3 Chem 105 Gen College Chem 4 OR Ph 121 Principle of Physics 4 Math 110 (or higher) College Algebra 3Required Mathematics Core (First two years)Math 112 Calculus I 4 Math 113 Calculus II 4 Math 214 Multivariate Calculus 3 Math 281 Mathematical Exploration 2 Math 301 Foundations of Mathematics 3 Math 341 Linear Algebra 3 CS 144 Intro to S/W Dev 3

FIRST YEAR (Fall)Math 112 Calculus I 4 Science GE 4 GE 6 Religion 2 Total Credits 16FIRST YEAR (Winter)Math 113 Calculus II 4 CS 144 Intro S/W Dev 3 Science GE 4 GE 3 Religion 2 Total Credits 16SECOND YEAR (Fall)Math 214 Multivar Calc 3 Math 281 Math Explor 2 Minor 3 GE 6 Religion 2 Total Credits 16SECOND YEAR (Winter)Math 301 Found of Math 3 Math 341 Linear Algebra 3 GE 3 Minor 3 Religion 2 Total Credits 14

**Minor Courses:**

Required Mathematics CoreMath 112 Calculus I 4 Math 113 Calculus II 4 Math 341 Linear Algebra 3Choose three courses from the following for a total of 20 credits in Mathematics:Math 214 Multivar Calc 3 Math 301 Found of Math 3 Math 321 Prob & Stat 3 Math 371 Intro to ODE’s 3 Math 441 Abstract Algebra I 3 Math 461 Adv Calc I 3

**Math 100R Introduction to College Math 1.5**

Prerequisite: Acceptance into summer CSS Program

Preparation for college level math classes. A variety of topics will be covered depending upon the Instructor.

**Math 100A Arithmetic (1:3:0)**

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 Part I (1:3:0)**

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 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* Quantitative Reasoning (3:3:0)**

Prerequisite: Math 101with 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.

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. Graphing calculator may be required. (See class schedule.)

**Math 110* College Algebra (3:3:0)**

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.

Theory and applications of polynomial, rational, exponential, and logarithmic functions, and systems of linear equations.

(This can be taken in the same semester with Math 111.) Graphing calculator required. (See class schedule)

**Math 111* Trigonometry (2:3:0)**

Prerequisite: Math 101 or equivalent

May be taken as a full semester class or daily for five weeks beginning at the 10th week of the semester.

Circular functions, triangle relationships, identities, inverse circular functions, complex numbers, and applications. Graphing calculator required. (See class schedule)

**Math 112* Calculus I (4:5:0)**

Prerequisite: Math 110 and Math 111

Limits, continuity, derivatives, integrals, transcendental functions and applications. Graphing calculator may be required. (See class schedule)

**Math 113* Calculus II (4:4:0)**

Prerequisite: Math 112

Techniques and applications of integration, infinite sequences and series, polar coordinates, parametric curves and vectors.

**Math 119* Elementary Calculus (4:5:0)**

Prerequisite: Math 110

A one-semester terminal course of single and multivariable calculus designed primarily for students in biology, agriculture and business. Topics include derivatives, integrals and applications.

**Math 214* Multivariate Calculus (3:4:0)**

Prerequisite: Math 113

Vector-valued functions, partial derivatives, gradient, optimization, multiple integration, vector fields, integral theorems of vector calculus and applications.

**Math 221* Principles of Statistics (3-4:4:0)**

Prerequisites: Math 108 or 110

Frequency distributions; measures of central tendency and dispersion; elementary probability; regression and correlation; sampling, statistical inference and estimation including the normal, t-test, chi-square, and analysis of variance tests; multiple contrasts and multiple regression. Graphing calculator may be required. (See class schedule)

**Math 281* Mathematical Exploration (2:2:0)**

Prerequisite: Math 112 or Math 119

Mathematical modeling concepts applied to areas such as biology, physics, chemistry, game theory and economics. May include guest lectures, field trips and interdisciplinary projects. Field trip fee will be approximately $30. (F)

**Math 300* History of Mathematics (2:2:0)**

Prerequisite: Math 113 or concurrent registration

Historical consideration emphasizing the sources of mathematical ideas, the growth of mathematical knowledge and the contributions of outstanding mathematicians. (F)

**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 and logical reasoning. (W)

**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. (F)

**Math 305 Math Concepts for Elementary Education I (4:4:0)**

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.

Survey of important mathematical ideas and their interrelationships. Problem solving, topics from algebra, set theory, functions, systems of numeration, operations on the real numbers and number theory are included.

**Math 306* Math Concepts for Elementary Education II (3:3:0)**

Prerequisite: Math 305

(Meets GE requirements only for Elementary Education majors who have taken Math 305) Enrichment or extended study of the concepts covered in Math 305. Geometry, probability, statistics and logic for elementary education teachers.

**Math 321 Probability and Statistics (3:3:0)**

Prerequisites: Math 112

Probability theory, random variables, discrete and continuous distributions, limit theorems, estimation, hypothesis testing and power.

**Math 341 Linear Algebra (3:3:0)**

Prerequisite: Math 112

Systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, vectors and vector spaces with applications.

**Math 371 Introduction to Ordinary Differential Equations (3:3:0)**

Prerequisite: Math 341 or concurrent registration

Methods and theory of ordinary differential equations with applications. Systems of linear ODEs, LaPlace transforms.

**Math 401 Secondary Mathematics Teaching Methods (2:2:0)**

Prerequisite: Math 301 and 302

Active exploration of the NCTM Standards for teaching and learning strategies, mathematics curriculum review, assessment and classroom technology. Preparation and application of specific lesson plans. Includes peer tutoring and classroom experience. (W)

**Math 441 Abstract Algebra I (3:3:0)**

Prerequisite: Math 301 and 341

Introduction to groups, rings, fields, and polynomials. (F)

**Math 442 Abstract Algebra II (3:3:0)**

Prerequisite: Math 441

Further discussion of groups, fields, and polynomials. Galois theory and applications.

**Math 461 Advanced Calculus I (3:3:0)**

Prerequisite: Math 113 and 301

Rigorous treatment of the calculus of one variable. Limits, continuity, uniform continuity, derivatives and integration

**Complete General Education listing**

Credit Hour Designations/Abbreviations (e.g., 3:3:3)

- First number: Semester hours of credit
- Second number: Class hours of lecture, recitation, or seminar meeting per week
- Third number: Laboratory hours required per week or hours of field study or individual research per week, beyond the hours shown in the second number

BYU-Idaho | Catalog