Department of Mathematics
Chair and Associate Professor: Ford
Assistant Chair and Professor: Stowe
Professors: Bosworth, Egger, R. Fisher, R. Hill, Kratz, Lang, Wolper
Associate Professors: Chang, Cresswell, Hanin, L. Hill, Laquer, Lay, Parker
Assistant Professor: Kriloff
Adjunct Faculty: Barclay, Beer, England, Granzow, Hoffman, Huber, Kelso, Kress,
Marsden, Mazaud, Meade, Richards, VanKirk, Walker, Yost
The Bachelor of Science program is designed to prepare students to take positions
in industry, to pursue graduate training, or to enter the teaching profession.
The Computer Science Emphasis option to the Bachelor of Science degree is intended
to provide the basic skills in computer science in addition to a strong mathematics
background. Both programs allow some flexibility in course work which necessitates
close cooperation with a mathematics department advisor who should be selected
early in the student's career. It is assumed that all students registered in
mathematics courses numbered 300 or above have learned (a) at least one computer
language and (b) introductory material in abstract mathematics, as in MATH 287.
Bachelor of Science in Mathematics
Required Courses:
C S 181 Introduction to Computer
Science and Programming I 3 cr
MATH 287 Discrete Structures 3 cr
MATH g326 Elementary Analysis 3 cr
MATH g330 Linear Algebra 3 cr
MATH g360 Differential Equations 3 cr
MATH g407 Modern Algebra 3 cr
Plus one of the following two courses:
MATH g327 Vector Analysis 3 cr
MATH g408 Modern Algebra 3 cr
Plus two of the following three sequences:
MATH g423-g424 Introduction to Real Analysis 6 cr
MATH g441-g442 Introduction to
Numerical Analysis 6 cr
MATH g450-g451 Mathematical Statistics 6 cr
Plus 3 credits of 400-level mathematics coursework.
Associate of Science in Mathematics
Students seeking an Associate of Science degree in Mathematics must complete
the following:
General Education Goals for the Bachelor of Science* variable
One of the two tracks described below.
Track A is designed to provide the student with a broad
overview of basic topics in mathematics. Track B is
designed to provide the student with the lower-division
coursework generally expected for a major or minor in mathematics.
Track A
MATH 123 Mathematics in Modern
Society 3 cr
MATH 127 The Language of Mathematics 3 cr
MATH 130 Finite Mathematics 4 cr
MATH 144 Trigonometry** 2 cr
MATH 160 Brief Calculus 4 cr
MATH 253 Introduction to Statistics 3 cr
C S 181 Introduction to Computer
Science and Programming I 3 cr
TOTAL MATH CREDITS: 20-22 cr
**MATH 144 may be waived given a sufficient score
on the Mathematics Placement Exam or the Mathematics
Sub-test of the ACT or SAT.
Track B
C S 181 Introduction to Computer
Science and Programming I 3 cr
MATH 170 Calculus I 4 cr
MATH 175 Calculus II 4 cr
MATH 275 Calculus III 4 cr
MATH 287 Discrete Structures 3 cr
Approved MATH electives 3 cr
TOTAL MATH CREDITS: 21 cr
Electives to bring total to 64 cr variable
TOTAL: 64 cr
*The number of credits required for the General
Education requirements varies depending on the
student's performance on proficiency or placement
tests in English, foreign languages, and mathematics.
Mathematics Minor
Required Courses:
C S 181 Introduction to Computer
Science and Programming I 3 cr
MATH 170 Calculus I 4 cr
MATH 175 Calculus II 4 cr
MATH 275 Calculus III 4 cr
MATH g330 Linear Algebra 3 cr
MATH g360 Differential Equations 3 cr
Plus any pair from:
MATH g326-g327 Elementary Analysis,
Vector Analysis 6 cr
MATH g407-g408 Modern Algebra 6 cr
MATH g441-g442 Introduction to
Numerical Analysis 6 cr
MATH g450-g451 Mathematical Statistics 6 cr
Mathematics Courses
Students seeking placement into mathematics courses at Idaho State University
are advised as follows: Students may register for MATH 107, MATH 123, or MATH
127 after passing MATH 025. Students may register for MATH 130, MATH 143, MATH
147, or MATH 253 after passing MATH 107. Students may register for MATH 144
or MATH 160 after passing MATH 143. Students may register for MATH 170 after
passing MATH 143 and MATH 144 or MATH 147. Students wishing placement in courses
past MATH 170 will be placed on an individual basis.
Students may also be placed based on results from the Mathematics Placement
Examination, the ACT Mathematics Exam, or the SAT Mathematics Exam. See the
Mathematics Department for further information.
MATH 015 Arithmetic/Pre-algebra 0 credits (3 credit equivalent) (Replaces
MATH 50) Arithmetic of whole numbers, fractions, decimals; ratios and proportions;
percents; signed numbers, and linear equations. Graded S/U. F, S
MATH 025 Elementary Algebra 0 credits (3 credit equivalent). (Replaces
MATH 51.) Variables and algebraic expressions. The number line. Linear equations
and inequalities. Expansion and factorization of expressions. Absolute values.
Quadratic equations. Cartesian coordinates. Slopes and equations of lines. Two-by-two
linear systems. Graded S/U. F, S, Su
MATH 107 Intermediate Algebra 3 Credits. Topics in Algebra, with an
emphasis on solving equations and inequalities, including nonlinear equations
and systems, with graphical interpretations. Polynomials and factorization.
Quadratic formula. Introduction to functions and graphs; rational powers, radicals, exponentials, logarithms. PREREQ: MATH 025.
F, S, Su
MATH 123 Mathematics in Modern Society 3 credits. (Replaces MATH 140.)
Survey of applications of mathematics to real-world problems. Topics from graph
theory, management science, political science, statistics, geometry, and computer
science. PREREQ: MATH 025. Satisfies Goal 3 of the General Education Requirements.
F, S, Su
MATH 127 The Language of Mathematics 3 credits. (Replaces MATH 177.)
Introduction to the precise language used throughout mathematics. Development
of skills including reading with comprehension, expressing mathematical thoughts
clearly, reasoning logically, and employing common patterns of mathematical
thought. PREREQ: MATH 025. Satisfies Goal 3 of the General Education Requirements.
F
MATH 130 Finite Mathematics 4 credits. (Replaces MATH 250.) Introduction
to probability, linear systems, inequalities, and linear programming. Applications
directed to non-physical science areas. PREREQ: MATH 107. Satisfies Goal
3 of the General Education Requirements. S
MATH 143 College Algebra 3 credits. (Replaces MATH 111.) Topics in algebra
with an emphasis on functions. Polynomial, rational, algebraic, exponential,
and logarithmic functions. Domain, operations, composition, inverses, graphing.
Shifting and rescaling. Asymptotes and long division of polynomials. Equations
and inequalities involving functions. PREREQ: MATH 107. F, S, Su.
MATH 144 Trigonometry 2 credits. (Replaces MATH 112) Right-triangle
and circular function approaches to trigonometry. Graphs of trigonometric functions;
amplitude, frequency, phase shift. Trigonometric identities. Inverse trigonometric
functions. Polar coordinates, complex numbers, polar representation of complex
numbers. PREREQ: MATH 143. F, S, Su
MATH 147 Precalculus 5 credits. (Replaces MATH 117) A single one-semester
course equivalent to college Algebra (MATH 143) plus Trigonometry (MATH 144).
Credit cannot be granted in both MATH 143 and MATH 147, or in both MATH 144
and MATH 147. PREREQ: MATH 107. F, S
MATH 157 Structure of Arithmetic for Elementary School Teachers 3 credits.
Development of number systems. Emphasis on principles, representations, and
concept development. For elementary education majors. PREREQ: MATH 143. F, S,
Su
MATH 160 Brief Calculus 4 credits. (Replaces MATH 120) Course in differential
and integral calculus designed primarily for students in biological sciences,
social sciences, business, education, and humanities. Credit cannot be granted
in both MATH 160 and MATH 170. PREREQ: MATH 143. Satisfies Goal 3 of the General
Education Requirements. F, S, Su
MATH 170 Calculus I 4 credits. (Replaces MATH 121) First course of a
sequence: 170, 175, 275. Real-valued functions of one real variable: limits,
continuity, derivatives, integrals, applications. Credit cannot be granted in
both MATH 160 and MATH 170. PREREQ: MATH 147 OR MATH 143/144. Satisfies Goal
3 of the General Education Requirements. F, S, Su
MATH 175 Calculus II 4 credits. (Replaces MATH 222) Applications of
the integral. Techniques of integration. Inverse transcendental functions. Sequences
and series. Parametric curves. Polar coordinates PREREQ: MATH 170. F, S
MATH 230 Introduction to Linear Algebra 2 credits. Vector algebra and
geometry in 3-space, systems of linear equations, real n-space, linear transformations,
determinants, eigenvalues. PREREQ: MATH 143. F, S, Su
MATH 253 Introduction to Statistics 3 credits. (Replaces MATH 252) Descriptive
statistics, probability, confidence intervals, and hypothesis testing for one
and two parameters. Emphasis on applications to a wide variety of disciplines.
PREREQ: MATH 107. Satisfies Goal 3 of General Education Requirements. F, S,
Su
MATH 257 Structure of Geometry and Probability for Elementary School Teachers
3 credits. Topics from geometry, probability, and statistics. Emphasis on
principles, representations, and concept development. For elementary education
majors. PREREQ: MATH 157. F, S
MATH 275 Calculus III 4 credits. (Replaces MATH 223) Multivariable calculus.
Vector algebra and geometry. Functions of several variables. Differentiation.
Optimization. Multiple Integrals. Parametric curves and surfaces. Line and surface
integrals. Vector fields. Green's, Stokes', and divergence theorems. PREREQ:
MATH 175. F, S
MATH 287 Discrete Structures 3 credits. An introduction to discrete
structures. Material covered will include sets, propositions, proofs, functions
and relations, equivalence relations, quantifiers, Boolean algebras, graphs.
Cross-listed as C S 287. PREREQ: MATH 160 OR MATH 170. F, S
MATH 315 Mathematical Methods in Secondary Schools 3 credits. Designed
for prospective teachers of junior and senior high school mathematics. Topics
include curriculum, the teaching of special subject matter, teaching aids, the
history of mathematics, and the evaluation of recent curriculum improvement
studies. PREREQ: MATH 175 AND EITHER MATH 230 OR MATH 130. S
MATH g326 Elementary Analysis 3 credits. Rigorous calculus on real line.
Completeness, compactness and connectedness. Continuity, images of compact and
connected sets. Series, uniform convergence. Differentiability, inverse functions,
chain rule. Integration, fundamental theorem, improper integrals. PREREQ: MATH
275 AND MATH 287. S
MATH g327 Vector Analysis 3 credits. Calculus of vector functions of
several variables, derivative matrix, chain rule, inverse function theorem,
multiple integration. Change of variables. Integrals over curves and surfaces.
Green's, Stokes' and divergence theorems. Applications to physics. PREREQ: MATH
275. F
MATH g330 Linear Algebra 3 credits. Fields, vector spaces, linear transformations
and matrices, triangular and Jordan forms, eigenvalues, dual spaces and tensor
products, bilinear forms, inner product spaces. PREREQ: MATH 175 AND MATH 287.
F, S
MATH g343 Modern Geometry 3 credits. Projective, Euclidean, and non-Euclidean
geometries from an axiomatic point of view. PREREQ: MATH 175 AND EITHER MATH
230 OR MATH 330. F
MATH g352 General Statistics 3 credits. Probability, random variables,
discrete and continuous distributions such as the Binomial, Poisson, Geometric,
Hypergeometric, Normal, and Gamma, sampling distribution, point and interval
estimation, hypothesis testing. PREREQ: MATH 160 OR MATH 175. F
MATH g355 Operations Research 3 credits. Deterministic problems in operations
research oriented towards business. Includes linear programming, transportation
problems, network analysis, PERT, dynamic programming, and elementary game theory.
PREREQ: MATH 230 OR MATH 130, OR PERMISSION OF INSTRUCTOR. AF
MATH g356 Operations Research II 3 credits. Probabilistic models oriented
towards business are treated. Selections from stochastic processes, Markov chains,
queuing theory, inventory theory, reliability, decision analysis and simulation.
PREREQ: MATH g355. AS
MATH g360 Differential Equations 3 credits. Theory and applications
of ordinary differential equations. PREREQ: MATH 230 AND MATH 275 OR PERMISSION
OF INSTRUCTOR. F, S
MATH g407-g408Modern Algebra 3 credits each. Rings, fields, groups,
algebras, and selected topics in abstract algebra. PREREQ: MATH 287 AND MATH
g330. F, S
MATH g421 Advanced Engineering Mathematics I 3 credits. Analysis of
complex linear and nonlinear engineering systems using advanced techniques,
including Laplace transforms, Fourier series and classical partial differential
equations. Cross-listed as ENGR g421. PREREQ: MATH g360. F
MATH g422 Advanced Engineering Mathematics II 3 credits. Analysis of
complex linear and nonlinear engineering systems using advanced techniques,
including probability and statistics, advanced numerical methods and variational
calculus. Cross-listed as ENGR g422. PREREQ: ENGR g421 or MATH g421. S
MATH g423-g424Introduction to Real Analysis 3 credits each. The real
number system, limits, sequences, series and convergence; metric spaces; completeness;
and selected topics on measure and integration theory. PREREQ: MATH 287, MATH
g326, MATH g330 AND MATH g360. F, S
MATH g435 Elementary Number Theory 3 credits. Diophantine equations,
prime number theorems, residue systems, theorems of Fermat and Wilson, and continued
fractions. PREREQ: MATH g407. D
MATH g441 Introduction to Numerical Analysis 3 credits. Introduction
to numerical techniques for solving problems dealing with nonlinear equations,
systems of linear equations, differential equations, interpolation, numerical
integration, and differentiation. PREREQ: MATH g326 AND MATH g360 OR PERMISSION
OF INSTRUCTOR. F
MATH g442 Introduction to Numerical Analysis 3 credits. Extension of
MATH g441 for students who wish to pursue more advanced techniques with emphasis
on analysis. Typical topics covered include numerical methods applied to partial
differential equations, integral equations, and in-depth treatment of topics
covered in MATH g441. PREREQ: MATH g441. S
MATH g450-g451Mathematical Statistics 3 credits each. Probability,
random variables, discrete and continuous distributions, order statistics, limit
theorems, point and interval estimation, uniformly most powerful tests, likelihood
ratio tests, chi-square and F tests, nonparametric tests. PREREQ: MATH g326.
F, S
MATH g457 Applied Regression Analysis 3 credits. Simple and multiple
linear regression, polynomial regression, diagnostics, model selection, models
with categorical variables. PREREQ: MATH 352 OR PERMISSION OF INSTRUCTOR. D
MATH g458 Experimental Design 3 credits. The linear model for experimental
designs, analysis of variance and covariance, block designs, factorial designs,
nested designs, choice of sample size. PREREQ: MATH 352 OR PERMISSION OF INSTRUCTOR.
D
MATH g459 Applied Multivariate Analysis 3 credits. Matrix computation
of summary statistics, graphical analysis of multivariate procedures, multivariate
normal distribution, MANOVA, multivariate linear regression, principal components,
factor analysis, canonical correlation analysis. PREREQ: MATH 352 OR PERMISSION
OF INSTRUCTOR. D
MATH g462 Introduction to Complex Variables 3 credits. Introduction
to the study of functions of a complex variable including analytic functions,
power series, integral theorems, and applications. PREREQ: MATH g360 AND EITHER
MATH g326 OR MATH g421. D
MATH g465 Partial Differential Equations 3 credits. Equations of the
first and second orders, methods of solution, Laplace's equation, heat equation,
and wave equation. Emphasis on applications in physical sciences and engineering.
PREREQ: MATH g360 AND EITHER MATH g326 OR MATH g421. D
MATH g473 Introduction to Topology 3 credits. Metric spaces; convergence;
notions of continuity; connected, separable and compact spaces. PREREQ: PERMISSION
OF INSTRUCTOR. D
>MATH g481 Special Problems 1-3 credits. Reading and conference in an
area not usually covered by a regular offering. Individual work under the supervision
and guidance of a professor whose specialty includes the chosen area. Open to
seniors and graduate students in good standing and with consent of the instructor.
May be repeated until 6 credits are earned. D
MATH g491 Mathematics Seminar 1-3 credits. Advanced reading and discussion
on selected topics in mathematics. May be taken for credit more than once. PREREQ:
SENIOR STANDING OR EQUIVALENT. D
