Chair and Associate Professor: Ford

Assistant Chair and Associate Professor: Lay

Professors: Egger, R. Fisher, R. Hill, Kratz, Lang

Associate Professors: Bosworth, Chang, Cresswell, L. Hill, Laquer, Parker, Stowe, Wolper

Assistant Professors: Hanin, Kantabutra, Kriloff

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
 

MATH 280	FORTRAN	2 cr
	OR
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 g331	Modern Algebra	3 cr
MATH g360	Differential Equations	3 cr

 

Plus one of the following two courses:
 

MATH g327	Vector Analysis	3 cr
MATH g332	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.

Bachelor of Science in Mathematics with a Computer Science Emphasis

Required Courses
 

C S 181	Introduction to Computer Science and Programming I	3 cr
C S 182	Introduction to Computer Science and Programming II	3 cr
C S 283	Introduction to Computer Systems I	3 cr
C S 284	Introduction to Computer Systems II	3 cr
C S 385	Data Structures and Algorithm Analysis I	3 cr
C S 386	Data Structures and Algorithm Analysis II	3 cr
C S 487	Topics in Computer Science	3 cr
C S 488	Senior Project	3 cr
MATH 330	Linear Algebra	3 cr
MATH g360	Differential Equations	3 cr

 

Plus two of the following five sequences, at least one of which must be a 400-level sequence:
 

MATH g331-g332	Modern Algebra	6 cr
MATH g355-g356	Operations Research	6 cr
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 6 credits of 300-level or 400-level Mathematics coursework.

Mathematics Minor
In addition to Calculus I, Calculus II, and Calculus III, the required courses are:
 

MATH 280	FORTRAN	2 cr
	OR
C S 181	Introduction to Computer Science and Programming I	3 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 g331-g332	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 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 (New Course) 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, Su

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 OR EQUIVALENT OR PLACEMENT EXAMINATION. F, S

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 280 FORTRAN 2 credits. Introduction to scientific programming in FORTRAN with emphasis on good structuring. PREREQ: MATH 147 OR EQUIVALENT. D

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 g331-g332 Modern Algebra 3 credits each. Rings, fields, groups, algebras, and selected topics in abstract algebra. PREREQ: MATH 287 AND MATH g330. F, S

MATH g340 Computer Graphics Software 3 credits. Matrix and other data structures. Geometry of 2D and 3D as required for isometric and perspective drawing. Includes spline interpolation, least-squares approximation, and patches. PREREQ: MATH 175 AND MATH 280 OR PERMISSION OF INSTRUCTOR. D

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 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 g421 Advanced Engineering Mathematics I 3 credits. Cross-listed as Engineering g421. Analysis of complex linear and nonlinear engineering systems using advanced techniques, including Laplace transforms, Fourier series and classical partial differential equations. PREREQ: MATH g360, ENGR g264. F

MATH g422 Advanced Engineering Mathematics II 3 credits. Cross-listed as Engineering g422. Analysis of complex linear and nonlinear engineering systems using advanced techniques, including probability and statistics, advanced numerical methods and variational calculus. PREREQ: ENGR g421 or MATH g421. S

MATH g423-g424 Introduction 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 g331. 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-g451 Mathematical 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

Computer Science Courses

C S 181 Introduction to Computer Science and Programming I 3 credits. Problem solving methods and algorithm development in Pascal or other programming language with an emphasis on programming style. COREQ: MATH 160 OR MATH 170. F, S

C S 182 Introduction to Computer Science and Programming II 3 credits. Continuation of C S 181, including such topics as data structures, sorts, searches, recursion, and string processing. PREREQ: C S 181 OR PERMISSION OF INSTRUCTOR. F, S

C S 282 Advanced Computer Programming 3 credits. Further supervised programming experience, including use of a UNIX Operating System and a modern language such as C or Ada. PREREQ: C S 182 OR PERMISSION OF INSTRUCTOR. D

C S 283 Introduction to Computer Systems I 3 credits. Basic concepts of computer systems with an introduction to computer architecture and assembly language programming. PREREQ: C S 182 OR PERMISSION OF INSTRUCTOR. F

C S 284 Introduction to Computer Systems II 3 credits. Survey of operating systems and their relation to computer architecture. PREREQ: C S 282 AND C S 283 OR PERMISSION OF INSTRUCTOR. S

C S 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 MATH 287. PREREQ: MATH 160 OR MATH 170. F, S

C S 385 Data Structures and Algorithm Analysis I 3 credits. Analysis and design of non-numeric algorithms which act on data structures. PREREQ: C S 282 AND EITHER C S 287 OR MATH 330. F

C S 386 Data Structures and Algorithm Analysis II 3 credits. Continuation of C S 385. PREREQ: C S 385. S

C S 487 Topics in Computer Science 3 credits. Selected topics in Computer Science will be chosen depending on the instructor's interests. PREREQ: C S 386 OR PERMISSION OF INSTRUCTOR. D

C S 488 Senior Project 3 credits. Design, implementation and testing of a large program. PREREQ: C S 386 OR PERMISSION OF INSTRUCTOR. F, S

IDAHO STATE UNIVERSITY