Mathematics Courses

Students seeking placement into mathematics courses at Idaho State University are advised as follows: Students may register for MATH 111, 117, 140, OR 177 after passing MATH 51. Students may register for MATH 120, 209,230, 250 or 252 with two years of high school algebra AND any one of the following:

     (a) a mathematics ACT score of 25 or higher, 
     (b) a mathematics SATscore of 520 or higher, 
     (c) a CLEP algebra score of 55 or higher, or 
     (d) a passing grade in MATH 111/117. 
 
Students may register for MATH 121 with two years of high school algebra and trigonometry AND any one of (a), (b), or (c) above, or a passing grade in MATH 117. Students wishing placement in classes past MATH 121, such as MATH 222, 223, 360 etc. will be placed on an individual basis.

Students may also be placed after taking the Mathematics Placement Examination. The Exam is given by appointment at the Mathematics Department office, (phone ext. 3350). Placement guidelines by class are: MATH 50--below the 50th percentile on the arithmetic portion of the exam; MATH 51--at or above the 50th percentile on the arithmetic portion but below the 65th percentile on the elementary algebra part, or below the 35th percentile on the college mathematics part if no elementary algebra test; MATH 111, 117, 140 or 177--at or above the 65th percentile on the elementary algebra part, or at or above the 35th percentile on the college mathematics part if no elementary algebra test; MATH 209, 230, 250, or 252--at or above the 65th percentile on the college mathematics part; MATH 120--at or above the 75th percentile on the college mathematics part; MATH 121--at or above the 85th percentile on the college mathematics part.

MATH 50 Developmental Mathematics 0 credits. (4 credit equivalent). Arithmetic of whole numbers, fractions, decimals; ratios and proportions; percents; signed numbers, and linear equations. For students who do not achieve a score on the Placement Examination sufficient to enter MATH 51. Graded S/U. F, S

MATH 51 Developmental Algebra 0 credits (4 credit equivalent). Linear equations, factoring, graphing, inequalities, functions, systems of equations, rational expressions, radicals, quadratic equations. For students who do not achieve a score on the Placement Examination sufficient to enter MATH 111 or MATH 117. Graded S/U. F, S, Su

MATH 111 Algebra 4 credits. Real and complex numbers, functions, equations, inequalities, polynomials, rational functions, exponential and logarithmic functions, systems of equations. Credit cannot be granted in both 111 and 117. PREREQ: SATISFACTORY SCORE EARNED IN MATH 51 OR PLACEMENT EXAMINATION. F, S, Su

MATH 112 Trigonometry 1 credit. Only for students with algebra equivalent to 111 without trigonometry. Students desiring both algebra and trigonometry should take 117. Credit cannot be granted in both 112 and 117. PREREQ: MATH 111 OR AN APPROPRIATE SCORE ON THE DEPARTMENTAL PLACEMENT EXAMINATION. F, S

MATH 117 Algebra and Trigonometry 5 credits. Unified treatment of algebra and trigonometry, equivalent to 111 and 112. Credit cannot be granted in both 117 and 111, or in both 117 and 112. PREREQ: SATISFACTORY SCORE EARNED IN MATH 51 OR PLACEMENT EXAMINATION. F, S

MATH 120 Essentials of Calculus 4 credits. Course in differential and integral calculus designed primarily for students in biological sciences, social sciences, business, education, and humanities. PREREQ: SATISFACTORY SCORE EARNED IN MATH 111 OR PLACEMENT EXAMINATION OR CLEP (MATH) EXAMINATION. Satisfies Goal 3 of the General Education Requirements. F, S, Su

MATH 121 Calculus and Analytic Geometry I 4 credits. First course of a sequence: 121, 222, 223. Real-valued functions of one real variable:
limits, continuity, derivatives, integrals. PREREQ: MATH 117 OR EQUIVALENT. Satisfies Goal 3 of the General Education Requirements. Credit cannot be granted for both MATH 120 AND MATH 121. F, S, Su

MATH 140 Mathematics in the Modern World 3 credits. Survey of applications of mathematics to real-world problems. Topics from graph theory, management science, political science, statistics, geometry, and computer science. PREREQ: SATISFACTORY SCORE EARNED IN MATH 51 OR PLACEMENT EXAMINATION. Satisfies Goal 3 of the General Education Requirements. F, S, Su

MATH 177 The Language of Mathematics 3 credits. Develops mathematical language skills, including: reading with comprehension, expressing mathematical thoughts clearly, reasoning logically, and employing common patterns of mathematical thought. PREREQ: SATISFACTORY SCORE EARNED IN MATH 51 OR PLACEMENT EXAMINATION. Satisfies Goal 3 of the General Education Requirements.

MATH 209 Mathematics for Elementary School Teachers 4 credits. Investigates mathematical concepts relevant to teaching mathematics in the elementary schools. PREREQ: MATH 111 OR EQUIVALENT. F, S, Su

MATH 222 Calculus and Analytic Geometry II 4 credits. Continuation of 121. Techniques of integration, infinite series, plane curves and polar coordinates, functions of several variables, partial derivatives. PREREQ: MATH 121. F, S

MATH 223 Calculus and Analytic Geometry III 4 credits. Continuation of 222. More about functions of several variables, multiple integration, introduction to vector calculus. PREREQ: MATH 222. 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 111 OR EQUIVALENT. F, S

MATH 250 Finite Mathematics 4 credits. Introduction to probability, linear systems, inequalities, and linear programming. Applications directed to non-physical science areas. PREREQ: SATISFACTORY SCORE EARNED IN MATH 111 OR PLACEMENT EXAMINATION OR CLEP (MATH) EXAMINATION. Satisfies Goal 3 of the General Education Requirements. D

MATH 252 Introduction to Statistics 3 credits. Introduction to statistical methods and techniques as applied to the behavioral, biological, social, and managerial sciences. PREREQ: SATISFACTORY SCORE EARNED IN MATH 111 OR PLACEMENT EXAMINATION OR CLEP (MATH) EXAMINATION. Satisfies Goal 3 of General Education Requirements. F, S, Su

MATH 280 FORTRAN 2 credits. Introduction to scientific programming in FORTRAN with emphasis on good structuring. PREREQ: MATH 117 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 120 OR MATH 121. 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 222 AND EITHER MATH 230 OR MATH 250. 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 223 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 223. 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 222 AND MATH 230. 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 330. 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 222 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 222 AND EITHER MATH 230 OR MATH 330. F

MATH g352 General Statistics 3 credits. Reviews some essential material from a first course in applied statistics and proceeds to additional statistical techniques; estimation, testing hypotheses, regression and correlation, analysis of variance, and non-parametric statistics. Oriented toward the behavioral, social, and managerial sciences. PREREQ: MATH 250 OR MATH 252, OR EQUIVALENT. 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 250, 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 355. AS

MATH g360 Differential Equations 3 credits. Theory and applications of ordinary differential equations. PREREQ: MATH 222 AND MATH 230 OR PERMISSION OF INSTRUCTOR. F, S

MATH g421 Advanced Engineering Mathematics I 3 credits. Cross-listed as Engineering g421. Analysis of complex linear and non-linear engineering systems using advanced techniques, including Laplace transforms, Fourier series and classical partial differential equations. PREREQ: MATH 360, ENGR 264. F

MATH g422 Advanced Engineering Mathematics II 3 credits. Cross-listed as Engineering g422. Analysis of complex linear and non-linear engineering systems using advanced techniques, including probability and statistics, advanced numerical methods and variational calculus. PREREQ: ENGR 421 or MATH 421. 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 326, MATH 330 AND MATH 360. 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 331. D

MATH g441 Introduction to Numerical Analysis 3 credits. Introduction to numerical techniques for solving problems dealing with non-linear equations, systems of linear equations, differential equations, interpolation, numerical integration, and differentiation. PREREQ: MATH 326 AND MATH 360 OR PERMISSION OF INSTRUCTOR. F

MATH g442 Introduction to Numerical Analysis 3 credits. Extension of MATH 441 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 441. PREREQ: MATH 441. S

MATH g450-g451 Probability and Statistics 3 credits each. MATH 450 includes discrete and continuous random variables, central limit theorem and some special distributions. Other topics may include Markov chains, branching processes, and random walks. MATH 451 includes interval and point estimation with emphasis on sufficient statistics, testing hypotheses, including uniformly most powerful tests, sequential probability ratio tests, Chi square tests, analysis of variance, regression analysis, tests for independence, and non-parametric methods. Applications to the physical, social and biological sciences will be stressed. PREREQ: MATH 223. F, S

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 360 AND EITHER MATH 326 OR MATH 421. 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 360 AND EITHER MATH 326 OR MATH 421. 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 120 OR MATH 121. 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 120 OR MATH 121. 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