
MATH 099 Intermediate Algebra 
3.00 credits 


Review of basic algebraic operations and concepts for students who need additional preparation before taking other courses involving mathematics. Topics include operations on algebraic expressions, factoring, algebraic functions, linear and quadratic equations, graphing, exponents, radicals, and linear equations in two unknowns. This course does not fulfill the mathematics portion of the University core curriculum. 


MATH 103 Excursions in Mathematics 
3.00 credits 


An elementary survey of various mathematical areas such as algebra, geometry, counting (permutations, combinations), probability, and other topics selected by the instructor. This course is intended for the liberal arts student not pursuing business or the sciences. Fall and Spring. 


MATH 112 College Algebra 
3.00 credits 


College algebra for those students who need additional preparation before taking MATH 114, MATH 147, or MATH 148. Topics include equations, polynomials, conics, graphing, algebraic, exponential and logarithmic functions. Fall and Spring. 


MATH 114 Mathematical AnalysisBusiness 
3.00 credits 


Designed for the student majoring in business. Topics selected from: functions and models, systems of equations, optimization, and introductory calculus. The emphasis will be on examples from business, which may include: cost, revenue, profit, supply, demand, market equilibrium, interest, presentvalue, futurevalue, and consumer and producer surplus. Fall and Spring. 

Prerequisite:

MATH 112 Minimum Grade: D 



MATH 121 Introductory Statistics 
3.00 credits 


An introduction to the basic concepts of descriptive and inferential statistics and their application to the interpretation and analysis of data. Fall and Spring. 


MATH 147 Precalculus 
3.00 credits 


Topics include advanced equations and inequalities, functions and graphs including composite and inverse functions, logarithmic and exponential functions, trigonometric functions and their graphs, right angle trigonometry, trigonometric identities, systems of equations, and conics. Fall and Spring. 

Prerequisite:

MATH 112 Minimum Grade: D 



MATH 148 Survey of Calculus 
3.00 credits 


A one semester introduction to differential and integral calculus designed to convey the significance, use and application of calculus for liberal arts students, particularly those in the behavioral, biological, and social sciences. Fall and Spring. 

Prerequisite:

MATH 112 Minimum Grade: D 



MATH 157 CalculusAnalytic Geometry I 
4.00 credits 


Functions, continuity, the derivative with application to curve sketching and maximumminimum problems, introduction to limits, and the integral. Fall and Spring. 

Prerequisite:

MATH 147 Minimum Grade: D 



MATH 193 FYS: 
3.00 credits 


Students will be able to integrate the principles of Gonzaga's mission and with their academic, personal, and spiritual aspirations. 


MATH 231 Discrete Structures 
3.00 credits 


Topics taken from sets, functions, matrices, ordered sets, partially ordered sets, directed graphs, algebraic systems, recursive definitions, and algorithms. Fall and Spring. 

Prerequisite:

MATH 157 Minimum Grade: D
or MATH 148 Minimum Grade: D
or MATH 148 Minimum Grade: D 



MATH 258 CalculusAnalytic Geometry II 
4.00 credits 


Inverse functions, techniques of integration, applications of integration and series. 

Prerequisite:

MATH 157 Minimum Grade: C 



MATH 259 CalculusAnalytic Geometry III 
4.00 credits 


Parametric and polar coordinates, vectors, partial derivatives, multiple integrals. 

Prerequisite:

MATH 258 Minimum Grade: D 



MATH 260 Ordinary Differential Equation 
3.00 credits 


Solution methods for first order equations and for second and higher order linear equations. Includes series methods and solution of linear systems of differential equations. Fall and Spring. 

Prerequisite:

MATH 259 Minimum Grade: D 



MATH 290 Directed Reading 
1.00  3.00 credits 


Readings and reports in selected mathematical topics. On sufficient demand. 

Prerequisite:

MATH 157 Minimum Grade: D 



MATH 301 Fundamentals of Mathematics 
3.00 credits 


A development of standard proof techniques through examination of logic, set theory, topology of the real line, onetoone, onto, and inverse functions. Additional topics may be chosen from analysis and algebra. Fall and Spring. 

Prerequisite:

MATH 259 Minimum Grade: D 



MATH 321 Statistics for Experimentalist 
3.00 credits 


An applied statistics course for those with calculus preparation. Descriptive statistics, probability theory, discrete and continuous random variables, and methods of inferential statistics including interval estimation, hypothesis testing, and regression. Fall and Spring. 

Prerequisite:

MATH 258 Minimum Grade: D 



MATH 328 Operations Research 
3.00 credits 


Quantitative methods for application to problems from business, engineering, and the social sciences. Topics include linear and dynamic programming, transportation problems, network analysis, PERT, and game theory. Spring, even years. 

Prerequisite:

MATH 258 Minimum Grade: D 



MATH 339 Linear Algebra 
3.00 credits 


A systematic study of matrices, vector spaces, and linear transformations. Topics include systems of linear equations, determinants, dependence, bases, dimension, rank, eigenvalues and eigenvectors. Applications include geometry, calculus, and differential equations. Fall and Spring. 

Prerequisite:

MATH 259 Minimum Grade: D 



MATH 341 Modern Geometry 
3.00 credits 


Axiomatic systems for, and selected topics from, Euclidean geometry, projective geometry, and other nonEuclidean geometries. Special attention will be given to the needs of the individuals preparing to teach at the secondary level. Fall, even years. 

Prerequisite:

MATH 259 Minimum Grade: D 



MATH 350 Elementary Numerical Analysis 
3.00 credits 


An introduction to numerical analysis: root finding, interpolation, numerical integration and differentiation, finite differences, numerical solution to initial value problems, and applications on a digital computer. Spring, odd years. 

Prerequisite:

MATH 258 Minimum Grade: D 



MATH 351 Combinatorics and Graph Theory 
3.00 credits 


An introduction to combinatorics and graph theory with topics taken from counting techniques, generating functions, combinatorial designs and codes, matchings, directed graphs, paths, circuits, connectivity, trees, planarity, and colorings. Fall, odd years. 

Prerequisite:

MATH 231 Minimum Grade: D
or MATH 301 Minimum Grade: D 



MATH 360 Selected Topics 
1.00  3.00 credits 


Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. On sufficient demand. 


MATH 361 Selected Topics 
1.00  3.00 credits 


Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. On sufficient demand. 


MATH 362 Selected Topics 
1.00  3.00 credits 


Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. On sufficient demand. 


MATH 363 Selected Topics 
1.00  3.00 credits 


Various areas of pure and applied mathematics presented at a level accessible to those just completing calculus. On sufficient demand. 


MATH 390 Directed Study 
1.00  3.00 credits 


Topic to be decided by faculty. 


MATH 413 Real Analysis I 
3.00 credits 


Topics chosen from: the axioms and topology of the real line, sequences and series of
numbers and functions, continuity and properties of continuous functions, differentiation,
Riemann integrals and generalizations, differential forms, metric spaces, and mappings
between Euclidean spaces. Fall, even years. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 414 Real Analysis II 
3.00 credits 


Continuation of Math 413 with topics based on instructor and student interest. Spring, odd years. 

Prerequisite:

MATH 413 Minimum Grade: D 



MATH 417 Complex Variables 
3.00 credits 


Complex numbers and functions, analyticity and the CauchyRiemann equations, integration, and Cauchy's theorem and formula. Other topics chosen from Taylor and Laurent series, the calculus of residues, conformal mapping, and applications. Spring, odd years. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 421 Probability Theory 
3.00 credits 


A mathematical treatment of the laws of probability with emphasis on those properties fundamental to mathematical statistics. General probability spaces, combinatorial analysis, random variables, conditional probability, moment generating functions, Bayes' law, distribution theory, and law of large numbers. Fall, odd years. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 422 Mathematical Statistics 
3.00 credits 


An examination of the mathematical principles underlying the basic statistical inference techniques of estimation, hypothesis testing, regression and correlation, nonparametric statistics, analysis of variance. Spring, even years. 

Prerequisite:

MATH 421 Minimum Grade: D 



MATH 437 Abstract Algebra I 
3.00 credits 


A detailed examination of topics chosen from groups, rings, integral domains, Euclidean domains, unique factorization, fields, Galois theory, and solvability by radicals. Fall, odd years. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 438 Abstract Algebra II 
3.00 credits 


Continuation of MATH 437. Spring, even years. 

Prerequisite:

MATH 437 Minimum Grade: D 



MATH 450 Selected Topics 
1.00  3.00 credits 


Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement. On sufficient demand. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 451 Special Topics 
1.00  3.00 credits 


Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement. On sufficient demand. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 452 Selected Topics 
1.00  3.00 credits 


Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement. On sufficient demand. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 453 Selected Topic 
1.00  3.00 credits 


Possible topics include combinatorics, topology, number theory, advanced numerical analysis, advanced linear algebra, theory of computation and complexity, and history of mathematics. Credit by arrangement. On sufficient demand. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 454 Partial Differential Equations 
3.00 credits 


Derivation of the wave, heat, and Laplace’s equations, separation of variables, SturmLiouville problems, sets of orthogonal functions, Fourier series, solutions of boundary value problems, Laplace transforms, and numerical methods. Spring, even years. 

Prerequisite:

MATH 301 Minimum Grade: D
or (MATH 231 Minimum Grade: D
and MATH 259 Minimum Grade: D) 



MATH 457 Number Theory & Cryptography 
3.00 credits 


Elementary number theory topics including modular arithmetic, Diophantine equations, multiplicative functions, factorization techniques, primality testing, and development of the public key code. Fall, even years. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 459 Topology 
3.00 credits 


Topics selected from the following: Metric spaces, manifolds, general topological spaces. Sequences, continuous functions, homeomorphisms. The separation axioms, connectedness, compactness. The theory of surfaces. Knot theory. Topics from combinatorial topology, algebraic topology, differential topology. Other topics to be determined by the instructor. Fall, even years. 

Prerequisite:

MATH 301 Minimum Grade: D 



MATH 490 Directed Reading 
.00  4.00 credits 


Selected topics in mathematics. 


MATH 497 Mathematics Internship 
.00  6.00 credits 


Special program for mathematics majors. 


MATH 499 Comprehensive 
1.00 credit 


Preparation for and writing of the Educational Testing Service's Major Field Test in mathematics. Required of all Mathematics and MathematicsComputer Science majors in their final year. Fall. 



