##### MATH 105: Mathematics of Personal Finance - MR, NS

Emphasizes financial transactions important to individuals and families: annuities, loans, insurance, interest, investment, time value of money. Prerequisite: PLU math entrance requirement. (4)

##### MATH 107: Mathematical Explorations - MR, NS

Mathematics and modern society. Emphasis on numerical and logical reasoning. Designed to increase awareness of applications of mathematics, to enhance enjoyment of and self-confidence in mathematics, and to sharpen critical thought in mathematics. Topics selected by the instructor. Prerequisite: PLU math entrance requirement. (4)

##### MATH 115: College Algebra and Trigonometry - MR, NS

A review of algebra emphasizing problem solving skills. The notion of function is introduced via examples from polynomial, rational, trigonometric, logarithmic and exponential functions. We also explore inverse trigonometric functions, identities, graphing and solution of triangle. Appropriate as preparation for Math 123, 128 and 140. Prerequisite: PLU math placement exam and two years of high school algebra. (4)

##### MATH 123: Modern Elementary Mathematics I: Number Sense and Algebraic Sense - MR, NS

Numeration systems and concepts underlying traditional computations. Field axioms, number theory, set theory. Patterns and variables, functions, proportionality, linear versus exponential growth. Emphasis on conceptual understanding of mathematics through problem solving, reasoning, and communication. Analyzing children's problem solving strategies. Intended for elementary teaching majors. Prerequisites: A qualifying score on the math placement test or a grade of C or higher in MATH 115. (4)

##### MATH 124: Modern Elementary Mathematics II: Measurement, Geometric Sense, Statistics and Probability - MR, NS

The units, systems and processes of measurement. Classification and measurement of geometric objects. Symmetry, transformations, congruence, dilations, similar figures. Display, analysis, and interpretation of data. Basic probability. Emphasis on conceptual understanding of mathematics through problem solving, reasoning, and communication. Analyzing children's problem solving strategies. Intended for elementary teaching majors. Prerequisite: A grade of C or higher in MATH 123. (4)

##### MATH 128: Linear Models and Calculus, An Introduction - MR, NS

Matrix theory, linear programming, and introduction to calculus. Concepts developed stressing applications, particularly to business. Prerequisites: Two years of high school algebra or MATH 115. Cannot be taken for credit if MATH 151 (or the equivalent) has been previously taken with a grade of C or higher. (4)

##### MATH 140: Precalculus - MR, NS

Different types of functions, their properties and graphs, especially trigonometric functions. Algebraic skill, problem solving, and mathematical writing are emphasized. Prepares students for calculus. Prerequisites: MATH 115 or equivalent high school material. (4)

##### MATH 145: Statistics for Biologists - MR, NS

An introduction to statistics with a focus on topics and data relevant to biologists. Descriptive statistics and data representations, correlation and regression, experimental design, basic probability, binomial and normal distributions, confidence intervals, hypothesis testing, chi-squared test, ANOVA. Cross-listed with STAT 145. Prerequisite: MATH 140 or proficiency through MATH 140 as determined by the math placement exam. (4)

##### MATH 151: Introduction to Calculus - MR, NS

Functions, limits, derivatives and integrals with applications. Emphasis on derivatives. Prerequisite: Math analysis or pre-calculus in high school or MATH 140. (4)

##### MATH 152: Calculus II - MR, NS

Continuation of MATH 151. Techniques and applications of integrals, improper integrals, ordinary differential equations and power series, with applications. Prerequisite: MATH 151. (4)

##### MATH 203: History of Mathematics - NS

A study in the vast adventure of ideas that is mathematics from ancient cultures to the 20th Century. The evolution of the concepts of number, measurement, demonstration, and the various branches of mathematics in the contexts of the varied cultures in which they arose. Prerequisite: MATH 152 or consent of instructor. (4)

##### MATH 242: Introduction to Mathematical Statistics - NS

Data description, probability, discrete and continuous random variables, expectations, special distributions, statements of law of large numbers and central limit theorem, sampling distributions, theory of point estimators, confidence intervals, hypothesis tests, regression (time permitting). Cross-listed with STAT 242. Previously was MATH/STAT 341. Prerequisite: MATH 151. (4)

##### MATH 245: Discrete Structures - NS

Topics that are of relevance to computer scientists and computer engineers, including quantified logic, sets, relations, functions, recursion, combinatorics, and probability. Tools of logical reasoning, such as induction, proof by contradiction, and predicate calculus, will be taught and applied. Prerequisite: Math 152. (4)

##### MATH 253: Multivariable Calculus - NS

An introduction to vectors, partial derivatives, multiple integrals, and vector analysis. Prerequisite: MATH 152. (4)

##### MATH 287: Special Topics in Mathematics

To provide undergraduate students with new, one-time, and developing courses not yet available in the regular curriculum. The title will be listed on the student term-based record as ST: followed by the specific title designated by the academic unit. (1 to 4)

##### MATH 288: Special Topics in Mathematics

To provide undergraduate students with new, one-time, and developing courses not yet available in the regular curriculum. The title will be listed on the student term-based record as ST: followed by the specific title designated by the academic unit. (1 to 4)

##### MATH 289: Special Topics in Mathematics

To provide undergraduate students with new, one-time, and developing courses not yet available in the regular curriculum. The title will be listed on the student term-based record as ST: followed by the specific title designated by the academic unit. (1 to 4)

##### MATH 291: Directed Study

Supervised study of topics selected to meet the individual's needs or interests; primarily for students awarded advanced placement. Admission only by departmental invitation. (1 to 4)

##### MATH 317: Introduction to Proof in Mathematics

Introduces the logical methods of proof and abstraction in modern mathematics. Explores mathematical topics, including discrete mathematics, while familiarizing students with proof-related concepts such as mathematical grammar, logical equivalence, proof by contradiction, and proof by induction. Prerequisite: MATH 152. (4)

##### MATH 321: Geometry - NS

Foundations of geometry and basic theory in Euclidean, projective, and non-Euclidean geometry. Prerequisite: MATH 152 or consent of instructor. (4)

##### MATH 331: Linear Algebra - NS

Vectors and abstract vector spaces, matrices, inner product spaces, linear transformations. Proofs will be emphasized. Prerequisites: MATH 152 and one of MATH 245, 253, or 317. (4)

##### MATH 342: Probability and Statistical Theory

Continuation of MATH 242. Topics may include: joint and conditional distributions, correlation, functions of random variables, moment generating functions, inference in regression and one-way ANOVA, Bayesian and non-parametric inference, convergence of distributions. Cross-listed with STAT 342. Prerequisite: MATH 242. (4)

##### MATH 348: Applied Regression Analysis and ANOVA

Linear and multiple regression with inference and diagnostics; analysis of variance; experimental design with randomization and blocking. Substantial use of statistical software and emphasis on exploratory data analysis. Prerequisite: MATH 242 or consent of instructor. (4)

##### MATH 351: Differential Equations - NS

An introduction to differential equations emphasizing the applied aspect. First and second order differential equations, systems of differential equations, power series solutions, non-linear differential equations, numerical methods. Prerequisite: MATH 253. (4)

##### MATH 356: Numerical Analysis - NS

Numerical theory and application in the context of solutions of linear, nonlinear, and differential equations, matrix theory, interpolation, approximations, numerical differentiation and integration and Fourier transforms. Prerequisites: MATH 152 and CSCE 144. (4)

##### MATH 381: Seminar in Problem Solving

Designed to improve advanced problem solving skills for mathematical competitions, especially the Putnam Competition and the Mathematical Contest in Modeling. Pass/Fail only. May be taken more than once for credit. Prerequisite: consent of instructor. (1)

##### MATH 387: Special Topics in Mathematics

##### MATH 388: Special Topics in Mathematics

##### MATH 389: Special Topics in Mathematics

##### MATH 411: Mathematics of Risk

This non-GenEd course introduces students to the mathematics underpinning financial investment in the presence of uncertainty. Students will investigate and employ probability models to assign values to individual financial instruments and to portfolios over short and long term time frames. Both analytic solutions and numerical solutions via software will be developed. Case studies will play a role in the course. Prerequisites: MATH 152, 242 and 342; ECON 101 or 301; BUSA 335; or consent of the instructor. (4)

##### MATH 433: Abstract Algebra

The algebra of axiomatically defined objects, such as groups, rings and fields with emphasis on theory and proof. Prerequisites: MATH 317, 331. (4)

##### MATH 446: Mathematics in the Secondary School

Methods and materials in secondary school math teaching. Basic mathematical concepts; principles of number operation, relation, proof, and problem solving in the context of arithmetic, algebra, and geometry. This course includes a field experience component. Cross-listed with EDUC 446. Prerequisite: MATH 253 or 331. (4)

##### MATH 455: Mathematical Analysis

Theoretical treatment of topics introduced in elementary calculus. Prerequisites: MATH 253, 317 and 331. (4)

##### MATH 480: Topics in Mathematics

Selected topics of current interest or from: combinatorics, complex analysis, differential geometry, dynamical systems chaos and fractals, graph theory, group representations, number theory, operations research, partial differential equations, topology, transform methods, abstract algebra, analysis. May be taken more than once for credit. Prerequisites: vary depending on the topic. (1 to 4)

##### MATH 487: Special Topics in Mathematics

##### MATH 488: Special Topics in Mathematics

##### MATH 489: Special Topics in Mathematics

##### MATH 491: Independent Study

To provide individual undergraduate students with advanced study not available in the regular curriculum. The title will be listed on the student term-based record as IS: followed by the specific title designated by the student. Prerequisite: consent of department chair. (1 to 4)

##### MATH 495A: Financial Mathematics Internship - SR

A research and writing project in conjunction with a student's approved off-campus activity. An oral presentation comparable in length with those required for MATH 499 is obligatory. Prerequisites: senior (or second semester junior) financial mathematics major, and approval from the department prior to the commencement of the internship. (2 to 4)

##### MATH 499A: Capstone: Senior Seminar I - SR

Preparation for oral and written presentation of information learned in individual research under the direction of an assigned instructor. Discussion of methods for communicating mathematical knowledge. Selection of topic and initial research. With MATH 499B meets the senior seminar/project requirement. Prerequisites: MATH 331, senior (or second semester junior) standing, and permission of instructor. (2)

##### MATH 499B: Capstone: Senior Seminar II - SR

Continuation of MATH 499A with emphasis on individual research and oral and written presentation. With MATH 499A meets the senior seminar/project requirement. Prerequisite: MATH 499A. (2)