| Fall |
MATH 105, 115, 123, 128, 140, 151, 152, 253, 317, 331, 341, 381, 433, 446, 499A |
| January Term |
MATH 107, 123, 203 |
| Spring |
MATH 105, 115, 128, 140, 151, 152, 245, 253, 321, 331, 342, 348, 351, 356, 455, 480, 499B |
| Alternate Years |
Odd Years: MATH 203, 348, 351; Even Years: MATH 342, 356 |
A grade of C or higher is required in all prerequisite courses. A placement test and background survey are required before registering for beginning mathematics courses if prerequisites have not been completed at PLU.
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
triangles. 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 – MR, NS
Concepts underlying traditional computational techniques; a
systematic analysis of arithmetic; an intuitive approach to algebra and
geometry. Intended for elementary teaching majors. Prerequisite: a
qualifying score on the math placement test or a grade of C or higher
in MATH 115. (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: Analytic Geometry and Functions – 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 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 – MR, 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 245: Discrete Structures - MR, NS
Topics 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 – MR, NS
An introduction to vectors, partial derivatives, multiple integrals, and vector analysis. Prerequisite: MATH 152. (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 – MR, NS
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 – MR, 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 – MR, 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 341: Introduction to Mathematical Statistics – MR, NS
Data description, probability, discrete and continuous random
variables, expectation, 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 341. Prerequisite: MATH 152. (4)
MATH 342: Probability and Statistical Theory – MR, NS
Continuation of MATH 341. 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 341. (4)
MATH 348: Applied Regression Analysis and ANOVA – MR, NS
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. Cross-listed with STAT 348. Prerequisite: MATH 341 or consent of instructor. (4)
MATH 351: Differential Equations – MR, 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 – MR, 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 – MR, NS
Designed to improve advanced problem solving skills. A goal is
participation in the Putnam Competition. Pass/Fail only. May be taken
more than once for credit. Prerequisite: MATH 152 or consent of instructor. (1)
MATH 411: Mathematics of Risk
Probability
models for investment instruments and portfolios will be developed.
Both analytical and computational techniques including simulation will
be employed. Topics include binomial tree pricing models and the
Cox-Ross-Rubenstein approach to the Black-Scholes option pricing
formula. Prerequisites: MATH 152, 341 and 342; ECON 101 or 301; BUSA 335; or consent of the instructor. (4)
MATH 433: Abstract Algebra – MR, NS
The algebra of axiomatically defined objects, such as groups, rings
and fields with emphasis on theory and proof. Prerequisite: 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. Cross-listed with
EDUC 446. Prerequisite: MATH 253 or 331. (4)
MATH 455: Mathematical Analysis – MR, NS
Theoretical treatment of topics introduced in elementary calculus.
Prerequisite: MATH 253, 331; 317 or 433 (with consent of instructor MATH 433 may
be taken concurrently). (4)
MATH 480: Topics in Mathematics – MR, NS
Selected topics of current interest or from: combinatorics, complex
analysis, 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. (1–4)
MATH 491: Independent Studies
Prerequisite: Consent of department chair. (1–4)
MATH 495A: Financial Mathematics Internship
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. Prerequisite: Senior (or second semester junior) math major. (1)
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. (1)
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