Explores inequalities and algebraic functions, including linear, quadratic, polynomial, rational, exponential, and logarithmic.

Explores algebraic, circular and trigonometric equations and identities; and inequalities.

An applications-oriented course with an intuitive approach, including introduction to both differential and integral calculus. Examples drawn from business, economics, biology, and the social and behavioral sciences. This course is not the prerequisite for 1235, nor can credit be received if 1234 or its equivalent has been taken.

First course in calculus, emphasizing limits and derivatives of functions of one variable. Typically offered: Autumn and Winter Quarter.

Second course in calculus, emphasizing integral calculus of functions of one variable.

Third course in calculus. Includes parametric equations, polar coordinates, vectors, sequences, series, and Taylor expansions. Introduces multivariable calculus, including partial derivatives, double integrals, and triple integrals.

A course in statistical literacy emphasizing concepts and reasoning rather than in-depth coverage of traditional methods and formulas. Topics include data sources and sampling, strengths and limitations of basic experimental design, graphical and numerical summaries of data, and conceptual coverage of probability and statistical inference.

Explores topics that illustrate how mathematical methods and models permeate our economic, political, and personal lives. By investigation of diverse applications, a variety of problem-solving techniques will be introduced, including using the computer as a tool.

The first in a three-course sequence, this course is a study of numerical reasoning through in-depth explorations of numeration systems, numerical properties and operations, concepts in number theory, and related topics in the history of mathematics. There is an emphasis on problem solving, standards of mathematical practice, and use of appropriate technologies such as calculators and interactive software. The content preparation for teaching K-8 mathematics based on the Common Core State Standards is stressed.

Explores set theory, number systems, logic, proof techniques, basics of counting, discrete probability, networks, digital logic, and digital systems.

Introduces students to concepts of probability and statistics along with methodology for applying these to engineering applications.

Introduction to the practice of statistics with applications to the sciences. Topics include graphical and numerical summaries of data, probability, estimation, hypothesis testing, linear regression, and one-way analysis of variance. Emphasis on applications, statistical reasoning, and data analysis using statistical software.

Studies vector spaces, matrices, and linear transformations.

The second in a three-course sequence, this course is a study of both algebraic and statistical reasoning through in-depth explorations of data, patterns, and related topics in the history of mathematics. There is an emphasis on problem solving, standards of mathematical practice, and use of appropriate technologies such as calculators and interactive software. The content preparation for teaching K-8 mathematics based on the Common Core State Standards is stressed.

Varied special topics in mathematics. See current Time Schedule for topic. Typically offered: Occasionally.

An introduction to methods for writing rigorous mathematical proofs. Topics include formal logic, set theory, mathematical induction, functions, relations, number systems, and cardinality. Additional topics may be selected by the instructor.

Studies general solutions of first and second order differential equations, Laplace transforms, and series solutions.

Additional study of multivariable and vector calculus, including vector-valued functions, vector fields, line integrals, surface integrals, Green's Theorem, Stoke's Theorem, and the Divergence Theorem.

A second course in applied statistics. This course builds on an introductory statistics course, providing students tools to perform more complex data analysis. Topics include linear and nonlinear regression, multiple regression, and analysis of variance. Statistical software will be used extensively. Typically offered: Alternate Years.

Calculus based introduction to probability and statistics. Studies elementary probability, discrete and continuous probability distributions, expectation, moments, sampling distributions, central limit theorem, estimation, and hypothesis testing.

An introduction to data science using R. This course provides an overview of concepts, skills, and technologies used for working with large, complex, and messy datasets. Provides an introduction to the full data workflow, from data acquisition and cleaning to exploration, analysis, visualization, and communication of final results. Explores ethical and social considerations inherent in working with "big data," including privacy, design, reproducibility, and bias. Using real-world datasets, students will explore, visualize, and pose questions about data.

Studies topics of classical number theory including divisibility, primes and congruences. Typically offered: Autumn, Alternate Years.

The third in a three-course sequence, this course is a study of geometric reasoning with emphasis on depth of understanding and appropriate use of calculators and computer software. Investigations of mathematical topics include two- and three-dimensional geometry, measurement, proof appropriate for K-8 teachers, and associated history of mathematics. Common Core State Standards-based content preparation for teaching K-8 mathematics.

Studies Fourier series, heat, wave, and Laplace's equations, separation of variables, and boundary value problems. Typically offered: Alternate Years.

Studies theory and applications of complex variables; analytic functions, integrals, and power series applications. Typically offered: Alternate Years.

Uses the axiomatic method to prove basic results from set theory and real analysis. Topics include functions, set cardinality, the real number system, and the topology of the real line.

Studies in greater depth continuous and discrete probability distributions, moment generating functions, probability-generating functions, transformations, and multivariate probability distributions. Typically offered: Alternate Years.

Studies algebraic structures, including groups, rings, and fields.

Studies numerical integration, differentiation, solutions of systems of equations, and related topics. Typically offered: Alternate Years.

Focuses on construction and analysis of mathematical models for problems in the real world. The problems will be chosen from a variety of fields, including the biological and social sciences. Typically offered: Alternate Years.

This senior capstone course will explore the culture of mathematics through readings and classroom discussions. Students will reflect on and synthesize mathematical ideas within the context of a Christian worldview. Students are expected to have at least 9 UD credits of MAT courses prior to registering for Math Senior Capstone. Typically offered: Autumn.

This senior capstone course will explore the culture of mathematics through readings and classroom discussions during the Autumn Quarter. Students will synthesize mathematical ideas within the context of a Christian worldview. The student will complete a substantial mathematical project and make an oral presentation within the following two quarters. Students are expected to have at least 9 UD credits of MAT courses prior to registering for Math Senior Capstone.

Individual project, library research, or laboratory research. A final written report or public presentation, such as at an undergraduate conference, of results is required.

Prerequisites: 6 credits in upper-division mathematics.

Investigates topics of current interest through student reports.

Students will represent SPU in COMAP's Mathematical Contest in Modeling. Typically offered: Winter.

Practical experience in a supervised educational setting.

Provides a significant learning experience to be obtained in a closely supervised work-study program.

Special Topics

The student will conduct research under the supervision of a mathematics faculty member. A final written report or public presentation, such as at an undergraduate conference, is required.