Course Descriptions

A student should take MATH 090 or MATH 091 to prepare for Intermediate Algebra. Topics investigated in both MATH 090 and MATH 091 include properties and operations of the real number system, algebraic expressions, solving equalities and inequalities, graphical representation of equations, data analysis, graphs, and properties and operations of polynomials. This course does not meet the General Studies requirement in Skills and University Requirements and does not count toward total units needed for graduation. Prerequisite: appropriate score on APU mathematics placement test or SAT 430/ACT 18 math score

This course is preparation for intermediate algebra. A student should take one of MATH 090 or MATH 091. Topics investigated in both MATH 090 and MATH 091 include properties and operations of the real number system, algebraic expressions, solving equalities and inequalities, graphical representation of equations, data analysis, graphs, and properties and operations of polynomials. MATH 091 differs from 090 in that the format of 091 is computer based. This course does not meet the General Studies requirement in Skills and University Requirements and does not count toward total units needed for graduation. Prerequisite: appropriate score on APU mathematics placement test

This course presents intermediate-level algebra. A student should take one of MATH 095 or MATH 096. MATH 095 topics include linear graphs, mathematical models, systems of equation in two and three variables, multiplying and factoring polynomial functions, rational and radical expressions and functions, complex numbers, quadratic equations and functions, and mathematical modeling with quadratic functions. This course does not meet the General Studies requirement in Skills and University Requirements and does not count toward total units needed for graduation. Prerequisite: MATH 090, MATH 091, appropriate score on APU mathematics placement test, or SAT 500/ACT 20 math score

This course presents intermediate-level algebra. A student should take one of MATH 095 or MATH 096. MATH 096 topics include linear graphs, mathematical models, systems of equations in two and three variables, multiplying and factoring polynomial functions, rational and radical expressions and functions, complex numbers, quadratic equations and functions, mathematical modeling with quadratic functions. This course does not meet the General Studies requirement in Skills and University Requirements and does not count toward total units needed for graduation. Prerequisite: MATH 090, MATH 091, or appropriate score on APU mathematics placement test

This course is a study of basic college algebra, including polynomial and rational functions, inverse functions, the Fundamental Theorem of Algebra, exponential and logarithmic functions and equations, advanced graphical procedures and interpretations, linear and nonlinear systems of equations, matrix representations of systems of equations, and introductory concepts in sequence, series, and probability. Meets the General Studies requirement in Skills and University Requirements. Prerequisite: MATH 095, MATH 096, appropriate score on APU mathematics placement test, or SAT 540/ACT 23 math score

This course is an alternative to MATH 110 for the nonscience major. The material is case-study driven, including projects like obtaining auto insurance or loans, how inflation affects the economy, etc. This course includes the application of probability theory and elementary descriptive probability. Meets the General Studies requirement in Skills and University Requirements. It may not be taken by a student who has passed a more advanced mathematics course. Prerequisite: MATH 095, MATH 096, appropriate score on APU mathematics placement test, or SAT 540/ACT 23 math score

This course represents a study of the connections between contemporary mathematics and modern society. It aims to develop logical and critical reading concerning mathematical information that abounds in today's world. Areas of study include management science (e.g., networks, circuits, and planning), statistics and probability, information coding, social choices and decision making, geometric expressions and symmetry patterns, and mathematical modeling. Meets the General Studies requirement in Skills and University Requirements. Prerequisite: MATH 095, MATH 096, appropriate score on APU mathematics placement test, or SAT 540/ACT 23 math score

This course prepares students for the calculus sequence. Topics covered include number systems, analytic geometry, elementary function theory (including logarithmic and trigonometric functions), and basic proof techniques. Prerequisite: MATH 110, appropriate score on APU mathematics placement test, or SAT 600/ACT 26 math score

This calculus course is designed for students in business, biology, and other fields that require more focus on applications rather than mathematical rigor in a calculus course. Included are differentiation and integration of algebraic functions and their applications, and an introduction to exponential and logarithmic functions. Prerequisite: MATH 110 or equivalent

Topics introduced in MATH 151 are further developed. Functional forms (exponential, logarithmic, periodic, logistic, surge) and their applications to real-world problems are explored, techniques for differentiation and integration examined, and functions of several variables studied. Concepts and applications of probability and statistics are also introduced. Math concepts are studied with a project approach and appropriate use of technology. Prerequisite: MATH 151

This course is an introduction to the basic techniques of calculus of one variable, including limits and continuity, differentiation and integration, and graphing and applications. Prerequisite: MATH 150 or appropriate score on APU mathematics placement test

This course is an introduction to the basic techniques and applications of calculus of one variable, including methods of integration, analytic geometry, differential equations, and infinite series. Prerequisite: MATH 161 or equivalent

The course provides the foundations of modern mathematics needed by the elementary school teacher. It is not a methods course, but a prerequisite to the multiple-subject teaching credential program. This course does not count toward a mathematics major or minor. Prerequisite: MATH 110 or equivalent

The differential and integral calculus of Euclidean 2- and 3-space are developed in this course. The treatment of real-valued functions of two or more real variables and their partial derivatives are also included. Functions that associate vectors with real numbers are studied. Applications to geometry, physics, and engineering are covered. The course provides a brief study of both double and triple integrals for functions of two or three variables. A laboratory approach is used in graphing 2- and 3-space group activities and projects. Prerequisite: MATH 162

Students are introduced to differential equations, existence and structures of solutions, and applications to physical situations. A computer laboratory approach is used. Prerequisite: MATH 263 or instructor permission

Finite mathematical systems are the focus of the course. Topics include sets, mathematical mappings, graphs, trees, circuit analysis, Boolean algebra, symbolic logic, linear programming, and other algebraic systems. Prerequisite: MATH 161 or instructor's permission

Matrices and linear transformations and their generalizations in vector space theory are covered. Prerequisite: MATH 161 or instructor's permission

A survey of foundations of mathematics essential to the secondary school teacher, this course integrates secondary mathematics concepts with problem-solving strategies and technology. Students expand on their understanding of core math concepts, evaluate lesson plans used in secondary school mathematics, discuss and reflect on effective mathematics pedagogy, analyze readings in the field, engage in collegial interactions with the instructor and fellow students, and develop a repertoire of classroom-tested lessons that can be used in a high school classroom.

This course provides a study of Euclidean and non-Euclidean geometry. Also covered are the history of geometry, hyperbolic geometry, space, proof, and logic reasoning. Prerequisite: MATH 162 or instructor's permission

Students gain an introduction to the basic ideas and techniques of probability: counting methods, combinatorics, statistical methods, binomial and normal distributions, moments, correlations, Central Limit Theorem, and hypothesis testing. Prerequisite: MATH 162 or instructor's permission

The history of mathematics and number theory from ancient times to the present is covered through methods and concepts, including theorems of Format, Euler, divisibility, factorization, primes, congruencies, diophantine problems, and other topics. Prerequisite: upper-division class standing

The abstract structure of algebraic systems such as semi-groups, groups, rings, integral domains, and fields are introduced. Prerequisite: MATH 290 or instructor's permission

Students apply mathematics to physical problems: special functions, Green's functions and boundary-value problems, tensor analysis, Fourier series, generalized coordinates, and calculus of variations. The course may be applied toward upper-division physics or mathematics major requirements. Prerequisites: MATH 263 and MATH 270

This course offers an advanced study of the real-number system, functions, sequences, series, continuity, differentiation, and integration. Prerequisite: MATH 162

Approximation methods and their applications to computers are covered, including error analysis, zeros of functions, systems of equations, numerical integration, and differentiation. Applications are programmed using an appropriate language. Prerequisite: CS 220 and MATH 161

Students explore the structure of complex numbers and their functions, differentiation and integration of complex functions, and Cauchy's Theorem. Prerequisite: MATH 162

This course includes a variety of material from topology to statistics, from history to diversity, from writing to research. A seminar approach allows students to critically analyze journal articles in the field, write research and argumentative papers, receive writing instruction, and develop effective mathematical presentations. Meets the General Studies Upper-division Writing Intensive requirement. Prerequisite: upper-division class standing

This senior seminar course prepares students to understand and express a Christian perspective on issues critical to the mathematics profession. Biblical, theological, and philosophical themes relating to the development and application of mathematics provide a base, while historical biographies and examples supply a context in which students generate a distinctively Christian response to contemporary problems facing a postmodern world. Meets the General Studies Senior Seminar requirement.

Prerequisites: A student intending to register for Senior Seminar must meet the following prerequisites.

1. Completion of a minimum of 90 units
2. Completion of the Upper-division Writing Intensive requirement
3. Completion of God’s Word and the Christian Response units, according to the following:

• For students transferring in 0–27 units: 9 units of God’s Word and the Christian Response
• For students transferring in 28–59 units: 6 units of God’s Word and the Christian Response
• For students transferring in 60 or more units: 3 units of God’s Word and the Christian Response

This is a program of study concentrating on assigned readings, discussions, and writing arranged between and designed by a student of upper-division standing and a full-time professor. An independent study fee is assessed for each enrollment in this class.

This course provides instruction in research design and technique, and gives students experience in the research process. The 1-unit expectation encompasses no fewer than 30 hours of work with accompanying reading, log, writing, and seminar presentation within the department or in a university research symposium. No more than 1 unit may be used to fulfill the preparatory readings requirement. An independent study fee is assessed for each enrollment in this class. Prerequisite: junior or senior standing

This is a senior-level "capstone" type of independent study/research experience, involving the student in a unique project with a sophisticated level of research, synthesis, analysis, and communication. The 1-unit expectation encompasses no fewer than 30 hours of work with accompanying readings, log, instructor discussions, and writing of summary analysis and conclusions. The thesis or project may result in formal thesis, published article, or electronic media. No more than 1 unit may be used to fulfill the preparatory readings requirement. An independent study fee is assessed for each enrollment in this class. Prerequisites: Upper-division Writing Intensive course completed or instructor's permission, and junior or senior standing