For a complete description of all UA mathematics courses, see UA General Catalog MATH courses.
For a listing of all UA Colleges & Schools, see UA Colleges.
All UA undergraduate degrees carry general education mathematics requirements, which are usually met using courses from the Mathematics Department (listed below), but can also be met using certain courses from other departments (also listed below). In other words, the courses listed on this page are the ones that can be used towards graduation. Information about the typical use for each course is included under the comments. This information should be used only as a guideline and should not replace the valuable information provided by academic and mathematics advisors, as well as the precise requirements described in the UA General Catalog.
Before you can take one of the courses on this page, you must place into that course level (or higher). To learn more, please consult our placement process website.
MATH 105 — Mathematics in Modern Society (3 units)
Description: This course will examine how the mathematics learned in high school is applied to real life situations. Topics may include personal finance, statistics, elections, symmetry, and scheduling. Some of the applications may be how the site of the Olympic Games is chosen, why spirals occur in nature, and how statistical data is collected and how it can be used to mislead the public. The course is designed for elementary education majors, fine arts majors, humanities majors, and those social and behavioral science majors whose further courses do not require College Algebra as a prerequisite. Prerequisite(s): Acceptable score on UA Math Readiness Test. Usually offered: Fall, Spring.
Comments: Majors within the College of Fine Arts and the College of Humanities can use this course to satisfy their mathematics requirement. Some majors within the College of Social & Behavioral Science and the College of Education can also use this course. This course cannot be used as a prerequisite for any other mathematics courses except MATH 302A for Elementary Education.
MATH 109 — College Algebra with Data Analysis (4 units)
Description: College algebra course that emphasizes data analysis. Topics include functions, rates of change, linear functions, exponential & logarithmic functions, and systems of equations. Graphing calculators and spreadsheets will be used. This course may be used as a prerequisite for Math 115A, 160, 113, or 263. It is not intended for students planning to take Math 124, and it will not serve as a prerequisite for that course. Credit will be allowed for only one of the following courses: Math 109, Math 110, or Math 112. Prerequisite(s): Acceptable score on UA Math Readiness Test.
Comments: Majors that accept MATH 110 (College Algebra) for their math requirement will accept MATH 109. This course is designed for students in Eller College and those majors that eventually require statistics. Students who choose a major in the College of Science, College of Engineering, Architecture and some majors within the College of Agriculture and Life Sciences should take MATH 110 instead.
MATH 110 — College Algebra (4 units)
Description: Topics include properties of functions and graphs, linear and quadratic equations, polynomial functions, rational functions, exponential and logarithmic functions with applications, sequences and series. Course includes an integrated review of important concepts in intermediate algebra. Students are expected to have a graphing calculator. Credit will be allowed for only one of the following courses: MATH 109, MATH 110, or MATH 112. Registration in MATH courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Math Readiness Test. Credit will not be given for this course if the student has credit in a higher level math course; these students will be dropped from the course. Students with unusual circumstances can petition the Mathematics Department for exemption from this rule. This policy does not infringe on the student's rights granted by the university policy on repeating a course. Prerequisite(s): An acceptable score on UA Math Readiness Test. Usually offered: Fall, Spring.
Comments: Typically, this course is used to prepare students for additional mathematics courses (for example: MATH 113). But there are students who take this course to satisfy part of their requirement (for example: pre-nursing, pre-architecture). Majors that require MATH 105 will also accept MATH 110.
MATH 111 — Plane Trigonometry (2 units)
Description: Topics include right triangle trigonometry, trigonometric functions and graphs, trig identities, inverse trig functions, law of sines, and law of cosines. Students are expected to have a graphing calculator. Not applicable to the mathematics major or minor. Students with credit in MATH 120R or MATH 120S obtain one unit of graduation credit for MATH 111. Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Math Readiness Test. Credit will not be given for this course if the student has credit in a higher level math course; these students will be dropped from the course. Students with unusual circumstances can petition the Mathematics Department for exemption from this rule. This policy does not infringe on the student's rights granted by the university policy on repeating a course. Prerequisite(s): An acceptable score on the UA Math Readiness Test. Usually offered: Fall, Spring.
Comments: Typically, this course is used to prepare students for additional mathematics courses. Pre-architecture students usually satisfy their mathematics requirements by completing both MATH 110 and MATH 111. MATH 111 cannot be used to satisfy a UA mathematics requirement alone because it is only 2 credits. Students who place at this level must complete both MATH 110 and 111 if they plan to continue on to Calculus, MATH 124.
MATH 112 — College Algebra Accelerated (3 units)
Description: An accelerated version of Math 110. Topics include properties of functions and graphs, linear and quadratic equations, polynomial functions, exponential and logarithmic functions with applications. Students are expected to have a graphing calculator. MATH 112 may be substituted for MATH 110 in any university requirement or prerequisite. Credit allowed for only one of the following courses: MATH 109, MATH 110, or MATH 112 Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Math Readiness Test. Credit will not be given for this course if the student has credit in a higher level math course; these students will be dropped from the course. Students with unusual circumstances can petition the Mathematics Department for exemption from this rule. This policy does not infringe on the student's rights granted by the university policy on repeating a course. Credit allowed for only one of the following courses: MATH 109, MATH 110 or MATH 112. Prerequisite(s): Acceptable score on the UA Math Readiness Test. Credit allowed for only one of the following courses: MATH109, MATH 110 or MATH 112. Usually offered: Fall, Spring.
Comments: Placement for this course is at a higher level than for MATH 110. Students who place at levels above college algebra but prefer to take a college algebra course are encouraged to register for MATH 112 instead of MATH 110. This course will serve the same function as MATH 110 in terms of requirements and as a prerequisite to further courses.
MATH 113 — Elements of Calculus (3 units)
Description: Introductory topics in differential and integral calculus. Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Math Readiness Test. Formerly MATH 123. Prerequisite(s): MATH 109/110/112 or acceptable score on UA Math Readiness Test. Credit allowed for only one of the following courses: MATH 113, MATH 124, or MATH 125. Usually offered: Fall, Spring.
Comments: Pre-pharmacy students, some majors within the College of Agriculture, and some majors within the College of Social and Behavioral Science require this course. Because this course is considered a survey of calculus, it cannot be used to satisfy the MATH 124 requirement and cannot be used as a prerequisite to additional calculus courses such as MATH 129. Students who want to take a course that prepares them for Calculus, MATH 124, should consider MATH 120R instead.
MATH 115A — Business Mathematics I (3 units)
Description: Probability, conditional probability, Bayes' Theorem, random variables, random sampling, compound interest, expected value, computer simulation, and spreadsheet functions. The course is based on an electronic text, with extensive use of spreadsheets, downloaded data, and team reports on major business projects. Prerequisite(s): MATH 109, MATH 110, MATH 112 or an acceptable score on the UA Math Readiness Test, BNAD 112L. Usually offered: Fall, Spring.
Comments: All majors within Eller College are required to complete the two semester sequence of MATH 115A and 115B. Additional prerequisites of MIS 111 and B AD 112L are required along with mathematics eligibility for MATH 115A. Students with college credits for calculus (by Advanced Placement exam or college course) will receive elective credit for calculus. In other words, completion of calculus does not waive the MATH 115A/115B requirement.
MATH 120R — Calculus Preparation (4 units)
Description: Review of algebra and trigonometry; study of functions including polynomial, rational, exponential, logarithmic and trigonometric. For students who have high school credit in college algebra and trigonometry but have not attained a sufficient score on the UA Math Readiness Test to enter calculus. Students with credit in both MATH 110/112 and MATH 111 receive no credit for MATH 120R. Students with credit in MATH 111, but not MATH 110/112, receive three units of graduation credit for MATH 120R. Students with credit in MATH 110/112 but not MATH 111, will receive one unit of graduation credit for MATH 120R. Graphing calculators are required in this course. Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Math Readiness Test. Credit will not be given for this course if the student has credit in a higher level math course; these students will be dropped from the course. Students with unusual circumstances can petition the Mathematics Department for exemption from this rule. This policy does not infringe on the student's rights granted by the university policy on repeating a course. Prerequisite(s): Acceptable score on UA Math Readiness Test. Usually offered: Fall, Spring.
Comments: This course is intended to prepare students for MATH 124. Although this course is not specifically listed as a mathematics requirement for any major, majors that only require courses such as MATH 105 or MATH 110 can accept this course. Students who complete both MATH 110 and 111 do not need to take this course in order to move on to MATH 124.
MATH 124 — Calculus I with Applications (5 units)
Description: Introduction to calculus with an emphasis on understanding and problem solving. Concepts are presented graphically and numerically as well as algebraically. Elementary functions, their properties and uses in modeling; the key concepts of derivative and definite integral; techniques of differentiation, using the derivative to understand the behavior of functions; applications to optimization problems in physics, biology and economics. A graphing calculator is required in this course. Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Math Readiness Test. Credit will not be given for this course if the student has credit in a higher level math course; these students will be dropped from the course. Students with unusual circumstances can petition the Mathematics Department for exemption from this rule. This policy does not infringe on the student's rights granted by the university policy on repeating a course. Prerequisite(s): MATH 120R, or MATH 110/112 and MATH 111, or an acceptable score on the UA Math Readiness Test. Credit allowed for only one of the following courses: MATH 113, MATH 124, or MATH 125. Usually offered: Fall, Spring.
Comments: This course gives students a solid foundation needed to continue on to other courses such as MATH 129. All majors within the College of Engineering and almost all majors within the College of Science require this course. Many other majors also require this course. Students can use this course to satisfy a math requirement of MATH 113 or 125. An honor's section is usually available in the fall. Placement on the MRT B determines eligibility for the honor's section of MATH 124. Participation in the Honor's College is not a requirement, however.
MATH 125 — Calculus I (3 units)
Description: An accelerated version of MATH 124. Introduction to calculus with an emphasis on understanding and problem solving. Concepts are presented graphically and numerically as well as algebraically. Elementary functions, their properties and uses in modeling; the key concepts of derivative and definite integral; techniques of differentiation, using the derivative to understand the behavior of functions; applications to optimization problems in physics, biology and economics. A graphing calculator is required for this course. Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Math Readiness Test. Credit will not be given for this course if the student has credit in a higher level math course; these students will be dropped from the course. Students with unusual circumstances can petition the Mathematics Department for exemption from this rule. This policy does not infringe on the student's rights granted by the university policy on repeating a course. Prerequisite(s): Acceptable score on UA Math Readiness Test. Credit allowed for only one of the following courses: MATH 113, MATH 124, or MATH 125. Usually offered: Fall, Spring.
Comments: Due to the accelerated nature of this course, students must place into this level on the MRT B. Any major indicating MATH 125 as its mathematics requirement will automatically accept MATH 124. Honor's sections are usually available in the fall. Placement on the MRT B determines eligibility for honor's sections. Participation in the Honor's College is not a requirement, however.
MATH 160 — Basic Statistics (3 units)
Description: Organizing data: displaying distributions, measures of center, measures of spread, scatterplots, correlation, regression, and their interpretation. Design of experiments: simple random
samples and their sampling distribution, models from probability, normal distributions, and normal approximations. Statistical inference: confidence intervals and hypothesis testing, t procedures and chi-square tests. Not intended for those who plan further studies in statistics. Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Mathematics Readiness Test. Usually offered: Fall, Spring.
Comments: This is intended as an introduction to statistics. Students who plan further studies in statistics or plan to do scientific research should consider MATH 263 instead.
MATH 263 — Introduction to Statistics and Biostatistics (3 units)
Description: Organizing data; distributions, measures of center and spread, scatterplots, nonlinear models and transformations, correlation, regression. Design of experiments: models from probability, discrete and continuous random variables, normal distributions, sampling distributions, the central limit theorem. Statistical inference; confidence intervals and test of significance, t procedures, inference for count data, two-way tables and chi-square procedures, inference for regression, analysis of variance. Registration in math courses numbered 125 or below, 160, and 263, requires all students, including transfer students with or without college level math credit, to take the UA Mathematics Readiness Test. Prerequisite(s): MATH 109/110/112 or an acceptable score on the UA Math Readiness Test. Credit allowed for only one of MATH 160 or MATH 263. Usually offered: Fall, Spring.
Comments: Students who plan further studies in statistics or plan to do scientific research should consider MATH 263 instead of MATH 160.
MATH 302A — Understanding Elementary Mathematics (A) (3 units)
Description: Development of a basis for understanding the common processes in elementary mathematics related to whole numbers, fractions, integers, and probability. Prerequisite(s): MATH 105 or MATH 109/110/112 or acceptable score on the UA Math Readiness Test. This course is for elementary education majors only. Usually offered: Fall, Spring.