Course Information

​Course Number ​Title ​GE
MATH101 Fundamentals of Mathematics
This course covers introductory algebra. Topics include linear equations, polynomials, factoring, quadratic equations, straight line graphing, and problem solving. Grades assigned for this course include the 12-point grading scale and the addition of an "NC" grade. "NC" stands for no credit and it doesn't affect the GPA. Students receiving an "NC" will need to repeat the course successfully to meet their prerequisites for other higher-level classes. ("NC" may not be available in all off-campus programs due to state rulings on repeating courses). This is a developmental course.
MATH110 Intermediate Mathematics
Prerequisite: MATH 101, "B" or better in one year of high school algebra, "B" or better in two yeas of integrated mathematics, or permission of the instructor. Topics include polynomials, rational expressions, inequalities, introduction to functions, graphing of linear and nonlinear equations and inequalities, systems of equations, and radicals.
MATH123 Elementary Statistics Y
Prerequisite: MATH 101 or approved score on mathematics placement exam This is a first course in the study of descriptive and inferential statistics utilizing only rudimentary skills of arithmetic and algebra. Elementary probability, measures of central tendency, measures of variability, confidence intervals, and hypothesis testing.
MATH132 Applied Mathematical Analysis Y
Prerequisite: MATH 110 or approved score on mathematics placement exam This course provides an introduction to finite mathematics and mathematical analysis. Topics include matrices, linear programming, math of finance, algebraic functions, and logic. A graphing calculator is required.
MATH133 Applied Calculus Y
Prerequisite: MATH 132 or 140 or approved score on mathematics placement exam The course content consists of a survey of differential and integral calculus of algebraic functions with an emphasis on applications in business and economics. A graphing calculator is required.
MATH138 College Algebra Y
Prerequisite: MATH 110 or approved score on mathematics placement exam This is a pre-calculus course emphasizing the function concept. It includes a study of the properties and applications of algebraic, experiential, and logarithmic functions. Other topics include graphing techniques and complex numbers. A graphic calculator is required.
MATH139 Trigonometry Y
Prerequisite: MATH 138 or approved score on mathematics placement exam This is a pre-calculus course emphasizing the function concept. It includes a study of the properties and applications of trigonometic functions. Other topices include trigonometic identities, vectors, and polar coordinates. A graphic calculator is required.
MATH140 Precalculus Y
Prerequisite: B+ or higher in MATH 110 or approved score on mathematics placement exam This is a pre-calculus course emphasizing the function concept and trigonometry. It includes a study of the algebraic, exponential, logarithmic, and trigonometric functions. Other topics include graphing techniques, trigonometric identities, and complex numbers. A graphing calculator is required.
MATH141 Calculus I Y
Prerequisite: MATH 139 or 140 or approved score on mathematics placement exam This course is an introduction to a graphical, numerical, and symbolic approach to differential and integral calculus of one variable. Topics cover the rate of change of a function, limits, continuity, rules of differentiation, and definite and indefinite integrals. Applications to the study of motion, optimization, and related concepts in other areas of the natural and social sciences are included. A graphing calculator is required.
MATH142 Calculus II
Prerequisite: MATH 141. A continuation of MATH 141, this course includes a study of the techniques and applications of integral calculus. Topics include calculus of transcendental functions (logarithmic, exponential, and inverse trigonometric functions), techniques of integration, sequences, series, parametric equations, and polar equations of curves. A graphing calculator is required and projects that require use of computer algebra systems (Maple) are included.
MATH223 Applied Stat and Data Analysis Y
Prerequisite: MATH 133 or MATH 141 This course in applied statistics provides a broad and practical overview of the statistical analysis methods used by researchers today to design experiments and collect, summarize, analyze, and draw conclusions from research data. Topics may include binomial distribution, the normal distribution, sampling distributions, confidence intervals, comparison of two independent samples, statistical principles of design, comparison of paired samples, analysis of categorical data, comparing the means of many independent samples, ANOVAs, single and multiple regression, and correlation, as well as parametric and non-parametric data analysis.
MATH250 Calculus III
Prerequisite: MATH 142. A continuation of MATH 142, this course includes an introduction to the calculus of vectors, vector-valued functions, and three-dimensional surfaces. Topics include a development of vector calculus, motion in space, functions of two or more variables and their derivatives, multiple integrals, and line and surface integrals. A graphing calculator is required and projects that require use of computer algebra systems (Maple) are included.
MATH295 Intro to Discrete Mathematics
Prerequisite: MATH 141 or permission of the instructor. This course provides a bridge to higher-level mathematics through the use of proof and the study of topics in discrete mathematics. Topics include sets, logic, theorems, proofs, proofs by induction, recurrence, permutations and combinations, order relations, matrices, and graph theory.
MATH301 Mathematics Technology
Prerequisite: MATH 133 or 142 A course designed for applied mathematicians and mathematics teachers. Mathematical problem solving and instruction will be facilitated by learning various technologies currently used in industry. Projects will be designed based on the background of the student. Technologies used in the course may include hand-held computer devices and software packages that can be used in a variety of settings that may include statistical analysis of data, geometric representations, symbolic manipulation, or measurement.
MATH302 Mathematical Intro to Cryptology
Prerequisite: MATH 132 or permission of instructor. This course offers an introduction to current cryptological practice that have mathematical content or underpinnings. Topics include ciphers and modular arithmetic, probability and expectation, the Hill cipher including matrix arithmetic, Boolean functions, computational complexity, and number theory. A graphing calculator is required.
MATH305 Math for Early Childhood Tch. I Y
Prerequisite: MATH 110 or approved score on mathematics placement exam Co-requisite: sophomore education block This course is a study of the mathematical concepts underlying mathematics. Topics include problem solving, sets, numeration systems, functions, number theory, rational and real numbers, money, and time.
MATH306 Math for Early Childhood Tch. II Y
Prerequisite: MATH 305. A continuation of MATH 305, this course covers topics including geometry, angles, measurement, statistics, probability, normal curve, and confidence intervals.
MATH310 Differential Equations
Prerequisite: MATH 142. This is a first course in differential equations, including such topics as separable variables, homogeneous equations, exact equations, integrating factors, and linear and higher order differential equations. It also includes the solution of nth order equations, and Laplace Transform solutions, and applications. This is an alternate-year course.
MATH315 Math for Middle Childhood Teach and Intervention Specialist I Y
Prerequisites: EDUC 151, 161, or SPED 134 as well as MATH 110 or approved score on mathematics placement exam This course is a study of the mathematical concepts underlying middle school mathematics. Topics include problem solving, numeration systems, functions, number theory, rational and real numbers.
MATH316 Math for Middle Childhood Teach and Intervention Specialist II Y
Prerequisite: MATH 315. A continuation of MATH 315, this course covers topics including functions and graphs, probability, statistics, geometry, measurement, calculators, and computers.
MATH320 Concepts & Foundations of Math
Prerequisite: MATH 133 or 142. This course is steeped in the history of mathematics, with emphasis on the beginnings of arithmetic, algebra, geometry, and calculus. It includes a study of number systems, sequences and patterns, the beginning of number theory, and an in-depth study of individual mathematicians.
MATH330 Mathematical Modeling
Prerequisite: MATH 142. This course provides an introduction to the mathematical modeling process and applies this process to problems that require the student to reason analytically, and relate mathematical concepts to everyday activities. Emphasis will be placed on connections of mathematics to application areas such as business, industry, economics, and physical, biological, and social sciences. Topics may include optimization techniques, deterministic and stochastic models, and simulations. This is an alternate-year course.
MATH342 Linear Algebra
Prerequisite: MATH 142, however MATH 295 is strongly recommended. This course offers a study of matrix operations, vector spaces and transformations and their applications to simultaneous linear equations and geometry. This is an alternate-year course.
MATH343 Abstract Algebra
Prerequisite: MATH 295. This course provides an introduction to algebraic structures. Equivalence relations, binary operations, isomorphisms, and homomorphisms will be studied. Binary operations and their properties in the context of groups, subgroups, rings, and fields are developed. This is an alternate- year course.
MATH345 Modern Geometry
Prerequisite: MATH 295. This course offers an introduction to classical geometry and modern systems from the viewpoint of axiomatics. Other topics include historical foundations of Euclidean and non-Euclidean geometry. This is an alternate-year course.
MATH400 Topics in Math
Prerequisite: MATH 295. This course is a flexible multiple elective as a regular offering or for independent study. Topics include advanced calculus, number theory, statistics, regression analysis, complex variables, topology, etc. This is an alternate-year course.
MATH410 Probability and Statistics Y
Prerequisites: MATH 142 and 295. This course offers a study of discrete and continuous random variables and their distribution functions. Topics will include discrete and continuous probability theory, random variables, sampling distributions, hypothesis testing and confidence intervals. A graphing calculator is required. This is an alternate-year course.
MATH420 Real Analysis
Prerequisites: MATH 142 and 295 This course in real analysis is designed specifically to present advanced calculus topics within a framework that will help students more effectively write and analyze proofs. Students will be able to gain a deeper understanding of the foundations of the real number system and its axioms. Also students will study proofs of theorems covering limits, functions, continuity, sequences, differentiation, and the Riemann integral. This is an alternate-year course.
MATH495 Directed Math Investigations
Prerequisites: MATH 142 and permission of student's research mentor The student will develop, with the aid of a research mentor selected from one of the mathematics faculty, a question to be investigated. The student will then do what is necessary to answer the question, and present the results to mathematics faculty and peers. This course is repeatable.
MATH499 Mathematics Internship
Prerequisites: 18 hours of mathematics, minimum 2.75 GPA and a minimum of 30 semester hours at The University of Findlay. This course provides guided work-study experiences. Students have the opportunity to apply their knowledge and skills in a work environment. The internship must be approved and supervised by the mathematics faculty. The student is also supervised on site by a representative of the business. Up to 12 hours of internship may count toward graduation requirements. This course is graded S/U and repeatable up to 12 semester hours.