School of Arts and Sciences
Course Listings for Mathematics

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Mathematics Examination and Placement Policy

Placement into mathematics courses at FLC is based on standardized test scores and high school records. Students without scores or transfer credit should take a placement exam during their initial advising session. This will be administered by the New Student Advising and Registration Office. Students who believe their placement is inappropriate are encouraged to take a challenge exam, which will be given the week before classes start and again during the first week of class.

A prerequisite course must be completed with a grade of C- or better, or the student must have the consent of the instructor to take the course. Students will not receive credit for a mathematics course that is a prerequisite for a previously completed course.

Most mathematics courses require the student to have a graphing calculator. For advice on which model to buy, contact the course instructor or the Chair of the Department. At the present, the TI-83 is commonly used.

Math 110Q College Algebra (4-0) 4

This course covers the topics in algebra necessary for students who plan to enroll in Math 210Q Calculus for Business and the Biological Sciences or Math 121Q Precalculus. The use of technology to aid in problem solving is an integral part of the course. Specific topics covered are simplification of algebraic expressions, complex numbers, solutions of equations (including systems of linear equations) and inequalities, and functions, including polynomial, root, rational, exponential, and logarithmic. Fall, winter, and summer terms.

Prerequisites: Placement into Math 110Q or completion of TRS 92 with a grade of C- or better.

Math 121Q Pre-Calculus (4-0) 4

This course covers the topics in algebra and trigonometry necessary for students who plan on enrolling in Math 221Q Calculus I. Technological methods, in addition to symbolic methods, are essential in solving problems. The course will include an in-depth analysis of the topics covered in Math 110Q, with additional emphasis on symbolic methods. In addition, other topics include trigonometric functions, vectors, polar coordinates, parametric equations, and the conic sections. The concept of function, with its multiple representations, will be emphasized. Fall, winter, and summer.

Prerequisites: Placement into Math 121Q or completion of Math 110Q with a grade of C- or better.

Math 130Q Mathematics For Liberal Arts (3-0) 3

This course contains an introductory survey of a variety of topics such as theory and history of mathematics, logic, problem solving, number theory, consumer applications, and probability. Fall and winter terms.

Prerequisites: 19 on Math ACT or completion of TRS 92 with a grade of C- or better.

Math 135Q Mathematical Concepts (3-0) 3

Students develop familiarity with concepts of number and measurement, both exact and approximate; number sense; patterns and representations of numbers, including estimations of solutions; geometric figures; functions and connections between variables using algebraic, tabular, and graphical representations; probability and statistical relations, with elementary analysis of data.

Prerequisites: 19 on Math ACT or completion of TRS 92 with a grade of C- or better.

Math 201Q Elementary Statistics (4-0) 4

An introduction to basic ideas in statistics including descriptive statistics, measure of central tendency and dispersion, probability, sampling distributions, estimation, hypothesis testing, regression and correlation, and statistical software application. Credit will be given for only one of BA 253Q, Psyc 241Q, or Math 201Q. Fall and winter terms.

Prerequisites: Completion of Math 110Q with a grade of C- or better or consent of instructor.

Math 210Q Calculus For Business And The Biological Sciences (4-0) 4

An introductory calculus course intended for students majoring in business administration, economics, or the biological sciences. Topics include limits, differential and integral calculus of one variable, and an introduction to calculus of two variables. Fall and winter terms.

Prerequisites: Placement into Math 210Q or completion of Math 110Q with a grade of C- or better.

Math 215Q Mathematics For The Elementary School Teacher (2-2) 3

This course is designed primarily for the elementary school teacher. It includes a study of sets, set operations, construction of numeration systems, whole and integer and rational number arithmetic, ratio and proportion, decimals, percent, selected topics in geometry, the metric system, and an introduction to the real number system. Fall, winter, and summer terms.

Prerequisites: 19 on Math ACT or completion of TRS 92 with a grade of C- or better; and completion of, or concurrent enrollment in, Ed 200.

Math 221Q Calculus I (4-0) 4

Limits, continuity, derivatives and integrals of functions of one variable including polynomial, root, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Applications of Calculus are included. Fall and winter terms.

Prerequisites: Placement into Math 221Q or completion of Math 121Q with a grade of C- or better.

Math 222Q Calculus II (4-0) 4

A continuation of Math 221Q. Techniques and applications of integration, introduction to differential equations and applications, sequences and series, applications using polar and parametric coordinate systems.

Prerequisites: Completion of Math 221 with a grade of C- or better.

Math 223Q Calculus III (4-0) 4

Vectors and multivariable calculus with applications. Fall and winter terms. Prerequisites: Completion of Math 222Q with a grade of C- or better.

Math 300W Writing In Mathematics (3-0) 3

Writing and interpretation associated with problem statements and solutions, proof structures, modeling experiments, exposition and technical reports. Winter term.

Prerequisites: Completion of Math 221Q with a grade of C- or better and Comp 150 and Lib 150.

Math 301Q Foundations For Advanced Mathematics (4-0) 4

A study of mathematical systems and the forms and techniques of proofs. Included are logic, set theory, and an introduction to elementary number theory. These are studied in some depth and with careful attention to forms of proofs. This course is a prerequisite for most upper-division courses in mathematics. It is often taken concurrently with Math 222Q or 223Q. Fall term.

Prerequisites: Completion of Math 221Q with a grade of C- or better.

Math 305Q Discrete Mathematical Structures (3-2) 4

A study of sets, graphs, trees, combinatorics, probability, recursion, algorithms, mathematical reasoning and modeling computation with applications to computer science. Winter term. Prerequisites: Completion of Math 221Q or Math 210Q, and CSIS 110 with a grade of C- or better; or consent of instructor.

Math 310Q Methods Of Teaching Mathematics In The Secondary School (3-0) 3

This course is for students who are planning to be secondary of middle school teachers. It will include concepts from discrete math, geometry, algebra, and data collection and analysis. It will include uses of technology, in particular the graphing calculator and software used in geometric investigations. Prerequisites: Acceptance into teacher education program.

Math 311Q Matrices And Linear Algebra (4-0) 4

A study of the properties and applications of matrices, including systems of equations, determinants, similarity, and eigenvalues. An introduction to the theory of vector spaces and linear transformations. Fall term.

Prerequisites: Completion of Math 221Q with a grade of C- or better.

Math 315Q Real Numbers And Geometry (3-0) 3

This course is intended for those seeking teacher certification at the elementary or junior high school level. Topics will include real numbers, points, lines, planes, the continuum, the role of axioms and proof, and the basic concepts of Euclidean geometry. Fall term of odd-numbered years.

Prerequisites: Completion of Math 215Q with a grade of C- or better.

Math 316Q Topics In Number Theory (3-0) 3

Some of the topics to be presented in this course are: modular arithmetic, finite fields, basic prime number theorems, congruences, and combinations. Winter term of even-numbered years.

Prerequisites: Completion of Math 315Q or 221Q with a grade of C- or better.

Math 318Q Mathematics For The Elementary School Teacher II (2-2) 3

A continuation of Math 215Q. Topics will include the use of calculators and computers, discrete math, data analysis, and an introduction to algebra. Winter term.

Prerequisites: Completion of Math 215Q with a grade of C- or better.

Math 320Q Numerical Analysis (3-0) 3

An introductory course in developing and using numerical techniques for solving problems in mathematics, the physical sciences, engineering, and in other quantitative fields. Topics include approximation of functions by computable functions, zeros of functions, linear algebra and matrix calculations, and difference equations. The use of the computer will be included. Fall term of odd-numbered years.

Prerequisites: Completion of Math 222Q and one of CSIS 150 or CSIS 110 with a grade of C- or better.

Math 325 History Of Mathematics (3-0) 3

The development of selected mathematical concepts will be traced from the Greek era. The course will focus on mathematical creation as a human endeavor done within a cultural context. Fall term of even-numbered years.

Prerequisites: Completion of Math 121 with a grade of C- or better.

Math 327Q Differential Equations (4-0) 4

An introduction to ordinary differential equations. Topics will include methods of solving first order nonlinear equations, basic theory and methods of solving n-th order linear equations, including infinite series methods. Further topics will include an introduction to systems of linear ordinary differential equations and the Laplace transform. Applications will be emphasized. Winter term.

Prerequisites: Completion of Math 223Q with a grade of C- or better.

Math 342Q Modern College Geometry (3-0) 3

A course in college geometry that includes topics in Euclidean and non-Euclidean geometries. Winter term of odd-numbered years.

Prerequisites: Completion of Math 301Q with a grade of C- or better.

Math 345Q Data Analysis (4-0) 4

A second course in statistics covering techniques most widely used in the sciences, including multiple regression models, analysis of variance, and non-parametric methods. Emphasis is placed on underlying assumptions, purposes, advantages and disadvantage, valid interpretation, and computer software implementation. Fall term.

Prerequisites: Completion of Math 201Q or BA 253Q or Psyc 241Q with a grade of C- or better.

Math 360Q Introduction To Operations Research (4-0) 4

Overview of optimization techniques used in operations research. Topics include linear programming, network flow, transportation problems, queuing theory, inventory models, PERT and CPM, dynamic programming, use of statistical computer packages. Winter term of odd-numbered years. (This course is the same as BA 360.)

Prerequisites: Completion of Math 210Q or 221Q and Math 201Q or BA 253 with a grade of C- or better.

Math 387Q Algebraic Structures (4-0) 4

A course in abstract algebra including topics from the theories of groups, rings, and fields. Applications will be discussed. Winter term.

Prerequisites: Completion of Math 301Q with a grade of C- or better.

Math 403Q Probability And Mathematical Statistics (4-0) 4

Topics include probability functions, conditional probability, independence, random variables, order statistics, expected values, moment generating functions, probability distributions, properties of estimators, maximum likelihood, estimation, and hypothesis testing. Winter term of even-numbered years.

Prerequisites: Completion of Math 201Q with a grade of C- or better; and completion of, or concurrent enrollment in, Math 222Q.

Math 424Q Advanced Calculus (4-0) 4

Topics include structure of the real number system and Euclidean spaces, general theory of limits, continuity, derivatives, Riemann integrals, series and sequences, coordinate systems transformations, physical fields, Divergence and Stokes theorem. Fall term.

Prerequisites: Completion of Math 223Q and Math 301Q with a grade of C- or better.

Math 430Q Complex Variables (3-0) 3

This course will cover topics in complex numbers, analytic functions, elementary functions and associated mappings, integrals, series, residues and poles, and conformal mappings. Fall term of even-numbered years.

Prerequisites: Completion of Math 223Q with a grade of C- or better.

Math 496 Mathematics Senior Seminar (3-0) 3

Advanced study and research in selected topics. Will include written and oral presentations of a project involving library research. Activities relate to various mathematical careers and students participate in seminars given by visiting mathematicians. Winter term.

Prerequisites: Senior standing.

Math 497 Mathematics Education Senior Seminar (3-0) 3

Advanced study and research in selected topics. Will include written and oral presentations of a project involving library research. Activities relate to career in mathematics education. Winter term. Prerequisites: Senior or junior standing and enrollment in a program of teacher certification. Math 499 Independent Study 1-6 Individual research conducted under the supervision of a faculty member. Written and oral presentation of research results required if this course is used to satisfy the Math 496/497 graduation requirement. On demand.

Prerequisites: Consent of instructor.