Lindenwood

Undergraduate Catalog 2014-2015


MTH - Mathematics

MTH 05100 Basic Mathematics

This is a computer-based self-paced course for students who need to review the basics of mathematics. Topics include order of algebraic operations, fractions, proportions, percents, exponents, scientific notation and calculator computations, simple graphs and diagrams, linear and quadratic equation solving, word problems. This course will not earn elective credit (thus, does not count toward the 128 hours required for graduation), nor will it satisfy the general education requirement in mathematics.

Credits

2

Offered

Fall and Spring semesters.

MTH 11000 Intermediate Algebra

This course includes the following topics: operations with real numbers, first degree equations and inequalities, operations with polynomials, factoring, operations with rational expressions, complex numbers, quadratic equations, elementary functions. Only students who are planning to pursue a degree requiring College Algebra, and who require remedial work beforehand should enroll in this course. Lab fee required. Counts for elective credit; will not satisfy the general education requirement in mathematics.

Credits

3

Offered

Fall and Spring semesters.

MTH 12100 Introduction to Contemporary Mathematics

(GE-Math) This course is an introductory course on how mathematics is used today. Students will study consumer mathematics plus additional topics selected from apportionment, fair divisions, geometry, growth and decay, numbers systems for encoding information, probability and counting techniques, routes and network, scheduling, statistics, voting systems.

Credits

3

Prerequisites

C or better in MTH 05100 or MTH 11000 or passing the placement test.

Offered

Fall and Spring semesters.

MTH 14100 Basic Statistics

(GE-Math) This course is an introduction to the theory and applications of statistics, including probability, descriptive statistics, random variables, expected values, distribution functions, and hypothesis testing.

Credits

3

Prerequisites

C or better in MTH 05100 or MTH 11000 or passing the placement test.

Offered

Fall and Spring semesters.

MTH 14200 Quantitative Methods for Business

(GE-Math) This course is designed to introduce business students to the use of quantitative methods. Topics covered will include solving and graphing linear functions and inequalities; writing mathematical models; solving systems of equations; linear regression; and an introduction to linear programming. Tools used will include calculators and computers. A graphing calculator is required.

Credits

3

Prerequisites

C or better in MTH 05100 or MTH 11000 or passing the placement test.

Offered

Fall and Spring semesters.

MTH 14800 Mathematical Structures for Teachers I

(GE-Math) This course focuses on problem solving using the real number system and algebra.  Topics include: different numeration systems (Roman Numerals and other bases), techniques for calculations, percents and ratios with applications, exponents and roots, the properties of real numbers, arithmetic with irrational and complex numbers, linear functions and piecewise linear functions with applications, systems of linear equations, quadratic functions with applications, polynomial and rational functions with applications.

Credits

4

Prerequisites

C or better in MTH 11000 or placement in MTH 15100.

Offered

Every semester

MTH 14900 Mathematical Structures for Teachers II

(GE-Math)  This course provides an introduction to the basic concepts of probability (includiing counting techniques), statistics, and geometry.  The basic geometry concepts to be covered include the fundamentals of planar and 3-dimensional geomtry; constructions, congruence and similarity, proofs of congruent of similar triangles; concepts of measure; and motion geometry and tessellations. 

Credits

3

Prerequisites

C or better in MTH 11000 or placement in MTH 15100

Offered

Every semester

MTH 15100 College Algebra

(GE-Math) Topics covered: functions and graphs, polynomial and rational functions, exponentials and logarithms, systems of equations and inequalities, sequences and the binomial theorem. The course is designed primarily for science and related majors and students seeking middle school mathematics certification.

Credits

3

Prerequisites

C or better in MTH 11000, or passing the placement test.

Offered

Every semester

MTH 15200 Pre-calculus: Elementary Functions

(GE-Math) This course serves as preparation for calculus covering polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, applications and systems of linear equations. A graphing calculator is required.

Credits

3

Prerequisites

C or better in MTH 15100 or passing the placement test.

Offered

Fall and Spring semesters.

MTH 17300 Survey of Calculus

(GE-Math) Topics include a brief review of trigonometry; limits and continuity; derivatives and integrals of polynomials, rational, exponential, logarithmic and trigonometric functions; relative extrema and points of inflection; graphs of functions, derivatives, and integrals; implicit differentiation and related rates; the extreme value theorem; definite and indefinite integrals; and the Fundamental Theorem of Calculus. A graphing calculator is required.

Credits

4

Prerequisites

C or better in MTH 15100 or higher level math course, or passing the placement test.

Offered

Fall and Spring semesters.

MTH 22100 Discrete Structures

This course will briefly review logic, sets, functions and relations, and methods of proof before using these concepts to study discrete (rather than continuous) mathematics. Topics covered may include combinatorics, graph theory, algorithms and their analysis, Boolean algebra, finite state machines, finite difference equations, and applications of these topics.

Credits

3

Prerequisites

C or better in MTH 15100 or higher level math course and C or better in CSC 14400

Offered

Every fall semester.

MTH 24100 Statistics for Natural Science

(GE-Math) Topics covered in this course include counting rules and probability, normal and binomial distributions, Chi-square, t-tests and F-tests, ANOVA, linear regression, precision, accuracy, absolute and relative error, random error, means, medians, standard deviation (population and sample), standard error of the mean, variance, relative standard deviation, coefficient of variation, confidence levels and intervals, Q-tests, and definitions and sources of error (methodological, sampling, procedural and instrument).

Credits

3

Prerequisites

C or better in MTH 15100 or passing the placement test.

Offered

Fall and Spring semesters.

MTH 27100 Calculus I

(GE-Math) This course is the first study of real functions and some of their applications. Topics include limits, continuity, differentiation and integration. A graphing calculator is required.

Credits

5

Prerequisites

C or better in MTH 15200 or passing the placement test.

Offered

Fall and Spring semesters.

MTH 27200 Calculus II

(GE-Math) This course is a continuation of the study of real functions of one variable. Topics include integration, applications of integration, and methods of integration, infinite series, and vectors. A graphing calculator is required.

Credits

5

Prerequisites

C or better in MTH 27100.

Offered

Fall and Spring semesters.

MTH 28500 Introduction to Advanced Mathematics

This course is a transition course from elementary to advanced mathematics. Topics include logic, proof techniques, set theory, discrete math, the natural numbers, induction, functions, relations, and the foundations of number systems.

Credits

3

Prerequisites

C or better in MTH 27200.

Offered

Every spring semester.

MTH 30300 Calculus III

This course is the study of real functions of more than one variable. Topics include partial derivatives, gradient, potential functions, line integral, multiple integration, and Taylor's formula. A graphing calculator is required.

Credits

5

Prerequisites

C or better in MTH 27200.

Offered

Fall and Spring semesters.

MTH 31100 Differential Equations

This course examines ordinary differential equations and some applications, including first order equations, linear differential equations, Laplace Transform, and series solutions.

Credits

3

Prerequisites

C or better in MTH 27200.

Offered

Every spring semester.

MTH 31300 History of Mathematics

This course looks at the history of Mathematics, including the Classical, Medieval, Renaissance, Early Modern, and Modern periods, spanning the time from 3000 BC to the present.

Credits

3

Prerequisites

Completion of WPA or ENG 21000 and MTH 28500.

Offered

Intermittently.

MTH 31500 Linear Algebra I

This course is the study of the finite dimensional vector spaces, linear mappings between them and applications to differential equations and geometry. Topics include solution of linear equations, matrices, determinants, eigenvalue problems, bilinear mappings and forms, diagonalization.

Credits

3

Prerequisites

C or better in MTH 27200.

Offered

Every fall semester.

MTH 31600 Linear Algebra II

This course is the study of the finite dimensional vector spaces, linear mappings between them and applications to differential equations and geometry. Topics include solution of linear equations, matrices, determinants, eigenvalue problems, bilinear mappings and forms, diagonalization.

Credits

3

Prerequisites

C or better in MTH 31500.

Offered

Intermittently.

MTH 32000 Algebraic Structures

This course examines the main structures of abstract algebra. Groups, rings and fields will be studied together with applications to geometry, and number theory.

Credits

3

Prerequisites

Completion of WPA or ENG 21000 and C or better in MTH 28500.

Offered

Every fall semester.

MTH 32400 Interest Theory

This course is a differential calculus based introduction to interest theory and the time value of money. Students will learn about simple and compound interest, nominal and effective rates of interest and discount, standard and nonstandard annuities, amortization schedules, bond valuation, the effects of inflation, duration and volatility, and immunization. This course covers the topics needed to be successful on Exam FM/2 by the Society of Actuaries and the Casualty Actuaries Society.

Credits

3

Prerequisites

C or better MTH 27100.

Offered

Every spring semester.

MTH 33000 Geometry

This course is a careful review of Euclidean geometry of the plane and space, and an introduction to non-Euclidean geometry.

Credits

3

Prerequisites

Completion of WPA or ENG 21000 and C or better in MTH 28500.

Offered

Every fall semester.

MTH 34100 Probability and Mathematical Statistics I

This course is the first part of a calculus-based sequence. Topics include combinatorics, probability spaces, discrete and continuous distributions, variable transformation, multivariate distributions.

Credits

3

Prerequisites

MTH 30300.

Offered

Every spring semester.

MTH 34200 Probability and Mathematical Statistics II

This course is the second part of a calculus-based sequence. Topics covered include estimation using confidence intervals, maximum likelihood, bayesian methods, hypothesis testing regression analysis, and theory of statistical interference.

Credits

3

Prerequisites

C or better in MTH 34100.

Offered

Intermittently.

MTH 35100 Numerical Methods

This course is the first course in numerical methods, including solution of linear and non-linear equations, numerical integration and differentiation, the theory of approximation, and solution of differential equations.

Credits

3

Prerequisites

C or better in MTH 27200 and CSC 14400.

Offered

Intermittently.

MTH 36100 Applied Engineering Mathematics

This course will include partial differential equations of mathematical physics, eigen function expansions, the Laplace and Fourier transforms, and numerical methods.

Credits

3

Prerequisites

C or better in MTH 30300 and MTH 31100.

Offered

Intermittently.

MTH 37000 Advanced Calculus

This course provides a systematic and rigorous development of the multivariable calculus of functions on Euclidean space. Topics covered include limits, continuity and differentiability of functions, the Riemann integral, vector calculus, and sequences and series.

Credits

3

Prerequisites

C or better in MTH 28500 and MTH 30300.

Offered

Every spring semester.

MTH 39000-39999 Special Topics in Applied Mathematics

Credits

3

MTH 49000-49999 Special Topics in Mathematics

Credits

3