# Courses in Mathematics at LBCC

The courses offered by LBCC Mathematics Department include transfer courses and non-transfer courses. With input from other departments, the department has tailored a number of non-transfer courses to fit the needs of various groups of students. As the needs of various transfer programs have changed over the years, the department has added, deleted or changed courses to fit those needs. The department has developed a unique set of non-transfer algebra courses and a survey course that meet the AMATYC standards of including technology, statistics, geometry and real applications at that level. Those courses also include at least four hands-on lab activities that help students see the practical use of the algebra.

Below is a list of courses with a brief description for each, the course number and the number of credits. MTH020 through MTH095 are minimum competency courses. Prerequisites must be met or the placement test must indicate readiness for the course. Refer to the current catalog for more details.

Non-transfer courses:

- MTH015 Math Fast Track (5 cr) For students who can accelerate their pace with a quick review, Math Fast Track provides the opportunity to gain placement into courses above the student's placement level in one term. This course is not recommended for students who are unfamiliar with topics in algebra.

- MTH020 Basic Mathematics (4 cr) provides a review of arithmetic, including operations with whole numbers, fractions, decimals; geometry; and measurement.

- MTH060 Introduction to Algebra (4 cr) introduces basic operations with integers, exponents, algebraic expressions, linear equations, graphing, dimensional analysis, scientific notation, ratio and proportion, percent problems. Problem solving is emphasized throughout the course. (Prerequisite: MTH020)

- MTH061 Survey of Mathematical Fundamentals (3 cr) includes applications of basic algebra, ratio and proportion, charts, tables, graphs, data analysis, problem solving and an introduction to practical geometry. (Prerequisite: MTH060)
*Note: This course is no longer offered.*

- MTH062 Occupational Trigonometry (1 cr) provides an introduction to right triangle trigonometry with occupational applications. (Prerequisite: MTH061 or instructor's approval)
*Note: This course is no longer offered.*

- MTH063 Industrial Shop Math (1 cr) acquaints students with measuring tools and the types of computations and problem-solving methods needed in an industrial setting. (Prerequisite: MTH061 or instructor's approval)
*Note: This course is no longer offered.*

- MTH064 Business Applications of Math Fundamentals (1 cr) covers the math of finance including simple and compound interest on loans, installment buying, credit purchases and annuities. (Prerequisite: MTH061 or instructor's approval)
*Note: This course is no longer offered.*

- MTH065 Elementary Algebra (4 cr) is a non-traditional course that includes graphing linear, quadratic and other functions; applications using 1 and 2 variables; geometry concepts that lend themselves to algebraic solutions; reading and interpreting graphs; use of linear and exponential models to predict events; problem solving. Students use a graphing calculator. (Prerequisite: MTH060)

- MTH095 Intermediate Algebra (4 cr) is a non-traditional course that includes absolute value, exponential, logarithmic, square root and cube root functions and their graphs; polynomials; factoring; rational expressions; solving quadratics and higher order equations by factoring; complex numbers; some statistics and geometry; problem solving throughout. Students use a graphing calculator. (Prerequisite: MTH065)

- MTH097 Practical Geometry (4 cr) is an informal geometry that includes problem solving, geometric shapes, angle measure, perimeter, area, volume, congruence, similarity, circles, basic constructions, and an introduction to right triangle trigonometry. (Prerequisite: MTH095)

Transfer Courses:

- MTH105 Introduction to Contemporary Mathematics (4 cr) is a survey course in mathematics for students in the liberal arts and other non science majors. Topics are selected from areas such as management science, statistics, social choice, the geometry of size and shape, and computers and their applications. Emphasizes the application of mathematics to the problems of contemporary society and the critical role these applications play in economic, political and personal life. [Prerequisites: MTH 095 Intermediate Algebra or equivalent].

- MTH111 College Algebra (5 cr) includes relations and linear, quadratic, exponential, polynomial, rational and logarithmic functions; theory of equations; matrices and determinants, and may introduce sequences and series. (Prerequisite: MTH095)

- MTH112 Trigonometry (5 cr) includes trigonometric functions, trigonometric identities, inverse trigonometric functions, trigonometric equations, right triangle trigonometry, complex numbers, polar coordinates, parametric equations, vectors, 3-D geometry and conic sections. (Prerequisite: MTH111 and MTH097 or high school geometry is highly recommended)

- MTH211 Fundamentals of Mathematics I is the first course in a sequence for prospective elementary and middle school teachers. It includes problem solving, whole numbers, algorithms for computation, numeration systems, number theory and fractions. [Prerequisite: MTH095]

- MTH212 Fundamentals of Mathematics II is the second course in the sequence for elementary and middle school teachers. Topics include decimals, percent, ratio and proportion, integers, real numbers, basic statistics and probability. [Prerequisite: MTH211]

- MTH213 Fundamentals of Mathematics III is the third course in the sequence for elementary and middle school teachers. It covers basic geometry. Topics include shapes and their properties; symmetry; angle measure; measurement of length, area and volume; congruence and similarity; Pythagorean Theorem; and coordinate geometry. [Prerequisites: MTH212 and MTH097 or equivalent or instructor approval]

- MTH231 Elements of Discrete Mathematics covers elementary logic and set theory, functions, direct proof techniques, contradiction and contraposition, mathematical induction and recursion, elementary combinatorics, basic graph theory, minimal spanning trees. [Prerequisite: MTH251]

- MTH232 Elements of Discrete Mathematics covers basic matrix linear algebra, combinatorics, graph theory and algorithms. [Prerequisite: MTH231]
*Note: This course is no longer offered.*

- MTH241 Math of Biological/Management/Social Sciences presents intuitive development of the calculus of polynomial, exponential and logarithmic functions, and extrema theory and applications. [Prerequisite: MTH111]

- MTH243 is an introductory statistics course emphasizing interpretation of statistical results. The course focuses on sampling procedures, experimental design, descriptive statistics, and inferential statistical techniques to analyze survey and experimental data from a wide range of fields including health care, biology, psychology, physics and agriculture. Includes basic concepts in graphical interpretation of one and two variable data, probability, probability distributions (binomial, normal, t-Distribution, and chi-square), confidence intervals for means and proportions, and hypothesis testing. [Prerequisite: MTH 111 College Algebra or equivalent].

- MTH245 A survey course of discrete mathematics for non-physical science majors. Topics include systems of inequalities, linear programming and the simplex method, probability and probability distributions, and an introduction to descriptive statistics. [Prerequisite: MTH 111 College Algebra.]

- MTH251 Calculus is a first course in the calculus sequence for students of mathematics, science and engineering. It includes differentiation, extrema, optimization problems, the definite integral, the fundamental theorem of calculus, numerical integration and area under a curve. [Prerequisite: MTH112]

- MTH252 Calculus is a second course in the calculus sequence for students of mathematics, science and engineering. Includes the calculus of logarithmic and exponential functions and applications to finding volumes, work, fluid pressure, centroids, arc length and surface area. Techniques of integration and improper integrals also are included. [Prerequisite: MTH251]

- MTH 253 Calculus is the third course in the calculus sequence for students majoring in mathematics, science and engineering. Topics include sequences and series of real and complex functions, matrix algebra, linear dependence and independence, eigenvalues and eigenvectors. [Prerequisite: MTH 252 Integral Calculus]
*Note: This course transfers directly to OSU as Math 306.*

- MTH254 Calculus is a fourth course in the calculus sequence for students of mathematics, science and engineering. It includes vector-valued functions, functions of several variables, partial differentiation, and multiple integration. [Prerequisite: MTH252]

- MTH255 Vector Calculus is an intermediate treatment of multivariate calculus with a vector approach. Topics include a review of vectors and vector operations, vector fields, path independence, divergence, curl, line integrals, surface integrals and the major theorems of vector calculus -- Green's, Divergence, and Stoke's Thereoms. It provides the mathematical skills for courses in advanced calculus, fluid mechanics and electromagnetic theory. [Prerequisite: MTH254]

- MTH256 Applied Differential Equations is a beginning course in differential equations for students majoring in mathematics, sciences or engineering. Covers ordinary differential equations, series solutions and Laplace transforms. [Prerequisite: MTH254]

- MTH265 Statistics for Scientists and Engineers covers probability and inferential statistics applied to scientific and engineering problems. Includes random variables, expectation, sampling, estimation, hypothesis testing, regression, correlation and analysis of variance. [Prerequisite: MTH252]