College Catalog
One College Avenue, Williamsport PA 17701 · (570) 326-3761 or (800) 367-9222
Course Descriptions
MTH004
Pre-Algebra
Requisite mathematical foundation skills in preparation for Career Math or Elementary Algebra. Utilizing a graphing calculator, students complete an extensive review of fundamental arithmetic concepts and skills, with a focus on problem solving and an introduction to algebraic representation. Topics include arithmetic operations with whole numbers, fractions, decimals, percents, ratios and proportions, and the English System of measurement. Also included are topics from basic geometry and an introduction to linear algebraic equations as well as formulas and other selected topics. The general format includes whole-class instruction (lecturing, questioning, and discussion), collaborative group work and individual activities. Students use a graphing calculator to enhance their thinking and understanding, to solve problems, and to judge the reasonableness of their results. Credits earned in this course may not be used to satisfy any course requirement or be used as electives required in a given program. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): Placement by Examination.
MTH005
Elementary Algebra I
Designed for students with little or no background in algebra, prepares students for entry into Elementary Algebra II and into introductory college-level mathematics courses below college algebra and trigonometry. Topics include real numbers, variable expressions, linear equations in one and two variables, inequalities, exponents and scientific notation, polynomial operations, and application problems. Math study skills are taught, emphasized, and reinforced throughout the course. The instructional approach will be a combination of lectures and labs and involves active student participation in learning about, discovering, and communicating mathematical concepts. The general format centers on direct whole-class instruction. Other delivery strategies include appropriate, collaborative group activities and individual practice to promote understanding. Multiple approaches and representations are used: verbal, numerical, graphical and symbolic, with sufficient opportunities for students to revisit and extend concepts and applications. Students use technology to enhance their thinking and understanding, to solve problems and to judge the reasonableness of their results. Credits earned in this course may not be used to satisfy any course requirement or be used as electives required in a given program. 3 Credits (2 Lecture - 3 Lab)
Prerequisite(s): MTH004 or MTH009 or Placement by Examination.
MTH006
Elementary Algebra II
Designed for students with a limited background in algebra, this course prepares students for success in College Algebra and Trigonometry I. Topics include systems of linear equations, polynomial division and special products, factoring, rational expressions, radical expressions, quadratic equations, functions, and application problems. Math study skills are emphasized and reinforced throughout the course. The instructional approach combines lectures and labs and involves active student participation in learning about, discovering, and communicating mathematical concepts. The general format centers on direct whole-class instruction. Other delivery strategies include appropriate, collaborative group activities and individual practice to promote understanding. Multiple approaches and representations are used: verbal, numerical, graphical and symbolic, with sufficient opportunities for students to revisit and extend concepts and applications. Students use technology to enhance their thinking and understanding, to solve problems, and to judge the reasonableness of their results. Credits earned in this course may not be used to satisfy any course requirement or be used as electives required in a given program. 3 Credits (2 Lecture - 3 Lab)
Prerequisite(s): MTH005 or Placement by Examination.
MTH011
Career Mathematics
This course, a survey of practical mathematics for students enrolled in certificate programs in technical areas that need mathematics at the pre-algebra level and only minimal skills in basic algebra. This course prepares students to use their math skills to compare and analyze mathematical applications. Topics include a basic math review; use of technology; systems of measurement; solutions of simple algebraic equations including ratio and proportion; algebraic graphs; practical plane geometry; solid geometry; right angle geometry; interpretation of data including formulas, graphs and tables; descriptive statistics; personal financial calculations; and vectors. Weekly laboratory experiences enhance classroom lecture to provide a more thorough understanding of concepts and topics through readings, group activities, discussions, demonstrations, projects, activities involving technology, hands-on construction, and models. 3 Credits (2.50 Lecture - 1.50 Lab)
Prerequisite(s): MTH009 or MTH004 or Placement by Examination.
MTH113
Business Mathematics
Designed for programs where knowledge of business concepts is appropriate. Topics include linear and quadratic functions, systems of linear equations and inequalities, proportions, graphing, metric system, cash and trade discounts, markup and markdown, payroll, interest, descriptive statistics, interpretation of data presented in graphs and tables, depreciation, breakeven analysis, valuation of inventory, and business applications of all the above topics. Students will use technology to enhance their thinking and understanding, to solve problems, and to judge the reasonableness of their results. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH005 or Placement by Examination.
MTH124
Technical Algebra and Trigonometry I
The first of a two-course sequence designed for students in technical programs, this course prepares students for course work in their major by giving them a background in intermediate algebra and trigonometry. Topics include problem solving, algebraic expressions, linear equations, systems of equations, right triangle trigonometry, functions, graphs, geometry, ratio and proportion, and variation. Emphasis on problem solving and applications relating to technical fields as well as on the use of technology to solve those problems. This course and MTH125, Technical Algebra and Trigonometry II, are not designed to prepare students for calculus. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH005 or Placement by Examination.
MTH125
Technical Algebra and Trigonometry II
The second of a two-course sequence designed for students in technical programs, this course prepares students for course work in their major by giving them a background in algebra and trigonometry. Topics include factoring, algebraic fractions and equations, quadratic equations, trigonometric functions and graphs, radicals, complex numbers, exponential and logarithmic functions and graphs, nonlinear systems, and inequalities. Emphasis on problem solving and applications relating to technical fields as well as on the use of technology to solve those problems. This course and MTH124, Technical Algebra and Trigonometry I, are not designed to prepare students for calculus. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH124.
MTH151
Structures of Mathematics
A general education course for non-mathematics and non-science majors. Topics include set theory, logic, introduction to the real number system (whole numbers, integers, rational numbers, decimals and real numbers), elementary algebra (solutions of first and second degree equations, graphs of relations and functions) and problem solving. The emphasis is on the interconnections of mathematical concepts. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH005 or Placement by Examination.
MTH153
Topics in Mathematics
A general education course for non-mathematics and non-science majors. Topics will include geometry (points, lines, polygons, area, volume, and surface area), matrices, probability (sample spaces, counting techniques, conditional probability, odds), and statistics (measures of central tendency and dispersion, normal distribution, scatter plots). The emphasis is on the interconnections of mathematical concepts. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH005 or Placement by Examination.
MTH160
Elementary Statistics with Computer Applications
Introduction of frequently applied statistical methods. Topics include descriptive statistics, frequency distributions, elementary probability, binomial and normal distributions, Central Limit Theorem, statistical inference, estimation, tests of hypotheses, regression, and correlation. Computer applications include the creative use of plots, application of standard methods to real data, in-depth exploration of data, simulation as a learning tool, screening data for errors, manipulating data, transformations, and regression models. 4 Credits (3 Lecture - 3 Lab)
Prerequisite(s): CSC110 and MTH005 or CSC110 and Placement by Examination.
MTH170
Matrix Algebra
Matrices, determinants, inverse of a matrix, rank and equivalence, linear equations and linear dependence, vector spaces, linear transformations, characteristic equations of matrix, bilinear, quadratic, and Hermintian forms. Recommended for computer science, science, and technology students. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH180 or MTH190. As needed.
MTH172
Introduction to Geometry
A survey of classical and modern geometry. No prior exposure to geometry is assumed. Emphasis is placed on conceptual development (thinking, comparing, analyzing, and understanding) and applications requiring knowledge of elementary algebra. Weekly laboratory experiences enhance classroom lecture to provide a more complete and better understanding of geometric concepts and topics through readings, discussions, demonstrations, projects, calculator/computer generations, hands-on construction, and models. Classical geometry topics include systems of measurement, planar and spatial figures, right triangles, area and volume, congruent/similar figures, geometric constructions, pattern recognition, symmetry, coordinate geometric and conic sections, and the geometry of growth. Topics from modern geometry will be selected from chaos and fractals, Euclidean and non-Euclidean geometry, projective geometry, map making, topology and graph theory. Recommended for technology and General Studies students interested in a basic geometry course. Required for students in the Graphic Design baccalaureate program. 3 Credits (2.50 Lecture - 1.50 Lab)
Prerequisite(s): MTH005 or Placement by Examination.
MTH180
College Algebra and Trigonometry I
Conceptual understanding and contemporary problem solving primarily using the language, symbols and algorithms of algebra are stressed. Designed for all students needing a thorough pre-calculus algebra background with an introduction to trigonometry, this course emphasizes linear, quadratic, and polynomial functions; algebraic models and their graphs. Graphing technology is integrated throughout all course content. Additional topics include equations, inequalities, complex numbers, right triangle trigonometry, trigonometric functions, sine and cosine laws, and other selected topics (higher degree polynomials, Fundamental Theorem of Algebra, rational polynomials) as time permits. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH006 or MTH125 or Placement by Examination.
MTH182
College Algebra and Trigonometry II
This course builds upon the concepts and applications of MTH180 and focuses upon conceptual understanding and problem solving using the language, symbols and algorithms of algebra, trigonometry, matrices and determinants. Designed for students needing a comprehensive pre-calculus algebra, trigonometry and introductory matrix background, this course emphasizes inverse, exponential, logarithmic, circular and trigonometric functions, models and their graphs. Graphing technology is integrated throughout the algebraic and trigonometric course content. Additional topics include analytic trigonometry, solution to trigonometric equations, vectors in the plane, trigonometric form of complex numbers, multivariable linear systems, systems of inequalities, matrices and determinants (with emphasis on technology solutions to linear systems) and other selected topics (polar coordinates, conics) as time permits. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH180.
MTH190
Pre-Calculus
A one-semester course designed for mathematics, science, engineering, and technology students preparing for the study of calculus or related quantitative science and technology. Emphasis on the meaningful development of concepts, to the interrelationships or connections among topics, and to the application of mathematics to the solutions of realistic problems. Topics include algebra, functions and graphs (including polynomial, rational, exponential, logarithmic and trigonometric functions), analytic trigonometry, trigonometric applications and systems of equations. This course may be taken by students whose mathematical preparation enables them to study an accelerated one-semester course instead of the College's two-semester sequence MTH 180 & MTH 182, College Algebra and Trigonometry I and II. This course may not be taken for credit by students who have successfully completed MTH 180 and MTH 182. 4 Credits (4 Lecture - 0 Lab)
Prerequisite(s): Placement by Examination.
MTH230
Applied Calculus
Relations and functions, conics, limits, derivatives and integration of algebraic, trigonometric and transcendental functions, methods of integration, and applied problem solving. Excellent preparation for students who intend to sit for the Engineer in Training Examination. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH182 or MTH190 or Placement by Examination.
MTH240
Calculus I
Algebra review. Functions, limits, continuity, derivatives, velocity, rates of change, chain rule, curve sketching, related rates, maximum-minimum theorems, differentials, applications, antiderivatives. 4 Credits (4 Lecture - 0 Lab)
Prerequisite(s): MTH182 or MTH190 or Placement by Examination.
MTH242
Calculus II
Continuation of MTH 240. Emphasizes the definite integral, applications of integration, transcendental functions, techniques of integration, and other selected topics. 4 Credits (4 Lecture - 0 Lab)
Prerequisite(s): MTH240.
MTH250
Discrete Mathematics
Introduction to discrete structures. Topics include logic and proof, sets, combinatorics, graphs, modeling, homomorphisms, Boolean algebra, logic networks, coding theory, finite state machines and computability, formal languages and general algebraic structures emphasizing semigroups, monoids and groups. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH240. As needed.
MTH255
Linear Algebra
The study of vector spaces. Topics include linear independence, bases and dimension, linear transformation matrices, and systems of linear equations. 3 Credits (3 Lecture - 0 Lab)
Prerequisite(s): MTH240. As needed.
MTH340
Calculus III
Continuation of MTH 242. Topics and applications include vectors and their properties in n-space, vector valued functions of several variables, partial derivatives, double and triple integrals, scaler and vector fields, line integrals, and an introduction to differential equations. 4 Credits (4 Lecture - 0 Lab)
Prerequisite(s): MTH242. Fall Only.
MTH346
Ordinary Differential Equations
A one-semester course for mathematics, science, engineering technology, and technology students. Emphasis on the meaningful development of concepts, to the interrelationships or connections among topics, and to the application of mathematics to the solutions of realistic problems. Topics include techniques for solving first order separable and nonseparable differential equations, homogeneous and nonhomogeneous higher order linear differential equations, linear systems of differential equations, laplace transformations, series solutions of second order linear equations, applications, and existence theorems. Students may be admitted by placement exam or by permission of instructor. 4 Credits (4 Lecture - 0 Lab)
Prerequisite(s): MTH242. Spring Only.
MTH360
Quantitative Statistical Methods with Applications
Statistical concepts that build on those introduced in previous statistics courses, such as MTH160, Elementary Statistics with Computer Applications. This course develops widely used multivariable statistical methods. Topics include a review of basic inferential statistical concepts, an introduction to regression analysis, simple linear regression, multiple regression and correlation, univariate and multivariate analysis of variance, model building, regression pitfalls, residual analysis, logistic regression and time series modeling. Optional topics include principles of experimental design and analysis of variance for designed experiments. Statistical software and a graphing calculator are used extensively for computations. A student project is an integral part of this course. Numerous applications will be examined from a variety of fields including health, science, and engineering, among others. Prior computer experience is assumed. Students who have not successfully completed MTH160 should see the instructor prior to scheduling this course. 4 Credits (3 Lecture - 3 Lab)
Prerequisite(s): CSC104 and MTH160 or CSC110 and MTH160. As needed.