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C OLLEGE OF A RTS AND S CIENCES DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Professors: William C. Arlinghaus Ruth G. Favro Thomas A. Lackey Richard E. Marburger, emeritus Roy W. Schenkel, emeritus Associate Professors: Glen A. Bauer David E. Bindschadler, (chairperson) Chan-Jin Chung Sonia Henckel Pamela E. Lowry Michael J. Merscher James D. Nanny Assistant Professors: Jon Brewster Christopher Cartwright John Stock, emeritus College Professor: Ghassan M. Azar Senior Lecturer: Bashkim Zendeli Lecturers: Additional guest lecturers are assigned to selected courses and sections based on their specialties and expertise, and are listed in the faculty roster. CALCULUS SEQUENCE PLACEMENT The results of a student’s placement assessment in mathematics will determine which course the student will take. The following chart is only a guideline for judging where students might expect to be placed. High School Expected first Expected second Background semester semester 2 units Algebra MCS1414 Calculus 1 MCS1424 Calculus 2 1 unit Geometry 0.5 unit Trig. 2 units Algebra MCS0093 Trig. MCS1414 Calculus 1 1 unit Geometry 1.5 units Algebra MCS0074 Pre-calc. MCS1414 Calculus 1 1 unit Geometry 1 unit Algebra MCS0054 Intermed. MCS0074 Pre-calc. 1 unit Geometry Algebra/Geometry 1 unit Algebra MCS0054 Intermed. MCS0083 College Algebra/Geometry Algebra MATHEMATICS AND COMPUTER SCIENCE MCS0035 ESSENTIAL MATHEMATICS Prerequisite: Placement. Operations with whole numbers, decimals, integers, fractions, real numbers, percents, ratios, and exponents. Solving linear equations and inequalities. Slopeintercept form of an equation. Graphing linear equations, Algebra of exponents, polynomials, factoring and rational expressions. Solving systems of two linear equations in two variables, solving quadratic equations. Lect. 5 hrs., Lab. 1 hrs. 5 hours credit MCS0044 BASIC ALGEBRA Prerequisite: 0. Review of whole numbers, decimals, integers, rational and irrational numbers, real numbers. Conversion of units, basic geometry (perimeter area, and volume of prisms and cylinders). Algebra of exponents polynomials, factoring, and rational expressions. Solving linear equations and inequalities. Graphing linear equations. Solving systems of two linear equations in two variables, solving quadratic equations. Lect. 4 hrs. 4 hours credit MCS0054 INTERMEDIATE ALGEBRA/GEOMETRY Prerequisite: Placement, MCS0044, or MCS0035. Fundamental operations, factoring, exponents, radical, linear equations, rectangular coordinates and graphing, systems of linear equations, introduction to quadratic equations, fundamental concepts and formulas of geometry. 5th class hour may be scheduled for exams and study sessions. Lect. 4 hrs. 4 hours credit MCS0060 ALGEBRA WORKSHOP Prerequisite: Placement or permission of department chair. This workshop first assesses each student’s level of algebraic ability and then introduces the algebraic problems to fit his/her specific needs. Problems are presented using a variety of methods, and the students solve them individually and in group sessions. Upon successful completion of the workshop, students receive a new placement in mathematics. Lab. 4 hrs. 0 hours credit 112 U N D E R G R A D U A T E C A T A L O G 2 0 0 5 - 2 0 0 7
C OLLEGE OF A RTS AND S CIENCES MCS0074 PRECALCULUS Prerequisite: Placement, or B+ or better in MCS0054. Quadratic equations, functions and graphs, systems of equations, theory of equations, inequalities, logarithms, trigonometric definitions, identities, equations. (This course is a faster-paced version of MCS0083 AND MCS0093 combined. 5th class hour may be scheduled for exams and study sessions.) Lect. 4 hrs. 4 hours credit MCS0083 COLLEGE ALGEBRA Prerequisite: MCS0054 or placement. Covers that part of MCS0074 which does not involve trigonometry. Quadratic equations, functions, graphs, systems of equations, theory of equations, inequalities. Successful completion prepares the student for MCS0093 Trigonometry. Lect. 3 hrs. 3 hours credit MCS0093 TRIGONOMETRY Prerequisite: MCS0083, or placement. Covers that part of MCS0074 involving trigonometry and logarithms. Lect. 3 hrs. 3 hours credit MCS1003 INTRODUCTION TO COMPUTER APPLICATIONS Prerequisite: 0. Introduces applications involving use of a computer. Word processing, spreadsheets, data base applications, presentation software. (This course is required of those who do not successfully demonstrate knowledge of these topics upon entry to Lawrence Tech. No credit for mathematics/computer science majors.) Lect. 3 hrs. 3 hours credit MCS1023 TECHNICAL COMPUTER APPLICATIONS Prerequisite: 0. Introduction to computers and computer programming. Spreadsheet software will be utilized for a portion of the course. (For engineering technology students only.) Lect./Lab. 3 hrs. 3 hours credit MCS1102 INTRODUCTION TO FORTRAN Prerequisite: Computer placement or MCS1003; co-requisite: MCS0074, MCS0083, MCS0085, MCS1214, or math placement. Introduction to programming in FORTRAN. Assignment statements, choice of alternatives, arrays, loops, introduction to subroutines. Lect. 2 hrs. 2 hours credit MCS1113 TECHNICAL MATHEMATICS 1 Prerequisite: Placement, or MCS0044, or MCS0035. Fundamental operations, functions and graphs, trigonometric functions with right angle applications, systems of linear equations, factoring, fractions, quadratic equations, radian measure, general trigonometric functions. (For engineering technology students only.) Lect. 3 hrs. 3 hours credit MCS1123 TECHNICAL MATHEMATICS 2 Prerequisite: MCS1113. Vectors, oblique triangles, graphs of trigonometric functions, exponents, radicals, logarithms, determinants, matrices. (For engineering technology students only.) Lect. 3 hrs. 3 hours credit MSC1132 TECHNICAL TRIGONOMETRY Prerequisite: MCS0054. Trigonometric functions with right angle applications, graphs, vectors, oblique triangles, and complex numbers. Exponential and logarithmic functions with graphs and equations. Lect. 2 hrs. 2 hours credit MCS1142 INTRODUCTION TO C Prerequisite: Computer placement or MCS1003; co-requisite: MCS0074, MCS0083, MCS0085, MCS1214 or math placement. Introduction to the C programming language: arrays, functions, file operations, and simple pointer types. Lect. 2 hrs. 2 hours credit MCS1203 LOGIC Prerequisite: Placement. Introduction to deductive and inductive logic. Aristotelian logic, truth functions and truth tables, formal deductions, analysis of fallacies, inductive reasoning. (No credit for mathematics/ computer science majors.) Lect. 3 hrs. 3 hours credit MCS1214 INTRODUCTION TO MATHEMATICAL ANALYSIS 1 Prerequisite: Placement, or MCS0054. Equations and inequalities, functions and graphs, lines, parabolas, systems of equations, exponential and logarithmic functions, mathematics of finance, matrix algebra, linear programming. Introduces trigonometry. Lect. 4 hrs. 4 hours credit MCS1224 INTRODUCTION TO MATHEMATICAL ANALYSIS 2 Prerequisite: Placement, MCS1214, or MCS0083.Limits and continuity, differentiation, curve sketching, applications of differentiation, integration, methods and applications of integration, multivariable calculus. Lect. 4 hrs. 4 hours credit MCS1254 GEOMETRY IN ART Prerequisite: Placement, or MCS0054. Diverse geometrical applications of mathematical concepts, linking the symbolic representation to the visual representation. Examples from the arts and architecture; computer applications. Topics may include conic sections, perspective, symmetry, tilings, shading of objects, fractals, trigonometry. Lect. 4 hrs. 4 hours credit MCS1414 CALCULUS 1 Prerequisite: Placement, MCS0074, or MCS0083 and MCS0093. Limits and continuity, differentiation of algebraic and trigonometric functions, mean value theorem, applications of differentiation, antiderivatives, indefinite integrals, substitutions, definite integrals, the Fundamental Theorem of Calculus, applications of integration. Lect. 4 hrs. 4 hours credit MCS1424 CALCULUS 2 Prerequisite: MCS1414. Calculus of transcendental functions, l’Hospital’s rule, techniques of integration, application to arc length and surface area, infinite series. Lect. 4 hrs. 4 hours credit MCS1514 COMPUTER SCIENCE 1 Prerequisite: MCS1102, MCS1142, MCS1603, MCS1632, MCS1623, or programming experience, and math placement or MCS0054. Introduction to computer science. Simple, iterative, and conditional statements. Enumerated variable types, procedures and functions, single and multidimensional arrays, bubble sort, linear search, simple file input/output (sequential). Lect. 3 hrs. Lab. 1 hr. 4 hours credit MCS1524 INTRODUCTION TO DISCRETE MATHEMATICS Prerequisite: Placement, MCS0083. Logic and logic operators, proofs; sets and relations, functions; the integers, modular arithmetic, bases; induction and recursion, principles of counting, permutations and combinations, algorithms. Lect. 4 hrs. 4 hours credit U N D E R G R A D U A T E C A T A L O G 2 0 0 5 - 2 0 0 7 113
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