MTH - Mathmatics

MTH20 Basic Mathematics

4 credits    (4 lec hrs/wk)  A course designed to: (1) introduce students to various applications of basic mathematics and (2) prepare students for elementary algebra by strengthening their foundations in the real number system. Topics include: whole numbers and their operations, fraction and decimal notation, ratio and proportion, percent notation, measurement and geometry, and solution of simple equations. Prerequisite: Appropriate score on placement test.

MTH55 Introductory Technical Mathematics 
  
4 credits    (4 lec hrs/wk)  This course mathematics topics including whole numbers and their operations, signed numbers and their operations, fraction and decimal notation, ratio and proportion, percent notation, 2-D geometry, and introduction to variables and linear equations and their application in technical scenarios involving measurement precision and accuracy, materials consumption, labor and production estimates, product design, dimensioning and tolerances, economical layout, and takeoffs and estimates.  Offered by the mathematics department in cooperation with the Career Technical Education faculty. Prerequisite:  Appropriate score on placement test.

MTH60 Algebra I

4 credits    (4 lec hrs/wk)  A study of the concepts and principles considered in algebra. Topics include: signed numbers; algebraic expressions; linear equations and inequalities; polynomial expressions, operations, and factorizations; quadratic equations.  Prerequisite: MTH20 with a “C” or better.  Appropriate score on placement test.  *This is not equivalent to the MTH60 that was previously offered.

MTH65 Algebra II

4 credits    (4 lec hrs/wk)  A study of the concepts and principles considered in algebra.  Topics include: graphing linear equations and functions; factoring; solving polynomial equations; rational expressions, equations, and functions; and systems of linear equations and matrices.  Prerequisite: MTH60 with a “C” or better.  Appropriate score on placement test.  *This is not equivalent to the MTH65 that was previously offered.

MTH80 Technical Mathematics I

4 credits    (4 lec hrs/wk)  This course includes basic algebraic concepts and their application in cechnical scenarios involving measurement precision and accuracy, materials consumption, labor and production estimates, product design, dimensioning and tolerances, economical layout, takeoffs and estimates, and metal bending and stretchouts.  Offered by the mathematics department in cooperation with the Career Technical Education faculty.  Prerequisite: MTH20 or MTH55 with a “C” or better.

MTH81 Applied Mathematics for Culinary Arts

4 credits     (4 lec, hrs/wk)  Includes basic algebraic concepts with culinary applications, basic statistics and graphing, graphing in a rectangular coordinate system, and weights, measures and metric conversions. Offered by the mathematics department in cooperation with the culinary education faculty. Enrollment in the culinary program required as a co-requisite for this course.  Prerequisites: MTH20 or MTH55 with a ‘C’ or better or appropriate placement test score.

MTH82 Business Mathematics

4 credits     (4 lec, hrs/wk)  This course includes basic algebraic concepts and their application in business scenarios involving discounts, pricing and inventory control, payrolls and banking, simple and compound interest, billing, accounting, taxes, and depreciation.  Offered by the mathematics department in cooperation with the business faculty.  Prerequisites: MTH20 or MTH55 with a ‘C’ or better or appropriate placement test score.

MTH85 Technical Mathematics II

3 credits     (3 lec hrs/wk)  Introduction to plane trigonometry emphasizing practical applications. Offered by the mathematics  department in cooperation with the Professional Technical Education faculty.   Prerequisite: MTH80 with a “C” or better.

MTH86 Computer Technology Mathematics

4 credits     (4 lec, hrs/wk)  This course introduces students to the foundational mathematics of the computer industry.  Mathematic topics including scientific notation, decimal, binary and hexadecimal arithmatic, sets and logic, and Boolean Algebra and their applications in the computer industry will be covered.  Offered by the mathematics department in cooperation with CS/CIS faculty.  Prerequisites: MTH60 with a ‘C’ or better or appropriate placement test score.

MTH95 Intermediate Algebra II

4 credits    (4 lec hrs/wk)  A study of the concepts and principles considered in intermediate algebra. Topics include: radical expressions, complex numbers, quadratic equations, quadratic functions and their graphs, conic sections, exponential and logarithmic functions and their graphs, exponential and logarithmic equations.  Prerequisite: MTH65 with a “C” or better.

MTH105 Introduction to Contemporary Mathematics

4 credits    (4 lec hrs/wk)  Topics include probability, statistics, mathematical modeling, problem solving, and logic. This course is designed for students who have completed 1.5 to two years of high school algebra and a year of geometry, who have a "non-science" major, and need to complete a term of college-level mathematics.  Prerequisite: MTH95 with a “C” or better or appropriate score on placement test.

MTH111 College Algebra

4 credits    (4 lec hrs/wk)  A study of the concepts and principles considered in precalculus. Topics include: rational expressions, solution of equations and inequalities, analysis of functions and their graphs, polynomial and rational functions and their graphs, systems of linear equations, sequences and series.  Prerequisite: MTH95 with a “C” or better or appropriate score on placement test.

MTH112 Elementary Functions

4 credits    (4 lec hrs/wk)  A study of the concepts and principles considered in precalculus. Topics include: exponential and logarithmic functions and their graphs; exponential and logarithmic equations; trigonometric functions and their graphs; trigonometric identities, equations, and formulas; oblique-triangle trigonometry; complex numbers, and DeMoivre’s theorem.  Prerequisite: MTH111 with a “C” or better or appropriate score on placement test.

MTH198/298 Independent Study

1-4 credits    (hrs to be arranged)  Prerequisite: Instructor consent.

MTH211 Fundamentals of Elementary Mathematics I

4 credits    (4 lec hrs/wk)  A foundation in mathematics for elementary teachers. Topics include: introduction to problem solving, number systems, number theory, logic, sets, relations, and functions.  Prerequisite: MTH95 with a “C” or better or appropriate score on placement test.

MTH212 Fundamentals of Elementary Mathematics II

4 credits    (4 lec hrs/wk)  A foundation in mathematics for elementary teachers. Topics include: rational numbers, exponents, decimals, and applications. Probability and statistics will be introduced.  Prerequisite: MTH211 with a “C” or better.

MTH213 Fundamentals of Elementary Mathematics III

4 credits    (4 lec hrs/wk)  A foundation in mathematics for elementary teachers. Topics include Euclidean geometry, constructive geometry, measurement, motion, and tessellation.  Prerequisite: MTH212 with a “C” or better.

MTH231 Elements of Discrete Mathematics I

4 credits    (4 lec hrs/wk)  Topics include: propositional calculus (the logic of compound statements), predicate calculus (the logic of quantified statements), elementary number theory and proof methods, sequences and mathematical induction and set theory. The first course of a two-term sequence strongly recommended for computer engineering, computer science, and mathematics majors.  Prerequisite: MTH251 with a “C” or better.

MTH232 Elements of Discrete Mathematics II

4 credits    (4 lec hrs/wk)  Topics include: functions, recursion, graphs of functions, coordinate diagrams, order notation, efficiency of algorithms, relations, partially and totally ordered sets, (topological) graph and tree theory. The second course of a two-term sequence strongly recommended for computer engineering, computer science and mathematics majors.  Prerequisite: MTH231 with a “C” or better.

MTH241 Calculus for Business and Social Science I

4 credits    (4 lec hrs/wk)  Introduction to differential and integral calculus of polynomial, rational, exponential, and logarithmic functions, with applications in the social and manager sciences. The emphasis will be on an intuitive approach and on the applications of differentiation. Prerequisite: MTH111 with a “C” or better or appropriate score on placement test.

MTH242 Calculus for Business and Social Science II

4 credits    (4 lec hrs/wk)  Introduction to differential and integral calculus of polynomial, rational, exponential, and logarithmic functions, with applications in the social and manager sciences. The emphasis will be on an intuitive approach and on the applications of integration. Prerequisite: MTH241 with a “C” or better or appropriate score on placement test.

MTH243/BA232 Introduction to Probability and Statistics

4 credits    (4 lec hrs/wk)  Introduces elementary statistics techniques to aid decision-making in the business environment. Emphasis is on statistical inference, probability, sampling, estimation, and hypothesis testing.  Prerequisite: MTH95 with a “C” or better.

MTH251 Calculus I (Differential Calculus)

4 credits    (4 lec hrs/wk)  Topics include: precalculus concepts and principles; limits and their properties, continuous functions; derivatives and their properties; the chain rule, implicit differentiation; relative extrema, the first and second derivative tests; applications involving rectilinear motion of a particle and optimization of functions. This course covers the standard differential calculus topics required for engineering, mathematics, and science majors.  Prerequisite: MTH112 with a “C” or better.

MTH252 Calculus II (Integral Calculus)

4 credits    (4 lec hrs/wk)  Topics include: anti-derivatives, Riemann sums, integrals and their properties; the first and second fundamental theorems of calculus; calculation of length, area, volume, work, and resultant force via integration; derivatives and integrals of exponential, logarithmic, hyperbolic, and various inverse functions; indeterminate forms and L'Hôpital's rule. This course covers the standard integral calculus topics required for engineering, mathematics, and science majors. Prerequisite: MTH251 with a “C” or better.

MTH253 Calculus III (Infinite Sequences and Series)

4 credits    (4 lec hrs/wk)  Topics include: principles of integral evaluation, improper integrals; infinite sequences and series; convergence tests for infinite series; Taylor series for functions; translated and rotated conic sections. This course covers the standard sequences and series topics required for engineering, mathematics, and science majors. Prerequisite: MTH252 with a “C” or better.

MTH254 Vector Calculus I  (Introduction to Vectors and Multidimensional Calculus)

4 credits    (4 lec hrs/wk)  Topics include: polar coordinates, conic sections, parametric equations, three-dimensional space, analytic geometry, vector algebra, space curves, vector-valued functions, vector calculus.  Prerequisite: MTH253 with a “C” or better.

MTH255 Vector Calculus II (Differential and Integral Vector Calculus)

4 credits    (4 lec hrs/wk)  Topics include: functions of several variables, partial derivatives; iterated integration; multiple integrals; divergence and curl of vector fields; line and surface integrals; Green's, Gauss', and Stokes' theorems. Prerequisite: MTH254 with a “C” or better.

MTH256 Differential Equations

4 credits    (4 lec hrs/wk)  Topics include: first-order linear and nonlinear ODEs, second order linear ODEs, series solutions to second-order linear ODEs, Laplace transforms, systems of linear ODEs.  Prerequisite: MTH255 with a “C” or better.

MTH260 Matrix Methods and Linear Algebra

4 credits    (4 lec hrs/wk)  Topics include: matrix concepts and algebra; determinants and inverses of matrices; solution methods for systems of linear equations; linear independence, linear transformations, and vector spaces; bases and coordinates; eigenvalues and eigenvectors; diagonalization of matrices. This course covers the standard linear algebra topics required for engineering, mathematics, and science majors.  Prerequisite: MTH255 with a “C” or better.

MTH265 Probability and Statistics with Calculus

4 credits    (4 lec hrs/wk)  Topics include: probability theory, random variables and probability distributions, probabilistic expectation, classical discrete and continuous probability distributions, sampling theory and sampling distributions; estimation and confidence intervals, hypothesis tests and statistical significance, curve fitting and regression analysis. A calculus-based probability and statistics course strongly recommended for engineering, mathematics, and science majors.  Prerequisite: MTH252 with a “C” or better.



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