MTH 065 ELEMENTARY ALGEBRA (3)
Arithmetic of signed numbers, order of operations, simplifying algebraic expressions, solution of linear equations, and inequalities. Rules of exponents, addition, subtraction, and multiplication of polynomials, factoring, solution of quadratic equations by factoring, reducing rational expressions. Word problems involving linear equations, graphing of linear equations, inequalities.
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MTH 095 INTERMEDIATE ALGEBRA (3)
Addition, subtraction, multiplication, and division of rational expressions, long division of polynomials, solution of fractional equations, applications involving linear equations. Fractional equations, inequalities, literal equations, and variations. Negative and fractional exponents, radicals, solution of quadratic equations, and complex numbers. Cartesian coordinates, graphs of linear equations and inequalities, distance formula, slope, equations of lines, solutions of systems of linear equations in two unknowns and inequalities.
PREREQS:
MTH 065
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MTH 102 ALGEBRAIC FOUNDATIONS (3)
This course is designed primarily for EOP students. They will use various computing technologies to explore realistic and interesting situations in which algebra is used. As they work through explorations, they will work with many of the fundamental ideas of algebra, ideas they will find important in their daily lives.
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MTH 103 ALGEBRAIC REASONING (4)
A combination of cooperative learning and individual instruction is used to promote student development of algebraic reasoning processes and skills.
PREREQS:
Previous algebra course.
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MTH 105 INTRODUCTION TO CONTEMPORARY MATHEMATICS (3)
Elementary linear programming, combinatorics, descriptive statistics, elementary probability, exponential growth and decay, examples of major mathematical ideas and models. Lec/rec. (Bacc Core Course)
PREREQS:
MTH 095 or equivalent high school preparation.
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MTH 111 COLLEGE ALGEBRA (4)
Polynomial equations and inequalities, polynomial functions and graphs, inverse functions, exponential and logarithmic functions, elementary mathematical modeling and applications. Lec/rec. (Bacc Core Course)
PREREQS:
MTH 095 or equivalent high school preparation.
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MTH 112 ELEMENTARY FUNCTIONS (4)
Triangle trigonometry, circular functions and graphs, trigonometric equations and identities, inverse trigonometric functions, polar coordinates, vectors and applications. Lec/rec. (Bacc Core Course)
PREREQS:
MTH 111
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MTH 199 SPECIAL TOPICS (1-16)
Maximum 3 credits per term, 9 credits total. Does not meet university group requirement in physical science.
This course is repeatable for a maximum of 9 credits.
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MTH 211 FOUNDATIONS OF ELEMENTARY MATHEMATICS (4)
Introduction to problem solving, sets, whole numbers, number theory, fractions, decimals, percent, ratio and proportion, integers. Intended primarily for prospective elementary teachers. (Bacc Core Course)
PREREQS:
MTH 095 or MTH 103 or MTH 111 or MTH 112 or Placement Test or Placement Test
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MTH 212 FOUNDATIONS OF ELEMENTARY MATHEMATICS (4)
Rational and real numbers, probability, statistics, and informal geometry.
PREREQS:
MTH 211
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MTH 231 ELEMENTS OF DISCRETE MATHEMATICS (4)
Elementary logic, mathematical induction, sets, relations and functions, recurrence equations, algorithms.
PREREQS:
Placement in MTH 251
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MTH 232 ELEMENTS OF DISCRETE MATHEMATICS (4)
Combinatorics, algorithms and complexity, graphs and trees. Lec/rec.
PREREQS:
MTH 231
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MTH 241 CALCULUS FOR MANAGEMENT AND SOCIAL SCIENCE (4)
Elementary differential and integral calculus of polynomial, logarithmic, and exponential functions and their applications to business, management and social sciences. Lec/rec. (Bacc Core Course)
PREREQS:
MTH 111
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MTH 245 MATHEMATICS FOR MANAGEMENT, LIFE, AND SOCIAL SCIENCES (4)
Techniques of counting, probability and elements of statistics including binomial and normal distributions. Introductory matrix algebra. Elements of linear programming. Lec/rec. (Bacc Core Course)
PREREQS:
MTH 111
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MTH 251 DIFFERENTIAL CALCULUS (4)
Differential calculus for engineers and scientists. Rates of change: the derivative, velocity, and acceleration. The algebraic rules of differential calculus and derivatives of polynomial, rational, and trigonometric functions. Maximum-minimum problems, curve sketching, and other applications. Antiderivatives and simple motion problems. (Bacc Core Course)
PREREQS:
MTH 112
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MTH 251H DIFFERENTIAL CALCULUS (4)
Differential calculus for engineers and scientists. Rates of change: the derivative, velocity, and acceleration. The algebraic rules of differential calculus and derivatives of polynomial, rational, and trigonometric functions. Maximum-minimum problems, curve sketching, and other applications. Antiderivatives and simple motion problems. (Bacc Core Course)
PREREQS:
MTH 112 and Honors College approval required.
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MTH 252 INTEGRAL CALCULUS (4)
Definite integrals, elementary applications to area, force, and work. Integral tables and basic techniques of integration, calculus of logarithmic and exponential functions, polar coordinates, applications to areas, volumes, force, work, and growth and decay problems. Lec/rec.
PREREQS:
MTH 251
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MTH 252H INTEGRAL CALCULUS (4)
Definite integrals, elementary applications to area, force, and work. Integral tables and basic techniques of integration, calculus of logarithmic and exponential functions, polar coordinates, applications to areas, volumes, force, work, and growth and decay problems.
PREREQS:
MTH 251 and Honors College approval required.
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MTH 253 INFINITE SERIES AND SEQUENCES (4)
Indeterminate forms. Improper integrals. Sequences and series, especially Taylor's formula and power series. Applications to numerical estimation with error analysis. Series with complex terms and the Euler identities. Lec/rec.
PREREQS:
MTH 252
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MTH 254 VECTOR CALCULUS I (4)
Vectors, vector functions, and curves in two and three dimensions. Surfaces, partial derivatives, gradients, and directional derivatives. Multiple integrals in rectangular, polar, cylindrical, and spherical coordinates. Physical and geometric applications. Lec/rec.
PREREQS:
MTH 252
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MTH 254H VECTOR CALCULUS I (4)
Vectors, vector functions, and curves in two and three dimensions. Surfaces, partial derivatives, gradients, and directional derivatives. Multiple integrals in rectangular, polar, cylindrical, and spherical coordinates. Physical and geometric applications. Lec/rec.
PREREQS:
MTH 252 and Honors College approval required.
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MTH 255 VECTOR CALCULUS II (4)
Brief review of vector functions, space curves, gradients, and directional derivatives. Introduction to vector analysis: vector fields, divergence, curl, line integrals, surface integrals, conservative fields, and the theorems of Gauss and Stokes with applications to force, work, mass, and charge. Lec/rec.
PREREQS:
MTH 254
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MTH 255H VECTOR CALCULUS II (4)
Brief review of vector functions, space curves, gradients, and directional derivatives. Introduction to vector analysis: vector fields, divergence, curl, line integrals, surface integrals, conservative fields, and the theorems of Gauss and Stokes with applications to force, work, mass, and charge.
PREREQS:
MTH 254 and Honors College approval required.
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MTH 256 APPLIED DIFFERENTIAL EQUATIONS (4)
First order linear and nonlinear equations, and second order linear equations. Applications to electric circuits and mechanical oscillators. Introduction to the Laplace transform and higher order equations. Solution methods and applications appropriate for science and engineering. (Familiarity with complex numbers and Euler's identities is highly desirable.) Lec/rec.
PREREQS:
MTH 254 or instructor approval required.
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MTH 256H APPLIED DIFFERENTIAL EQUATIONS (4)
First order linear and nonlinear equations, and second order linear equations. Applications to electric circuits and mechanical oscillators. Introduction to the Laplace transform and higher order equations. Solution methods and applications appropriate for science and engineering. (Familiarity with complex numbers and Euler's identities is highly desirable.)
PREREQS:
MTH 254 or instructor approval required. Honors College approval required.
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MTH 268 MATHEMATICAL IDEAS IN BIOLOGY (4)
Mathematical models of biological systems, with emphasis on population dynamics and ecology. Integral calculus with applications to biology. CROSSLISTED as FW 268.
PREREQS:
MTH 251
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MTH 299 SPECIAL TOPICS (1-16)
Maximum 3 credits per term, 9 credits total.
This course is repeatable for a maximum of 9 credits.
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