Math Course Prerequisites Effective Fall 2014

MPT=Math Placement Test

MPAL=Math Placement - ALEKS (score is percent)

Course

Enforced Minimum Passing Grade on Course Prereqs and on Placement Tests

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. PREREQS: Placement Test or Placement Test

MPT 05

MPAL 015

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 or Placement Test or Placement Test

C–

MPT 11

MPAL 030

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: MTH 065 or Placement Test or Placement

C–

MPT 11

MPAL 030

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 MTH 103 or Placement Test or Placement Test

C–

MPT 17

MPAL 046

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 MTH 103 or Placement Test or Placement Test

C–

MPT 17

MPAL 046

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 or Placement Test or Placement Test

C–

MPT 24

MPAL 060

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.

No prereqs.

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

C–

MPT 17

SATM 540 (SAT Math)

MTH 212 FOUNDATIONS OF ELEMENTARY MATHEMATICS (4) 
Rational and real numbers, probability, statistics, and informal geometry. PREREQS: MTH 211

C–

MTH 231 ELEMENTS OF DISCRETE MATHEMATICS (4) 
Elementary logic and set theory, functions, direct proof techniques, contradiction and contraposition, mathematical induction and recursion, elementary combinatorics, basic graph theory, minimal spanning trees. PREREQS: MTH 112 or Placement Test or Placement Test

C–

MPT 33

MPAL 075

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 or MTH 112) or Placement Test

C–

MPT 24

MPAL 060

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 or Placement Test or Placement Test

C–

MPT 24

MPAL 060

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 or Placement Test or Placement Test

C–

MPT 33

MPAL 075

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 or Placement Test or Placement Test and Honors College approval required.

C–

MPT 33

MPAL 075

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 or MTH 251H

C–

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 or MTH 251H and Honors College approval required.

C–

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 or MTH 252H and MTH 252 or MTH 252H

C–

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 or MTH 252H

C–

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 or MTH 252H and Honors College approval required.

C–

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 or MTH 254H

C–

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 or MTH 254H and Honors College approval required.

C–

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 MTH 254H and/or instructor approval required.

C–

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 MTH 254H and /or instructor approval required. Honors College approval required.

C–

MTH 306 MATRIX AND POWER SERIES METHODS (4) 
Introduction to matrix algebra, determinants, systematic solution to linear systems, and eigenvalue problems. Convergence and divergence of series with emphasis on power series, Taylor series expansions, convergence tests for power series, and error estimates for truncated series used in practical approximations. Lec/rec. PREREQS: MTH 252 or MTH 252H and (MTH 252 or MTH 252H)

C–

MTH 306H MATRIX AND POWER SERIES METHODS (4) 
Introduction to matrix algebra, determinants, systematic solution to linear systems, and eigenvalue problems. Convergence and divergence of series with emphasis on power series, Taylor series expansions, convergence tests for power series, and error estimates for truncated series used in practical approximations. Lec/rec. PREREQS: MTH 252 or MTH 252H and (MTH 252 or MTH 252H) and Honors College approval required.

C–

MTH 390 FOUNDATIONS OF ELEMENTARY MATHEMATICS (4) 
Measurement, congruence, similarity, coordinate and transformational geometry. PREREQS: MTH 212

C–