Mathematics Courses
MTH 086 – Basic Math Skills (New 8-week course beginning Fall 2009)
IAI: None 1.4
Basic Math Skills is designed for students who need a review of basic mathematical skills in preparation for further studies in mathematics courses. Topics include operations with whole numbers and fractions. Emphasis is placed on accurate calculations; no calculators will be used through the entire module. Study skills will be incorporated throughout the course. Placement into MTH 086 is according to placement test scores or on a voluntary basis. Credit earned does not count towards any degree, nor does it transfer.
Prerequisites: None
Credit: 2 semester hours
Lecture: 2 Lab: 0
MTH 088 – Prealgebra Part I (New 8-week course beginning Fall 2009*)
IAI: None 1.4
Prealgebra Part I includes a review of basic arithmetic skills while introducing algebra concepts. Topics include operations with whole numbers, integers, fractions, and mixed numbers, solving equations, and problem solving. No calculators will be used through the entire module. Study skills will be incorporated throughout the course. Placement into MTH 088 is according to placement test scores or on a voluntary basis. Credit earned does not count toward any degree, nor does it transfer.
Prerequisite: MTH 086, or equivalent, with a grade of “C” or higher or appropriate placement score.
Credit: 2 semester hours
Lecture: 2 Lab: 0
MTH 089 – Prealgebra Part II (New 8-week course beginning Fall 2009*)
IAI: None 1.4
Prealgebra Part II continues work in prealgebra concepts. Topics include operations with decimals, ratio, proportion, percent, graphing ordered pairs, introduction to graphing linear equations, geometry, and measurement. Study skills will be incorporated throughout the course. Credit earned does not count toward any degree, nor does it transfer.
Prerequisite: MTH 088 with a grade of “C” or higher
Credit: 2 semester hours
Lecture: 2 Lab: 0
MTH 090 - Prealgebra (Last offered in Summer 2009*)
Prealgebra is designed for students who need a review of basic arithmetic skills that incorporates a continuous introduction of algebra concepts. The course addresses study skills necessary to achieve success within mathematics courses. Through a journal, students address math anxiety and writing exercises related to math. Placement into MTH 090 is according to entrance assessment scores or on a voluntary basis. (4 credits)
Prerequisite: None
*Beginning in Fall 2009, MTH 090 will be replaced with two 8-week modules, MTH 088 and MTH 089.
MTH 091 – Beginning Algebra Part I (New 8-week course beginning Fall 2009**)
IAI: None 1.4
Beginning Algebra Part I will cover real numbers, solving linear equations and inequalities including applications, and graphing linear equations and inequalities. Study skills will be incorporated throughout the course. Placement into MTH 091 is according to placement test scores or on a voluntary basis. Credit earned does not count toward any degree, nor does it transfer.
Prerequisite: MTH 088 and MTH 089, or equivalent, with grades of “C” or higher in both or appropriate placement score.
Credit: 2 semester hours
Lecture: 2 Lab: 0
MTH 092 – Beginning Algebra Part II (New 8-week course beginning Fall 2009**)
IAI: None 1.4
Beginning Algebra Part II continues work in basic algebra concepts. It will cover operations on systems of equations in two variables, polynomials, factoring, dimensional analysis, ratio and proportion. Study skills will be incorporated throughout the course. Credit earned does not count toward any degree, nor does it transfer.
Prerequisite: MTH 091 with a grade of “C” or higher.
Credit: 2 semester hours
Lecture: 2 Lab: 0
MTH 093 – Intermediate Algebra Part I (New 8-week course beginning Fall 2009***)
IAI: None 1.4
Intermediate Algebra Part I includes a review of topics from beginning algebra with additional work in linear equations and inequalities and systems of equations. The course will also cover absolute value equations and inequalities as well as rational expressions and equations. Placement into MTH 093 is according to placement test scores or on a voluntary basis. Credit earned does not count toward any degree, nor does it transfer.
Prerequisite: MTH 091 and MTH 092, or equivalent, with grades of “C” or higher in both or appropriate placement score.
Credit: 2 semester hours
Lecture: 2 Lab: 0
MTH 094 - Intermediate Algebra Part II (New 8-week course beginning Fall 2009***)
IAI: None 1.4
Intermediate Algebra Part II covers functions, radicals, and quadratic equations. Credit earned does not count toward any degree, nor does it transfer.
Prerequisite: MTH 093 with a grade of “C” or higher
Credit: 2 semester hours
Lecture: 2 Lab: 0
MTH 095 - Elementary Algebra (Last offered in Summer 2009**)
Elementary Algebra is a course in the fundamental operations of algebra intended for students who lack credit in one year of elementary algebra or desire a review of this subject matter. This course is considered equivalent to a one-year course in high school algebra. The topics included are first and second-degree equations, signed numbers, inequalities, polynomials, factoring, fractions, graphing, systems of linear equations, functions, and the number system. Credit earned does not count toward any degree, nor does it transfer. (5 credits)
Prerequisite: MTH 090 or equivalent with a grade of C or higher
**Beginning in Fall 2009, MTH 095 will be replaced with two 8-week modules, MTH 091 and MTH 092.
MTH 096 – Combined Beginning and Intermediate Algebra
IAI: None 1.4
Combined Beginning and Intermediate Algebra is a one semester course covering both beginning and intermediate algebra. The topics included are real number operations and properties, linear equations and inequalities, graphing, functions, polynomials, factoring, rational expressions, systems of equations, radical expressions, and quadratic equations. The course will introduce exponential and logarithmic functions if time permits. Credit earned does not count toward any degree, nor does it transfer.
Prerequisite: MTH 088 and MTH 089, or equivalent, with grades of “A” in both or a sufficiently high placement test score or consent of instructor.
Credit: 6 semester hours
Lecture: 6 Lab: 0
MTH 097 – Elementary Plane Geometry
IAI: None 1.4
Elementary Plane Geometry is a course in the fundamental concepts of geometry intended for students who lack credit in one year of elementary geometry or desire a review of this subject matter. This course is considered equivalent to a one-year course in high school geometry. The topics included are deductive reasoning and proof, congruent triangles, parallel and perpendicular lines, parallelograms and other polygons, ratio and proportion, similarity, right triangles and the Pythagorean Theorem, circles, perimeter, area, volume and construction. Credit earned does not count toward any degree, nor does it transfer. This course is repeatable one time.
Prerequisite: MTH 091 and MTH 092, or equivalent, with grades of “C” or higher in both.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 099 - Intermediate Algebra (Last offered in Summer 2009***)
Intermediate Algebra is a review of elementary algebra with additional work in linear equations and inequalities, quadratic equations, systems of linear equations, polynomials, rational expressions, and radical expressions. The course will introduce exponential and logarithmic functions if time permits. Credit earned does not count toward any degree, nor does it transfer. (4 credits)
Prerequisite: MTH 095 or equivalent with a grade of C or higher
***Beginning in Fall 2009, MTH 099 will be replaced with two 8-week modules, MTH 093 and MTH 094.
MTH 100 - Technical Mathematics
IAI: None 1.2
Technical Mathematics is primarily for technology students. It is designed for students with a good algebraic preparation and includes basic study and applications of trigonometry. The course includes a study of exponents, radicals, and logarithms.
Prerequisite: Geometry and Intermediate Algebra with grades of “C” or higher in both courses.
Credit: 5 semester hours
Lecture: 5 Lab: 0
MTH 115 - General Education Mathematics
IAI: M1 904 1.1
General Education Mathematics focuses on mathematical reasoning and the solving of real-life problems, rather than on routine skills and appreciation. Three or four topics are studied in depth, with at least 3 chosen from the following list: geometry, counting techniques and probability, graph theory, logic/set theory, mathematics of finance, and statistics. The use of calculators and computers is strongly encouraged.
Prerequisite: Geometry and Intermediate Algebra with grades of “C” or higher in both courses.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 120 - College Algebra
IAI: None 1.1
College Algebra includes a review of intermediate algebra, though it covers the overlapping material more quickly and at a deeper level. The course develops the concept of a function and its graph, inverse functions, exponential functions and their applications, and systems of linear equations and the matrix methods useful in solving those systems. The course will also cover the theory of equations. Optional topics to be covered if time permits are sequences and series, the binomial theorem and mathematical induction.
Prerequisite: Geometry and Intermediate Algebra with grades of “C” or higher in both courses.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 125 - Plane Trigonometry
IAI: MTM 901 1.1
Plane Trigonometry is a study of measures of angles, trigonometric functions of acute and general angles, inverse functions, graphs, fundamental identities, trigonometric formulas and equations, applications, vectors, complex numbers, and topics in analytic geometry.
Prerequisite: MTH 120 or equivalent with a grade of “C” or higher.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 132 - Precalculus Mathematics
IAI: None 1.1
Precalculus Mathematics is intended for students preparing for MTH 135 and covers the material of MTH 120 and MTH 125 at a more rapid pace than those individual courses. Among the topics covered in this course are: functions and graphs, including linear, polynomial, rational, exponential, and logarithmic functions; complex numbers and theory of equations; trigonometric functions, their basic properties and graphs; identities; inverse trigonometric functions; trigonometric equations; Law of Sines, Law of Cosines; conics, parametric equations, and polar coordinates. Optional topics will be covered as time permits, e.g. DeMoivre’s theorem and Nth roots, sequences, mathematical induction, and the bionomial theorem. Students may not earn more than six credits for any combination of MTH 120, 125, and 132.
Prerequisite: Geometry and Intermediate Algebra with grades of “C” or higher in both courses.
Credit: 5 semester hours
Lecture: 5 Lab: 0
MTH 135 - Calculus with Analytic Geometry I
IAI: M1 900-1 EGR 901,
IAI: MTH 901 1.1
Calculus with Analytic Geometry I is a first course in calculus. Topics included are functions, limits, continuity, derivatives, applications of derivatives, integrals, exponential and logarithmic functions, inverse functions.
Prerequisite: MTH 120 and MTH 125, or MTH 132, or equivalent with a grade of “C” or higher.
Credit: 5 semester hours
Lecture: 5 Lab: 0
MTH 160 - Topics From Finite Mathematics
IAI: M1 906 1.1
Topics From Finite Mathematics is for students enrolled in computers and information systems, business, or the social sciences. Topics include simultaneous equations, matrices, linear programming, mathematics of finance, probability and statistics. This course is not intended to apply toward a major or minor in mathematics.
Prerequisite: : MTH 120 or equivalent with a grade of “C” or higher.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 164 - The Computer in Mathematics – C/C++
IAI: EGR 922, MTH 922
(IAI approval pending) 1.1
The Computer in Mathematics C/C++ is a problem-oriented approach using the computer in the study of mathematics. Programs will be written and run to aid understanding of such topics as infinite series, logical relations, approximations, interpolation, graphing and matrices. Problem formulation, algotrithm development, and aspects of program testing and debugging will be discussed..
Prerequisite: MTH 135 or equivalent with a grade of “C” or higher
Credit: 4 semester hours
Lecture: 4 Lab: 0
MTH 211 - Calculus for Business and Social Sciences
IAI: M1 900-B 1.1
Calculus for Business and Social Sciences is an elementary treatment of topics from differential and integral calculus, with applications in the social sciences and business. Topics included are polynomial and exponential functions and their derivatives, as well as integration. Each of these topics is explored with an eye on its usefulness as a tool to answer questions in those fields of major interest to the students. This course is not intended to apply toward a major or a minor in mathematics.
Prerequisite: MTH 120 or equivalent with a grade of “C” or higher.
Credit: 4 semester hours
Lecture: 4 Lab: 0
MTH 216 - Mathematics for Elementary Teachers I
IAI: None 1.1
Mathematics for Elementary Teachers I is for students intending to major in elementary education. This course focuses on mathematical reasoning and problem-solving using manipulatives, calculators, and microcomputers. Topics include sets, the origin of numbers and numerals, systems of numeration, functions, whole numbers, number theory, integers, rational numbers and irrational numbers, and the real number system. The MTH 216-217 course sequence fulfills the two-course mathematical content requirement for Illinois state certification in elementary teaching.
Prerequisite: Geometry and Intermediate Algebra with grades of “C” or higher in both courses.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 217 - Mathematics for Elementary Teaching II
IAI: M1 903 1.1
Mathematics for Elementary Teaching II is for students intending to major in elementary education. The course focuses on mathematical reasoning and problem-solving using manipulatives, calculators, and microcomputers. Topics include statistics, probability, basic geometric shapes and their properties, measurement, triangle congruence and similarity, coordinate geometry, and transformational geometry. The MTH 216-217 course sequence fulfills the two-course mathematical content requirement for Illinois state certification in elementary teaching.
Prerequisite: MTH 216 or equivalent with a grade of “C” or higher.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 220 - Elements of Statistics
IAI: M1 902 1.1
Elements of Statistics is intended primarily for students in life science or social science, or others interested in elementary statistics. Topics included are measures of central tendency and variability, graphical presentation of data, normal and binomial distributions, t- and chi-square distributions, sampling, and correlation. This course is not intended to apply toward a major or minor in mathematics.
Prerequisite: Geometry and Intermediate Algebra with grades of “C” or higher in both courses.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 235 - Calculus with Analytic Geometry II
IAI: M1 900-2 EGR 902,
IAI: MTH 902 1.1
Calculus with Analytic Geometry II is a continuation of MTH 135. Topics included are applications of the definite integral, techniques of integration, parametric equations, polar coordinates and infinite series.
Prerequisite: MTH 135 or equivalent with a grade of “C” or higher.
Credit: 4 semester hours
Lecture: 4 Lab: 0
MTH 236 - Calculus with Analytic Geometry III
IAI: M1 900-3 EGR 903,
IAI: MTH 903 1.1
Calculus with Analytic Geometry III is a continuation of MTH 235. Topics included are analytic geometry of three-dimensions, vectors, partial derivatives, multiple integrals, vector calculus, and differential equations.
Prerequisite: MTH 235 or equivalent with a grade of “C” or higher.
Credit: 4 semester hours
Lecture: 4 Lab: 0
MTH 240 - Differential Equations
IAI: EGR 904, MTH 912 1.1
Differential Equations is a course in the formulation, solution, and application of first- and simple higher-order differential equations. Topics included are first- and second-order ordinary differential equations with applications; simultaneous differential equations with applications; solution of differential equations by varied techniques, including Laplace transforms, numeric and/or series methods; an introduction to partial differential equations, boundary value problems and Fourier series.
Prerequisite: MTH 236 or equivalent with a grade of “C” or higher, or concurrent enrollment in MTH 236.
Credit: 3 semester hours
Lecture: 3 Lab: 0
MTH 250 - Modern Linear Algebra
IAI: MTH 911 1.1
Modern Linear Algebra is a study of elementary topics of linear algebra, in which systems of equations and matrices are used as vehicles for the discussion of vector spaces, subspaces, independence, bases, dimension, linear transformations, and similarity. The study will also consider applications of these ideas and techniques to selected areas such as linear differential equations, approximation problems (least-squares best fit to data; Fourier series), linear programming (the simplex algorithm), Markov chains, Leontief economic models, genetics, and computer graphics.
Prerequisite: MTH 236 or equivalent with a grade of “C” or higher, or concurrent enrollment in MTH 236.
Credit: 3 semester hours
Lecture: 3 Lab: 0
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