MATH- Mathematics

NS, Q- This terminal mathematics course is designed for liberal and fine arts students. Course core topics include linear and exponential growth and decay models, proportional reasoning, personal finance, probability, and descriptive statistics. Additional topics may include discrete math topics such as graph theory or fair division, geometry/trigonometry, math in the arts, symbolic logic supporting probability, or other topics of the instructor's choice. Learners will work in teams on applications and examples relevant to humanities, social sciences and education. Content emphasis is on problem solving and quantitative reasoning. Students communicate results in oral and written form. Technology is integrated throughout the course. See syllabus for specific calculator recommendations.

IL, NS, Q- This 5-credit course is one quarter of the 2-quarter mathematics for elementary education sequence. Prospective or practicing elementary school teachers will investigate problem solving techniques and number theory related to topics taught at the K-8 level. Topics will include problem solving, set theory, number theory, multiplicative comparisons and reasoning, ratio, rates, proportions, patterns, functions, and the use of technology. Students will be required to complete 5 hours of classroom experience and submit an evaluation from the field site supervisor observing the student's work with children.

IL, NS, Q- This 5-credit course is one quarter of the 2-quarter mathematics for elementary education sequence. Prospective or practicing elementary school teachers will investigate problem solving techniques, geometry, probability, and statistics related to topics taught at the K-8 level. Topics will include problem solving, geometry and its applications, measurement, simulating probabilistic situations, sampling, organizing and interpreting data, graphing, and the use of technology. Students will be required to complete 5 hours of classroom experience and submit an evaluation from the field site supervisor observing the student's work with children.

NS,Q- This 5-credit, college-level math course is for students intending to pursue coursework in mathematics, the natural or computer sciences, or engineering. The course builds on the base of MATH 095 and assumes that the student plans on taking MATH&142. Learners investigate relations and functions in graphic, numeric, symbolic, and verbal forms. Modeling techniques are introduced while exploring exponential, logarithmic, polynomial, power, and rational functions. Learners investigate applications primarily from a science and engineering perspective. Students communicate results in oral and written form. Technology is integrated throughout the course and a graphing calculator is required.

NS, Q- This 5-credit math course is the second half of a two-course sequence designed to prepare students for calculus with an emphasis on those topics and applications most appropriate for a science and engineering curriculum. Topics are investigated graphically, numerically, symbolically, and verbally. Math topics include trigonometric functions, equations, identities, vectors, polar coordinates, parametric equations, and complex numbers. Students will model periodic, real-world problems. Technology is integrated throughout the course and a graphing calculator is required.

NS, Q- This math course provides an algebra-based interdisciplinary introduction to the core concepts of statistics and probability. The primary focus will be on- but not limited to-business, natural science, and social science applications. Learners will be introduced to various forms of descriptive statistics. Learners will also gain understanding of the basic tools of statistical inference and analysis while examining data, experiments, and readings in their field of study. Emphasis is on interpretation and calculation, and needed technology will be taught along with the subject matter. A graphing calculator is required.

NS, Q- This 5 credit math course provides an interdisciplinary introduction to the core concepts of calculus with a primary focus on applications from disciplines of economics and the social sciences. The content is applications in differential, integral and multivariable calculus with an introduction to The Fundamental Theorem of Calculus. Learners will continue to refine their independent study skills, cooperative problem solving, logically correct and mathematically precise writing and thinking, and their ability to use geometric, symbolic and analytic formats in presenting solutions to both abstract and real world applications. Technology is integrated throughout the course and a graphing calculator is required.

NS, Q- This 5-credit math course is the first quarter of the four-quarter calculus sequence that provides an interdisciplinary introduction to the core concepts of differential calculus with a primary focus on applications from the disciplines of mathematics, engineering, and the physical sciences. Content includes limits, theory and applications of differential calculus, and an introduction to basic antiderivatives. Learners will continue to refine independent study skills, cooperative problem solving, logically correct and mathematically precise writing and thinking, and their ability to use geometric, symbolic, and analytic formats in presenting solutions to both abstract and real-world applications. Classroom activities will include lecture/discussion and group work. Students will communicate their results in oral and written form. Graphing calculator required.

NS, Q- This 5-credit math course is the second quarter of the three-quarter calculus sequence. Primary content is integral calculus including applications of The Fundamental Theorem of Calculus and separable differential equations. Learners will continue to refine independent study skills, cooperative problem solving, logically correct and mathematically precise writing and thinking, and their ability to use geometric, symbolic, and analytic formats in presenting solutions to both abstract and real world applications. A graphing calculator is required.

NS, Q- This 5-credit math course is the third quarter of the four-quarter calculus sequence. Content includes infinite sequences and series, representation of functions as power series, vectors in two and three dimensions, differentiation, and integration of vector functions, functions of several variables, and partial derivatives with applications that include optimization, directional derivatives, and the gradient. Learners will continue to refine independent study skills, cooperative problem solving, logically correct and mathematically precise writing and thinking, and their ability to use geometric, symbolic, and analytic formats in presenting solutions to both abstract and real-world applications.

NS, Q- Content includes double and triple integrals and their applications, the chain rule, vector fields, line integrals and surface integrals, culminating in the theorems of Green and Stokes, and the Divergence Theorem. Additional topics may include parametric surfaces and their areas, an introduction to second order linear differential equations, series solutions of linear differential equations, applications in physics and engineering, or other topics of instructor¿s choice. Learners will become familiar with the vocabulary of the subject material, develop conceptual understanding of the important topics, use technology to implement their investigations, and analyze and communicate how the concepts can be applied to real-world situations. A graphing calculator is required for this math course.

This course reviews arithmetic skills and introduces algebraic notation, rules and concepts. Students explore linear relationships, with an emphasis on graphing and modeling data. Simplifying expressions and solving basic equations are also discussed. Learning to study math successfully, gaining confidence in approach and accuracy, and using a variety of ways of thinking about a single situation are outcomes for learners who take this course. Applications to real life are emphasized. A scientific calculator is required. NOTE: Credits for this course are not transferable, nor do they apply to any college degree or certificate.

This course is a fast-paced condensed version of MATH 085 designed for students who only need a refresher of Essentials of Intermediate Algebra topics in order to be ready for MATH 095, &107, &146, &131, &132. Students who placed into MATH 095 or higher may also be interested in taking this course in order to refine skills which are essential for successfully completing Algebra for Precalculus. A scientific calculator is required. Grading for this course is pass/fail only. NOTE: Credits for this course are not transferable, nor do they apply to any college degree or certificate.

This math course focuses on algebraic thinking and manipulation. Students will study various types of functions, including linear, exponential, and logarithmic. Graphical and algebraic representations of each type of function is discussed, as well as solving authentic situations with equations. Solving linear systems both graphically and algebraically, exponent properties, and polynomial operations are included. Modeling and interpreting results is emphasized. Learners will develop study skills and habits, collaborative learning skills, and the ability to express math in many forms while working with both abstract and real world applications. A scientific calculator is required. NOTE: Credits for this course are not transferable, nor do they apply to any college degree or certificate.

This course is a fast-paced condensed version of MATH 095 designed for students who only need a refresher of Algebra for Precalculus topics in order to be ready for precalculus level math. Students who placed into MATH&141 or MATH 147 may also take this course in order to refine skills which are essential for successfully completing their next math class. A graphing calculator is required. Grading for this course is pass/fail only. NOTE: Credits for this course are not transferable, nor do they apply to any college degree or certificate.

This course builds on the knowledge developed in MATH 085 and prepares students to take Precalculus classes. The study of functions is expanded to quadratic, rational, and radical models including graphical and equation representations. Modeling and interpreting results is emphasized. Learners will continue to refine study skills and habits, team skills, logic, and the ability to express math visually, symbolically, and in written forms while working with both abstract and real world applications. A graphing calculator is required. NOTE: Credits for this course are not transferable, nor do they apply to any college degree or certificate.

NS, Q - This college-level math course is for students intending to pursue coursework in business, the social or life sciences, or management. The course builds on the base of MATH 95 and assumes that the student plans on taking MATH&148. Relations and functions are investigated in graphic, numeric, symbolic, and verbal forms. Modeling techniques are introduced while exploring exponential, logarithmic, rational, polynomial, and power functions. Topics introduced include matrices, linear programming, population growth and math of finance. Special topics may include systems of non-linear equations, probability and counting, statistics, graph theory, and logistic functions. Applications are investigated primarily from a life and social science and a business and management perspective. Students communicate results in oral and written form. Technology is integrated throughout the course and a graphing calculator is required. See syllabus for specific calculator recommendations.

RE- Students will research and produce or perform a project in mathematical or an interdisciplinary topic emphasizing mathematics applications. The content, learning outcomes, and assessment methods of the project are developed by the supervising instructor and student(s). Prerequisite(s): Instructor permission.

RE- The instructor, possibly in collaboration with students, designs course content, activities, and learning outcomes that address a new topical or thematic approach to mathematics. Students will develop learning, thinking, communicating and interacting abilities. Prerequisite(s): Instructor permission.

IL, RE- Service learning provides a mechanism to combine academic studies with community service. In concert with a faculty advisor and community partner representative, students develop and apply mathematical skills and expertise in a community setting. Travel off-campus may be required. Prerequisite(s): Instructor permission.

NS, Q- This math course is an introduction to the vocabulary, concepts, methods, and applications of linear algebra. Learners will become familiar with vector spaces and their important subspaces. Students will connect systems of linear equations, with matrices and matrix algebra. The matrix as a linear transformation in Rn, will be developed leading to concepts of Kernal and Range. The importance of orthogonal sets, eigenspace, and diagonalization will be discovered. Students will be encouraged to conceptually understanding the algebraic and geometric aspects of linearity using technology and applications. Students will be instructed on the use of computer software and applications needed to complement their investigations and will analyze and communicate the modern applications of linear algebra. A scientific calculator is required.

NS, Q- Students in this math course will explore first- and second-order differential equations and utilize various methods including undetermined coefficients, variation of parameters, and Laplace transforms to solve these differential equations. Students will also investigate series solutions, numerical approaches, and matrix methods for systems of linear first-order differential equations. Emphasis will be placed on real-world applications and technology will be integrated throughout the course. A graphing calculator is required.

NS, Q- This math course surveys techniques of data analysis used in decision making and research. Learners will work with descriptive and inferential statistics while studying data, correlation, regression, central tendency, probability, randomness, normal distributions, confidence intervals, hypothesis testing, and tests of independence. Materials will focus on applications in business. Emphasis is on analysis, interpretation, and statistical thinking. Necessary technology will be taught along with the subject matter.

RE- Students will research and produce or perform a project in mathematical or an interdisciplinary topic emphasizing mathematics applications. The content, learning outcomes, and assessment methods of the project are developed by the supervising instructor and student(s). Prerequisite(s): Instructor permission.

RE- The instructor, possibly in collaboration with students, designs course content, activities and learning outcomes that address a new topical or thematic approach to mathematics. Students will develop learning, thinking, communicating, and interacting abilities. Prerequisite(s): Instructor permission.

IL, RE- Service learning provides a mechanism to combine academic studies with community service. In concert with a faculty advisor and community partner representative, students develop and apply mathematical skills and expertise in a community setting. Travel off-campus may be required. Prerequisite(s): Instructor permission.