DACC | Course Descriptions & Syllabi

Course Descriptions & Syllabi

Table of Contents | Areas of Study | Mathematics - 15 courses

MATH101 Basic Algebra (Fall, Spring, and Summer) -- 4.0 hours An introductory study of real numbers, polynomials, rational expressions, first and second degree equations, first degree inequalities, integer exponents, radicals and systems of linear equations.  Course offered for S/U grade only.

Prerequisites: Place into MATH101 with approved and documented math placement test scores or by completing DEVM099 with a grade of C or S (or better) or by completing DEVM100 with a grade of C (or better).

Notes: [ ] IAI:

MATH105 Intermediate Algebra (Fall, Spring and Summer) -- 3.0 hours A study of the properties of real numbers, the properties of exponents and radicals, the arithmetic of polynomial and rational expressions, linear and quadratic equations and inequalities, systems of linear equations, and an introduction to functions.  Problem-solving skills and critical-thinking skills are emphasized.  Meets 4 hours per week.  3 lecture hours, 1 lab hour.
Prerequisites: Place into MATH105 with approved and documented math placement test scores or by completing MATH101 with a grade of S.
Notes: [C] IAI:

MATH110 Computer Science (Fall) -- 3.0 hours This course is an introduction to the basic techniques of numerical analysis and programming using C++ on the microcomputers.  It includes a discussion of computer history, algorithms, flow charts, and the structure and design of software, including debugging. Students get actual experience operating a computer and peripheral equipment.  The course is designed for business and engineering students. Class meets 4 hours per week.  2 lecture hours, 2 lab hours.

Prerequisites: MATH120 (Calculus & Analytic Geometry I, M1 900 EGR 901 MTH 901) or MATH125 (Introductory Analysis I, Calculus for Business & Sciences, M1 900) with a grade of C or better.

Notes: This course involves a great deal of work on the students’ part and would be nearly impossible for the student to master the content without persistently working the problems. Students are expected to spend an additional 4-5 hours per week outside of class to complete all assignments. Course activities include: (1) Speaking assignments; (2) Case Studies; (3) Lectures; (4) Videos or Invited Speakers. The class web page is updated every week, which provides supplemental information such as announcements, lecture notes, homework assignment, and students’ grades.

[T] IAI: EGR 922 MTH 922

MATH111 College Algebra (Fall, Spring and Summer) -- 5.0 hours
A review of the fundamental topics of algebra, including the real and complex number systems, simplification and manipulation of algebraic expressions involving polynomials, rational exponents, radicals, and fractions, and the solution of polynomial equations and inequalities.  Emphasis is placed on the study of the following functions: polynomial, rational, exponential, and logarithmic and their applications. These will be explored using traditional graphing techniques and also using graphing calculators. Prerequisites:
Place into MATH111 with approved and documented math placement scores or by completing MATH105 with a grade of C or better.
Notes: [T] IAI:

MATH114 Trigonometry (Fall and Summer) -- 3.0 hours The study of the six trigonometric and circular functions, their inverses, the identities associated with these functions, and their application to problem solving.  A graphing calculator is recommended.

Prerequisites: Place into MATH114 with approved and documented math placement test scores or by completing MATH111 with a grade of C or better.

Notes: [T] IAI: MTM 901

MATH115 Survey of Statistics (Statistics for non-math majors) (Fall, Spring and Summer) -- 3.0 hours The study of basic statistical techniques.  Topics include the nature of data, graphical representations of data, descriptive measures of centrality, dispersion, and position; probability concepts, binomial and normal distributions; sampling concepts, inferential statistics and hypothesis testing; analysis of linear regression concepts such as correlation coefficient and slope of the regression line; instruction on the writing of statistical reports and drawing conclusions from data analysis; use of standard statistical software packages.  Knowledge of computers is helpful, but not required.  Access to Excel required for online class.  A TI-83/83+ or TI-84/84+ graphing calculator is required for all sections.

Prerequisites: Place into MATH115 with approved and documented math placement test scores or by completing MATH105 with a grade of C or better.

Notes: [T] IAI: M1 902

MATH118 Introduction to Mathematics (Fall & Spring) -- 4.0 hours An overview of ideas and concepts in mathematics.  Topics from algebra, geometry, theory of numbers, mathematical logic, probability, statistics, as well as instructional techniques used in the classroom.
Prerequisites: Place into MATH118 with approved and documented math placement test scores or by completing MATH101 with a grade of S.
Notes: [T] IAI:

MATH120 Calculus & Analytic Geometry I (Fall and Spring) -- 5.0 hours
First course in calculus and analytic geometry.  Basic techniques of differentiation and integration with applications.  Graphing calculator recommended.

Prerequisites:
Place into MATH120 with approved and documented math placement test scores or by completing both MATH111 (College Algebra) and MATH114 (Trigonometry) with a grade of C or better.

Notes: [T] IAI: M1 900 EGR 901 MTH 901

MATH125 Introductory Analysis I (Calculus for Business & Sciences) (Fall and Spring) -- 4.0 hours A study of advanced concepts of functions and graphs.  Basic techniques of differentiation and integration of linear, polynomial, rational, exponential, and logarithmic functions with applications to business and social sciences.  Not for Math and Science Majors.

Prerequisites: Place into MATH125 with approved and documented math placement test scores or by completing MATH111 with a grade of C or better.

Notes: Credit not given for MATH125 and MATH120.

[T] IAI: M1 900

MATH130 Calculus & Analytic Geometry II (Spring) -- 5.0 hours
The second course in calculus and analytic geometry.  Topics include techniques of integration and differentiation of exponential, logarithmic, trigonometric, and hyperbolic functions; limit of indeterminate forms; polar coordinates; parametric equations; conic sections; infinite series. Both the understanding of theoretical concepts and the ability to use manipulative techniques are considered of prime importance. A TI-83 or better calculator is recommended.

Prerequisites:
Completion of MATH120 (Calculus & Analytic Geometry I, M1 900 EGR 901 MTH 901) with a grade of C or better.

Notes:
This course involves a great deal of work on students’ part and would be nearly impossible for the student to master the content without persistently working the problems. As prerequisite, students are expected to possess the knowledge of calculus I. Students are expected to spend an additional 5-6 hours per week outside of class to complete all assignments. To achieve the general education goals and learning outcomes, students will communicate meaningfully in writing while presenting information. Students will translate quantifiable problems into mathematical terms and solve these problems using mathematical operations. Students will construct graphs and charts, interpret them, and draw appropriate conclusions. Students will also demonstrate critical thinking skills in the processes of problem solving. Course activities include: (1) Speaking assignments: students will present research individually or in groups using current technology to support the presentation (e.g., Power Point); students will participate in discussions and debates related to the topics in the lessons. (2) Case Studies: Complex situations and scenarios will be analyzed in cooperative group settings or as homework assignments. (3) Lectures: This format will include question and answer sessions to provide interactivity between students and the instructor. (4) Videos or Invited Speakers: Related topics will provide impetus for discussion. The class web page is updated every week, which provides supplemental information such as announcements, lecture notes, homework assignment, and students’ grades.

[T] IAI: M1 900 EGR 902 MTH 902

MATH135 Intro. Analysis II (Finite Math) (Fall and Spring) -- 3.0 hours An introduction to finite mathematics for students in the social sciences and business.  Basic ideas of logic, set theory, probabilities, vectors, and matrices with applications.  Instruction on computer programming techniques using calculators.  Not for Math or Science majors.  May be taken before MATH 125.
Prerequisites: Place into MATH135 with approved and documented math placement test scores or by completing MATH111 with a grade of C or better.
Notes: [T] IAI: M1 406

MATH137 Introduction to Linear Algebra (Spring) -- 4.0 hours This course is a study of introductory linear algebra.  Basic techniques are introduced involving vectors and matrices; vector spaces and subspaces; linear dependence, independence, and transformations and dimension; determinants; and orthogonality.

Prerequisites: Place into MATH137 with approved and documented math placement test scores or by completing MATH111 with a grade of C or better.

Notes: [T] IAI: MTH 911

MATH140 Calculus & Analytic Geometry III (Fall) -- 3.0 hours
The third course in calculus and analytic geometry. Topics include vectors in 2 and 3 dimensions, vector operations, lines and planes in space, quadric surfaces, cylindrical and spherical coordinates, partial derivatives, directional derivatives, gradients, double and triple integrals and their applications.  Both the understanding of theoretical concepts and the ability to use manipulative techniques are considered of prime importance. A TI-83 or better calculator is recommended.

Prerequisites:
Completion of MATH130 (Calculus & Analytic Geometry II, M1 900 EGR 902 MTH 902) with a grade of C or better.

Notes:
This course involves a great deal of work on the students’ part and would be nearly impossible for the student to master the content without persistently working the problems. As prerequisite, students are expected to possess the knowledge of calculus I and II. Students are expected to spend an additional 3-4 hours per week outside of class to complete all assignments. To achieve the general education goals and learning outcomes, students will communicate meaningfully in writing while presenting information. Students will translate quantifiable problems into mathematical terms and solve these problems using mathematical operations. Students will construct graphs and charts, interpret them, and draw appropriate conclusions. Students will also demonstrate critical thinking skills in the processes of problem solving. Course activities include: (1) Speaking assignments: students will present research individually or in groups using current technology to support the presentation (e.g., Power Point); students will participate in discussions and debates related to the topics in the lessons. (2) Case Studies: Complex situations and scenarios will be analyzed in cooperative group settings or as homework assignments. (3) Lectures: This format will include question and answer sessions to provide interactivity between students and the instructor. (4) Videos or Invited Speakers: Related topics will provide impetus for discussion. The class web page is updated every week, which provides supplemental information such as announcements, lecture notes, homework assignment, and students’ grades.

[T] IAI: M1 900 EGR 903 MTH 903

MATH161 Statistics (Fall, Spring & Summer) -- 3.0 hours MATH 161 is an introductory course in statistics at the non-calculus level.  Topics include Graphical Inference, Numerical Descriptive Inference, Probability, Binomial Distribution, Hypergeometric Distribution, Normal Distribution, Students’ t-Distribution, Testing of Hypothesis, Estimations, Comparisons, Small Samples, Inference and Linear Regression with a focus on Correlation Analysis.  The course is integrated with a statistical computer package (Microsoft Excel), allowing for hands-on computations for most of the areas listed above.  No computer experience required.  A TI 83 or TI 84 calculator is recommended.  Access to Excel required for online class.

Prerequisites: Place into MATH161 with approved and documented math placement test scores or by completing MATH111 with a grade of C or better.

Notes: [T] IAI: M1 902 BUS 901

MATH211 Differential Equations (Spring) -- 3.0 hours This is the first course regarding the theory and application of differential equations. Students will learn graph method, numerical method, and analytical method to solve different equations with the emphasis in the analytical method. Topics include first-order, second-order and higher-order differential equations; linear systems of differential equations, Laplace transforms, series solutions, and numerical methods. Both the understanding of theoretical concepts and the ability to use manipulative techniques are considered of prime importance.

Prerequisites: MATH140 (Calculus & Analytic Geometry III, M1 900 EGR 903 MTH 903) with a grade of C or better.

Notes: This course involves a great deal of work on the students’ part and it would be nearly impossible for the student to master the content without persistently working the problems. As prerequisite, students are expected to possess the knowledge of calculus I, II, and III. Students are expected to spend an additional 3-4 hours per week outside of class to complete all assignments. To achieve the general education goals and learning outcomes, students will communicate meaningfully in writing while presenting information. Students will translate quantifiable problems into mathematical terms and solve these problems using mathematical operations. Students will construct graphs and charts, interpret them, and draw appropriate conclusions. Students will also demonstrate critical thinking skills in the processes of problem solving. Course activities include: (1) Speaking assignments: students will present research individually or in groups using current technology to support the presentation (e.g., Power Point); students will participate in discussions and debates related to the topics in the lessons. (2) Case Studies: Complex situations and scenarios will be analyzed in cooperative group settings or as homework assignments. (3) Lectures: This format will include question and answer sessions to provide interactivity between students and the instructor. (4) Videos or Invited Speakers: Related topics will provide impetus for discussion. The class web page is updated every week, which provides supplemental information such as announcements, lecture notes, homework assignment, and students’ grades.

[T] IAI: EGR 904 MTH 912

[C] indicates a career course.

[T] indicates a transfer course. Transfer courses can be counted towards a transfer degree. Transferability for specific institutions and majors varies. Consult a counselor for this information.

IAI indicates Illinois Articulation Initiative course code(s).