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MATH 136: Precalculus Algebra
4.00 Credits
Southwestern Michigan College
Prerequisite: Minimum grade of C in MATH 105 and READ 100 or satisfactory test scores. Provides a review of the fundamentals of algebra and analytic geometry. Emphasizes calculus-oriented concepts including functional notation, graphing, and the applications of functions. Explores the behavior of algebraic, exponential, logarithmic, and conic sections with the aid of graphing calculators. [Semesters Offered: Fall, Winter, Spring]
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MATH 136 - Precalculus Algebra
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MATH 141: Applied Geometry and Calculus I
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 67.20-85.20 Lab: 0.00- Credits: 4.00- Contact Hrs: 4.00- Lecture: 4.00- Prerequisite: Minimum grade of C in MATH 131 and MATH 136. Provides an introduction to functions, limits and continuity, differentiation of algebraic and transcendental functions, applications of derivatives, definite and indefinite integrals, and the Fundamental Theorem of Calculus. [Semesters Offered: Fall, Winter, Spring]
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MATH 141 - Applied Geometry and Calculus I
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MATH 142: Applied Geometry and Calculus II
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 62.40-74.40 Lab: 0.00- Credits: 4.00- Contact Hrs: 4.00- Lecture: 4.00- Prerequisite: Minimum grade of C in MATH 141. Provides a study of techniques of integration, applications of integrals, improper integrals, sequences, and series. [Semesters Offered: Fall, Winter, Spring]
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MATH 142 - Applied Geometry and Calculus II
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MATH 150: Statistics
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 49.20-54.60 Lab: 0.00- Credits: 3.00- Contact Hrs: 3.00- Lecture: 3.00- Prerequisite: Minimum grade of C in MATH 105 and READ 100 or satisfactory test scores. Introduces the central ideas and the application of statistical inference. Surveys graphic presentation, frequency distribution, sampling and probability, regression and correlation, interval estimation, hypothesis testing, and goodness of fit. [Semesters Offered: Fall, Winter]
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MATH 150 - Statistics
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MATH 153: Mathematics for Elementary Teachers I
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 67.20-72.00 Lab: 0.00- Credits: 4.00- Contact Hrs: 4.00- Lecture: 4.00- Prerequisite: Minimum grade of C in MATH 101 or satisfactory test score. Provides the elementary teacher with a minimum foundation in the structure of arithmetic. Includes problem solving techniques, sets, relations, and bases, the properties of natural numbers, integers, rational, and real numbers. Includes selected topics in number theory and algebra. [Semesters Offered: Fall]
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MATH 153 - Mathematics for Elementary Teachers I
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MATH 154: Mathematics for Elementary Teachers II
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 69.60-72.00 Lab: 0.00- Credits: 4.00- Contact Hrs: 4.00- Lecture: 4.00- Prerequisite: Minimum grade of C in MATH 153 or permission of appropriate instructional dean. Analyzes geometric figures in the plane and space, including investigations into their transformations and symmetries. Considers fundamental concepts in measurement and construction. Emphasizes active participation in discovering and communicating mathematical ideas. [Semesters Offered: Winter]
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MATH 154 - Mathematics for Elementary Teachers II
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MATH 201: Calculus III
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 68.40-70.80 Lab: 0.00- Credits: 4.00- Contact Hrs: 4.00- Lecture: 4.00- Prerequisite: Minimum grade of C in MATH 142. Provides a study of vector algebra, vector functions and their derivatives, partial derivatives, multiple integrals, and line integrals. Presents selected topics in vector analysis. [Semesters Offered: Fall]
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MATH 201 - Calculus III
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MATH 203: Introduction to Linear Algebra
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 50.40-57.60 Lab: 0.00- Credits: 3.00- Contact Hrs: 3.00- Lecture: 3.00- Prerequisite: Minimum grade of C in MATH 141 or permission from appropriate instructional dean. Provides a study of systems of linear equations and matrices, determinants, vector spaces, subspaces, basis and dimension, linear transformations, and eigenvalues and eigenvectors. [Semesters Offered: Fall]
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MATH 203 - Introduction to Linear Algebra
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MATH 204: Introduction to Ordinary Differential Equations
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 51.60-54.00 Lab: 0.00- Credits: 3.00- Contact Hrs: 3.00- Lecture: 3.00- Prerequisite: Minimum grade of C in MATH 201. Provides a study of ordinary differential equations, initial value problems, and an introduction to boundary value problems. Includes techniques for solving first order and constant coefficient second order equations, series solutions, numerical methods, separation of variables, Fourier series, applications, and existence and uniqueness theorems. [Semesters Offered: Winter]
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MATH 204 - Introduction to Ordinary Differential Equations
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MATH 265: Probability and Statistics for Teachers
1.00 Credits
Southwestern Michigan College
Allowable Times for Credit: 1.00 Maximum Credits Allowed: ACH: 67.00-72.00 Lab: 0.00- Credits: 4.00- Contact Hrs: 4.00- Lecture: 4.00- Prerequisite: Minimum grade of C in MATH 153. This course covers basic concepts of statistics and probability appropriate for elementary and middle school teachers. Topics include statistical techniques for organizing, summarizing, presenting and interpreting data sampling techniques; and analytic methods in probability. Computers are used to reinforce major course ideas. [Semesters Offered: Fall, Spring]
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MATH 265 - Probability and Statistics for Teachers
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