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Course Criteria
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2.00 Credits
An extensive review of the properties of integers; working with fractions, decimals, and rational numbers; the Euclidean algorithm; polynomials and operations on polynomials; irreducible verses reducible polynomials; factoring; B? ?out' s theorem; the division algorithm and long division; geometric sequence as an application; simplifying expressions involving polynomials; revisiting the basic algorithms of arithmetic using the concept of polynomials; and different number bases and operations in them as an extension. The course ends with an exit exam. This course, together with MATH 101B, is equivalent to MATH 101 in general studies. Placement in this sequence of courses is determined by SAT or ACT score as mandated by state policy.
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2.00 Credits
This course includes solving first and second degree equations; the relationship between factoring and finding roots; solving first and second degree polynomial inequalities; graphic representation of inequalities and equations; interval notation including unions of intervals; exponential notation; laws of exponents; working with exponents; simplifying expressions using exponents; and solving systems of equations in two unknowns. The course ends with an exit exam. This course, together with MATH 101A, is equivalent to MATH 101 in general studies. Prerequisite: MATH 101A.
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3.00 Credits
A study of the structure of mathematical systems and operations defined on these systems; historical development of numbers and number systems including contributions from diverse cultures; and elementary probability, statistics, and data analysis. Emphasis on building conceptual understanding and developing problem-solving skills. Appropriate use of technology will be incorporated throughout the course.
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3.00 Credits
Topics in college algebra include properties of the real numbers; radicals and rational exponents; operations on polynomials and rational expressions; solution of linear and quadratic equations and inequalities; functions, including graphs and composite functions; properties of linear functions; and systems of two linear equations and inequalities. This course does not fulfill the general studies requirement in mathematics. Prerequisites: ACFN 070 and 080, or ACFN 090 or satisfactory placement score.
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3.00 Credits
Topics in this course include solutions for a system of linear equations, matrix algebra, optimization problems and duality, counting arguments, combinations and permutations, elementary probability theory, Markov chains, elementary graph theory, and other applications arising out of finite mathematics. Prerequisite: MATH 105 or satisfactory math placement. Students in the Department of Computer Science, Mathematics, and Engineering must use this course instead of MATH 154 as the general studies requirement.
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3.00 Credits
This course explores the fundamental ideas of planar and spatial geometry. Content includes the analysis and classification of geometric figures; the study of geometry transformations; the concepts of tessellation, symmetry, congruence, and similarity; connection of geometry to other mathematical topics and to nature and art; and an overview of measurement. The course also includes an introduction to the use of computers in the teaching and learning of informal geometry.
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4.00 Credits
Topics in differential and integral calculus, with stress on their applications in business, biology, social, and behavioral sciences. Prerequisite: MATH 108 or satisfactory math placement test score.
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3.00 Credits
Topics from modern mathematics with particular emphasis on those with applications to computer science. Logic, sets, number systems and number theory, enumeration, graphs and trees, matrices, finite algebraic systems, and analysis of algorithms are examined. Prerequisite: MATH 108 or MATH 155.
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2.00 Credits
Classical introduction to Aristotelian logic using truth tables or Venn diagrams. Application to Boolean arithmetic and algebra. Positive and negative logic as in gate structures for digital circuits. Prerequisite: MATH 105, MATH 155, or MATH 101.
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1.00 Credits
Practical experience in teaching mathematics will be provided in a tutorial setting, under the guidance and supervision of a faculty member. Two or three hours of student-tutor interaction will be arranged each week. Prerequisite: MATH 207.
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