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Course Criteria
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3.00 Credits
Introduction to reasoning, proof, and exposition in mathematics. Topics include: Boolean logic, set theory, counting techniques, functions, mathematical induction, permutations, and the proofs of various elementary theorems. Prerequisite: Mathematics 101, passed with a grade of Cor higher, or placement level 3. Course Type(s): None
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1.00 Credits
Computer laboratory exercises to complement classroom instruction. Emphasis is placed on the use of algorithmic techniques in solving mathematical problems. Students will develop computer programs to successfully implement the algorithms. First in a three-course (one-credit each) computer laboratory experience for mathematics majors. Several projects, such as: traveling salesperson problem, linear and binary search algorithms, Huffman coding, and random walk simulation, Horner's algorithm for evaluating polynomials, and string arithmetic algorithm. Corequisite: Mathematics 120 or 125. Course Type(s): None
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1.00 Credits
Continuation of Mathematics 131L. Possible topics in this second laboratory include: approximation methods for instantaneous rate of change, Newton's algorithm for estimating roots, calculating Taylor series approximation errors, Euler's algorithm for numerically solving differential equations, numerical integration algorithms, and Monte Carlo integration. Prerequisite: Mathematics 131L, passed with a grade of C- or higher. Corequisite: Mathematics 126. Course Type(s): None
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1.00 Credits
Continuation of Mathematics 132L. Possible topics in this third laboratory include: simplex algorithm, finding bases for vector spaces, division algorithm and Euclidean algorithm, Chinese remainder theorem, and estimating stochastic matrices. Prerequisite: Mathematics 132L, passed with a grade of C- or higher. Corequisite: Mathematics 221. Course Type(s): None
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3.00 Credits
Analysis of data, probability, random variables, normal distribution, sampling theory, confidence intervals, and statistical inference. Not open to computer science majors or to students required to complete Mathematics 125, except software engineering majors. Prerequisite: Mathematics 101, 105, or 115, passed with a grade of C- or higher, or Mathematics placement exam score at the Mathematics 109 level. Course Type(s): None
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1.00 - 3.00 Credits
An intensive study of a particular subject or problem in mathematics to be announced prior to registration. The course may be conducted on either a lecture-discussion or a seminar basis. Prerequisite: As announced in the course schedule. Course Type(s): None
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3.00 Credits
Careful examination of mathematical ideas behind the mathematics taught in grades K-6, their history, and applications to daily life. Intended primarily for future elementary- school teachers to provide them with a better understanding of the mathematics they will teach. This course, along with MA 204, Foundations of Elementary Mathematics II, will also be of value for any student who wants a better understanding of these ideas. Focus on understanding and exploring mathematics through problem solving, projects, group explorations, use of manipulatives, and some use of technology. MA 203 concentrates on problem solving, whole number arithmetic and theory, discrete math, integers, fractions, decimals, and algebraic concepts. MA 203 does not count toward the mathematics major or minor requirements. Prerequisite: Mathematics 050. Course Type(s): None
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3.00 Credits
Careful examination of mathematical ideas behind the mathematics taught in grades K-6, their history and applications to daily life. Intended primarily for future elementary- school teachers to provide them with a better understanding of the mathematics they will teach. This course, along with MA 203, Foundations of Number Systems I, will also be of value for any student who wants a better understanding of these ideas. Focus on understanding and exploring mathematics through problem solving, projects, group explorations, use of manipulatives, and some use of technology. Topics in MA 204 include: fractions, ratios and percents, data analysis, counting and probability, geometry of shape, measurement, and measurement geometry (perimeter, area, surface area, volume). MA 204 does not count toward the mathematics major or minor requirements. Prerequisite: Mathematics 203, passed with a grade of Cor higher. Course Type(s): None
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3.00 Credits
Elementary methods of solution, nth order linear equations, systems of linear equations, Laplace transform methods, numerical solutions, and initial and boundary value problems. Prerequisite: Mathematics 126, passed with a grade of Cor higher. Course Type(s): None
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3.00 Credits
Development of mathematical concepts from primitive counting methods through the invention of calculus, including the history of computers and computing. Prerequisite: Mathematics 126, passed with a grade of Cor higher. Course Type(s): None
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