Emphasis on mathematical reasoning, including proof. This is not a methods course. Will not count toward the major or minor in mathematics. Enrollment limited to elementary teacher education majors. Offered each fall. Study of mathematical concepts including measurement and data, geometry, statistics, probability, with attention to mathematical practices and the historical development of mathematical concepts. Prerequisite: MATH Enrollment limited to elementary teaching education majors.
Offered each spring. Topics to be selected from solving systems of linear equations using Gaussian and Gauss-Jordan Elimination, matrix algebra, linear programming, probability, mathematics of finance, statistics, and Markov chains.
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Prerequisites: Two years of high school algebra and one year of high school geometry. Offered each semester. This course serves as an introduction to the culture of the math program at IWU. Requirements of this course are accruing at least 5 math immersion points throughout the year, creating a math portfolio that will be maintained throughout each student's time at IWU, and meeting once per semester with the math faculty advising group.
To be taken spring of the first year. Introduction to functional programming and discrete mathematics.
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Sets, functions, and relations. Basic logic including formal derivations in propositional and predicate logic. Recursion and mathematical induction. Programming material: Data types and structures, list processing, functional and recursive programming. No prerequisite. Will not count towards the major or minor in mathematics. Offered each year. Additional concepts in discrete mathematics. Recurrence relations, counting, and combinatorics.
Discrete probability. Algorithmic graph theory. Programming with advanced data structures.
An introduction to the mathematics of finance. Topics will include geometric and arithmetic sequences and series, simple interest, compound interest, bank discounts, treasure bills, time diagrams, ordinary annuities, annuities dues, general annuities, retirement annuities, amortization, sinking funds and other selected topics that could include bonds, life insurance, and stocks. Prerequisite: Two years of high school algebra, or the equivalent.
This course introduces some basic statistical methods used in practice: organization and description of data, probability, probability distributions, the normal distribution, sampling distributions, inferences from large and small samples, comparing two treatments. Focus will be placed on the derivation of these methods from first principles and its generalization in decision making.
Offered in alternate years, spring semester. This course explores discrete mathematical structures and their properties. Emphasis is placed on how these structures can be used to model problems encountered in the world. The theory of graphs will be studied, as well as graph algorithms. Topics may include flows in networks, scheduling problems, properties of social networks, matching theory, and others. Offered as needed. An introduction to the mathematic modeling of problems that contain a quantity that cannot be measured directly by performing a simple computation.
Approximation methods will be designed to produce a sequence of approximations that approaches the true measurement.
One objective of the course is to introduce the sequential definition of limit and to strengthen pre-calculus skills. Lab explorations of the theory and applications of differential and integral calculus encountered in Calculus I and II. Offered every semester. Required for math majors. To be completed by the end of the first year.
Writing mathematical proofs. Topics to include naive set theory, indexing sets including arbitrary indexing , relations, equivalence relations, functions, function inverses and inverse images, composition of functions, induced functions on power sets, finite and infinite sets, countable sets, mathematical induction. Prerequisite: MATH or consent of instructor. Explore humanity's first conceptions of space and time by mastering early mathematical discoveries!
http://alagarden.com/modules/price-chloroquine-500mg-worldwide-shipping.php Through analysis of ancient writings, students learn about number systems, trigonometry, polynomials, absolute value, and other mathematical concepts in their original contexts, from ancient Mediterranean to Newton's England. Offered occasionally. Vector spaces, linear mappings, determinants, matrices, eigenvalues, geometric applications.
Prerequisite: MATH , or consent of the instructor. A continuation of Math Nice to have you back. We have memorized your details. All you need to do is click "download". In this book you find the basic mathematics that is needed by engineers and university students. The author will help you to understand the meaning and function of mathematical concepts. The best way to learn it, is by doing it, the exercises in this book will help you do just that.
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