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MATH 151: Elements of Mathematics I
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Explores mathematical systems, systems of numeration, developing the set of integers, rational numbers, real numbers, and the four function operation concepts.Restriction: Appropriate major: special education, speech and language pathology, family and consumer sciences education, art education, human development and family science, early childhood education, early childhood/special education, or vocational technical education. Also students seeking a certificate in vocational technical education certificate or career and technical education, AAS.
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MATH 152: Elements of Mathematics II
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Determines appropriate methods for organizing and analyzing data, solves problems using statistical and/or probabilistic metrics, analyzes geometric shapes to determine congruence and similarity, explores topics related to coordinate and transformational geometry, and engages in activities involving measurement concepts.
Prerequisite:
( MATH 151 MATH 151 or MA 151 )
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MATH 153: Elements of Algebra
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Explores some of the basic algebraic concepts including the real number system and solving linear equations and inequalities with one and two variables. An emphasis will also be placed on studying the coordinate plane, exploring the slope of a line, graphing lines, and writing equations of lines. Connections are made with the teaching and learning of algebraic concepts in the elementary and middle schools.
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MATH 171: Introduction to Linear Algebra
3.00 Credits
Indiana University of Pennsylvania-Main Campus
An introduction to vector spaces, linear transformations, determinants, and matrix algebra. Topics are presented in a direct and intuitive approach.
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MATH 214: Probability & Stats-Business
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Studies the methods of describing data, probability theory, discrete and continuous random variables, sampling distributions, estimation and tests of hypothesis for means, proportions, and variance, and simple linear regression and correlation.
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MATH 216: Probability & Stats-Nat Scienc
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Frequency distributions, graphical representations of data, measures of central tendency and variation, correlation and regression, probability, probability distributions, and sampling distributions. Inferential statistics including confidence intervals and parametric and nonparametric tests of hypotheses. Emphasis is on applications in the natural sciences using graphing calculators and statistical software.
Prerequisite:
( MATH 121 or MA 121 ) or ( MATH 123 or MA 123 ) or MATH 125
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MATH 217: Probability and Statistics
3.00 Credits
Indiana University of Pennsylvania-Main Campus
An applied statistics course that uses basic statistical methodologies to explore data and answer research questions. Summarization, analysis and interpretation of data from the social sciences and other related areas. Topics include frequency distributions, graphical summaries, elementary probability, estimation, testing hypotheses, and correlation and regression. Emphasis upon applications using appropriate technology, as opposed to theoretical development of topics.
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MATH 225: Calculus III--Phys, Chem, Math
3.00 Credits
Indiana University of Pennsylvania-Main Campus
The third of a three semester sequence for math and science majors. Topics covering the calculus of functions of several variables include: vector functions and space curves arc length, curvature, partial derivatives, gradients, areas and volumes in various coordinate systems, Lagrange multipliers, line integrals, Green's Theorem, and applications of multiple integrals. (Trigonometric, exponential and logarithmic functions are included throughout the course.)
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MATH 271: Intro Mathematical Proofs
3.00 Credits
Indiana University of Pennsylvania-Main Campus
Explores basic ideas necessary to prove results in mathematics. Includes but is not limited to logic of mathematics, basic methods of proof, algebra of sets, relations and partitions of sets, functions, and mathematical induction.
Prerequisite:
( MATH 171 or MA 171 ) and ( MATH 121 or MA 121 or MATH 125 )
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MATH 272: Intro Mathematical Proofs II
3.00 Credits
Indiana University of Pennsylvania-Main Campus
A further study of the basic ideas of contemporary mathematics. Topics include but are not limited to mathematical induction, cardinality of sets, relations, methods of proof in number theory, analysis, and algebra.
Prerequisite:
( MATH 126 or MA 124 ) and ( MATH 271 or MA 271 )
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