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MAT 327: Modern Geometry
3.00 Credits
Grace College and Theological Seminary
This course is a thorough investigation of the axioms and theorems of Euclidean geometry. Throughout this course we will also cover several topics in non-Euclidean geometry, symbolic logic, and axiomatic systems in general. This course is designed to thoroughly equip a future high school teacher with the content knowledge needed to successfully teach geometry. Prerequisite: MAT223. Three hours.
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MAT 327 - Modern Geometry
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MAT 338: Number Theory
3.00 Credits
Grace College and Theological Seminary
This is a course on integers, and covers a variety of theorems dealing with mathematical induction, prime numbers, congruence equations, and arithmetic functions. Throughout this course we lay the foundation for understanding the RSA encryption algorithm. We finish this course by studying the RSA encryption algorithm and its applications. Prerequisite: MAT122. Three hours.
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MAT 338 - Number Theory
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MAT 364: Methods of Teaching Mathematics
3.00 Credits
Grace College and Theological Seminary
This course is designed to help prepare the future high school teacher for his or her career in the classroom. We investigate the standard high school math curriculum, and study methods of teaching mathematical concepts to students at various levels within the curriculum. Prerequisite: MAT223. Three hours.
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MAT 364 - Methods of Teaching Mathematics
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MAT 393: Independent Study in Mathematics
3.00 Credits
Grace College and Theological Seminary
An independent study in mathematics is designed for students who have excelled in several post-calculus classes and have a desire to study a topic that is not currently available in the curriculum. A student wishing to take an independent study will establish a topic to study and seek out a faculty member to whom he or she will be responsible. Once a topic and a faculty member are determined, permission for the independent study must be obtained from the mathematics curriculum director. Independent study in mathematics is a non-repeatable class. Prerequisites: MAT224; availability of professor; permission of the mathematics curriculum director. Three hours.
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MAT 393 - Independent Study in Mathematics
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MAT 402: Senior Seminar in Mathematics
3.00 Credits
Grace College and Theological Seminary
This is a capstone course for the mathematics and the mathematics education majors. This course will cover several topics that draw together the various mathematical disciplines, and will portray the global perspective of mainstream mathematics. This course may meet in conjunction with other capstone courses within the science division for a portion of the semester. Prerequisites: declared mathematics or mathematics education major; MAT224. Three hours.
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MAT 402 - Senior Seminar in Mathematics
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MAT 414: Modern Algebra
3.00 Credits
Grace College and Theological Seminary
Standard algebra is a study of the arithmetic structure of numbers, and of functions of numbers. There are other objects that we study in mathematics besides numbers, and consequently other arithmetic structures; for example, matrices, functions, and permutations. Modern Algebra is the study of general arithmetic structures, and of functions of these general structures. In this course we study the axioms of group theory and develop the body of theorems associated with these axioms. If time permits, we will also investigate the axioms and theorems of ring theory and field theory. Prerequisite: MAT223. Three hours.
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MAT 414 - Modern Algebra
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MAT 420: Probability Theory
3.00 Credits
Grace College and Theological Seminary
In this course we study the axioms and theorems of probability theory. We study probability distributions of discrete and continuous random variables, and many of their applications. Throughout this course we will use a significant amount of calculus to develop the theory of probability. Prerequisite: MAT223. Three hours.
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MAT 420 - Probability Theory
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MAT 421: Statistical Inference
3.00 Credits
Grace College and Theological Seminary
This course is the supplement to MAT420. We will study techniques for using statistics to make inferences about the populations from which data is collected. We will study how to analyze data, how to verify assumptions about the probability models that are being used, and how to reject a null hypothesis so as to draw conclusions. Prerequisite: MAT420. Three hours.
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MAT 421 - Statistical Inference
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MAT 422: Regression and Time Series Analysis
3.00 Credits
Grace College and Theological Seminary
In this course we will study statistical modeling applications that arise when data is making itself available over time, or that has already made itself known without any intentional experimenting on the part of the statistician (the data is often historical, and is therefore not controlled). This course will conform to the new examination requirements of the Society of Actuaries. Prerequisite: MAT420. Three hours.
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MAT 422 - Regression and Time Series Analysis
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MAT 423: Sampling Theory
3.00 Credits
Grace College and Theological Seminary
In this course we will cover the theory of taking samples and surveys from finite populations in various ways such as simple random sampling, stratified sampling, cluster sampling, etc., and will show how the various sampling techniques have ramifications on the accuracy of the estimators sought. Prerequisite: MAT420. Three hours.
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MAT 423 - Sampling Theory
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