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MAT 135: Calculus
4.00 Credits
Franklin College - Indiana
The concept of differentiation is developed using limits and focusing on algebraic, exponential and logarithmic functions. Applications of derivatives in the sciences and economics are presented and an introduction to integration concludes the course. The mathematics is presented from analytical, graphical and numerical perspectives, with extensive use of technology. MAT 135 may be taken to satisfy LA 103, the liberal arts core curriculum mathemtics requirement. Prerequisite: MAT 125 or competency in pre-calculus as demonstrated on the mathematics placement exam. Fall and spring.
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MAT 140: Introduction to the Mathematical Sciences
1.00 Credits
Franklin College - Indiana
An introduction to mathematical processes, methods of problem solving, topics of current interest in mathematics, and the role of mathematics in the workplace. Some topics will extend and supplement the content of MAT 135 Calculus. Prerequisite or corequisite: MAT 135. Fall.
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MAT 140 - Introduction to the Mathematical Sciences
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MAT 142: Calculus II
4.00 Credits
Franklin College - Indiana
A continuation of MAT 135. Course material includes applications and techniques of integration, use of a computer algebra system that allows symbolic manipulation, the calculus of transcendental functions and functions utilizing parametric equations and polar equations. Prerequisites: MAT 135 and MAT 140 or permission of instructor. Spring.
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MAT 142 - Calculus II
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MAT 181: Discrete Mathematics I
3.00 Credits
Franklin College - Indiana
This course provides the foundation for analyzing how well algorithms perform- algorithm correctness, algorithm efficiency and algorithm termination are all explored. Analytical methods explored include inductive reasoning, recursive algorithms and deductive reasoning. Classic set theory, methods of counting and basic probability are also studied as scaffolding for the study of algorithms. There will be an extensive use of technology throughout the semester. Prerequisite: MAT 125 or competency in high school algebra as demonstrated on the mathematics placement exam. Fall.
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MAT 181 - Discrete Mathematics I
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MAT 182: Discrete Mathematics II
3.00 Credits
Franklin College - Indiana
This course continues, in the spirit of MAT 181, to delve into algorithm analysis. More advanced counting techniques are explored, including the inclusion/exclusion principle and solving recurrence relations. An emphasis is placed on structures that are used in both algorithm implementations and algorithm analyses such as trees and graphs. Boolean algebra and basic models of computation are also explored. Prerequisite: MAT 181. Spring.
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MAT 182 - Discrete Mathematics II
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MAT 224: Basic Applied Statistics
3.00 Credits
Franklin College - Indiana
An introduction to statistical reasoning for students in life and social sciences using the computer as a tool to analyze data. Data reduction, probability concepts, sampling theory, hypothesis testing, estimation, chisquare, t-test, analysis of variance, correlation and regression, and some non-parametric tests are included. Does not count towards a mathematics major. Same as PSY 224. Students cannot receive credit for both. Prerequisite: LA 103 or MAT 135. Fall and Spring.
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MAT 224 - Basic Applied Statistics
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MAT 233: Linear Algebra
3.00 Credits
Franklin College - Indiana
The course begins with a study of the solution of systems of linear equations, including matrices, linear transformations, and vector space concepts. Determinants, eigenvalues, and least-squares techniques are discussed. Emphasizes applications and the process of experimentation, conjecture, and proof, incorporating use of technology. Prerequisite: MAT 142. Spring.
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MAT 233 - Linear Algebra
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MAT 240: Methods of Problem Solving
3.00 Credits
Franklin College - Indiana
An overview of various methods of problem solving to discover patterns, construct and modify conjectures, and develop proofs of those conjectures in topics including number theory, algebra of complex numbers, and set theory. Proof by induction will be discussed. Incorporates use of computer algebra systems. Prerequisite: MAT 142 or consent of instructor. Fall.
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MAT 240 - Methods of Problem Solving
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MAT 253: Calculus III
3.00 Credits
Franklin College - Indiana
Multidimensional calculus. Partial derivatives, multiple integrals, alternative coordinate systems, with applications to volumes, surface area, and maxima and minima of functions of two variables. Incorporates use of a computer algebra system for graphics display and symbolic manipulation. Includes topics in analytic geometry. Prerequisite: MAT 142. Fall.
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MAT 256: Differential Equations
3.00 Credits
Franklin College - Indiana
A study of ordinary differential equations, their applications, and selected methods of solutions both in closed form and by numerical methods. Includes qualitative methods and use of computer technology. Prerequisite: MAT 142. Spring, odd academic years.
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MAT 256 - Differential Equations
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