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MAT 110: Elementary Functions
3.00 Credits
Rocky Mountain College
Fall and spring semesters. 3 semester hours. A standard pre-calculus course emphasizing the function concept. Special attention is paid to trigonometric, exponential, and logarithmic functions. Analytical geometry may also be discussed. Prerequisite: MAT100 or satisfactory score on a placement exam.
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MAT 110 - Elementary Functions
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MAT 152: To Infinity and Beyond
3.00 Credits
Rocky Mountain College
Spring semester. 3 semester hours. Exploration of a variety of modern mathematical topics. Topics will illustrate mathematics as a way of representing and understanding patterns and structures, as an art, as a tool in other disciplines and as a historical force. Topics may include infinity, chaos, fractals, symmetry, networks and others. Prerequisite: MAT100 or the equivalent.
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MAT 152 - To Infinity and Beyond
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MAT 175: Calculus I
5.00 Credits
Rocky Mountain College
Fall semester. 5 semester hours. This course is a study of the functions of one real variable and includes a brief review of circular functions. The ideas of limit, continuity, and differentiation are explained and applied to physical problems. Topics include the use of approximations and problem solving. The use of graphing calculators is required. Prerequisite: satisfactory score on a placement exam or MAT110.
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MAT 175 - Calculus I
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MAT 176: Calculus II
5.00 Credits
Rocky Mountain College
Spring semester. 5 semester hours. Continuing the study of the functions of one real variable, the idea of integration is applied to physical problems. Introduction to sequences and series. The use of graphing calculators is required. Prerequisite: MAT175.
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MAT 176 - Calculus II
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MAT 210: Probability and Statistics
3.00 Credits
Rocky Mountain College
Fall, spring, and summer semesters. 3 semester hours. This course provides a non-calculus-based study of discrete probability theory and its statistical applications. Use of permutations and combinations in computing the probability of discrete events is explored. Distribution theory and its applications in hypothesis testing and setting confidence intervals are discussed. Prerequisite: MAT100 or satisfactory score on a placement exam.
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MAT 210 - Probability and Statistics
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MAT 212: How to Read and Write Proofs
3.00 Credits
Rocky Mountain College
Spring semester, alternate years. 3 semester hours. Students are introduced to the different methods of mathematical proofs. Emphasis is placed on critical reading of proofs and the ability to correct errors as well as on writing correct proofs. This course is designed as a precursor to advanced math courses and should be taken during the freshman or sophomore year. Prerequisite: MAT175.
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MAT 212 - How to Read and Write Proofs
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MAT 219: Graph Theory
3.00 Credits
Rocky Mountain College
On demand. 3 semester hours. Topics include paths, Euler and Hamiltonian problems, planar graphs, trees, directed and undirected graphs, networks, and connectedness. Applications to various disciplines will be included. Computational algorithms will be developed as appropriate. Prerequisite: MAT100 or satisfactory score on a placement exam.
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MAT 219 - Graph Theory
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MAT 220: Elementary Number Theory
3.00 Credits
Rocky Mountain College
Fall semester, alternate years. 3 semester hours. Topics include axiomatic development of the positive integers, construction of the real number system, and study of equations with integral solutions. Divisibility properties, prime numbers, and the analysis of congruencies will be studied. Prerequisites: MAT175 and MAT212.
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MAT 220 - Elementary Number Theory
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MAT 256: Discrete Structures and Computability
3.00 Credits
Rocky Mountain College
On demand. 3 semester hours. The mathematical and theoretical underpinnings of the science of computer science will be explored. Students will be introduced to Boolean algebra and elementary logic and their application to computer implementation and algorithm development. This course explores the historical development of computer science from its roots in mathematical models including early models of computation, such as Turing machines and other finite state machines. Prerequisite: CSC131 or CSC143 and either MAT110 or MAT175.
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MAT 256 - Discrete Structures and Computability
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MAT 275: Calculus III
3.00 Credits
Rocky Mountain College
Fall semester. 3 semester hours. Vector functions of one or more real variables, scalar functions of several variables, multiple integration, and surface theory via vectors are among the topics studied. Increasing emphasis on modeling of physical problems and the analysis of geometrical problems in higher dimensional space. Prerequisite: MAT176.
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MAT 275 - Calculus III
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