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MATH 1115: College Algebra
3.00 Credits
Rochester Community and Technical College
This is the first college level algebra course. Topics include but are not limited to: Polynomials, Rational, Exponential, and Logarithmic functions and their inverses, solving and graphing higher order equations, optimization applications, methods of solving systems or equations, and conic sections. (Prerequisites: MATH 0099 or MATH 0100 or Concurrent Enrollment in MATH 0915; READ 0900. Other Requirements: Prerequisites may be satisfied by equivalent Math and/or Reading placement scores.).
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MATH 1117: Precalculus
4.00 Credits
Rochester Community and Technical College
This is a college level Math course. Topics include trigonometric functions and their inverses, trigonometric identities and equations, applications of trigonometry, conic sections, sequences, series, and a review of algebra topics as needed. College level reading skills as demonstrated by completion of READ 0900 or equivalent placement score. (Prerequisites: MATH 1115 or concurrent enrollment in MATH 1115 with instructor permission.)
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MATH 1117 - Precalculus
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MATH 1119: Applied Calculus
3.00 Credits
Rochester Community and Technical College
This course is a college level introductory calculus course with an emphasis on applications. Topics include but are not limited to: limits, derivatives, continuity, first and second derivative test for relative extreme, applications of absolute max/min, integration, and continuous money flow. College level reading skills as demonstrated by completion of READ 0900 or equivalent placement score. (Prerequisites: MATH 1113 or MATH 1115 or MATH 1117.)
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MATH 1119 - Applied Calculus
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MATH 1127: Calculus I
5.00 Credits
Rochester Community and Technical College
This first calculus course in the sequence include the following topics: limits; continuity; differentiability; applications of differentiation including related rates; optimization; linear approximation and Newton's Method; function sketching; integration with applications including area, volumes of rotation, and work; introduction to the calculus of inverse functions including exponential, logarithmic and trigonometric functions. College level reading skills as demonstrated by completion of READ 0900 or equivalent placement score. (Prerequisites: MATH 1117. An appropriate placement score is equivalent to the prerequisite. Successful completion of prerequisite course with a grade of C or higher).
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MATH 1127 - Calculus I
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MATH 1128: Calculus II
5.00 Credits
Rochester Community and Technical College
This course is a second semester calculus course including topics of: inverse functions (exponential, logarithmic, trigonometric, etc.), techniques of integration, applications including arc length, surface area, force, and centers of mass, parametric forms including polar forms, sequences and series including Taylor series. College level reading skills as demonstrated by completion of READ 0900 or equivalent placement score. (Prerequisites: MATH 1127.)
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MATH 1128 - Calculus II
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MATH 2208: Fundamentals of Statistics
4.00 Credits
Rochester Community and Technical College
This course is an introduction and overview of math statistics. Topics will include (but not limited to) descriptive statistics, probability, confidence intervals, hypothesis testing, and linear regression. Computers and graphics calculators will be used extensively throughout the class in the classroom and computer lab setting. (Prerequisites: MATH 0099 or MATH 0100 or MATH 1111; READ 0900) (Other Requirements: Prerequisites may be satisfied by equivalent Math and/or Reading placement scores.)
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MATH 2218: Discrete Mathematics
4.00 Credits
Rochester Community and Technical College
This is a course for mathematics and/or computer science majors. Topics include sets, relations, symbolic language, graph theory, matrices, and Boolean algebra. College level reading skills as demonstrated by completion of READ 0900 or equivalent placement score. Successful completion of prerequisite courses with a grade of C or higher. (Prerequisites: MATH 1115.)
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MATH 2237: Multivariable and Vector Calculus
5.00 Credits
Rochester Community and Technical College
This course is first in a sequence which is a continuation of the first year of calculus. Topics are selected from the following: coordinate and vector geometry, vector valued functions, velocity-acceleration and curvature, cylindrical and spherical coordinate systems, partial differentiation and applications, double and triple integrals, Green's-Stokes' Divergence Theorems, and Frenet Formulas. (Prerequisites: MATH 1128.)
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MATH 2237 - Multivariable and Vector Calculus
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MATH 2238: Differential Equations and Linear Algebra
5.00 Credits
Rochester Community and Technical College
This course is an in-depth look at topics such as ordinary differential equations, vector spaces, systems, linear transformations, and applications. (Prerequisites: MATH 1128.)
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MATH 2238 - Differential Equations and Linear Algebra
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MATH 2350: Introduction to Mathematical Statistics
4.00 Credits
Rochester Community and Technical College
This course is an introduction to mathematical statistics. Topics will include probability, discrete and continuous random variables, estimation, hypothesis testing, and regression analysis. Computers and graphics calculators will be used extensively throughout the class in the classroom and computer lab setting. College level reading skills as demonstrated by completion of READ 0900 or equivalent placement score. (Prerequisites: MATH 1119 or MATH 1127).
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MATH 2350 - Introduction to Mathematical Statistics
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