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Course Criteria
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3.00 Credits
Survey of selected mathematical topics with emphasis on the nature of mathematical reasoning, discovery, and invention, and on the aesthetic, biographical, historical, and philosophical aspects of mathematics. PREREQ MATH 25 or satisfactory placement score.
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4.00 Credits
Systems of linear equations and inequalities, elementary matrix algebra, introduction to linear programming, elementary discrete probability and statistics. Emphasis on applications to business, economics and social sciences. MATH 130 cannot be taken for credit if taken after MATH 301, MATH 360, or MATH 361. PREREQ: MATH 25 or satisfactory placement score.
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3.00 Credits
Emphasis on the concept of functions as mathematical entities; domain, range, algebraic operations, composition, inverses, graphing. Polynomial functions, division of polynomials, roots, factor theorem, complex numbers, fundamental theorem of algebra. Rational functions and asymptotes. Logarithmic and exponential functions. Multi-level algebraic manipulation of functional expressions - e.g. difference quotients. Conic sections and other topics from analytic geometry as time permits. Credit cannot be granted for both MATH 143 and MATH 147. PREREQ: MATH 108 or satisfactory placement score.
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2.00 Credits
Right-triangle and circular function approaches to trigonometry. Trigonometric identities. Graphs of trigonometric functions; amplitude, frequency, phase shift. Inverse trigonometric functions and their graphs. Polar coordinates, polar representations of complex numbers. Credit cannot be granted for both MATH 144 and MATH 147. PREREQ: MATH 143 or satisfactory placement score.
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5.00 Credits
A single course equivalent to College Algebra (MATH 143) plus Analytic Trigonometry (MATH 144). Credit cannot be granted for both MATH 143 and MATH 147, nor for both MATH 144 and MATH 147. PREREQ: MATH 108 or satisfactory placement score.
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3.00 Credits
Fundamental algebraic skills needed for MATH 25. Review of arithmetic (fractions, negative numbers, and percents), an introduction to graphing, and an introduction to variables, simplifying algebraic expressions, and solving linear equations.
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4.00 Credits
Number systems from whole numbers through the reals: numeration, number operations, algorithms, and properties. Includes an integrated materials component which makes use of physical models and technology. PREREQ: MATH 108 or satisfactory placement score.
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4.00 Credits
A survey of the essentials of calculus, intended mainly for students in business and social sciences; emphasis on applications to such areas. Basic concepts and computational techniques for functions, derivatives, and integrals, with emphasis on polynomial, rational, exponential and logarithmic functions. Very brief introduction to calculus of functions of several variables. MATH 160 cannot be taken for credit after MATH 170. PREREQ: MATH 143 or satisfactory placement score.
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4.00 Credits
Definitions of limit, derivative and integral. Computation of the derivative, including logarithmic, exponential and trigonometric functions. Applications of the derivative, approximations, optimization, mean value theorem. Fundamental Theorem of Calculus, brief introduction to applications of the integral and to computations of antiderivatives. Intended for students in engineering, mathematics and the sciences. PREREQ MATH 143 and MATH 144, or MATH 147, or satisfactory placement score.
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4.00 Credits
A continuation of MATH 170. Applications of the integral, symbolic and numerical techniques of integration. Sequences and series, with an emphasis on power series and approximations, convergence and error bounds. Separable differential equations. Parametric curves in the plane and polar coordinates. Includes use of mathematical software such as Maple or Mathematica. PREREQ: MATH 170.
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