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Course Criteria
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3.00 Credits
Studies elementary set theory, numeration systems, algorithms of arithmetic, elementary number theory, integers, rational numbers and problem-solving strategies. Special Note: MATH A211 and MATH A212 with a minimum grade of C are required to meet State of Alaska teacher certification standards.
Prerequisite:
MATH A121 UA C OR MATH A151 UA C OR STAT A200 UA C
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3.00 Credits
Studies functions, informal geometry, measurement, statistics and probability. Special Note: MATH A211 and MATH A212 with a minimum grade of C are required to meet State of Alaska teacher certification standards.
Prerequisite:
MATH A121 UA C OR MATH A151 UA C OR STAT A200 UA C
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3.00 Credits
Covers functions and graphs, differentiation, exponential and logarithmic functions, antidifferentiation and integration, and functions of several variables. Applies these mathematical concepts.
Prerequisite:
MATH A121 UA C OR MATH A151 UA C OR AX1 078 OR AX2 078 OR AX3 078 OR AX4 078 OR AX5 078
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4.00 Credits
A first course in single-variable calculus. Topics include limits; continuity and differentiation of functions; applications of the derivative to graphing, optimization and rates of change; definite and indefinite integration; and the fundamental theorem of calculus. Registration Restrictions: If the prerequisite is not satisfied, an approved UAA placement test is required.
Prerequisite:
(MATH A151 UA C AND MATH A152 UA C ) OR MATH A155 UA C OR AX1 078 OR AX2 078 OR AX3 078 OR AX4 078 OR AX5 078
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4.00 Credits
Further topics in single-variable calculus, including techniques of integration, applications of integration, convergence of sequences and series, parameterized curves, and polar coordinates. Registration Restrictions: If the prerequisite is not satisfied, an approved UAA placement test is required.
Prerequisite:
MATH A251 UA C
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4.00 Credits
Multivariable calculus. Topics include vectors in two and three dimensions; differential calculus of functions of several variables; multiple integration; vector calculus, including Green's and Stokes' theorem; and applications. Registration Restrictions: If the prerequisite is not satisfied, an approved UAA placement test is required.
Prerequisite:
MATH A252 UA C
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3.00 Credits
Introduces concepts of discrete mathematics including relations and graph theory along with prerequisite topics including sets, logic and mathematical proof. Registration Restrictions: If the prerequisite is not satisfied, an approved UAA placement test is required.
Prerequisite:
MATH A151 UA C OR MATH A251 UA C
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1.00 Credits
Introduces the major topical areas of mathematics, tools and research methods of mathematicians, and potential career paths in mathematics. Required eportfolio is begun in this course. Opportunities for undergraduates will be presented.
Prerequisite:
MATH A251 UA C Concurrent OR MATH A221 UA C OR MATH A261 UA C
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3.00 Credits
Studies logic, sets, relations, functions and cardinality. Introduces mathematical proof techniques.
Prerequisite:
MATH A252 UA C
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3.00 Credits
Nature and origin of differential equations; analysis of first order, linear scalar, and systems of differential equations using exact, qualitative and geometric methods; forcing and resonance; Laplace transform; and applications.
Prerequisite:
MATH A253 UA C
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