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Course Criteria
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4.00 Credits
(Prereq: MATH A141 with a grade of C or better or departmental permission) This course covers integral calculus and infinite series concepts and skills beyond those dealt with in MATH A141 (Calculus I) that are needed for the successful study of upper-level science, mathematics, and engineering courses. Topics include the substitution methods for indefinite and definite integrals, applications of definite integrals (including finding solid volumes, arc lengths, surface areas of revolution and simple applications in physics), separable differential equations, integration by parts, trigonometric substitutions and other techniques to deal with integrals of trigonometric functions and rational functions, improper integrals, sequences, infinite series, convergence and divergence of number series and power series, and Taylor series. The course has 5 contact hours per week.
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3.00 Credits
(Prereq: by placement, or grade of C or better in MATH A108, or consent of department). Matrices, systems of linear equations, linear programming, permutations and combinations, elementary probability and statistics, mathematics of finance. (A student who earned credit for MATH A121 may not take MATH A170 for credit.)
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3.00 Credits
(Prereq: by mathematics placement above MATH A111, completion of either MATH A111 or MATH A170 with a grade of C or better, or consent of department) Basic mathematics needed for the study of computer science: Propositions and predicates; mathematical induction, sets, relations, boolean algebra, automata, grammars and languages, computable functions.
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3.00 Credits
The meaning of numbers, fundamental operations of arithmetic, the structure of the real number system and its subsystems, elementary number theory. Open only to students in elementary education, early childhood education, or others pursuing add-on certification in elementary education. This course cannot be taken for general education mathematics credit by students who are not graduating in the elementary, early childhood, or special education programs. MATH A221 and MATH A222 may be taken in any order.
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3.00 Credits
(Prereq: by placement, grade of C or better in MATH A108 or consent of the Department) Informal geometry and basic concepts of algebra open only to students in elementary education, early childhood education, or others pursuing add-on certification in elementary education. This course cannot be taken for general education mathematics credit by students who are not graduating in the elementary, early childhood, or special education programs. MATH A221 and MATH A222 may be taken in any order.
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3.00 Credits
(Prereq: CSCI A145 with a C or better and MATH A142 with a C or better.) Introduction to the use of mathematical software packages and other computer algebra systems in applied mathematics, engineering, and statistics.
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4.00 Credits
(Prereq: MATH A142 with a grade of C or better or departmental permission) This course introduces geometry of the space and concepts, techniques, and applications of multivariable calculus. Topics include vectors, scalar and vector products, lines and planes, vector functions, partial derivatives, chain rules, directional derivatives and gradients, tangent planes and normal lines, total differentials, multiple integrals, iterated integrals, change of variable, and polar and spherical coordinates. Other related topics on integrals will be covered as time permits.
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4.00 Credits
(Prereq: grade of C or better in MATH A142 or consent of department) First order and linear higher order ordinary differential equations, systems of equations, Laplace transforms.
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3.00 Credits
(Prereq: MATH A225 with a C or better). This course emphasizes the use of mathematical software packages to implement and solve complex (linear, discrete, and continuous) mathematical models. Assessment of the validity of these models using real-world data will also be discussed.
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3.00 Credits
(Prereq: MATH A122 or MATH A141 with a grade of C or better) This course introduces preliminary concepts and basic computational techniques of linear algebra that are important to science and to different branches of computer science and engineering. Contents include vector spaces, linear transformations and matrices, determinants, systems of equations, inversion, matrix decomposition, and other topics applicable to computer science and engineering.
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