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Course Criteria
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3.00 Credits
(Prereq: B or higher in MATH A104 or by appropriate criteria as listed on the USC Aiken Math Placement Chart or by consent of department) Study of functions and graphical methods with the aid of technology. Topics include linear, quadratic, exponential, and other functions; solving equations; properties of logarithms and exponents. Emphasis will be on using algebra as a language for expressing problems and using algebraic and graphical methods for solving problems, data analysis, and other applications. Required graphing calculator specified in course schedule. (Four hours per week typically divided into 2 hours lecture and 2 hours collaborative learning, discussion, and exploratory activities.)
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3.00 Credits
(Prereq: C or higher in MATH A104 or by appropriate criteria as listed on the USC Aiken Math Placement Chart or by consent of department) An in-depth version of MATH A108 intended to develop the necessary algebraic skills by providing additional support through smaller class sizes and more contact hours. (Five hours per week typically divided into 2 hours lecture and 3 hours collaborative learning, discussion, and exploratory activities)
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3.00 Credits
(Prereq: By placement, or grade of C or better in MATH A108, or departmental permission; may be taken concurrently with MATH A112) Topics in algebra specifically needed for MATH A141, A142, A241: the study of equations and inequalities, graphs, functions and inverse functions including logarithmic and exponential functions, zeros of polynomials, and systems of equations and inequalities.
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3.00 Credits
(Prereq: by placement, or grade of C or better in MATH A108, or consent of department; may be taken concurrently with but not before MATH A111) Topics in trigonometry specifically needed for MATH A141, A142, A241: trigonometric functions and their applications. Includes the study of complex numbers, vectors and polar coordinates.
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3.00 Credits
(Prereq: by placement, or grade of C or better in MATH A108, or consent of department). An intuitive approach to the concepts and applications of differential calculus through the study of rates of change and their interpretations, using data-driven, technology-based modeling. Topics include linear, quadratic, cubic, exponential, and logistic models for discrete data; rates of change; calculating derivatives; interpreting derivatives as rates of change; relating first and second derivatives to graphs; and optimization. (Not intended for those who plan to take more than one calculus course).
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1.00 Credits
A brief introduction, using case studies, to show how applied mathematics is used in government and industry.
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4.00 Credits
(Prereq: MATH A111 and MATH A112 with a grade of C or better, or by placement, or departmental permission) This course covers differential calculus and introductory integral calculus concepts and skills that are needed for the successful study of upper-level science, mathematics, and engineering courses. Topics include limits and continuity, derivatives of the fundamental functions, differentiation rules, applications of derivatives, and an introduction to definite integrals. The course has 5 contact hours per week.
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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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