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Descriptions and credit recommendations for all evaluated learning experiences
Upon successful completion of the course, students will be able to: define the concept of limits; find limits of functions; find derivatives; find derivatives of trigonometric functions; graph using derivatives; find derivatives of functions defined through composition of functions; and solve verbal problems – related rates, max-min, and rectilinear motion.
Topics covered include: limits, derivatives, graphs using limits and derivatives, and verbal applications that use derivatives.
Upon successful completion of the course, students will be able to: define and apply integration including definite integrals and its connection to area; calculate limits; calculate integration of logs, exponential functions, trigonometric functions and integrate by parts, integrate using partial fractions; solve problems involving area, volume, rectilinear motion and growth and decay; numerical methods for calculating integrals; solve differential equations by separating variables.
Topics covered include: a continuation of Calculus I; antiderivatives, integration by u-substitution; areas as limits; the definite integral; area between two curves; volumes, length of plane curves; area of surface of revolution; logarithms and exponential functions; first-order differential equations; inverse functions; inverse trigonometric functions and their derivatives; integration by parts; and integration of powers of sine, cosine, secant, and tangent. Also included are verbal problems requiring the above concepts.
39 hours (13 weeks).
May 2018 - Present.
Upon successful completion of the course, students will be able to: read, interpret and write presentations using logical mathematical symbols; write proofs of truth value of propositions, using inference rules and axioms of logic; use set theory to explain mathematical logic involving collections of objects as units; discuss the concept of algorithms as processes to solve problems; solve a recurrence relation; tell whether a function is injective or subjective; define functions explicitly and recursively; calculate probabilities using counting rules, combinations and permutations; write proofs relating number of vertices and number of edges in a tree; write proofs related to connectedness of graphs; and find shortest path in a graph;show isomorphism.
Topics covered : logic, binary system, sets, functions, relations, equivalence relations, deduction, induction, recursion, counting, algorithms in pseudo-code, matrices, probability, graphs, connectedness, trees, path, circuits, isomorphism.
In the upper division baccalaureate degree category, 3 semester hours in Mathematics, Business, Finance, Statistics, or Computer Science (5/18) (3/21 revalidation).