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Course Criteria
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0.00 Credits
This course introduces fundamental skills from both differential and integral calculus. The differential calculus topics include limits, continuity, the derivative, rules for derivatives of certain algebraic and transcendental functions, applications of the derivative (such as velocity and acceleration, related rates, optimization problems), higher derivatives, the chain rule, and implicit differentiation. The integral calculus topics include anti-derivatives, the area bounded by a curve, indefi nite and defi nite integrals, the Fundamental Theorem of Calculus, integration by substitution, the Trapezoid Rule and other methods of numerical integration. Topics are explored analytically, graphically, and numerically. The use of a graphics calculator is an integral part of this course. Prerequisite: SM-1111 STCW: None
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This one-semester course will present differential and integral calculus using algebraic, exponential and logarithmic functions. These topics will be used to study selected applications in business and the sciences, including motion and environmental problems. This course does not fulfi ll the prerequisite for SM-2113. Credit will not be given for both SM-1212 and SM-1214. Prerequisite: SM-1111 STCW: None
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1.00 Credits
A continuation of Chemistry I. Topics include gas laws, solutions, acidbase theory, redox reactions, nuclear chemistry, and organic chemistry. Prerequisite: SM-1131 STCW: None
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1.00 Credits
This is an introduction to the earth sciences with a concentration on meteorology, soils, and hydrology to provide the student with a background to understanding natural hazards and distribution of hazardous materials in the air, water and land. Prerequisite: SM-0112 or placement into SM-1111 via the placement test prior to matriculation. STCW: None
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A continuation of SM-1212 with an emphasis on engineering applications such as rectilinear motion, areas, volumes, centroids, work, and arc length. Also covered are the calculus of transcendental functions and methods of integration such as substitution, integration by parts, and partial fractions. The use of a graphics calculator is an integral part of this course. Prerequisite: SM-1212 STCW: None
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0.00 Credits
Applications of calculus and related mathematics to problems associated with environmental science and management. Additional topics may include exponential growth and decay, linear programming, and an introduction to game theory. Prerequisite: SM-1212 or SM-1214 STCW: None
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This course studies selected mathematical techniques, including calculus, for the analysis of business and economic problems as an aid to decision-making in management. Topics may include marginal analysis, optimization, models and applications of decision theory, linear programming, the transportation problem, and network models. Prerequisite: SM-1212 or SM-1214 STCW: None
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An introduction to spherical trigonometry: solution methods for both right and oblique spherical triangles including applications in great circle sailing and dead reckoning. Additional topics include applications of calculus, linear programming, and an introduction to statistics. The use of a graphics calculator is an integral part of this course. Prerequisite: SM-1212 or SM-1214 STCW: None
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1.00 Credits
An introduction to the basic concepts of physics utilizing algebra and trigonometry to study the fundamental principles of vectors, statics, dynamics, energy, momentum, and circular motion. Credit will not be given for both SM-2121 and SM-2123. Prerequisite: SM-1111 STCW: None
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1.00 Credits
An introduction to the fundamental principles of physics with an emphasis on rigid body mechanics. Newton's laws and the conservation principles of energy and momentum are included. Prerequisite: SM-1212 STCW: None
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