Math1190Fall_2011 - MATH 1190/01(CRN81857 Calculus I Fall...

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MATH 1190/01 (CRN81857), Calculus I, Fall 2011 Instructor: Jun Ji Office: Science Building 534 Contact: (phone) 770-423-6442, (fax) 770-423-6629, (e-mail) [email protected] Text: University Calculus – Elements With Early Transcendentals by Hass, Weir, and Thomas. Jr. Material: TI-83 Graphing Calculator (TI–92 is not allowed) Class Meetings: 2:00pm - 3:40pm, Monday and Wednesday, in CL 1003 Office Hours: 11:30am-12:20pm, Monday and Wednesday, or by appointment Prerequisite: MATH 1112 or MATH 1113 Course Description: A first course in calculus and analytic geometry. Topics include fun- damental concepts of limits, continuity, derivatives, and integrals of functions of one variable. Incorporates applications from a variety of disciplines. Modern computing technology will be used where necessary and appropriate. Learning Outcomes: 1. The student will be able to determine the limit of a function, including limits involving infinity, numerically, graphically, and analytically, including using the Squeeze Theorem. 2. The student will be able to determine the continuity of a function at a specific number and on an interval, both graphically and analytically. The student will be able to use the Intermediate Value Theorem. 3. Students will be able to compute derivatives of basic functions using the limit definition of the derivative. 4. Students will be able to calculate derivative functions using the common rules: power, product, quotient, and chain rules, and be able to calculate the derivatives of polynomi- als, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions. 5. Students will be able to use implicit differentiation and logarithmic differentiation. 6. Students will know that the Mean Value Theorem can be used to prove the Increase/Decrease Test. Student will use knowledge of derivatives in applications including, but not limited to, maximum-minimum problems, shapes of curves, indeterminate forms, and LHopitals Rule. Student will be able to calculate antiderivatives for basic functions using their knowledge of derivatives. 7. Students will be able to use the definition and geometric interpretation of the definite integral to evaluate definite integrals of basic functions. 1
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8. Students will be able to use the Fundamental Theorem of Calculus to evaluate definite integrals.
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