Gottlieb, Eric2013-03-282013-03-282013-01-09http://hdl.handle.net/10267/16025This syllabus was submitted to the Office of Academic Affairs by the course instructor. Uploaded by Archives RSA Josephine Hill.Material to be covered: We will cover the following material from the text.  Chapter 5, Sections 3 – 5: Review of the fundamental theorem of calculus and integration by substitution, both of which you should have seen in Calculus I. Numerical integration. The natural logarithm as an integral. Integrals involving inverse trigonometric functions.  Chapter 6, Sections 1 – 5: Applications of integration, including area between curves, volumes by several techniques, work, and average value of a function.  Chapter 7, Sections 1 – 4, 7, 8: Techniques for integration, including integration by parts, trigonometric integrals and substitution, and partial fractions. Numerical integration and improper integrals.  Chapter 8, Sections 1 – 5: More applications of integration, including arc length, area of surfaces of revolution, applications to physics, engineering, biology, and economics, and probability.  Chapter 9, Sections 1 – 6: Differential equations. Modeling, direction fields, some solution techniques.  Chapter 11, Sections 1 – 11: Infinite sequences and series. Tests for convergence, power series and their use in representing functions, Taylor and Maclaurin series.en-USRhodes College owns the rights to the archival digital objects in this collection. Objects are made available for educational use only and may not be used for any non-educational or commercial purpose. Approved educational uses include private research and scholarship, teaching, and student projects. For additional information please contact archives@rhodes.edu. Fees may apply.SyllabusCurriculumAcademic departmentsTextMathematics and Computer Science, Department of2013 SpringSyllabus