calculus_ii_syllabus - Broward College Calculus II and...

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Broward College Calculus II and Analytical Geometry II Course Outline ══════════════════════════════════════════════════════════ LAST REVIEW: Academic Year 2002-03 NEXT REVIEW: Academic Year 2007-08 COMMON COURSE NUMBER: MAC2312 INSTRUCTOR NAME: Freddy R. Matute, MBA CONTACT: [email protected] TEXT BOOK: Brief Calculus by Larson & Edwards, 6 th Edition CREDIT HOURS: 5 CONTACT HOURS BREAKDOWN: Lecture/Discussion 70 Contact Hours/Week 10 H CALCULATOR: Scientific Calculator COURSE DESCRIPTION PREREQUISITE(S): MAC2311 COREQUISITE(S): None PRE/COREQUISITE(S): None This is the second of a three-course sequence in calculus. Topics include techniques of integration, conics, polar coordinates, indeterminate forms, L'Hopital's Rule, proper integrals, infinite series, parametric equations, improper integrals and vectors; volume, arc length, surface area, work, and other applications of integration. A graphing calculator may be required in certain sections of this course. Meets Area 5A of the general education requirements for the A.A. degree.Meets Areas 4 or 5 of the general education requirements for the A.S. degree.Recommendation of the Mathematics Department or at least a grade if “C” in the prerequisite is required. UNIT TITLES 1. Techniques of Integration 2. Polar Coordinates and Conics 3. Indeterminate Forms and Improper Integrals 4. Sequences and Infinite Series 5. Vectors 6. Parametric Equations 7. Applications of the Definite Integral I. Course Overview: Upon successful completion of this course, the students should be able to apply the concepts of functions, graphs, limits, differentiation, and integration to business applications. II. Units: Unit 1 Techniques of Integration General Outcome: 1.0 The student shall be able to apply systematic procedures for estimating and evaluating elementary integrals. Specific Measurable Learning Outcomes: Upon successful completion of this unit, the student shall be able to:
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1.1 Integrate by using basic integration formulas. 1.2 Integrate by using algebraic, trigonometric and other substitution methods. 1.3 Integrate by parts 1.4 Integrate certain trigonometric integrals involving powers of trigonometric functions. 1.5 Integrate by trigonometric substitution when integrands contain expressions of the forms: a 2 - u 2 , u 2 - a 2 , a 2 + u 2 or ax 2 + bx + c 1.6 Evaluate integrals with rational integrands by the use of partial fractions. 1.7 Evaluate integrals using a table of integrals.Unit 1. Functions, Limits, and Continuity Unit 2 Polar Coordinates and Conics General Outcome: 2.0 The student shall be able to explain the relationship between Cartesian and polar coordinates and be able to convert relations in the plane based on one system to the other. In addition, the students should be able to apply the concepts of calculus to these relations and their graphical representations.
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