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Fall 2014 Math 132-XX Calculus for Business and Social Sciences Instructor: xxxxxxxxT Th Office: Wall Building XXXX Phone: 349-xxxx E-mail: [email protected] Office Hours: XXXXXXXXXX Required Materials: Scientific Calculator or Graphing Calculator (equal to TI-85 or less) Required Text: Applied Calculus by Tan, Brooks/Cole, 2012. Ninth Edition Course Description: Limits, derivatives of algebraic, exponential, and logarithmic functions, curve sketching, applications to optimizing, and anti-differentiation. F, S, Su. Course Objective: To provide students with an introduction to calculus as applied to business, economics, the life and physical sciences, and the social sciences. Topics covered will include limit definition of a derivative, derivatives of algebraic, exponential, and logarithmic functions, curve sketching, applications to optimizing, and anti-differentiation. Prerequisite: Math 130 or Math 130I with a grade of C or better or appropriate placement score. Students Learning Outcomes: After completing this course, students should be able to: Differentiate between Revenue, Profit and Cost, as well as, Marginal Revenue, Marginal Profit and Marginal Cost functions. Apply the topics of average rate of change and instantaneous rate of change (Derivatives) to economic functions and other real-world applications. Compute the limit definition of a derivative. Demonstrate knowledge of derivative rules for algebraic, exponential, and logarithmic functions. Apply derivatives to find local maxima and minima, inflection points, concavity and global maxima and minima. Construct anti-derivatives for algebraic, exponential and logarithmic functions using a variety of integration techniques. Compute definite integrals and its applications. Class Attendance: Students are expected to attend class regularly. New information is given each day of class, so it is important to pay attention to the topics covered so you will be prepared for the exams. You are allowed to miss only 4 classes for T Th classes. If a student misses more than this, a grade of “F” may be assigned, regardless of the grades earned on tests and quizzes. If you happen to miss a class, it is your responsibility to get the lecture notes from another student in the class. Absences (include leaving class early), whether excused or not excused, do not absolve the student from this responsibility. Attendance is MANDATORY on scheduled exam days. There will be NO make-up tests unless approved ahead of time. Missed tests may be made up only at the discretion of the professor. Under no circumstances will anyone be able to take the test once the exams are returned. If you miss one test for an excused absence, the grade you make on the final exam can be used to replace the missing grade. There will be NO make-up quizzes or in-class homework. No extra credit will be given. This is a more stringent attendance policy than found in the course catalog. Students with Disabilities: Any student with a documented disability needing academic adjustments or accommodations is requested to speak with me during the first week of class. All discussions will remain confidential. Cell Phone Policy: All cell phones should be turned off and out of sight during class. Student Code of Conduct: Coastal Carolina University is an academic community that expects the highest standards of honesty, integrity and personal responsibility. Members of this community are accountable for their actions and reporting the inappropriate action of others and are committed to creating an atmosphere of mutual respect and trust. Grading: Exams 1 - 3 Quizzes Final Exam Course Average 90-100 87-89 80-86 77-79 70-76 67-69 60-66 Below 60 Percentage 20% each 10% 30% Grade Assignment A B+ B C+ C D+ D F Exam Dates Dates Topics Covered Exam 1 Module 1 Sep. 18 Exam 2 Module 2 Oct. 23 Exam 3 Module 3 Nov. 18 Final Exam TBA Cumulative DISCLAIMER: The above schedule is tentative and is subject to change. Important Dates: Monday, Sept. 1 Friday, Oct. 10 Thursday, Oct. 23 Tuesday, Nov. 4 Nov. 24 – 28 Wednesday, Dec. 3 Labor Day Student Holiday Last day to drop with W grade Election Day Holiday Thanksgiving Break Last day of classes YOU MUST TAKE THE FINAL EXAM ON THE GIVEN TIME AND DATE!!!! Topical Outline DISCLAIMER: The schedule below is tentative and is subject to change. Module 1: Limits, Continuity and Differentiation Topic Corresponding Assignment Limits One-sided Limits Continuity Definition of Derivative Average Rate of Change Basic Derivatives Find Equation of Tangent Line P. 111 P. 126 P. 127 P. 146 P. 147 P. 164 P. 165 1-9, 13-19, 23-27, 33-45, 49-61, 69-79 (ALL ODD) 1-35 (ODD) 39-59 (ODD) 9, 11-16 (ALL) 27, 29 1-35 (ODD)) 41-44 (ALL) Mixed Types of Derivatives (Product, Quotient and Chain Rule) Multiple Derivatives Implicit Differentiation P. 231 P. 213 P. 225 1-30 (ALL) 1-7 (ODD) 21, 23 9-33 (ODD) Derivatives Including Logarithmic and Exponential Functions Logarithmic Differentiation P. 395 P. 377 15-32 (ALL) and Chapter 5 Supplement 47-50 (ALL) Module 2: Applications of the Derivative Topic General Applications Marginal Cost Revenue & Profit Elasticity of Demand Related Rates Maximums and Minimums Inflection Points and Concavity Curve Sketching Absolute Maximum and Minimum Optimization Problems Corresponding Assignment P. 166 P. 366 P. 378 P. 214 P. 206 P. 207 P. 226 P. 257 P. 279 P. 292 P. 206 P. 307 P. 319 54, 57 53, 54, 58, 63, 64 67, 70, 72 35 3-6, 9-12 23, 25, 27, 29, 30 41, 42, 43 1-7, 13-39, 37-43, 49-65 (ALL ODD) 1-7, 29-35, 49-59 (ALL ODD) 1-27, 39, 44, 49 1-21 (ODD) 39, 49, 42, 45, 46, 57 1-5 Module 3: Integration and Area Topic Basic Integrals Initial Value Problems Integration Substitution Riemann Sum Definite Integral Area of Region Under Curve Average Value Applications of Integrations Area Between Curves Consumer and Producer Surplus Corresponding Assignment P. 406 P. 407 P. 418 P. 429 P. 439 P. 449 P. 449 P. 449 P. 407 P. 419 P. 439 P. 460 P. 475 1-35, 45 (ODD) Ch. 6 Supplement 1, 2 51-58 1-41 (ODD) Ch. 6 Supplement 3-8 7ab, 9ab, 13, 15 17-39 (ODD) 1-27 (ODD) 29-33 35-43 (ODD) 65, 69, 83, 55-61 (ODD) 42, 44 1-7 (ODD) 1, 3, 5, 7, 10, 11 Homework Problems for Math 132 (Unless otherwise noted, will NOT be collected, however problems may often show up on tests) Please come and see me if you need help or have any questions. Do not wait until the end of the semester!