Calculus for Business and Social Science MAT 180 Syllabus - Fall 2013 Instructor: Jinhee Canfield Phone: 847-376-7134 Office: 2524, DP Email: jcanfiel@oakton.edu – the quickest way to reach me OFFICE HOURS: M/W 11:50am – 1pm, T/R 9am – 10am I. Course Prefix/Number: MAT 180 Course Name: Calculus for Business and Social Science Credits: 4 (4 lecture; 0 lab) II. Prerequisite MAT 140 with a grade of C or better or an appropriate score on the Mathematics Assessment Test III. Course (Catalog) Description This course introduces concepts of functions and relations and the basic ideas of differential and integral calculus with applications to the fields of social science and business. IV. Learning Objectives 1. 2. 3. 4. 5. 6. 7. 8. 9. Interpret concept of function and its applications. Compute limits of functions. Determine Continuity of functions. Use the definition of the derivative to find derivatives. Evaluate derivatives of algebraic, exponential and logarithmic functions. Use derivatives to solve optimization problems, motion problems, and problems involving rates of change. Use derivatives to analyze functions and their graphs. Evaluate indefinite and definite integrals. Use definite integrals to find area. 10. Analyze functions of more than one variable. 11. Use derivatives to solve optimization problems involving functions in more than one variable. 12. Apply the concepts of differentiation and integration in business and social science. 13. Use technology to find limits, derivatives, and integrals. V. Academic Integrity Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits: • cheating, • plagiarism (turning in work not written by you, or lacking proper citation), • falsification and fabrication (lying or distorting the truth), • helping others to cheat, • unauthorized changes on official documents, • pretending to be someone else or having someone else pretend to be you, • making or accepting bribes, special favors, or threats, and • any other behavior that violates academic integrity. There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years. Details of the Code of Academic Conduct can be found in the Student Handbook. VI. Sequence of Topics 1. Functions and Limits a. Functions and their graphs b. Operations with functions c. Limits d. Infinity and limits e. Continuity 2. a. b. c. d. e. f. The Derivative Definition of the derivative Differentiation rules for sums, products and quotients of functions Polynomial, rational and other algebraic functions The Chain Rule Higher order derivatives Implicit differentiation 3. Further Applications of the Derivative Increasing and decreasing functions Extrema and the First-Derivative Test Concavity and the Second-Derivative Test Optimization Problems Business and economics applications Curve sketching Differentials and marginal analysis a. b. c. d. e. f. g. 4. Exponential and Logarithmic Functions a. Derivatives of exponential and logarithmic functions b. Exponential and logarithmic integrals c. Exponential growth and decay 5. Integration and Its Applications a. Definition and properties of the indefinite integral b. Fundamental Theorem of Calculus c. The area of a region bounded by two graphs 6. Techniques of Integration a. Integration by substitution b. Integration by parts and present value c. Integration tables and completing the square 7. Functions of More than One Variable a. Definition b. Partial derivatives 8. Recommended Technology a. Graphically, numerically and/or symbolically find limits b. Graphically, numerically and/or symbolically find derivatives c. Numerical and symbolic integration VII. Methods of Instruction Lectures, whole-class discussion, student self-checking, regularly assigned homework (via ‘MyMathLabs Plus’). ‘MyMathLabs Plus’ Bundle is required.(it is not required to purchase a textbook for this course unless students want to have it) VIII. Course Practices Required Attendance: There are no points for attendance. However, when a student is at the border line of two grades (for example, between 88.0 and 89.9), the attendance record will be used to help break the tie. Early leaving and late arrivals eventually count as full absences. Any student who misses class for any reason is completely responsible for missed materials, regardless of whether I can provide them conveniently after the fact. Any student who misses class will be expected to be in the same class schedule as those who were present. The lowest Test score (out of 4 Tests) will be dropped for the final grade if you do not miss more than 2 classes by the end of the semester. (Students who come more than 15 minutes late or leave more than 15 minutes early will be marked absent.) All four tests will be an ‘online test’ and will be taken in a computer lab.(Sep 11, Oct 9, Nov 13, and Dec 11, 2013) Missed Test: If a student misses a test, a makeup exam may be taken, but it will be slightly harder than the original exam. Please email me to arrange the make-up test. It is your responsibility to email me and retake the test by Saturday of the same week that the original test was taken.) Homework and ‘Chapter Quiz’: Turn in your homework and ‘chapter quiz’ through ‘My Labs Plus’ via ‘my Oakton’. (70% or above will be credited.) In order to take a quiz, you must have completed all homework for that chapter with a score of at least 70%. If you do not have at least a 70% on HW, you will not be able to take that chapter quiz. IX. Instructional Materials Book: Calculus for Business, Economics, and the Social and Life Sciences Author: Barnett; 12/e Publisher: Pearson Copyright: 2011 Text only ISBN: 0321613996 Text with MyLabsPlus Access Code: 1256675776 MyLabsPlus Standalone Access Code: 0558926800 A graphics calculator is required. A TI-83/84 will be used for instructional purposes. For help with calculators, please feel free to visit: http://www.prenhall.com/divisions/esm/app/calc_v2/ X. Methods of Evaluating Student Progress The final grade will be given based on: 20% from HW(70% or above will be credited– you can re-do it several times) 20% from ‘Chapter Quiz’(70% or above will be credited– you can re-do it several times) 60% from Tests (4 Tests- Each test will be taken only once) and A: 90%-100%, B: 80%-89%, C: 70%-79%, D: 60%-69%, F: 0%-59% XI. Other Course Information Incomplete Grade: Any incomplete grade will be subject to a student having passed the Midterm (70% or above on the first two Tests), and other individual considerations like a documented hardship near the end of class. No cell phone can be used for any test. Bring your calculator for each test. If you want to chat during the class, please do so outside the lecture room. Special Needs: If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in the Learning Center. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program. Observance of Religious Holidays Oakton Community College recognizes the broad diversity of religious beliefs of its constituencies. The College has embraced a practice of shared responsibility in the event a religious observance interferes with class work or assignments. Students who inform instructors well in advance of an intended absence for a major religious observance will not be penalized. The instructor will make reasonable accommodations for students, which may include providing a make-up test, altering assignment dates, permitting a student to attend another section of the same course for a class period or similar remedies. Instructors are not responsible for teaching material again. For important dates, please check http://www.oakton.edu/academics/acad_calendar/index.php