ࡱ> '` Ubjbj{P{P .X::u'zzzzzzzrrr8,",(\\\+++++++$-h0+-zz"::"z"z"+zz+*%*%*%z"zz+*%z"+*%*%rS(zz!) ZtrV#(M)<+0",(20#0!)0z!),\ |*% d \\\++$d\\\",z"z"z"z"rrzzzzzz COURSE OUTLINE (SYLLABUS) Course Name and Code: MTH 190/1 Business Mathematics II Day, Time, Semester: Tuesdays, 14:45 17:30, Spring 2010 Instructor: Mike Ivsin Contact:  HYPERLINK "mailto:Mike.Ivsin@Yahoo.com" Mike.Ivsin@Yahoo.com or  HYPERLINK "mailto:Michael.Ivsin@aauni.edu" Michael.Ivsin@aauni.edu Office Hours: Before class or by appointment Course Prerequisites: Business Mathematics I Credits: 3 Workload For An Average Student (weekly): Lecture3 hoursHomework2.5Project0Reading (quizzes and tests)3.5Other assignments0 Course Description: This course lays out the mathematical foundation of basic calculus as relevant to business and economics via the following components: infinite series, convergence and limits, single variable functions and their differentiation, local minima/maxima, definite and indefinite integration, two or more variable functions, basics of partial differentiation, and (un)constrained optimization of two or more variable functions. Some Pythagorean concepts as related to business and economics are introduced such as the golden ratio and the single ended and double ended variables. Extensive plotting will aid in visualization and the students ability to convey results to others. Course Materials: Readers for the course can be found at the AAU library: Business Math II, compiled by Kiril Ribarov, Petar Nedelkovski and Radmila Maric (it includes various sets of examples including problems given at final and midterm exams). Business Mathematics II Workbook Supporting Materials: Laurence D. Hoffmann, Gerald L. Bradley, Calculus for Business, Economics and the Social and Life Sciences, McGraw Hill, 2004. Learning Objectives: After a successful completion of this course, the student will be able to read and understand basic mathematical texts, and demonstrate abilities to think analytically. Besides the mathematical formalism, formal approaches are abstracted and generalized in order to help the student in any kind of analytical problem analysis. This course serves as a solid background especially for theoretical aspects of economic processes. Teaching Methodology: The course is conducted in the form of lectures with interactive participation, regular homework and additional short tests. Attendance will be taken. All tests are compulsory. Topics Covered: Summary of rational, incommensurable, and virtual numbers. Business use of these numbers. Series and limits; convergence and divergence. The golden ratio Functions and mappings; implicit and explicit functions. Single variable functions: continuity, operations on single variable functions, domain. Zero and infinity; further introduction to limits, undefined expressions. Differentiating functions of one variable, smoothness. Limits revisited LHpital Rule. Marginal functions. Stationary points and their classification. Plotting functions of a single variable with special focus on polynomials, rational functions, and logarithmic and exponential functions. Approximation of functions: Taylor's series, McLoren series. Functions of two and more variables. Differentiation of implicit single variable functions. Differentiation of two or more variable functions. (Un)constrained optimization of two or more variable functions. Pythagorean single ended and double ended variables. Definite and indefinite integration of single variable functions. Course Schedule: The course will progress in the same order of topics as described in the "Topics Covered" section (some modifications are possible). Students are encouraged to form teams and take notes for the absentees. Assessment Procedures: The grade for each exam is kept in the numerical value described in Grading (below). The final grade is obtained by weighing as follows: Tests: 20% Homework: 10% Midterm exam: 30% Final exam: 30% Attendance: 10% Homework is graded as 100 (superior) or 90 (adequate). Late homework cannot attain the superior grade. Attendance will be marked as present if the student excuses himself or herself before the class. School Policies: Attendance: Late work: Missed exams: Cheating and Plagiarism Course lecturers will mark down or give a failing grade to any piece of work that they feel shows clear signs of having been plagiarized. The extent to which a piece of work is marked down will depend upon the lecturers judgment of the extent of the plagiarism involved. Students caught cheating in examinations will be expelled from the examination room and given a failing grade for the examination concerned. Cheating and plagiarism may also lead to course failure or expelling from the school. Students caught indulging in behavior which is suggestive of cheating (e.g. whispering or passing notes) must, at a minimum, be warned, and in the case of continued misbehavior must be expelled from the examination room and given a failing grade for the examination concerned. Plagiarism in a form of materials on the Internet, which can be cut and pasted into a paper or essay, will be treated in the same manner as in cases where the more traditional methods of cheating have been discovered. All Lecturers are expected to enforce AAVS policy on cheating and plagiarism. To prevent any misunderstanding, plagiarism is defined: PLAGIARISM the unauthorized use or close imitation of the language and thoughts of another author and the representation of them as ones own original work. - Taken from the Random House Unabridged Dictionary, 2nd Edition, Random House, New York, 1993. 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