Math 270: Managerial Mathematics
Spring 2004, 4 credits, MWF 1:10-2:00, R 1:00-1:50, MC 502
Instructor: Rich Maresh, Assoc. Prof. and Chair, Dept. of Mathematics
Office: MC 522 Hours: MWF 12-1, R 2-3
Phone: 796-3655 (office), 526-4988 (home) Email: rjmaresh@viterbo.edu
Final Exam: Monday, 3 May 2003, 12:50-2:50 pm
Catalog Course Description: Several topics applicable to the study of business are covered. In particular, the course considers systems of linear equations and linear programming, the mathematics of finance, and an introduction to the elementary calculus topics. Emphasis in the course is on applications.
Prerequisite: acceptable score on placement exam or a grade of C or higher in Math 110.
Text: Essentials of College Mathematics (Third Ed.), by Barnett and Ziegler (Macmillan, 1995)
Course Goals:
1. Students will learn mathematical concepts that apply to business (as determined by the business school).
2. Students will learn how to apply mathematics to various types of business-related problems.
3. Students will improve their problem solving skills.
4. Students will learn to use technology, specifically graphing calculators and computer software, to solve a variety of problems.
5. Students will improve their mathematical reasoning skills.
6. Students will improve their ability to communicate, primarily in writing, mathematical ideas.
Course Procedures:
Mathematics is not a spectator sport.” My primary suggestion to you is that you consider learning as something you DO, not something that is done to you. Regardless of how clearly I present the material there is no way you are going to understand the concepts and be able to do the problems unless you take it upon yourself to study the text, to do the homework “religiously”, and to prepare for exams efficiently.
Homework. At the heart of learning mathematics is the regular effort to solve problems. At least as important as regular attendance is the regular doing of homework. These assignments are for practice and will not be formally calculated into your grade, but this is where the real learning takes place. I plan to spend some time at the beginning of each class period taking a look at the homework from the previous day’s work. The old adage that a university student should spend “two hours outside of class for each hour in class” is not always taken seriously, but I want to suggest that it is with that attitude that you should approach this course, if you hope to be successful.
Depending on the strength of your algebra background, you may be able to get by one somewhat less time, but you should make sure you CAN do the problems, even if you do not actually do all of them. I have assigned odd numbered problems so that you can check the answer in the back of the book to see if you did it correctly.
I have no problem with study groups – in fact, I think much good can come from working on problems with colleagues – but I do want you to make sure that you are not relying on your classmates to the extent that you are not really learning to do the problems yourself. This will hurt you very much at exam times.
Attendance: The office of the academic vice-president requires us to report when a student has “stopped attending” a class – the Federal Government wants the information for financial aid purposes – so I will be keeping tabs on your attendance. I do not formally use your attendance record in computing your grade, although your grade will no doubt be affected by spotty attendance.
Group Problem Sets: I will on occasion give you a few problems to work on in a group. As I mentioned in the homework section, I do think there is a place for working in groups, especially for certain topics in the course. There is not enough class time to use this “lab” approach extensively, but you can expect to see it every so often.
Blackboard: I will enroll you all in Blackboard and will use it for several things – I will keep a copy of the syllabus there, and will occasionally use it to give you website links or practice problems. Because we will meet four times each week I don’t think it will be quite as useful as if we met more infrequently.
Grading Procedure: I will use a pretty typical 90-80-70-60 grading scale: 90% of possible points for an “A”, 80% for a “B”, 70% for a “C”, and 60% for a “D”. Over the entire semester there should be at least 800 possible points, probably a bit more, so that no one performance, even the final exam, will weigh too heavily in your grade.
Americans with Disabilities Act: If you are a person with a disability and require any auxiliary aids, services or other accommodations for this class, please see me and/or Wayne Wojciechowski, the campus ADA coordinator (MC 320, 796-3085), within ten days to discuss your needs.
I want to include taking exams in the learning center under this category; you will need a written request from Wayne Wojciechowski before I will allow you to take exams there. I do not have a problem with the concept, but I want to make sure there is really a valid reason.
Math 270 Schedule, Spring 2004
Jan 12 Algebra Review p 57, Chapter (1) Review
Jan 14 Algebra Review p 123, Chapter (2) Review
Jan 15 Lab #1
Jan 16 Algebra Quiz (50 Points)
Jan 19 <3.1> Exponential Functions p 135 #1-25 odd, 35, 43-55 odd
Jan 21 <3.2> Exponential Functions with Base e p 142 #1, 3, 9, 13, 17, 21-27 odd
Jan 22 <3.3> Logarithmic Functions p 155 #1-27 odd, 37, 47, 59, 61, 75, 77, 93
Jan 23 <4.2> Compound Interest p 180 #1-17 odd, 21, 25, 29-41 odd
Jan 26 Lab #2
Jan 28 <4.3> Future Value of an Annuity p 189 #1-23 odd
Jan 29 <4.4> Present Value of an Annuity p 201 #1-23 odd, 27
Jan 30 Lab #3
Feb 2 Group Practice Exam #1 (25 points)
Feb 4 EXAM #1 (100 points)
Feb 5 <5.1> Systems of Linear Equations p 222 #1-21 odd, 31, 37, 43
Feb 6 <5.2> Systems of Equations and Matrices p 233 #13-25 odd, 39
Feb 9 <5.3> Gauss-Jordan Elimination p 243 #1-25 odd, 33, 47
Feb 11 Lab #4
Feb 12 <5.4> Matrices Addition, Scalar Multiplication p 252 #1-19 odd, 23-29 odd, 37
Feb 13 <5.5> Matrix Multiplication p 260 #1-29 odd, 39, 45
Feb 16 <5.6> Inverse of Square Matrices p 273 #1, 3, 9, 13, 17, 21, 27, 45
Feb 18 <5.7> Matrix Equations and Systems of Equations p 282 #1-17 odd, 21, 31
Feb 19 Lab #5
Feb 20 <6.1> Systems of Linear Inequalities p 305 #1, 3, 13-29 odd, 35, 43
Feb 23 <6.2> Linear Programming in Two Variables p 320 #1-11 odd, 17, 27
Feb 25 <6.3> Geometric Introduction to the Simplex Method p 334 #1, 3, 5
Feb 26 <6.4> The Simplex Method p 352 #1, 3, 9, 13, 15, 31, 33
Feb 27 <6.4> Simplex Method
Mar 1-5 SPRING BREAK
Mar 8 Lab #6
Mar 10 Review …
Mar 11 Group Practice Exam #2 (25 points)
Mar 12 EXAM #2 (100 points)
Mar 15 <9.1> Limits and Continuity p 502 #1-33 odd, 45, 63, 65
Mar 17 <9.2> Computation of Limits p 517 #1-43 odd, 59, 69, 73, 89
Mar 18 <9.3> The Derivative p 534 #1-9 odd, 15-25 odd, 35, 41
Mar 19 <9.4> Derivative Formulas: The Power Rule p 547 #1-41 odd, 45, 49, 55, 67, 69
Mar 22 Lab #7
Mar 24 <9.5> Derivative Formulas: Product and Quotient Rules p 557 #1-25 odd, 31, 33, 43, 49, 51
Mar 25 <9.6> The Chain Rule p 565 #1-31 odd, 37, 43, 49, 59, 61
Mar 26 <9.7> Marginal Analysis p 574 #1-13 odd, 17
Mar 29 Lab #8
Mar 31 <10.1> Derivatives and Graphs p 600 #1-23 odd, 35, 57
Apr 1 <10.2> Second Derivates and Graphs p 614 #1-11 odd, 15, 23-29 odd, 37, 39, 45, 53, 61
Apr 2 <10.4> Optimization: Maxima and Minima p 649 #1, 11, 15-29 odd
Apr 5 <10.5> Continuous Compound Interest p 660 #9, 13-23 odd
Apr 7 <10.6> Derivatives of Log and Exponential Functions p 672 #1-19 odd, 33-39 odd, 55-59 odd
Apr 8-12 EASTER BREAK
Apr 14 <10.7> General Form of the Chain Rule p 683 #1-45 odd
Apr 15 Lab #9
Apr 16 Group Practice Exam #3 (25 points)
Apr 19 EXAM #3 (100 points)
Apr 21 <11.1> Antiderivatives and Indefinite Integrals p 704 #1-39 odd, 49, 51, 75
Apr 22 <11.2> Integration by Substitution Method p 717 #1-35 odd
Apr 23 <11.3> Definite Integrals p 728 #1-21 odd, 43, 47, 51
Apr 26 <11.4> Area and the Definite Integral p 741 #1-15 odd, 39, 45
Apr 28 Lab #10
Apr 29 Group Practice Final Exam (25 points)
Apr 30 COURTYARD CARNI
May 3 FINAL EXAM 12:50-2:50 p.m. (125 points)