67-204 Mathematics for Business Analysis I Spring 2006
| Instructor: Asõk? R?man?yake | Office: Swart 223 |
| Email: ramanaya<at>uwosh.edu | Phone: 424-2305 |
| Office Hours: | Web: http://www.uwosh.edu/faculty_staff/ramanaya/ |
|
Course Objectives
This course is designed to acquaint business students with mathematical techniques, which are useful in business and management. Topics include functions, matrix algebra and applications, linear programming, probability, and mathematics of finance. Upon completion of this course, the student should be able to ...
- Identify the basic graphs and properties of polynomial, rational, exponential, and logarithmic functions. Apply the knowledge of functions to business applications such as simple, compound or continuous compound interest, ordinary annuities, finding the maximum or minimum for quantities which are quadratic functions, and finding break even points.
- Perform basic operations with matrices, and use matrix methods to solve systems of linear equations. Apply the knowledge of matrices to business problems such as inventory, production, and total cost.
- Use geometric method to solve linear programming problems. Interpret information as an objective function with constraints, set up the linear programming problem, solve the problem and interpret the result in the context of the problem.
- Use basic counting techniques and calculate probabilities, including conditional probabilities. Apply the mathematical knowledge of probability to business problems and interpret the results.
- Calculate measures of central tendency and measures of dispersion. Apply the mathematical skills to problems in various business settings and interpret the results.
Prerequisites:
67-103 or 67-108 with a grade C or above.
Textbook
R.A. Barnett, M.R. Ziegler and K.E. Byleen, College Mathematics, 10th Edition
Calculator
TI-83/TI-83 PLUS is required. Instruction in class will be based on this graphing calculator. A guide to TI-83 is posted on D2L. Please bring your calculator to class everyday.
Grading
| Points | |
| Exam I (Chapters 1 and 2) | 100 |
| Exam II (Chapter 3) | 60 |
| Exam III (Chapter 4) | 70 |
| Exam IV (Chapters 5 and 6) | 70 |
| Exam V (Chapters 7 and 8) | 100 |
| Quizzes (10 points each) | 110 |
| Class participation + Random In-Class Assignments + Attendance + Worksheets | 40 |
| Total | 550 |
Exams
Make-up exams will be given only in special circumstances. Midterm exams can be made-up for students who notify me (with appropriate proof) at least two days before the exam of their unavoidable absence.
Quizzes
A quiz will be given almost every week. There will be absolutely no make-ups of quizzes. However, the lowest quiz score will be dropped. Tentative dates are listed in the schedule, but these may change without warning. Review solutions from previous homework and previous class’ material to prepare for quizzes.
All the quizzes and exams are closed book. Calculators are allowed for all exams, however sharing them is not allowed.
Homework
Homework will be assigned daily. Most quiz problems will be very similar to the assigned homework problems.
Worksheets
There will be at least two worksheets. The details of these will be given later.
Pre and Post Tests
There will be a pre-test on February 1 and a post-test on May 9. These tests are for assessment purposes.
Attendance
Attendance is mandatory. You are responsible for all the announcements, changes, course information, and topics that I cover in class.
| Grade | A | A/B | B | B/C | C | D | F |
| Cut off(%) | 90 | 85 | 80 | 75 | 70 | 60 | <60 |
Course Outline
- Chapters 1 and 2: Review of Elementary Functions
- Chapter 3: Mathematics of Finance
- Chapter 4: Systems of Linear Equations
- Chapter 5: Linear Programming (sections 5.1-5.2)
- Chapter 6: Logic, Sets and Counting
- Chapter 7: Probability
- Chapter 8: Data Description and Probability Distributions
Here are a few suggestions as you approach this course:
- Come to class
- Ask questions
- Use office hours
- Don't get behind
- Don't get overconfident
- Turn in homework
- Watching someone else solve problem you have not attempted will do little to improve your problem-solving skills.
- Have fun!
- Think!!
Tentative Schedule
| Date | Material | In Class | |
|---|---|---|---|
| M | 30-Jan | Introduction+1-1 Functions | |
| T | 31-Jan | 1-1 Functions | |
| W | 1-Feb | 1-2 Elementary Functions: Graphs and Transformations. | Pretest |
| F | 3-Feb | 1-3 Linear Functions and Straight Lines. | Quiz 1 |
| M | 6-Feb | 1-4 Quadratic Functions. | |
| T | 7-Feb | 1-4 Quadratic Functions. | |
| W | 8-Feb | 2-1 Polynomial and Rational Functions. | |
| F | 10-Feb | 2-1 Polynomial and Rational Functions. | Quiz2 |
| M | 13-Feb | 2-2 Exponential Functions. | |
| T | 14-Feb | 2-3 Logarithmic Functions. | |
| W | 15-Feb | 2-3 Logarithmic Functions. | Quiz 3 |
| F | 17-Feb | Review | |
| M | 20-Feb | Exam I- Chapters 1 and 2 | |
| T | 21-Feb | 3-1 Simple Interest. | |
| W | 22-Feb | 3-2 Compound Interest. | |
| F | 24-Feb | 3-3 Future Value of an Annuity; Sinking Funds. | Quiz 4 |
| M | 27-Feb | 3-3 Future Value of an Annuity; Sinking Funds. | |
| T | 28-Feb | 3-4 Present Value of an Annuity; Amortization. | |
| W | 1-Mar | 3-4 Present Value of an Annuity; Amortization. | Quiz 5 |
| F | 3-Mar | Review | |
| M | 6-Mar | Exam II- Chapter 3 | |
| T | 7-Mar | 4-1 Systems of Linear Equations in Two Variables. | |
| W | 8-Mar | 4-2 Systems of Linear Equations and Matrices. | |
| F | 10-Mar | 4-3 Gauss-Jordan Elimination. | Quiz 6 |
| M | 13-Mar | Spring Break | |
| T | 14-Mar | Spring Break | |
| W | 15-Mar | Spring Break | |
| F | 17-Mar | Spring Break | |
| M | 20-Mar | 4-3 Gauss-Jordan Elimination. | Last day to drop |
| T | 21-Mar | 4-4 Matrices: Basic Operations. | |
| W | 22-Mar | 4-5 Inverse of a Square Matrix. | |
| F | 24-Mar | 4-6 Matrix Equations and Systems of Linear Equations. | Quiz 7 |
| M | 27-Mar | Review | |
| T | 28-Mar | Exam III- Chapter 4 | |
| W | 29-Mar | 5-1 Systems of Linear Inequalities in Two Variables. | |
| F | 31-Mar | 5-2 Linear Programming in Two Dimensions | |
| M | 3-Apr | 5-2 Linear Programming in Two Dimensions | |
| T | 4-Apr | 6-1 Logic. | |
| W | 5-Apr | 6-1 Logic. | |
| F | 7-Apr | 6-2 Sets. | Quiz 8 |
| M | 10-Apr | 6-3 Basic Counting Principles. | |
| T | 11-Apr | 6-4 Permutations and Combinations. | |
| W | 12-Apr | 6-4 Permutations and Combinations. | Quiz 9 |
| F | 14-Apr | Review | |
| M | 17-Apr | Exam IV- Chapters 5 and 6 | |
| T | 18-Apr | 7-1 Sample Spaces, Events, and Probability. | |
| W | 19-Apr | 7-2 Union, Intersection, and Complement; Odds. | |
| F | 21-Apr | 7-2 Union, Intersection, and Complement; Odds. | Quiz 10 |
| M | 24-Apr | 7-3 Conditional Probability and Independence. | |
| T | 25-Apr | 7-4 Bayes' Formula. | |
| W | 26-Apr | 7-5 Random Variable, Probability Distribution etc | |
| F | 28-Apr | 8-1 Graphing Data. | Quiz 11 |
| M | 1-May | 8-2 Measures of Central Tendency. | |
| T | 2-May | 8-3 Measures of Dispersion. | |
| W | 3-May | 8-4 Bernoulli Trials and Binomial Distributions. | |
| F | 5-May | 8-4 Bernoulli Trials and Binomial Distributions. | Quiz 12 |
| M | 8-May | 8-5 Normal Distributions. | |
| T | 9-May | 8-5 Normal Distributions. | Post Test |
| W | 10-May | Review | |
| F | 12-May | Exam V- Chapters 7 and 8 |