Math 101 Fall 2009-2010
Text Title: Finite Mathematics and Calculus Plus MyMathLab Student Starter Kit, 8 th Edition by Lial, Greenwell and Ritchey
Publisher: Pearson/ Addison Wesley
ISBN: 0321454162
Week
1
Section Objectives
1.1 Slopes and Equations of Lines
Practice Problems
Page15
• Determine when a given equation is linear.
• Describe the kind of physical behavior that leads to a linear model.
• Recognize point-slope and slope-intercept forms of linear equations.
• Read off slope and intercept from a given linear equation.
• Calculate Slope through two points
• Given a slope and a point, or two points, construct the line they determine.
• Graph linear functions. Explain when they are perpendicular or parallel.
1,5,8,9,12,17,19,24,27,29,32,35,48,50,54,55,59,63,65
1.2 Linear Functions and Applications Page 27
• Understand and be able to evaluate a linear function
• Given data on supply and demand of a good, write equations that describe these as linear functions of price.
• Use such models to explain the ideas of surplus, shortage, equilibrium price, and equilibrium quantity.
• Explain cost, revenue, profit, break-even quantity, and break-even point.
• Interpret a model line’s slope and intercept features in physical terms like marginal cost.
1,4,10,11,13,19,21,23,26,29,31,35,37,39
2 1.3 The Least Squares Line Page 41

Math 101
3
4
Fall 2009-2010
• Master the summation notation as a tool for the objectives below.
• Given multiple data points, find the line that best describes their behavior.
• Interpret this line’s slope and intercept features to describe the behavior of the quantity studied.
• Use the fitted line to make predictions or extrapolations about the quantity studied.
• Calculate the coefficient of correlation for this line.
Interpret this number to describe how good the fit is.
• Explain what a strong or weak correlation means in drawing conclusions from data.
2.1 Solutions of Linear Systems by the Echelon Method
• Describe the kinds of situations that are modeled by systems of equations.
• Explain what a solution of a system of equations is.
Discuss the types of solutions that can occur: unique, infinite, and nonexistent.
• Use the echelon method to solve linear systems.
• Interpret parameters of an infinite solution set in physical terms. Interpret infinite solution sets when whole-number answers are required.
2,5,8,9,15,21
Page 65
1,6,9,13,17,23,27,31,34,37,41,51
2.2 Solutions of Linear Systems by the Gauss-Jordan Method Page 80
• Translate linear systems into matrix notation and vice 4,7,12,15,18,21,23,26,29,32,33,34,40,44,49,50,56,61,64 versa.
• Use row operations and the Gauss-Jordan method to solve linear systems in matrix form.
• Relate the echelon method and the Gauss-Jordan method. Relate the forms of reduced matrices to the kinds of solution sets of linear systems.
2.3 Addition and Subtraction of Matrices
• Add and Subtract Matrices
2.4 Multiplication of Matrices
Page 91
1-6, 8-14, 17,20,21,23,25,28,32,34-38,40,43,46,48
Page 103

Math 101
5
6
• Explain what the allowable sizes are and when a matrix can be multiplied
• Use matrix operations to solve matrix equations.
• Interpret matrix operations in terms of the physical systems they model.
2.5 Matrix Inverses
• Explain what the allowable sizes are and when a matrix can be inverted
• Use matrix inverses to solve matrix equations.
Fall 2009-2010
Page 116
5,6,7,8,11-16,27-34,43,44,46,47,48
1,3,6,8,9,11,12,13,17,19,25,26,28,30,31,32-35,43,47,49
10.1 Properties of Functions Page 568
• Define function, domain, and range.
• Determine whether a given relationship is a function.
3-7,10,13,17,20,22,24,27,30,31,35,37,40,41
,44,45,47,48,51,54,56,57,58,60,62,64,65,76,82 (not c and d)
10.2 Quadratic Function; Translation and Reflection Page 581
• Define quadratic functions algebraically. Give some different forms and explain the purposes for which each is useful.
• Use the process of completing the square to explain the quadratic formula.
• Describe parabolas geometrically. Define and locate their vertex. Interpret the vertex of a quadratic function
1-9,12,13,19,20,21-29,31,34,43,44,49,51,55,62,64 describing a quantity in application.
• Discuss the symmetries of parabolas. Explain the geometric effect of horizontal and vertical translation and reflection.
• Describe the algebraic effects of horizontal and vertical translation and reflection on the equation of a parabola.
• Use these concepts to graph parabolas quickly
10.3 Polynomial and Rational Functions Page 593

Math 101
7
8
Fall 2009-2010
• Relate the degree and leading coefficient of a power function or polynomial to its overall shape, especially to possible relative extrema and real zeros.
• Define rational functions.
• Define horizontal and vertical asymptotes. Interpret the meaning of asymptotes when applied to the limits of a physical model. Specifically apply this to cost and marginal cost with few or many items.
• Graph high-degree polynomials and rational functions
3, 6-15,21,22,24,25,26,29,33,38,39,41,43,46,48,52, 56
10.4 Exponential Functions Page 608
• Define exponential functions
• Define the number e and explain why it is important for exponential functions.
• Discuss the most frequently-used bases and exponents
1-12,15,16,17,19,21,23,34,27,28,32,44,45 for such functions, and give their notation.
• Graph exponential functions
• Give the simple, compound, and continuous compound interest formulas.
• Use the properties of exponential functions to solve equations involving these functions
10.5 Logarithmic Functions Page 623
• Use the properties of logarithms to solve equations involving these functions.
• Graph logarithmic functions.
• Define logarithmic functions and explain how they are related to exponential functions. Explain the difference in the circumstances of their applicability.
• Discuss doubling time, the rules of 70 and 72, and the index of diversity as applications of exponents and logs.
2,5,6,9,11,13,16,17,19,21,23,24,27,29,32,33,
35,41,43,45,48,51,54,59,61,62,65,66,77,79,82
10.6 Applications: Growth and Decay; Mathematics of Finance Page 635

10
Math 101
9
• Discuss exponential growth and decay. Explain their distinguishing exponents and their physical meaning.
• Discuss half-life, effective interest rate, present value,
26,27,30,31,38,40,45 and learning curves as applications of exponential growth and decay. Calculate these quantities from data in physical situations.
Fall 2009-2010
5.1 Simple and Compound Interest Page 231
• Understand the difference between the Simple and
Compound Interest
• Understand the difference between Future Value and
Present Value and how to calculate them
5,7,9,10,11,14,15,19,21,23,26,28,30,33,35,37,41,43,47,49,51,63;
Page 610: 36,38,39
Page 623: 68,70,71
5.2 Future Value of an Annuity Page 243
• Define a geometric sequence using its starting term and common ratio. Give the formula to sum the first n terms of such a series.
• Discuss the components of an ordinary annuity and an
21,24,25,28,31,34,36,38,39,42,45,48,51,53,57,59, 67 annuity due: payment period, term, present value, and future value. Calculate the future and present values of such annuities.
• Describe sinking funds and relate them to ordinary annuities. Calculate the required payments for sinking funds of specified future value and term.
5.3 Present Value of an Annuity; Amortization
• Describe an amortized loan. Calculate the required payments and calculate the total amount paid
Page 25 2
7,8,11,14,15,18,21,29,31,34,36,37,39,40.45, 47,49

Math 101 Fall 2009-2010
Objectives for Math 101
Math 101 at Drexel is designed to teach an array of concepts and processes to students with an understanding of algebra, usually those who are likely to continue to Math 102 in a major such as business or the health professions. This list summarizes the material you should know by the end of this course, in order to progress confidently to Math 102 and future coursework.
The concepts of this course fall into several groupings:
Equation Solving
Before mathematical concepts can be applied, they must be mastered. The core material of Math 101 consists of a body of mathematical techniques for manipulating and solving equations. By the end of this course, you should be confident in your ability to:

Solve systems of linear equations, individually or in matrix form.

Solve quadratic, exponential and logarithmic equations explicitly.

Work with higher-order polynomials to obtain what information is possible.

Find the meaningful boundary behaviors of rational and other asymptotic functions by examining their extremes.

Graph functions of all types.
Model Fitting
Once these skills are mastered, they can be put to use describing the natural world and modeling quantities of interest. By solving the equations in these models, mathematics gives us useful knowledge about complex objects. In Math 101, this manifests as the study of how to:

Explain the distinguishing features of lines, polynomials, rational functions, exponentials and logarithms.

Given data on a physical system, select a useful mathematical model and cast the system in terms of that model. In the case of linear models, the best possible line.

Explain what the model predicts for that system, both in qualitative terms of overall behavior, such as symmetries and its extremes, and in quantitative terms calculated from the data using the equation-solving techniques above.
Financial Concepts
A large part of the applications of the techniques and listed above are financial concepts that are useful to homeowners, credit con­sumers, smallbusiness operators, and anyone who needs to understand common types of loans or investments. After taking Math 101, you should be able to:

Define financial terms like revenue, profit and cost; equilibrium price; compound interest and amortized payments; and the value of loans and annuities.
 Calculate payments required for a loan; project the profitability of a busi­ness process modeled by some mathematical system; evaluate the worth of common financial instruments like annuities; make financial decisions based on these judgments.

Math 101 Fall 2009-2010
Course Policies and Class structure:
Your class will meet four days per week with your instructor. Class time will be split with your instructor lecturing 2 days of the week, and going over homework problems the other two days of the week. Attendance to every class is expected and missing many classes will negatively affect your course grade.
Testing and Assignments:
Midterms: You will have two midterms during the common exam period. Your midterms will be at 8 am on Wednesday, October 14 th and
Wednesday November 11 th . at a location TBA. The room assignments and test dates will be posted on your review sheets and on BB Vista. Also note that you will be required to bring your Drexel i.d. card with you to the midterms and the final. We will be using a card swipe system to take attendance.
Final Exam: Your final exam will be cumulative and will take place during finals week, at a time and location TBA by the registrar’s office. The time and location will be posted on the Student Resource Center Webpage as well as printed at the top of the final exam review sheet that will be given out the last week of class.
In –Class Quizzes: You will have quizzes in-class every beginning Friday of week 2. They will be given at the beginning of the class period and will consist of 2 or 3 questions coming from the previous section. The course calendar gives a detailed description of what will be quizzed and when. You can expect the problems to come directly from the practice problems assigned to each section. From time to time there might be a single “wildcard” problem that does not come directly from the homework.
MyMathLab Homework: MyMathLab is provides additional online course materials that match your textbook. We will be using MyMathLab for graded homework assignments. There will be one MyMathLab homework assignment per section covered. A detailed schedule of when the quiz will be made available and when the homework will be due is attached to this syllabus. We will not drop any homeworks.
Attendance and Participation: Although not formally part of the course grade, you are expected to attend every class and to participate in class discussions. Bringing and using laptops in class is strictly prohibited. If you attempt to use your laptop in class, you will be asked to put it away.
* Note for Students who are in the Lebow College of Business:
Before each midterm, a review sheet will be provided. Those review sheets must be completed by you and uploaded into your e-portfolio. The eportfolio will be discussed in more detail in your Busn 101 class.
Students with Disabilities
With proper documentation, students with disabilities can have appropriate accommodations. If you need any such accommodations, please be sure to get the proper paperwork from the Office of Disability Services.

Math 101
Grade Breakdown:
Your final grade will be based on the weighted average of the following grades:
In-Class Quizzes: 10% (lowest quiz gets dropped)
MyMathLab Homework: 10%
Midterm I: 25%
Midterm II: 25%
Final: 30%
Grading System:
Fall 2009-2010
A+ 96%-100%
A 93%-95.99%
A- 90%-92.99%
B+ 86%-89.99%
B 83%-85.99%
B- 80%-82.99%
C+ 76%-79.99%
C 73%-75.99%
C- 70%-72.99%
D+ 65%-69.99%
D 60%-64.99%
F Below 60%
Notes on Grades: THERE WILL BE NO EXTRA CREDIT IN THIS COURSE .
Calculator Requirements:
You may use a calculator in this course. We recommend either a Texas Instruments BA II Plus or a Texas Instruments 30X IIS
However, you may use whatever basic scientific calculator you have or can afford to purchase. They can be bought for as little as $10
You may NOT use a calculator of the following types:
 calculators that contain electronic dictionaries
 calculators with paper tape or printers
 calculators that "talk" or make noise
 calculators that require an electrical outlet
 cell-phone calculators
 pocket organizers or personal digital assistants
 hand-held minicomputers, PowerBooks, or laptop computers
 electronic writing pads or pen-input/stylus-driven devices

Math 101 Fall 2009-2010
 graphing calculators
If you have a graphing calculator or cell phone with you during an exam, it will be taken away from you for the remainder of the test, and returned after the exam has finished.
A few words about your responsibilities:
The job of the instructor of this course is to facilitate learning. The job of the students in this course is to be a responsible student. As you progress through your college career, and into the working world, the skills you learn here about how to meet deadlines, how to be on time to class, and ultimately how to take responsibility for yourself will be crucial. The time to begin cultivating those skills is now. Consider your job as a student as being on time, attentive, meeting deadlines, and being involved and responsible for learning.
If you are having problems understanding the concepts of this course, the Math Resource Center is a great resource available to help you. It is open Mon.-Thurs. from 10-7 and Fri. from 10-4.