Class Notes for Mathematical Sciences at Ball State University

tree diagram: branches shown by choices fundamental counting principle: choose from one group choose from another group total of items is M*N experiment: any occurrence for which the outcome is uncertain sample space: set ...

measures of central tendency average or typical in a situation mean obtain all data and divide by the sum symbol of summation sum of data items median arrange data s > L odd = median is middle even = mean of two middle s m...

8.7 mortgage: long term installment loan down payment: portion of the sale price of the home that the buyer initially pays to seller amount of the mortgage: difference between sale price and down payment fixed rate mortgag...

8.5 annuities: the compound interest formulas the value of an annuity: sum of all deposits plus all interest paid FORMULA: A= P (( 1+r )^2 1 ) r ordinary annuities: payments are made at the end of each period annuity due: ...

8.6 installment loan: loan that you pay off with weekly or monthly payments or payments in some other time period fixed installment loans: loans you make regular payments on FORMULA: fixed installment loans PMT = P(rn) [1(...

8.2 Income tax: percentage of your income collected by gov. to fun its services and programs Gross income: total income for year includes wages, tips, interests includes investments, unemployment Adj. gross income: taking ...

8.3 Interest: amount of money that we get paid for lending or investing Principal: what you invest into a savings account Rate: percent given at the bank on accounts (expressed as a decimal) simple interest: interest calcu...

8.4 compound interest: interest computed on the original principal as well as on any accumulated interest compounding period: when compound interest is paid once a year, the compounding period is one year compounding semia...

MATH 125 (exam 1) CHAPTER 12.1: SAMPLING, FREQUENCY DISTRIBUTIONS AND GRAPHS STATISTICS: a method for collecting, organizing, analyzing and interpreting data (numerical information), as well as drawing conclusions based...

CLASS NOTES – 9.6 THE CHAIN RULE Many times we need to find the derivative of functions which include other functions, i.e. functions within functions (composite functions). In order to ...

CLASS NOTES 9.5 PRODUCT AND QUOTIENT RULES When the function with which we’re working is actually the product of two other functions, we might have to use another method for finding the derivative...

CLASS NOTES 9.4 DERIVATIVE FORMULAS d � � I. Constant Rule – � �= 0 dx Proof: EXAMPLES: d [ ]= __________________ D x–14]...

CLASS NOTES 9.3 THE DERIVATIVE As stated earlier, the difference between calculus and algebra is that, using calculus, we can determine the rate at which a function is changing at an...

CLASS NOTES 9.2 CONTINUITY AND LIMITS AT INFINITY Definition: A function, f, is continuous at x= c if all three of the following conditions are met: 1) xﾮ cf( ) exists, 2) f ( )exi...