SampleFinalExam  Math 313  Fall 2014
Nota Bene. In each of the True or False problems: If true, give a proof of
the statement. If false, give a counterexample or a proof that the statement is
false.
1. True or False: Given any set X, there exists a surj
Exam3  Math 313  Fall 2014
1. Prove that 1 = .9999 by using only the definition of limit. Note that
you will have to explain what is the meaning of an expression like .999
as a limit of a certain sequence.
2. (a) Given a sequence cfw_an of real number
Quiz1  Math 313  Fall 2014
1. (a) Give the definition of convergence for S =
n=1 bn where S is a real
number and bn is a real number for each natural number n.
P
(b) Prove that the series 1+x+x2 +x3 +x4 +. converges when x < 1,
and that one can say t
Exam1  Math 313  Fall 2014
1. (a) Given a sequence cfw_an of real numbers, give the definition of the
statement: limn an exists.
(b) Prove that limn
n2
n2 +1
= 1.
2. (a) Give the definition of convergence for a series S =
n=1 bn where
S is a real numb
Quiz5  Math 313  Fall 2014
1. (a) Prove that the cardinality of the set P (X) of subsets of a set X is
greater than the cardinality of X.
(b) True or False: Every subset of the Real Numbers, other than the
Real Numbers themselves, is countable.
(c) Let
Exam2  Math 313  Fall 2014
1. Prove that 1 = .9999 by using the N definition of limit directly.
Note that you will have to explain what is the meaning of an expression
like .999 as a limit of a certain sequence.
2. (a) Give the definition of convergenc
Quiz3  Math 313  Fall 2014
1. (a) Suppose that an 0 forms an increasing, bounded sequence for n in
the natural numbers. The Completeness Axiom for the Real Numbers
implies that such a sequence must have a limit. Give an example of
such a sequence. Give
Quiz2  Math 313  Fall 2014
1. (a) Let
(d1 , d2 , d3 , )
be an infinite sequence of digits di , where a number di is said to be a
digit if it is a natural number between 0 and 9. Given such a sequence
consider the infinite series
X
dk /10k .
k=1
We abbre
Quiz6  Math 313  Fall 2014
Let R denote the real numbers. A function f : R R is said to be
continuous at a point a R if limxa f (x) = f (a). In detail, this means
that the above limit exists and is equal to f (a). In even more detail it means
that given
Quiz4  Math 313  Fall 2014
1. (a) Let cfw_an be a sequence of real numbers with n = 1, 2, 3, . Give
the definition that cfw_an is a Cauchy Sequence.
(b) Explain as clearly as you can why, given any infinite decimal of the
form
.d1 d2 d3 ,
the sequence
PROBLEM 24B
RON SALEM COMPANY
TRIAL BALANCE
6/30/2014
STEP ONE: SET UP THE PROBLEM
Debit
CASH
ACCOUNTS RECEIVABLE
SUPPLIES
EQUIPMENT
ACCOUNTS PAYABLE
UNEARNED REVENUE
COMMON STOCK
DIVIDENDS
SERVICE REVENUE
SALARIES EXPENSE
OFFICE EXPENSE
Credit
3,840
2,8
1
GIGANTIC PROBLEM ONE.
The Basic Company has a coffee and NY bagel stand in the student parking lot at MassBay.
A
ANALYZE THE FOLLOWING TRANSACTIONS FOR THE BASIC COMPANY
1Sep Owners invest $2,000 in the company in exchange for common stock.
2Sep The o
POPCORN COMPANY CHECKBOOK
DATE
DESCRIPTION
CHECK # STMT DEPOSITS
CHECKS
BALANCE
POPCORN COMPANY CHECKBOOK
DATE
DESCRIPTION
CHECK #STMT DEPOSITS
CHECKS
BALANCE
#

5Jan
Tom  Investment in co.
DEP
10,000
10,000
5Jan
Tim  Investment in co.
DEP
10,000
20,
MassBay Community College
Parsons
Financial Accounting I AC101
PRACTICE EXAM ONE
Chapter 1
Prof.
SPRING 2014
NAME_EXAM GRADE_
MULTIPLE CHOICE QUESTIONS 1 POINT EACH
1.
Accountants refer to an economic event as a
a.
b.
c.
d.
2.
The accounting process is co
FINANCIAL ACCOUNTING I  AC101
WHAT YOU NEED TO KNOW
CHAPTER ONE
Accounting in Action
1
Three basic activities of accounting:
_
_
_
2
Definition of accounting:
_
_
3
Give examples of:
Internal Users of
Accounting Info
External Users of
Accounting Info
_
_
MassBay Community College
Parsons
Financial Accounting I AC101
PRACTICE EXAM ONESOLUTIONS
Chapter 1
Prof.
SPRING 2014
NAME_EXAM GRADE_
MULTIPLE CHOICE QUESTIONS 1 POINT EACH
1.
Accountants refer to an economic event as a
a.
b.
c.
d.
2.
The accounting pro
Chapter 13  Statement of Cash Flows
Chapter 13
Statement of Cash Flows
ANSWERS TO QUESTIONS
1.
The income statement reports revenues earned and expenses incurred during a
period of time. It is prepared on an accrual basis. The balance sheet reports the
a
Stockholders Equity (Day 3)
I.
Components of Stockholders Equity and Terminology
II.
Stock Issuance Entries
III.
JetBlue 10K Exercise
IV.
Treasury Stock Transactions
V.
Retained Earnings
VI.
Dividends
a) Cash Dividends
b) Property Dividends
c) Liquidatin
Stockholders Equity (Day 1)
I.
Components of Stockholders Equity and Terminology
II.
Stock Issuance Entries
III.
JetBlue 10K Exercise
IV.
Treasury Stock Transactions
V.
Retained Earnings
VI.
Dividends
VII. Stock Splits
VIII. AOCI
IX.
I.
Equity Difference
Stockholders Equity (Day 2)
I.
II.
III.
IV.
Components of Stockholders Equity and Terminology
Stock Issuance Entries
JetBlue 10K Exercise
Treasury Stock Transactions
A. Cost Method
B. Par Value Method
V.
Retained Earnings
VI. Dividends
A. Cash Dividends
I.
II.
Chapter 19: Share Based Compensation (Day 1)
Share Based Compensation
a) Stock Options
b) Employee Stock Purchase Plan
c) Restricted Stock
Convertible Preferred Stock and Convertible Bonds
Earnings per share basic + diluted EPS = (Net Income prefer
I.
II.
III.
IV.
Earnings per Share (Day 1)
Basic Earnings per Share
Weighted average shares outstanding
Diluted Earnings Per Share
EPS with Multiple Dilutive Securities
I.
Basic Earnings per Share (EPS)
Basic EPS
=
Net Income Preferred Dividends
Average C