MATHEMATICS 105Q    Spring 2006

The University of Connecticut/ Storrs

Final exam date (Day classes):

Wednesday, May 3, 2006, 10:30 AM -12:30 PM.

Section /Instructor	Building	Room
01 & 06 Deniz Karli	ARJONA	105
02 Kathryn Watson	ARJ	215
03 J. Lynn (Sudath) & 09 Lynn (Watson)	ARJ	105
05 G. M. Leibowitz	ARJ	143
07 Ganewatte/Sudath Ranasinghe	ARJ	143
12 & 13 Philip Lombardo	ARJ	143

FINAL EXAM TOPICS LIST -- MATHEMATICS 105Q – May 2006

Probable Format: Multiple Choice

Topics listed in textbook order

• Linear cost and revenue models.
• Formulating a supply or demand equation.
• Linear regression (Least squares lines)
• Systems of equations: Gauss-Jordan row reduction; free and basic variables; general solution.
• Matrix arithmetic. Matrix inverses.
• Input-output analysis.
• Geometric solution of linear optimization problem.
• Formulate a simplex tableau.
• Simplex method.
• Financial mathematics (formulas supplied): Compound interest. Systematic savings. Loans.
• Counting with Venn diagrams.
• Counting with multiplication principle; permutations, combinations, factorials.
• Equal likelihood probability.
• Birthday paradox.
• Conditional probability. Independent events. Mutually exclusive events.
• Bayes' theorem.
• Probability and Odds
• Repeated independent events

There will also be bonus problems from various parts of the course, so it will be possible to get a grade of more than 100% on the final exam.

Suggested review problems from Tan, ”Finite Mathematics” 8th edition.

· 35/1 49/11

· 38/39, 47

· 59/9

· 92/41 104/11

· 129/1,13 146/9

· 158/Self-check#1 159/11(a)

· 192/1,14

· 233/3, 7,11, 13

· 290/47, 49; 304/15; 316/19; 309/Example 1

· 351/31

· 358/9-11 369/23, 39, 43, 47

· 412/7, 18, 21a

· 414/42, 43

· 425/11, 15, 17

· 434/20, 22

· 488/12, 22, 26