Math 105 
Study Ideas for the Final 


Part 1: Review of older material 

Part 2: Practice problems from the newer material  (13.2 - 13.4, 15.1)
            Solutions to new material practice problems



Exam 1 Material (Chapter 1, Chapter 2, Section 7.5)

Topics to review: Polya's method, set notation, cardinal number of a set, Venn diagrams for problem-solving, and any other concepts needed in the questions from Exam 1 and the Exam 1 Study Guide listed below.

Topics that will not be on the final: Sequences, shading Venn diagrams, converting to/from scientific notation.

From Exam 1, review the following problems:
 4, 5, 7, 8
From the Exam 1 Study Guide (in Blackboard), review the following problems:
5, 6, 9, 11 - 13, 17 - 21

Exam 2 Material (Chapter 10, Chapter 11)

Topics to review: Counting (including factorials, combinations, permutations, slot method), probability with counting techniques (including factorials, combinations, permutations, slot method), odds, and any other concepts needed in the questions from Exam 2 and the Exam 2 Study Guide listed below.

Topics that will not be on the final: Distiguishable arrangements, conditional probability, expected value.

Exam Two Formulas that will be given on the final:

Permutations:

Combinations:


 

From Exam 2, review the following problems:

 1 - 3, 5 - 8
From the Exam 2 Study Guide (in Blackboard), review the following problems:
1 - 7, 10 - 31
Exam 3 Material (Chapter 12, Section 13.1)

Topics to review: Mean, median, mode, range, standard deviation, frequency distribution tables, bar graphs, histograms, inflation, simple and compound interest, continuously compounded interest,  and any other concepts needed in the questions from Exam 3 and the Exam 3 Study Guide listed below.

Topics that will not be on the final: Circle graphs (pie charts), quartiles, box plots, stem-and-leaf diagrams, line graphs, working with grouped data (except as needed for bar graphs and histograms), z-scores, normally distributed data.

Exam Three Formulas that will be given on the final:

Standard Deviation:  


Simple Interest: I = Prt

Simple Interest Future Value: A = P(1 + r t)

Compound Interest Future Value:

 

Continuously Compounded Interest: A = Pert


From Exam 3, review the following problems:
  1cd, 3, 4, 6 - 9
From the Exam 3 Study Guide (in Blackboard), review the following problems:

1a-e, 2 - 6, 12bcfg, 20, 26 - 33

Newer material: 13.2 - 13.4, 15.1

 Practice problems from the newer material  
 Solutions to new material practice problems