Math 105 
Study Ideas for the Final 


Part 1: Review of older material
             Exam 1 Review
             Exam 2 Review
             Exam 3 Review

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:
 6 - 9, 10a, 11
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, 10, 11
From the Exam 2 Study Guide (in Blackboard), review the following problems:
1 - 7, 10 - 30
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:
 1b, 3 - 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