Math 113 Resources
Chapter numbers correspond to “Elements of Mathematical Reasoning”, Third Custom Edition for Illinois State University, published by Pearson Custom Publishing. ISBN: 0-536-18515-8
Note: This custom edition is divided into two main sections, so there are some chapter number duplications. Section 1 uses letters to identify subchapters (like 4D), while Section 2 uses numbers (like 4.3).
Book Section 1
Thinking Critically: Section 1, Chapter 1.
Reasoning (inductive and deductive), argumentation, logic, truth tables, Venn diagrams.
- http://en.wikipedia.org/wiki/Logic
- http://en.wikipedia.org/wiki/Truth_table
- http://en.wikipedia.org/wiki/Venn_diagrams
- http://en.wikipedia.org/wiki/Inductive_reasoning
- http://en.wikipedia.org/wiki/Deductive_reasoning
- http://www.khanacademy.org/video/understanding-logical-statements-1?playlist=Algebra%20I%20Worked%20Examples
- http://www.khanacademy.org/video/inductive-reasoning-2?playlist=Algebra%20I%20Worked%20Examples
- http://www.khanacademy.org/video/deductive-reasoning-3?playlist=Algebra%20I%20Worked%20Examples
Units: Section 1, Chapter 2.
Units, conversions between units, standardized units, problem-solving.
- http://en.wikipedia.org/wiki/Unit_converter
- http://en.wikipedia.org/wiki/Units_conversion_by_factor-label
- http://en.wikipedia.org/wiki/Units_of_measurement
- http://www.khanacademy.org/video/introduction-to-ratios--new-hd-version?playlist=Pre-algebra
- http://www.khanacademy.org/video/unit-conversion-example--drug-dosage?playlist=Pre-algebra
Compounding: Section 1, Chapter 4.
Interest (simple and compound), investments, loan payments.
- http://en.wikipedia.org/wiki/Interest
- http://en.wikipedia.org/wiki/Compound_interest
- http://www.khanacademy.org/video/introduction-to-interest?playlist=Precalculus
- http://www.khanacademy.org/video/introduction-to-compound-interest-and-e?playlist=Precalculus
Exponents: Section 1, Chapter 8.
- http://en.wikipedia.org/wiki/Exponentiation
- http://www.purplemath.com/modules/expofcns.htm
- http://www.youtube.com/watch?v=Btuof7Z0vNQ&feature=fvwrel
- http://www.khanacademy.org/video/level-1-exponents?playlist=Pre-algebra
Logarithms: Section 1, Chapter 8.
- http://en.wikipedia.org/wiki/Logarithm
- http://www.purplemath.com/modules/logs.htm
- http://www.khanacademy.org/video/introduction-to-logarithms?playlist=Pre-algebra
Exponential Growth and Decay: Section 1, Chapter 8.
- http://en.wikipedia.org/wiki/Exponential_growth
- http://en.wikipedia.org/wiki/Exponential_decay
- http://en.wikipedia.org/wiki/List_of_exponential_topics
- http://www.mathsisfun.com/algebra/exponential-growth.html
- http://www.khanacademy.org/video/exponential-growth-functions?playlist=ck12.org%20Algebra%201%20Examples
- http://www.khanacademy.org/video/exponential-growth?playlist=Precalculus
- http://www.khanacademy.org/video/exponential-decay-functions?playlist=ck12.org%20Algebra%201%20Examples
A video narrative about exponential growth, with many real-world examples such as population and energy use.
Use this interactive calculator to experiment with the different variables in exponential growth and decay, such as growth/decay rate, time between doublings/halvings, resulting population numbers, and more.
Book Section 2
Khan Academy statistics playlist.
Statistics: Section 2, Chapter 1.
Definitions, sampling, types of statistical studies, evaluating studies.
- http://en.wikipedia.org/wiki/Statistics
- http://en.wikipedia.org/wiki/Outline_of_statistics
- http://en.wikipedia.org/wiki/Sampling_(statistics)
- http://www.khanacademy.org/video/sampling-distribution-of-the-sample-mean?playlist=Statistics
Statistics: Section 2, Chapter 2.
Data types (discrete and continuous), levels of measurement, measurement error, percentages in statistics, index numbers.
- http://en.wikipedia.org/wiki/Level_of_measurement
- http://en.wikipedia.org/wiki/Sampling_error
- http://en.wikipedia.org/wiki/Index_numbers
Statistics: Section 2, Chapter 3.
Frequency tables, data distribution and graphical representations, misleading uses of graphs.
- http://en.wikipedia.org/wiki/Frequency_tables
- http://en.wikipedia.org/wiki/Histogram
- http://en.wikipedia.org/wiki/Box_plot
- http://en.wikipedia.org/wiki/Stem-and-leaf_plot
- http://en.wikipedia.org/wiki/Time_series
Statistics: Section 2, Chapter 4.
Averages, shapes of distributions (number of modes, symmetry, skewness, and variation), measures of variation, standard deviation.
- http://en.wikipedia.org/wiki/Arithmetic_mean
- http://en.wikipedia.org/wiki/Skewness
- http://en.wikipedia.org/wiki/Standard_deviation
- http://www.khanacademy.org/video/statistics--the-average?playlist=Statistics
- http://www.khanacademy.org/video/statistics--variance-of-a-population?playlist=Statistics
- http://www.khanacademy.org/video/statistics--standard-deviation?playlist=Statistics
Statistics: Section 2, Chapter 5.
The normal distribution and its properties, standard scores, the Central Limit Theorem.
- http://en.wikipedia.org/wiki/Normal_distribution
- http://en.wikipedia.org/wiki/Standard_score
- http://en.wikipedia.org/wiki/Central_limit_theorem
- http://www.khanacademy.org/video/introduction-to-the-normal-distribution?playlist=Statistics
- http://www.khanacademy.org/video/ck12-org-normal-distribution-problems--z-score?playlist=Statistics
- http://www.khanacademy.org/video/central-limit-theorem?playlist=Statistics
- http://www.khanacademy.org/video/sampling-distribution-of-the-sample-mean?playlist=Statistics
Probability: Section 2, Chapter 6
Khan Academy probability playlist
- http://www.youtube.com/user/khanacademy#p/c/C58778F28211FA19
- http://en.wikipedia.org/wiki/List_of_probability_topics
http://www.cut-the-knot.org/probability.shtml
Introduction to probability.
Conditional probability.
Probability of dependent events.
Several kinds of probability problems explained.
