Here is a quick summary of math topics that you should be reviewing for the final exam.
- Approximations, Units, Unit Conversion
- approximating the values by rounding to "nice" numbers
- converting from "smaller" units to "larger" units (for example, minutes to hours, inches to miles, etc)
- converting from "larger" units to "smaller" units (for example, hours to minutes, miles to inches, etc)
- multiply by 1 trick
- Percentages
- group sizes as percentage of a whole
- pay increases (one+ trick)
- discounts
- finding what percent of one amount is another amount
- inflation - what is your money worth tomorrow
- Averages
- averages vs. weighted averages
- average paradox (Simpson's Paradox)
- calculating GPA
- Linear growth
- calculating distance traveled within particular time
- currency exchange
- electricity bills (base pay)
- bonus calculation
- car rental fees
- Exponential growth
- simple interest vs. compound interest
- significance of doubling: rice and chessboard story, toilet paper and the Moon
- population growth, generations
- credit card payments
- retirement savings
- Using the IF-ELSE statement
- Nesting decision structures (IF statements inside other IF statements)
- The IF-ELIF-ELSE statement
- Logical operators (and, or, not)
- Logarithms
- figuring out the exponent, what_power_function
- bacteria growth - how much time does it take for population to double?
- how many digits/symbols to produce specified number of unique identifiers
- Statistics
- interpreting different types of graphs: histograms, dot plots, box plots
- approximating and calculating mean, median and mode - what kind of information they reveal
- scatter plots for numerical data
- modeling data with linear/quadratic/exponential/logarithmic functions
- approximating missing data based on the model
- categorical data
- frequency table, relative frequencies, conditional relative frequencies