Math 103
| SECTION
| TOPIC
| "CALCULATOR"
| TIPS & NOTES
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| 1.1
| arithmetic operations
Operations
| Calculator's + - * / x2 ( ) ± =
| absolute value of difference=distance
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| 1.1
|
or all P
| mathpapa.
| Multiply:* or () Divide:/ Exponent:^2
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| 1.2
| prime factorization
| calculatorsoup: Prime Factors
| primes<64K
primes5M.png
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| 1.2
| multiples of an integer
| calculatorsoup: Multiples
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| 1.2
| least common multiple (LCM)
| calculatorsoup: Least Common Multiple (LCM)
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| 1.2
| factors of an integer
| calculatorsoup: Factoring
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| 1.2
| greatest common factor (GCF)
| calculatorsoup: Greatest Common Factor (GCF)
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| 1.3
| convert Mixed number to Improper fraction
| mathpapa.
| 5 2/3 Step-By-Step
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| 1.3
| convert Improper to Mixed number
| calculatorsoup: Simplifying Proper and Improper Fractions
| fractions
fractions
1/n
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| 1.3
| convert Mixed number to Decimal
| mathpapa.
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| 1.3
| convert fraction to Decimal
| mathpapa.
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| 1.3
| convert Decimal to fraction
| calculatorsoup: Decimal to Fraction
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| 1.3
| compare two fractions
| calculatorsoup: Comparing Fractions
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|
| 1.3
| fraction calculator
| mathpapa.
| Fraction facts
|
| 1.4
| square rooting
| Calculator's √
| number first, then the √
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| 1.4
| root arithmetic
| mathpapa
| sqrt
√a
roots
rootX
Mult. table
Real numbers
Real number line
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| 1.5
| exponentiation/powers
| Calculator's x2 x3 xy
|
Exponent rules
Exponents more
exponent.docx
|
| 1.5
| reciprocal
| Calculator's 1/x
|
ASCII
googol=10100=
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
googolplex=10googol=
1 followed by a googol 0's (fill up universe)
|
| 1.5
| scientifc notation converter
| rapidtables: Scientific notation converter
| limited range. No commas in/out
|
| 1.5
| scientifc notation calculations
| rapidtables: Scientific Notation Calculator
| +-*/ of 2 sci. not. nos.
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|
| 2.1
| algebraic expression evaluation
| mathpapa
| p.67 #1: 5x2+2y @ x=3; y=7
Alg expr
|
| 2.2
| simplifying algebraic expressions
| mathpapa
|
|
| 2.3
| solving linear equations
| mathpapa
| then add @x=solution
Equations
|
| 2.4
| literal equations: solve for another variable
| mathpapa
| tell which variable to solve for. It lowercases all, alphabetic order.
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| 3.1 3.2
| word problem → linear equation
| mathpapa
| solves the resulting linear equation
atmosphere
|
| 3.3
| units, ratios, rates, linear proportions
| mathpapa
| solves the resulting linear equation
|
| 3.4
| percent problems. A=PB.
Increase/decrease:final-first=Pfirst (first=B, A=final-first).
Markup: S=B+A (B=base, A=markup).
Dscount: S=B-A (B=base, A=discount|markdown)
| mathpapa
| solves the resulting linear equation
|
| 3.5
| (linear) inequalities
| mathpapa
| <= >= (MP can @x= evaluate single inequality but not two.)
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| 4.1
| monomial*polynomial, binomial*binomial (FOIL)
| mathpapa.
| (ax+b)(cx+d)=acx2+(ad+bc)x+bd
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| 4.2
| factoring: 1.common factor 2.quadratic trinomial into two linear binomial factors and also solve quadratic equation
| mathpapa.
| "standard form": ax2+bx+c=0
|
| 4.3
| quadratic formula
| mathpapa.
| calculate the solutions for (approx.) decimal value
gravity
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| 5.1
| plot points in xy plane.
| mathpapa.
| (x1,y1);(x2,y2) ...
10x10 graph
2x2 graph (zoom in browser)
|
| 5.1
| evaluate function
| mathpapa.
| =y (f(x)doesn't work) @x=
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| 5.1
| graphing linear and quadratic functions
| mathpapa.
| y= xmin xmax ymin ymax to change viewport. Many:f1;f2;f3
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| Linear functions & equations, examples
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| Dimensions
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| 5.2
| linear equation 2 vars.≡linear function
Ax+By+C=0 ≡ y=mx+b ≡ f(x)=mx+b
| mathpapa.
| slope: m, y-intercept: b
0=mx+b solve to get x-intercept, or -b/m.
|
| 5.3
| solving and graphing systems of linear equations.
| mathpapa
| Solve [& evaluate a point]: EQ1;EQ2 [@(a,b)] Graph.
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| 5.4
| quadratic function f(x)=ax2+bx+c
| mathpapa
| a>0:up, a<0:down.
|a| small:wide,shallow. |a| large:narrow,steep.
vertex (min or max) x:-b/2a y:f(-b/2a)=c-b2/4a
x-intercepts (if any) Solutions: 0=ax2+bx+c
y-intercept=c.
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| Quadratic functions, examples
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| 5.4
| quadratic function
| Symbolab
| zoomable dragable graph. important points.
|
| 5.5
| exponential functions
| mathpapa
OR Calculator: xy to evaluate. 1 Inv ex for e
| e
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| Exponential functions, examples
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| 5.6
| logarithmic functions
| Mathpapa OR Calculator: x log or ln to evaluate
| log scale
earthquake data
earthquake graph
Elements
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| Logarithmic functions
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| 6.1
| simple interest
| Simple interest calculator
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| 6.2
| compound interest
| Compound interest calculator
| worksheet
|
| 6.3
| annuities
| Annuity calculator
| worksheet
|
| 6.4
| mortgages
| Mortgage calculator
| worksheet
|
| 7.1
| counting: fundamental, permutations, combinations
| Permutations & Combinations calculator
| permutations
combinations
card hand generator
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| 7.2
| probability
| coin & die flipping experiments
| 
birthdays
|
| 8.1 8.2 8.3
| frequency distribution, histogram and stats
| freq dist, histogram, stats
freq dist-->data
| middles
Generate random data distributions
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| 8.2 8.3
| mean & standard deviation
| Calculator: View|Statistics: Add the xi Then ∑ x̄ σn-1
| Ye Olde Data
|
| 8.4
| normal distributions, z-scores
| x-->Z-score-->CDF
| graph Normals in Mathpapa.
C.L.T. demo
head counts
|
| 8.5
| correlation
| correlation, scatter plot, regression line
| examples
1969 draft
data
Anscombe's quartet
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Windows 10 Calculator tips:
"Navigation" | Scientific
"History" to recall previous expression
type number first, then ± x2 √ log ln n! 1/x
2nd for more operations
Windows 7/8 Calculator tips:
View | Scientific
View | History
View | Digit grouping (optional, to see the ,s)
number, then ± x2 √ log ln n! 1/x
PDF textbook 3.8MB
Practice Exam (Word doc)
answers
Cartoons
Youtube videos list
graph papers for printing
winplot usage tips
BLS occupations Excel
ASCII