freeCodeCamp/guide/english/mathematics
KevinatorTrainer5 df0bb71bce Elaboration of unknown side cases on Pythagoras Theorem (#22373)
-I decided to extend the amount of information on Pythagoras Theorem, through explaining other cases of finding an unknown side apart from the hypotenuse, which are the perpendicular height and base.
2018-11-21 08:52:03 -06:00
..
2-by-2-determinants
2d-shapes-polygons-and-more <pre> Formatting and formula correction (#24811) 2018-11-08 19:09:53 +05:30
3-by-3-determinants
absolute-value add text "The absolute value of a quantity x is denoted by |x| (the quantity is enclosed between two vertical bars)." (#21402) 2018-11-10 13:51:05 +07:00
accuracy-and-precision
add-fractions-with-unlike-denominators
adding-and-subtracting-negative-numbers
adding-and-subtracting-radicals-and-square-roots
adding-and-subtracting-time
adding-and-subtracting-vectors
adding-fractions
algebra
all-factors-of-a-number
amplitude-and-period-of-sinusoidal-functions-from-equation
amplitude-period-phase-shift-and-frequency
analytic-geometry-distance-formula
analytic-geometry-midpoint-formula
angles-acute-obtuse-straight-and-right
antiderivatives-and-indefinite-integrals
area-between-a-curve-and-the-x-axis
area-of-a-circle
area-of-a-ellipse
area-of-a-parallelogram
area-of-a-rectangle
area-of-a-sector
area-of-a-square <pre> formatting for examples (#24806) 2018-11-08 20:06:03 +05:30
area-of-a-trapezium
area-of-a-triangle
area-of-trapezoids
area-of-triangles
arithmetic-sequence
arithmetic-series
asymptotes-worked-examples
axis-of-symmetry-of-a-parabola
basic-log-rules-and-expanding-log-expressions
basic-number-properties-associative-commutative-and-distributive
basic-percent-of-word-problems
basis
bayes-theorem
binary-decimal-hex-conversion
binomial-distribution
calculating-conditional-probability
calculating-standard-deviation-step-by-step
calculations-with-months
central-limit-theorem
chain-rule-introduction Grammar and simplified explanation with examples (#21315) 2018-11-09 13:39:38 +05:30
circle
circle-equations
combinations-and-permutations
complementary-angles
completing-the-square
completing-the-square-circle-equations
completing-the-square-finding-the-vertex
completing-the-square-solving-quadratic-equations
complex-fractions
complex-numbers-introduction Added content (#34267) 2018-11-13 12:54:04 +05:30
composition-of-functions
composition-of-functions-composing-functions-with-functions
compute-determinant-of-matrix-simulink
conditional-probability
conditional-probability-with-bayes-theorem
confidence-intervals
congruent
conics-hyperbolas-introduction
conics-parabolas-introduction
constructing-a-box-plot
converse-inverse-contrapositive
conversion-of-temperature-celsius-to-fahrenheit
convert-decimals-to-fractions
convert-fractions-to-percents replace existing text with the following new text "Divide the top of the fraction (the numerator) by the bottom of the fraction (the denominator); then multiply the result by 100 to obtain the number in percentage form. Example: Step 1: 1/4 = .25 Step 2: .25 x 100 = 25% In this example, we have determined that 1/4 equals 25%." (#21356) 2018-11-09 22:36:30 +00:00
convert-percents-to-fractions
converting-am-pm-to-24-hour-clock
converting-between-radians-and-degrees
converting-directly-from-binary-to-hexadecimal
converting-from-decimal-to-binary
converting-pounds-to-ounces
converting-units-centimeters-to-meters
converting-units-minutes-to-hours
correlation add text "An example of positive correlation would be the relationship between people's height and weight: taller people tend to be heavier. If we look at the average data for a large group of people, as height increases so does weight." (#21328) 2018-11-09 07:49:44 -06:00
coterminal-angles
counting
cramers-rule
cross-multiply
cross-product
cylinder-volume-and-surface-area
decimals-fractions-and-percentages
definition-of-factor
definition-of-mean
definition-of-mode
definition-of-real-number
definition-of-rectangular-prism
degrees-to-radians
dependent-and-independent-variables
derivative Fixed errors, added content (#34278) 2018-11-10 10:32:16 +05:30
derivative-of-2
derivatives
deriving-integration-by-parts-formula Added content to stub (#34301) 2018-11-13 12:52:32 +05:30
descartes-rule-of-signs
determinant-of-a-3-by-3-matrix-standard-method
determinant-of-a-matrix
die-rolling-probability Added another clear example to probability (#21688) 2018-11-05 04:04:40 -05:00
differential-equations
direct-comparison-test-series
directly-proportional-and-inversely-proportional
discrete-and-continuous-data
distributive-property-explained
dividing-fractions
dividing-fractions-by-whole-numbers
dividing-polynomials-synthetic-division
division
domain-and-range-of-quadratic-functions
domain-and-range-of-rational-functions
dot-product
double-angle-formulas
e-constant Added the text "The domain of y=e^x..." (#20980) 2018-11-05 20:38:43 -05:00
e-eulers-number
eigenvalue
end-behavior-of-a-function
equal-less-and-greater-than-symbols
equation-of-a-line Added examples for slope and one point. Made easier to understand. (#21339) 2018-11-12 19:26:24 +09:00
equation-of-tangent-line
eulers-formula
even-and-odd-functions Fixed typos (#34312) 2018-11-13 12:52:54 +05:30
example-all-the-ways-you-can-flip-a-coin
example-of-subtracting-fractions-with-unlike-denominators
exponent-rules-intro
exponential-and-logarithmic-functions
exponential-functions-compound-interest
exponential-functions-introduction
exponential-growth-and-decay
exponential-growth-and-decay-word-problems
exponential-word-problems
exponents Added the exponent format (#21655) 2018-11-13 20:53:25 -05:00
exponents-basic-rules
factorial-function
factorials
factoring-in-algebra
factoring-polynomials-common-factor
factoring-quadratics
factoring-quadratics-the-simple-case
fibonacci-number
finding-a-percent
finding-an-angle-in-a-right-angled-triangle
finding-circumference-of-a-circle-when-given-the-area
finding-slope-from-graph Added the method of finding slope from a graph (#21597) 2018-11-15 07:27:33 -06:00
finding-the-inverse-of-a-function
finding-the-minimum-and-maximum-of-a-function
fourier-series
fractional-exponents
fractions
function-notation-definitions-and-evaluating-at-a-number
function-transformations
functions
functions-domain-and-range
gamma-function
geometric-sequences-and-sums
geometric-series Introduced Geometric progression (#21517) 2018-11-10 21:35:24 +00:00
geometric-series-with-sigma-notation
geometry
golden-ratio Unique property of the inverse of the golden ratio (#20110) 2018-11-03 20:18:31 -04:00
gram-schmidt-process
graph-of-y-equals-sin-x
graphing-a-linear-equation
graphing-basic-logarithmic-functions
graphing-linear-inequalities
graphing-quadratic-functions-the-leading-coefficient-the-vertex
graphing-rational-functions-introduction
graphing-trigonometric-functions
graphs-of-sine-cosine-and-tangent
graphs-of-trigonometric-functions
greatest-common-factor Added content to stub (#34377) 2018-11-20 13:59:32 +08:00
half-angle-formulas
hexadecimal-number-system Hex addition (#20950) 2018-11-17 16:39:40 -05:00
hexagon
histograms
horizontal-asymptotes
how-to-add-and-subtract-with-powers
how-to-calculate-the-margin-of-error-for-a-sample-proportion
how-to-calculate-the-mean-value
how-to-determine-a-p-value-when-testing-a-null-hypothesis
how-to-divide-exponents
how-to-factor-a-polynomial-expression
how-to-find-probabilities-for-z-with-the-z-table
how-to-find-the-limit-of-a-function-algebraically
how-to-find-the-median-value
how-to-interpret-a-correlation-coefficient-r
how-to-multiply-matrices
how-to-use-the-t-table-to-solve-statistics-problems
how-to-use-the-z-table
how-to-work-with-30-60-90-degree-triangles
identifying-the-45-45-90-degree-triangle
imaginary-numbers
implicit-differentiation
improper-fractions
indefinite-integral-of-1-over-x
inductive-and-deductive-reasoning
infinite-geometric-series
integral
integration-by-parts
integration-rules Added some physical calculus rules (#22317) 2018-11-20 07:45:34 -06:00
intercepts-from-an-equation
interior-angles-of-polygons
intermediate-value-theorem Added content to stub (#34393) 2018-11-20 13:47:26 +08:00
interquartile-range-iqr
intervals
intro-to-absolute-value-equations-and-graphs
intro-to-absolute-value-inequalities
intro-to-arcsine
intro-to-composing-functions
intro-to-graphing-two-variable-inequalities
intro-to-inverse-functions
intro-to-linear-equation-standard-form
intro-to-logarithm-properties
intro-to-logarithms Add another useful link for beginners (#22183) 2018-11-19 16:34:01 -05:00
intro-to-long-division-of-polynomials
intro-to-matrices
intro-to-matrix-multiplication
intro-to-partial-fraction-expansion
intro-to-point-slope-form
intro-to-polynomial-synthetic-division
intro-to-rational-and-irrational-numbers
intro-to-slope-intercept-form
intro-to-the-binomial-theorem
intro-to-the-trigonometric-ratios
introduction-to-derivatives
introduction-to-eigenvalues-and-eigenvectors
introduction-to-logarithms
introduction-to-partial-derivatives
introduction-to-trigonometric-substitution
inverse-functions
inverse-of-a-matrix-using-minors-cofactors-and-adjugate
inverse-sine-cosine-tangent
inverse-tangent
inverting-a-3-by-3-matrix-using-determinants
irrational-numbers Fix errors and expanded content (#34213) 2018-11-06 22:18:25 -05:00
isosceles-triangle
laplace-transform
law-of-cosines
law-of-sines
laws-of-exponents
least-common-denominator
least-common-multiple
lhopitals-rule
limits-and-continuity
limits-intro
linear-algebra
linear-equations
linear-equations-and-functions
local-linearity
logarithmic-equations-variable-in-the-argument
logarithms-introduction-to-the-relationship
long-division
long-polynomial-division
maclaurin-series
matrix-inverse
matrix-inversion-finding-the-inverse-of-a-matrix
mean-absolute-deviation-mad
mean-median-mode-and-range
mean-value-theorem
metric-units-of-length-review-mm-cm-m-and-km
mixed-fractions
more-trig-sub-practice
multiplication-times-tables
multiplying-decimals-example
multiplying-fractions
multiplying-matrices
negative-exponents
normal-distribution
number-bases-introduction-and-binary-numbers
number-theory
operations-on-functions
optimization-box-volume
order-of-operations-pemdas
partial-derivatives-introduction
partial-fraction-decomposition-general-techniques
pascals-triangle
pearsons-chi-square-test
percent-of-a-whole-number
percentage-change
percentage-difference
percentage-error
perimeter Add Content (#23448) 2018-11-05 02:13:56 -05:00
perimeter-area-and-volume
permutation-formula Adding Permutations (#20912) 2018-11-03 19:10:24 -07:00
pi Pi not being infinite (#21118) 2018-11-05 15:43:02 -05:00
point-slope-equation-of-a-line
polar-and-cartesian-coordinates
polar-coordinates
polygons
polynomial-graphs-end-behavior
polynomials-long-division
prime-factorization
prime-number-list
prime-numbers
probability
product-rule-intro
proof-of-finite-arithmetic-series-formula-by-induction
properties-of-rhombuses-rectangles-and-squares
propositional-logic
proving-trigonometric-identities
pyramids
pythagorean-theorem Elaboration of unknown side cases on Pythagoras Theorem (#22373) 2018-11-21 08:52:03 -06:00
pythagorean-triples
quadratic-equation-solver
quadratic-equations
quadrilaterals-square-rectangle-rhombus-trapezoid-parallelogram
quartiles
radians
radians-to-degrees
radicals-introduction-and-simplification
radicals-rationalizing-the-denominator
radius-diameter-circumference
rational-numbers
ratios
reading-box-plots
real-numbers
reciprocal Fix typo (#34223) 2018-11-06 21:50:34 -05:00
related-rates-falling-ladder
relations
relative-frequency
rewriting-improper-fractions-as-mixed-numbers
rewriting-tricky-fractions-to-decimals
rhombus
roman-numerals Added the definition & explanatory sheet (#22186) 2018-11-17 04:17:39 -05:00
rounding-and-significant-digits
rules-of-significant-figures
scalar-and-matrix-multiplication
scientific-notation
scientific-notation-examples
sectors-areas-and-arcs
set-builder-notation
sigma-notation Adding content to article (#21484) 2018-11-10 08:47:01 -06:00
significant-figures
simplify-fractions
simplifying-exponent-expressions
simplifying-expressions
simplifying-radicals
simplifying-square-roots Equation symbol changes and formatting changes (#22049) 2018-11-17 20:53:17 -07:00
simpsons-rule
sine-cosine-tangent
slant-oblique-asymptotes
slope-formula
sohcahtoa
sohcahtoa-sine-cosine-tangent
solving-a-system-of-3-equations-and-4-variables-using-matrix-row-echelon-form
solving-absolute-value-equations
solving-exponential-equations-from-the-definition
solving-exponential-equations-using-logarithms-base-2
solving-for-a-side-with-the-law-of-cosines
solving-for-a-side-with-the-law-of-sines
solving-inequalities
solving-linear-equations-one-step-equations
solving-log-equations-from-the-definition
solving-log-equations-with-exponentials
solving-quadratic-equations-by-factoring
solving-quadratics-by-factoring
solving-sas-triangles
solving-systems-of-equations-by-elimination
solving-triangles
span
special-factoring-differences-of-squares
special-factoring-sums-and-differences-of-cubes-and-perfect-squares
special-right-triangles-intro
sphere
spherical-coordinates
squares-and-square-roots
standard-deviation
standard-deviation-and-variance
standard-deviation-formulas
standard-form
standard-normal-distribution-table
statistics
straight-line-equations-point-slope-form
straight-line-equations-slope-intercept-form
subtracting-fractions Add content to stub (#34235) 2018-11-06 11:39:12 -05:00
subtracting-fractions-with-unlike-denominators
sum-of-the-first-n-terms-of-a-series
summation-notation-for-sums
supplementary-angles
surface-area-of-a-cone
surface-area-of-a-pyramid
surface-area-of-a-sphere
synthetic-division
systems-of-equations-with-substitution
systems-of-linear-equations-definitions
systems-of-linear-equations-solving-by-addition-or-elimination
systems-of-linear-equations-solving-by-substitution
table-of-factors-and-multiples
taylor-and-maclaurin-polynomials-intro
the-binomial-theorem-formulas
the-change-of-base-formula
the-common-and-natural-logarithms
the-distance-formula Updated mathematical definition of distance (#22027) 2018-11-17 20:36:56 -07:00
the-law-of-cosines
the-law-of-sines
the-midpoint-formula
the-quadratic-formula-explained
the-slope-of-a-straight-line
the-unit-circle
the-unit-circle-definition-of-sine-cosine-and-tangent
the-vertex-of-a-parabola
triangle
trigonometric-functions
trigonometric-identities
trigonometry
u-substitution-indefinite-integrals
understanding-square-roots
understanding-the-quadratic-formula
unit-circle
us-standard-volume
using-the-cosine-double-angle-identity
vector-intro-for-linear-algebra
vectors fixed typographic error (#22648) 2018-11-20 18:36:41 -05:00
venn-diagrams
vertical-angles
vertical-asymptotes
volume-of-a-cone
volume-of-a-sphere
what-a-p-value-tells-you-about-statistical-data
what-is-a-function
what-is-the-domain-of-a-function
what-is-the-range-of-a-function
whole-numbers-and-integers
worked-example-converting-a-fraction-to-a-decimal
worked-example-domain-and-range-from-graph
worked-example-graphing-piecewise-functions
worked-example-interval-of-convergence
worked-example-order-of-operations-pemdas
worked-example-slope-from-two-points
working-with-exponents-and-logarithms
x-and-y-intercepts
index.md