PDF MATH DOCUMENTS “ The great book of nature can be read only by those who know the language in which it was written. And this language is mathematics.”  - Galileo Galilei (1564 - 1642) Basic Math A Proof of Pythagoras Theorem http://pacificcoast.net/~cazelais/173/pythagoras.pdf   Basic graphs http://pacificcoast.net/~cazelais/173/basic-graphs.pdf   Geometry formulas http://pacificcoast.net/~cazelais/173/geometry_formulas.pdf   Graph of y=asin(bx+c) http://pacificcoast.net/~cazelais/173/graphs_of_sines.pdf   Inscribed angle in a circle http://pacificcoast.net/~cazelais/173/inscribed_angle.pdf   Interior angles in a triangle http://pacificcoast.net/~cazelais/173/triangle_angles.pdf   Inverse trig functions http://pacificcoast.net/~cazelais/173/inv_trig.pdf   Linear combination of Sine and Cosine http://pacificcoast.net/~cazelais/252/lc-trig.pdf   Polar graphs http://pacificcoast.net/~cazelais/187/polar.pdf   Proof of Law of Sines and Law of Cosines http://pacificcoast.net/~cazelais/173/law-sines-cosines.pdf   Proof of sum and difference identities http://pacificcoast.net/~cazelais/173/idns-proof.pdf   Trigonometric formulas http://pacificcoast.net/~cazelais/260/trig.pdf   Unit circle http://pacificcoast.net/~cazelais/173/unit-circle.pdf   Unit circle trigonometry http://pacificcoast.net/~cazelais/175/trig2.pdf Calculus Single Variable Calculus Area between curves http://pacificcoast.net/~cazelais/187/area_between_curves.pdf   Basic introduction to Calculus (~260 kB) http://cazelais.disted.camosun.bc.ca/115/calculus.pdf   Centroids http://pacificcoast.net/~cazelais/187/centroids.pdf   Convergence of series http://pacificcoast.net/~cazelais/250a/series.pdf   Curve sketching examples http://pacificcoast.net/~cazelais/174b/curve_sketching.pdf   Derivatives formulas http://pacificcoast.net/~cazelais/260/derivatives.pdf   Fundamental Theorem of Calculus http://pacificcoast.net/~cazelais/260/ftc.pdf   Harmonic series http://pacificcoast.net/~cazelais/250a/harmonic.pdf   Indeterminate forms of limits http://pacificcoast.net/~cazelais/260/limits.pdf   Integration formulas http://pacificcoast.net/~cazelais/175/integral.pdf   Integration by parts http://pacificcoast.net/~cazelais/187/parts.pdf   Integration problems (with answers) http://pacificcoast.net/~cazelais/260/int-prob.pdf   Inverse trig functions http://pacificcoast.net/~cazelais/260/inverse-trig.pdf   Linear approximations http://pacificcoast.net/~cazelais/174b/linear_approx.pdf   Maclaurin series http://pacificcoast.net/~cazelais/260/maclaurin.pdf   Maclaurin series of sin x http://pacificcoast.net/~cazelais/187/maclaurin-sin.pdf   Newton's method http://pacificcoast.net/~cazelais/174b/newton.pdf   Partial fractions http://pacificcoast.net/~cazelais/260/partial_fractions.pdf   Perimeter of an ellipse http://pacificcoast.net/~cazelais/250a/ellipse-length.pdf   Simpson's rule http://pacificcoast.net/~cazelais/187/simpson.pdf      Substitution method http://pacificcoast.net/~cazelais/187/substitution.pdf     Tabular method examples http://pacificcoast.net/~cazelais/187/tabular.pdf     The trapezoidal rule http://pacificcoast.net/~cazelais/187/trapezoidal_rule.pdf     Three equivalent definitions of e http://cazelais.disted.camosun.bc.ca/250/e-definition.pdf     A proof that e is irrational http://cazelais.disted.camosun.bc.ca/250/e-irrational.pdf     A proof that pi is irrational http://pacificcoast.net/~cazelais/250a/pi-irrational.pdf     Dirichlet's test of convergence http://cazelais.disted.camosun.bc.ca/250/dirichlet.pdf   Multivariable Calculus Coordinate systems http://pacificcoast.net/~cazelais/260/coordinates.pdf   Double integrals http://pacificcoast.net/~cazelais/187/double-int.pdf   Double integrals in polar coordinates http://pacificcoast.net/~cazelais/260/int-polar.pdf   Integral of exp(-x2) http://pacificcoast.net/~cazelais/260/lord-kelvin.pdf   Second derivative test http://pacificcoast.net/~cazelais/260/2nd-deriv-test.pdf   Space curves with MATLAB http://pacificcoast.net/~cazelais/260/parametric-plot.pdf     Surface plots with MATLAB http://pacificcoast.net/~cazelais/260/surface-plot.pdf     Surface plots examples http://pacificcoast.net/~cazelais/187/surface-plots   Differential Equations Constant coefficients and Cauchy-Euler equations http://pacificcoast.net/~cazelais/262/cauchy-euler.pdf   Direction Fields http://cazelais.disted.camosun.bc.ca/262/direction_field.pdf   First order equations http://pacificcoast.net/~cazelais/252/ode1storder.pdf   Laplace transforms book (~309 kB) http://cazelais.disted.camosun.bc.ca/175/laplace-book.pdf   Method of Undetermined Coefficients http://pacificcoast.net/~cazelais/262/muc.pdf   Table of Laplace transforms http://pacificcoast.net/~cazelais/252/laplace.pdf   Introduction to the phase plane (~146 kB) http://cazelais.disted.camosun.bc.ca/262/phaseplane.pdf Discrete Mathematics Basic set operations http://pacificcoast.net/~cazelais/222/sets.pdf   Big-O examples http://pacificcoast.net/~cazelais/222/big-o.pdf   Binomial theorem http://pacificcoast.net/~cazelais/222/binomial.pdf   Block stacking problem http://pacificcoast.net/~cazelais/222/block_problem.pdf   Chinese remainder theorem http://pacificcoast.net/~cazelais/222/chinese_rem.pdf   Counting problems http://pacificcoast.net/~cazelais/222/counting.pdf   Dijkstra's algorithm example http://pacificcoast.net/~cazelais/222/dijkstra.pdf   Euclid's algorithm http://pacificcoast.net/~cazelais/222/euclid.pdf   Extended Euclid's algorithm http://pacificcoast.net/~cazelais/222/xeuclid.pdf   Fibonacci sequence and the golden ratio  http://pacificcoast.net/~cazelais/222/fib-limit.pdf   Linear congruence http://pacificcoast.net/~cazelais/222/linear_congruence.pdf   Logical equivalences http://pacificcoast.net/~cazelais/222/logic.pdf   Logical implications http://pacificcoast.net/~cazelais/222/implications.pdf   Logical simplifications http://pacificcoast.net/~cazelais/222/logic-simp.pdf   Methods of proof examples http://pacificcoast.net/~cazelais/222/proofs.pdf   Prim's algorithm example http://pacificcoast.net/~cazelais/222/prim.pdf   RSA cryptography http://pacificcoast.net/~cazelais/222/rsa.pdf   RSA example http://pacificcoast.net/~cazelais/222/rsa-example.pdf   Solving recurrence relations http://pacificcoast.net/~cazelais/222/rec.pdf   Sieve of Eratosthenes (~147 kB) http://pacificcoast.net/~cazelais/222/sieve.pdf   Twelve coins problem http://pacificcoast.net/~cazelais/222/twelve_coins.pdf   Zero power zero http://pacificcoast.net/~cazelais/222/zero-to-zero.pdf Linear Algebra Balancing chemical equations http://pacificcoast.net/~cazelais/261/chemical-eqns.pdf   Distance between two lines http://pacificcoast.net/~cazelais/261/distance.pdf   Review of Eigenvalues and Eigenvectors http://pacificcoast.net/~cazelais/261/eigen-review.pdf   Solution of a linear system http://pacificcoast.net/~cazelais/261/system.pdf Probability and Statistics Basics of Probability http://cazelais.disted.camosun.bc.ca/264/prob_basics.pdf   Birthday problem http://cazelais.disted.camosun.bc.ca/264/birthday.pdf   Collector's problem http://pacificcoast.net/~cazelais/264/collector.pdf   Chi-Square table http://cazelais.disted.camosun.bc.ca/264/chi-square-table.pdf   Chi-Square Distribution http://cazelais.disted.camosun.bc.ca/264/chi-square.pdf   Descriptive Stats example http://cazelais.disted.camosun.bc.ca/264/descriptive_stats.pdf   Discrete Random Variables http://cazelais.disted.camosun.bc.ca/264/discrete_rv.pdf   Estimation of Parameters http://cazelais.disted.camosun.bc.ca/264/ep.pdf   Hypotheses tests http://cazelais.disted.camosun.bc.ca/264/ht.pdf   Large sample estimation of parameters http://cazelais.disted.camosun.bc.ca/264/large-sample-ep.pdf   Large sample Tests of Hypotheses http://cazelais.disted.camosun.bc.ca/264/large-sample-ht.pdf   Normal distribution table http://cazelais.disted.camosun.bc.ca/264/normal_table.pdf   Poker hands http://cazelais.disted.camosun.bc.ca/264/poker.pdf   Regression Analysis http://cazelais.disted.camosun.bc.ca/264/regression.pdf   Rolling dice http://pacificcoast.net/~cazelais/264/dice.pdf   Sampling_distributions http://cazelais.disted.camosun.bc.ca/264/sampling_distribution.pdf   Small sample inference http://cazelais.disted.camosun.bc.ca/264/small-sample-inf.pdf   t-Distribution table http://cazelais.disted.camosun.bc.ca/264/t-table.pdf