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Fairness_versus_Reason_in_the_Ultimatum_Game.pdf
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NEJM article on 1918 influenza.pdf
R_May_76_Nature_Chaos.pdf
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1979_Anderson_R_and_May_R_Population_Biology_of_Infectious_Diseases_Part_II_Nature_280.pdf
1979_Anderson_R_and_May_R_Population_Biology_of_Infectious_Diseases_Part_I_Nature_280.pdf
2003_Hofbauer_J_and_Sigmund_K_Evolutionary_Game_Dynamics_Am_Math_Soc_40.pdf
2004_Evolutionary_Dynamics_of_Biological_Games_Science_303.pdf
2004_May_R_Uses_and_Abuses_of_Mathematics_in_Biology_Science_303.pdf
2004_Michor_F_Iwasa_Y_and_Nowak_M_Dynamics_of_Cancer_Progression_Nature_Reviews_Cancer_4.pdf
2005_Imhof_L_Fudenberg_D_and_Nowak_M_Evolutionary_Cycles_of_Cooperation_and_Defection_PNAS_31.pdf
2005_Lieberman_E_Hauert_C_and_Nowak_N_Evolutionary_dynamics_on_graphs_Nature_433.pdf
2005_Michor_N_etal_Dynamics_of_Chronic_Myeloid_Lukaemia_Nature_435.pdf
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spring2011-final-cognac-glass-region.pdf
spring2011-final-second-order-graph-matching-choice1.pdf
spring2011-final-second-order-graph-matching-choice2.pdf
spring2011-final-second-order-graph-matching-choice3.pdf
spring2011-final-second-order-graph-matching-choice4.pdf
spring2011-final-second-order-graph-matching-choice5.pdf
spring2011-final-second-order-graph-matching-choice6.pdf
spring2011-final-system-matching-same-direction-1.pdf
spring2011-final-system-matching-same-direction-2.pdf
spring2011-final-system-matching-same-direction-3.pdf
spring2011-final-system-matching-same-direction-4.pdf
spring2011-final-system-matching-same-shape-1.pdf
spring2011-final-system-matching-same-shape-2.pdf
spring2011-final-system-matching-same-shape-3.pdf
spring2011-final-system-matching-same-shape-4.pdf
t-axes.pdf
tP-axes.pdf
think-of-system-1.pdf
verify-series-solution-1-sketch.pdf
verify-series-solution-1-slope-field.pdf
volume-cos-loop-slice2.pdf
volume-cos-loop.pdf
volume-horizontal-slices-1-slices.pdf
volume-horizontal-slices-2.pdf
handouts
09_ Work
images
work-cylindrical-tank-1-coord.pdf
work-cylindrical-tank-1-sliced.pdf
work-prunella-axis.pdf
11_ Improper Integrals_ Continued
12_ Taylor Approximation
images
taylor-approx-handout-deg1.pdf
13_ Taylor Approximation_ Continued
15_ Definition of Convergence
images
partial-sum-diagram-ex1.pdf
partial-sum-diagram-ex2.pdf
16_ Nth Term Test_ Comparison Test
images
comparison-test-partial-sums-1.pdf
comparison-test-partial-sums-2.pdf
geometric-half-convergence.pdf
partial-sum-diagram-ex1.pdf
19_ Asymptotics
21_ Power Series
images
interval-possibilities-1.pdf
interval-possibilities-2.pdf
interval-possibilities-3.pdf
interval-possibilities-4.pdf
psr-handout-1-mult.pdf
psr-handout-1-sub.pdf
psr-handout-1.pdf
30_ x__ _ bx_ _ cx = 0_ Euler_s Formula
images
complex-numbers-complex-plane.pdf
complex-numbers-imaginary-axis.pdf
complex-numbers-real-axis.pdf
complex-plane-1-polar.pdf
32_ Introduction to Systems of Differential Equations
integration-quiz
images
spring2011-quiz-hslices.pdf
spring2011-quiz-region.pdf
spring2011-quiz-vslices.pdf
volumes-practice-1-hslices.pdf
volumes-practice-1-region.pdf
volumes-practice-1-vslices-approx.pdf
volumes-practice-1-vslices.pdf
volumes-practice-2-hslices.pdf
volumes-practice-2-region.pdf
volumes-practice-3-Q.pdf
volumes-practice-3-R.pdf
volumes-practice-3-left-vslices.pdf
volumes-practice-3-right-vslices.pdf
techniques.pdf
techniques_answers.pdf
volumes-practice-sols.pdf
volumes-practice.pdf
lesson plans part I
01
images
area-3curves-3-hslice.pdf
area-3curves-3-region.pdf
area-3curves-3-vslice.pdf
area-arctan-1.pdf
area-arctan-2-slice.pdf
area-arctan-2.pdf
area-both-ways-1-hslice-approx-rect.pdf
area-both-ways-1-hslice.pdf
area-both-ways-1-vslice-approx-rect.pdf
area-both-ways-1-vslice.pdf
area-both-ways-1.pdf
area-horizontal-1-slice.pdf
area-horizontal-1.pdf
area-ln-horizontal-approximating-rectangle.pdf
area-ln-horizontal-slice.pdf
area-ln-horizontal.pdf
area-trisect-general-sliced.pdf
area-trisect-general.pdf
area-trisect.pdf
area0-slice-approximate-points.pdf
area0-slice-approximate.pdf
area0-slice.pdf
area0.pdf
bagel1.pdf
bagel2-slice.pdf
cobalt-circle-1-sliced.pdf
cobalt-circle-2-quarter.pdf
cobalt-circle-2-slice.pdf
cobalt-circle-2.pdf
cobalt-rectangular-1-sliced.pdf
cobalt-rectangular-1.pdf
cobalt-rectangular-2-sliced.pdf
cobalt-rectangular-2.pdf
cobalt-rectangular-3-slice.pdf
cobalt-rectangular-3.pdf
density-circle-chord-1-right-slice.pdf
density-circle-chord-1.pdf
density-circle-chord-2-coord.pdf
density-circle-chord-2-forest.pdf
density-concentric-rings-1-1.pdf
density-concentric-rings-1-2.pdf
density-concentric-rings-1-slice.pdf
density-rectangle-1-density.pdf
density-rectangle-1-kth-slice.pdf
density-rectangle-1-slices.pdf
density-rectangle-1.pdf
density-triangle-vegetation-kth-slice.pdf
density-triangle-vegetation-sliced.pdf
density-triangle-vegetation.pdf
hermione-garden-quarter-circle-one-slice-approx.pdf
hermione-garden-quarter-circle-one-slice.pdf
hermione-garden-quarter-circle-picture.pdf
hermione-garden-quarter-circle-sliced.pdf
parfait-cup-region.pdf
parfait-cup-slice.pdf
photo-ink-density-pic.pdf
photo-ink-density-slice.pdf
pizza-pythagoras-approximating-rectangle.pdf
pizza-pythagoras-region.pdf
pizza-pythagoras-slice.pdf
punch-bowl-region-sliced.pdf
punch-bowl-region.pdf
punch-bowl-sketch.pdf
riemann-sums-graph.pdf
riemann-sums1.pdf
riemann-sums2.pdf
riemann-sums3.pdf
riemann-sums4.pdf
volume-bell-hslice-labeled.pdf
volume-bell-region.pdf
volume-bell-solid.pdf
volume-bell-vslice1.pdf
volume-bell-vslice2.pdf
volume-bell-vslices.pdf
volume-both-directions-1-hslice.pdf
volume-both-directions-1-region.pdf
volume-both-directions-1-vslice.pdf
volume-cross-sections-1-base-slice.pdf
volume-cross-sections-1-solid-slice.pdf
volume-cross-sections-1.pdf
volume-horizontal-slices-3-region.pdf
volume-horizontal-slices-3-slice-labeled.pdf
volume-horizontal-slices-3-slice.pdf
volume-ln-horizontal-region.pdf
volume-ln-horizontal-slices1-labeled.pdf
volume-ln-horizontal-slices2-unlabeled.pdf
volume-ln-horizontal-slices2.pdf
volume-of-conical-frustum-region-slice.pdf
volume-of-conical-frustum-region.pdf
volume-of-conical-frustum.pdf
volume-of-general-cone-region.pdf
volume-of-general-cone-vslice.pdf
volume-sine-loop-1.pdf
volume-sine-loop-2.pdf
volume-sine-loop-3.pdf
volume-sine-loop-slice.pdf
volume-sine-loop-slice2.pdf
volume-sine-loop.pdf
02
images
area-of-ellipse.pdf
trig-sub-1-graphical.pdf
volume-arcsin-parts-hslice.pdf
volume-arcsin-parts-region.pdf
03
images
ball-of-ice-long-version-xk.pdf
density-baikal-slice.pdf
density-baikal.pdf
density-candle.pdf
density-cone-1-cross-section.pdf
density-cone-1-slice.pdf
density-cone-1.pdf
density-muffin-1.pdf
density-muffin-2.pdf
density-muffin-bottom-slice.pdf
density-muffin-bottom.pdf
density-muffin-top.pdf
fall2004-midterm1-2-region-sliced.pdf
fall2004-midterm1-2-sliced.pdf
fall2004-midterm1-2.pdf
improper-e^-x.pdf
improper-explore-minus-infty-to-infty-def-x.pdf
improper-explore-minus-infty-to-infty-def-x_3.pdf
improper-general-convergence-1a.pdf
improper-general-convergence-1b.pdf
improper-integral-paper-example.pdf
improper-integrals-comparison-1-1.pdf
improper-integrals-comparison-1-2.pdf
improper-integrals-comparison-1-3.pdf
lybonrehc-slice.pdf
lybonrehc.pdf
sewage-pipe-slice.pdf
sewage-pipe.pdf
spring2003-midterm1-3-cross-section.pdf
spring2003-midterm1-3-sliced.pdf
spring2010-midterm1-5-with-cable.pdf
work-cable-1-sliced.pdf
work-cable-1.pdf
work-chain-1-sliced.pdf
work-chain-1.pdf
work-garden-fountain-region.pdf
work-garden-fountain-sliced.pdf
work-tank-cone-1-region.pdf
work-tank-cone-1-sliced.pdf
04
images
1-4-1.pdf
1-4-2.pdf
1-4-3.pdf
1-4-4.pdf
improper-R-odd-1.pdf
improper-general-convergence-limit-bound.pdf
improper-general-convergence-limit.pdf
taylor-poly-e^x-table1.pdf
taylor-poly-e^x-table2.pdf
taylor-poly-for-ln-deg-15.pdf
taylor-poly-for-ln-deg-3.pdf
taylor-poly-for-ln-table-at-1.pdf
taylor-poly-for-ln-table-at-2.pdf
taylor-poly-for-ln-table-at-minus-half.pdf
taylor-poly-for-ln-table-at-minus1.pdf
taylor-poly-for-ln-table4.pdf
taylor-poly-for-sine-deg-131.pdf
taylor-poly-for-sine-deg-133.pdf
taylor-poly-for-sine-deg-135.pdf
taylor-poly-for-sine-deg-137.pdf
05
images
alternating-harmonic.pdf
convergence-def-1.pdf
convergence-def-3.pdf
geometric-half-convergence.pdf
harmonic-grouping-diagram.pdf
info-from-partial-sum-diagram.pdf
partial-sum-diagram-2.pdf
partial-sum-diagram-3.pdf
partial-sum-diagram1.pdf
partial-sum-diagram2.pdf
partial-sum-diagram3.pdf
partial-sum-diagram4.pdf
partial-sum-diagram5.pdf
06
images
bound-tail-using-integral-100.pdf
bound-tail-using-integral-2.pdf
bound-tail-using-integral-n.pdf
geometric-power-series-1-base.pdf
geometric-power-series-1.pdf
geometric-power-series-2-base.pdf
geometric-power-series-2.pdf
harmonic-dividing-line.pdf
koch-snowflake-0.pdf
koch-snowflake-1.pdf
koch-snowflake-2.pdf
koch-snowflake-3.pdf
koch-snowflake-4.pdf
koch-snowflake-5.pdf
koch-snowflake-motif.pdf
p-series-lower.pdf
p-series-p=1.pdf
p-series-p=2.pdf
p-series-upper.pdf
series-compare-with-integral-both-directions-left-boxes.pdf
series-compare-with-integral-both-directions-no-boxes.pdf
series-compare-with-integral-both-directions-right-boxes.pdf
lesson plans part II
07
images
arctan-power-series-endpoints.pdf
interval-of-convergence-reasoning-1-biggest.pdf
interval-of-convergence-reasoning-1-smallest.pdf
manipulate-geometric-rep-1-eqn1.pdf
manipulate-geometric-rep-1-eqn2.pdf
radius-interval-practice-4-ratio-test.pdf
radius-interval-practice-4.pdf
08
images
draw-slope-fields-1.pdf
draw-slope-fields-2.pdf
draw-slope-fields-3.pdf
draw-slope-fields-4.pdf
draw-slope-fields-5-sols.pdf
draw-slope-fields-5.pdf
martha-stewart-eggnog-3.pdf
martha-stewart-eggnog-nonconstant-amount.pdf
martha-stewart-eggnog.pdf
martha-stewart-slope-fields-1.pdf
martha-stewart-slope-fields-2.pdf
martha-stewart-slope-fields-3.pdf
martha-stewart-slope-fields-4.pdf
moneybags-compound-annually-continuous.pdf
moneybags-compound-annually.pdf
power-series-pictures-1-1.pdf
power-series-pictures-1-2.pdf
power-series-pictures-1-3.pdf
power-series-pictures-1-4.pdf
power-series-pictures-1-5.pdf
power-series-pictures-1-6.pdf
power-series-pictures-1-7.pdf
power-series-pictures-1-8.pdf
power-series-pictures-1-9.pdf
slope-field-one-param-1.pdf
slope-field-one-param-2.pdf
slope-field-one-param-3.pdf
slope-field-one-param-4.pdf
slope-field-one-param-f.pdf
slope-fields-match-1-1.pdf
slope-fields-match-1-2-solutions.pdf
slope-fields-match-1-2.pdf
slope-fields-match-1-3.pdf
slope-fields-match-1-4.pdf
slope-fields-match-1-5.pdf
slope-fields-match-1-6.pdf
slope-fields-match-1-7.pdf
slope-fields-match-1-8.pdf
09
images
autonomous-model-otter-pop-diagram.pdf
autonomous-model-otter-pop.pdf
autonomous-model-tortoise-pop-diagram.pdf
autonomous-model-tortoise-pop.pdf
eulers-method-2-choice1.pdf
eulers-method-2-choice2.pdf
eulers-method-2-choice3.pdf
eulers-method-2.pdf
eulers-method-failure-1-qa.pdf
eulers-method-failure-1.pdf
eulers-method-slope-field-1-euler.pdf
eulers-method-slope-field-1-sf1.pdf
eulers-method-slope-field-1-sf2.pdf
eulers-method-slope-field-1-sf3.pdf
eulers-method-without-slope-field-1.pdf
logistic-solve-1-qa.pdf
logistic-solve-1-solution.pdf
logistic-with-predation-1-qa.pdf
paris-trust-fund-qa.pdf
qa-think-of-de-1-2.pdf
qa-think-of-de-1-3.pdf
qa1-1-sketch.pdf
qa1-1.pdf
qa1-2.pdf
qa1-3.pdf
qa1-4.pdf
qa1-5.pdf
qa1-6.pdf
qa1-7.pdf
qa1-8.pdf
qa2-sketch.pdf
qa2.pdf
qa3-sketch.pdf
qa3-slope-field.pdf
qa3.pdf
qa4-2-sketch.pdf
qa4-2.pdf
qa4-5-sketch.pdf
qa4-5.pdf
qa4-graphical-1-qa.pdf
qa4-graphical-1-sketch.pdf
qa4-graphical-1-v2.pdf
separable2-sf-1.pdf
separable2-sf-2.pdf
separable2-sf-3.pdf
separable2-sf-4.pdf
separable2-solution.pdf
slope-field-one-param-2-t-and-y.pdf
slope-field-one-param-2-t-only.pdf
slope-field-one-param-2-y-only.pdf
swedish-chef-constant-volume-qa.pdf
10
images
arctan-pi-euler-formula-angle1.pdf
complex-plane-1-polar.pdf
complex-plane-1.pdf
mass-spring-1.pdf
periodic-examples-not-periodic.pdf
periodic-examples-periodic1.pdf
periodic-examples-periodic2.pdf
second-order-graph-match-1.pdf
second-order-graph-match-2.pdf
second-order-graph-match-3.pdf
second-order-graph-match-4.pdf
second-order-graph-match-5.pdf
second-order-graph-match-6.pdf
spring-diagram.pdf
spring-door-1.pdf
11
images
bluegill-redear-B.pdf
bluegill-redear-analysis.pdf
bluegill-redear-possible-trajectories.pdf
bluegill-redear-sol.pdf
competition-2-sketch.pdf
epidemic1-sketch-step3.pdf
epidemic1-sketch2.pdf
epidemic1-trajectories.pdf
epidemic1-trajectory.pdf
lions-gazelles-basic-trajectories.pdf
lions-gazelles-qa.pdf
london-measles.pdf
match-nullclines-1-1.pdf
match-nullclines-1-2.pdf
match-nullclines-1-3.pdf
match-nullclines-1-4.pdf
measles-1.pdf
measles-2.pdf
measles-3.pdf
measles-4.pdf
measles-5.pdf
measles-analysis.pdf
measles-infected.pdf
measles-trajectory.pdf
parametric-plot-1-graphs1.pdf
parametric-plot-1-graphs2-labeled.pdf
parametric-plot-1-graphs2.pdf
parametric-plot-1-graphs3.pdf
parametric-plot-1-pplot1.pdf
parametric-plot-1-pplot2.pdf
parametric-plot-1-pplot3.pdf
phase-analysis-1-choice1.pdf
phase-analysis-1-choice2.pdf
phase-analysis-1-choice3.pdf
phase-analysis-1-choice4.pdf
phase-analysis-1-initial-condition-1.pdf
phase-analysis-1-initial-condition-2.pdf
phase-analysis-1-initial-condition-3.pdf
phase-analysis-1-initial-condition-4.pdf
phase-analysis-1-step1.pdf
phase-analysis-1-step2.pdf
phase-analysis-1-step3.pdf
phase-analysis-1-step4.pdf
phase-analysis-1-step5.pdf
phase-analysis-1-step6.pdf
phase-portrait-time-graphs-axes-first-quadrant.pdf
phase-sketch-fill-in-arrows-1-1-answer.pdf
phase-sketch-fill-in-arrows-1-1-colored.pdf
phase-sketch-fill-in-arrows-1-1.pdf
phase-sketch-fill-in-arrows-1-2-answer.pdf
phase-sketch-fill-in-arrows-1-2-colored.pdf
phase-sketch-fill-in-arrows-1-2.pdf
portwick-1.pdf
portwick-2.pdf
portwick-3.pdf
portwick-4.pdf
portwick-4a.pdf
portwick-5.pdf
portwick-5a.pdf
portwick-6.pdf
portwick-analysis.pdf
portwick-axis-trajectories.pdf
portwick-initial-condition-solve.pdf
portwick-initial-condition.pdf
portwick-logistic-1.pdf
portwick-logistic-2.pdf
portwick-logistic-3.pdf
portwick-logistic-4.pdf
portwick-logistic-4a.pdf
portwick-logistic-5.pdf
portwick-logistic-5a.pdf
portwick-logistic-6.pdf
portwick-logistic-axis-trajectories.pdf
portwick-logistic-worms.pdf
portwick-modify-trajectories.pdf
portwick-time-graphs.pdf
ps33-4-2.pdf
ps33-4-3.pdf
ps33-4-6-numbered.pdf
ps33-4-6-trajectories.pdf
ps33-4-6-trajectory3.pdf
romeo-juliet-axes.pdf
romeo-juliet-graphs-1.pdf
romeo-juliet-spiral-graphs.pdf
romeo-juliet-spiral-labeled.pdf
romeo-juliet-spiral.pdf
romeo-juliet-time-axes.pdf
romeo-juliet-trajectory-1.pdf
si-axes.pdf
source1-analysis.pdf
source1-phase-portrait.pdf
system-shape-1-analysis.pdf
system-shape-1-portrait.pdf
system-shape-2-analysis-step3.pdf
system-shape-2-analysis.pdf
system-shape-2-portrait.pdf
system-shape-2-sketch-x-and-y.pdf
system-shape-3-analysis.pdf
system-shape-3-phase-portrait.pdf
system-sol-matching-1-graph1.pdf
system-sol-matching-1-graph3.pdf
system-sol-matching-1-graph4.pdf
systems-same-dydx-sketch-1.pdf
systems-same-dydx-sketch-2.pdf
systems-same-dydx-sketch-3.pdf
systems-same-dydx-sketch-4.pdf
systems-same-dydx-time-graphs-1.pdf
systems-same-dydx-time-graphs-2.pdf
systems-same-dydx-time-graphs-3.pdf
systems-same-dydx-time-graphs-4.pdf
systems-same-dydx-time-graphs-5.pdf
systems-same-dydx-time-graphs-6.pdf
systems-same-dydx-time-graphs-7.pdf
systems-same-dydx-time-graphs-8.pdf
systems-same-dydx-trajectories-1.pdf
systems-same-dydx-trajectories-2.pdf
systems-same-dydx-trajectories-3.pdf
systems-same-dydx-trajectories-4.pdf
trajectory-vs-time-1-graphs.pdf
trajectory-vs-time-1-trajectory.pdf
midterm1
_auctex
images
area-arcsin-arccos-arccos-hslices.pdf
area-arcsin-arccos-arccos.pdf
area-arcsin-arccos-arcsin.pdf
area-bisect-2-horizontal-dividing.pdf
area-bisect-2-horizontal-slice.pdf
area-bisect-2-horizontal1.pdf
area-bisect-2-horizontal2.pdf
area-bisect-2-region.pdf
area-bisect-2-vertical.pdf
fall2003-midterm2-8-1.pdf
fall2003-midterm2-8-2-coord.pdf
fall2003-midterm2-8-2-sliced.pdf
fall2003-midterm2-8-2.pdf
fall2004-midterm1-5-picture.pdf
fall2004-midterm1-5-slice.pdf
fall2008-final-6-sliced.pdf
fall2008-final-6.pdf
fall2008-final-8.pdf
fall2008-final-8a-sliced.pdf
fall2008-midterm1-1a-region.pdf
fall2008-midterm1-1a-slice.pdf
fall2008-midterm1-1b-picture.pdf
fall2008-midterm1-1b-slice.pdf
fall2008-midterm1-5-region-hslice.pdf
fall2008-midterm1-5-region.pdf
glassmaker-square-sliced-coordinate.pdf
glassmaker-square-sliced-symmetry.pdf
glassmaker-square-sliced.pdf
jameel-champagne-flute-modified-region-sliced.pdf
jameel-champagne-flute-modified-region.pdf
shells1-slice.pdf
shells1.pdf
spring2000-midterm2-6-cross-section.pdf
spring2000-midterm2-6-pyramid-sliced.pdf
spring2000-midterm2-6-pyramid.pdf
spring2003-midterm1-1c-region-sliced.pdf
spring2003-midterm1-1c-region.pdf
spring2003-midterm1-2-modified-sliced.pdf
spring2004-final-1b-region-slice.pdf
spring2004-final-1b-region.pdf
spring2007-midterm1-2a-sliced.pdf
spring2007-midterm1-2a.pdf
spring2007-midterm1-2b-sliced.pdf
spring2007-midterm1-2b.pdf
spring2011-midterm1-1.pdf
spring2011-midterm1-snow-density-circle.pdf
spring2011-midterm1-snow-density-triangle-region-sliced.pdf
spring2011-midterm1-snow-density-triangle-region.pdf
spring2011-midterm1-volume-1-region.pdf
spring2011-midterm1-volume-1-sliced.pdf
spring2011-midterm1-volume-2-sliced.pdf
spring2011-midterm1-volume-2.pdf
spring2011-midterm1-work-region.pdf
spring2011-midterm1-work-sliced.pdf
volume-of-spherical-cap-region-sliced.pdf
volume-of-spherical-cap-region.pdf
volume-of-spherical-cap.pdf
work-tank-1-region-sliced.pdf
work-tank-1-region.pdf
midterm2
_auctex
images
radius-interval-practice-2.pdf
spring2007-midterm2-2b-biggest.pdf
spring2007-midterm2-2b-smallest.pdf
spring2009-midterm2-3-modified-sketch.pdf
spring2011-midterm2-function-defined-by-power-series-ratio-test.pdf
spring2011-midterm2-power-series-match-1-1.pdf
spring2011-midterm2-power-series-match-1-2.pdf
spring2011-midterm2-power-series-match-1-3.pdf
spring2011-midterm2-power-series-match-1-4.pdf
spring2011-midterm2-taylor-poly-coeffs.pdf
taylor-poly-graphical-choice-1.pdf
taylor-poly-graphical-choice-2.pdf
taylor-poly-graphical-choice-3.pdf
taylor-poly-graphical-choice-4.pdf
taylor-poly-graphical.pdf
Homework
differential eqns hw
24_ Differential Equations
25_ Slope Fields
images
slope-fields-match-1-1.pdf
slope-fields-match-1-2-solutions.pdf
slope-fields-match-1-2.pdf
slope-fields-match-1-3.pdf
slope-fields-match-1-4.pdf
slope-fields-match-1-5.pdf
slope-fields-match-1-6.pdf
slope-fields-match-1-7.pdf
slope-fields-match-1-8.pdf
26_ Autonomous First-Order Differential Equations
images
autonomous-model-otter-pop-diagram.pdf
autonomous-model-otter-pop.pdf
autonomous-model-tortoise-pop-diagram.pdf
autonomous-model-tortoise-pop.pdf
qa-think-of-de-1-2.pdf
qa-think-of-de-1-3.pdf
qa4-2-sketch.pdf
qa4-2.pdf
qa4-5-sketch.pdf
qa4-5.pdf
qa4-graphical-1-qa.pdf
qa4-graphical-1-sketch.pdf
qa4-graphical-1-v2.pdf
27_ Some Methods for Solving Differential Equations
images
separable2-sf-1.pdf
separable2-sf-2.pdf
separable2-sf-3.pdf
separable2-sf-4.pdf
separable2-solution.pdf
28_ Other Ways of Looking at Differential Equations
images
eulers-method-2-choice1.pdf
eulers-method-2-choice2.pdf
eulers-method-2-choice3.pdf
eulers-method-2.pdf
29_ Second-Order Homogeneous Differential Equations with Constant Coefficients
images
mass-spring-1.pdf
spring-diagram.pdf
30_ x__ _ bx_ _ cx = 0_ Euler_s Formula
images
arctan-pi-euler-formula-angle1.pdf
spring-door-1.pdf
31_ x__ _ bx_ _ cx = 0_ Concluded
images
periodic-examples-not-periodic.pdf
periodic-examples-periodic1.pdf
periodic-examples-periodic2.pdf
second-order-graph-match-1.pdf
second-order-graph-match-2.pdf
second-order-graph-match-3.pdf
second-order-graph-match-4.pdf
second-order-graph-match-5.pdf
second-order-graph-match-6.pdf
32_ Introduction to Systems of Differential Equations
images
parametric-plot-1-graphs1.pdf
parametric-plot-1-graphs2-labeled.pdf
parametric-plot-1-graphs2.pdf
parametric-plot-1-graphs3.pdf
parametric-plot-1-pplot1.pdf
parametric-plot-1-pplot2.pdf
parametric-plot-1-pplot3.pdf
system-sol-matching-1-graph1.pdf
system-sol-matching-1-graph3.pdf
system-sol-matching-1-graph4.pdf
trajectory-vs-time-1-graphs.pdf
trajectory-vs-time-1-trajectory.pdf
33_ Phase Plane Analysis
images
competition-2-sketch.pdf
match-nullclines-1-1.pdf
match-nullclines-1-2.pdf
match-nullclines-1-3.pdf
match-nullclines-1-4.pdf
phase-analysis-1-choice1.pdf
phase-analysis-1-choice2.pdf
phase-analysis-1-choice3.pdf
phase-analysis-1-choice4.pdf
phase-analysis-1-step1.pdf
phase-analysis-1-step2.pdf
phase-analysis-1-step3.pdf
phase-analysis-1-step4.pdf
phase-analysis-1-step5.pdf
phase-analysis-1-step6.pdf
ps33-4-2.pdf
ps33-4-3.pdf
ps33-4-6-numbered.pdf
ps33-4-6-trajectories.pdf
ps33-4-6-trajectory3.pdf
34_ Systems and Shapes of Trajectories
images
bluegill-redear-B.pdf
bluegill-redear-analysis.pdf
bluegill-redear-possible-trajectories.pdf
bluegill-redear-sol.pdf
source1-analysis.pdf
source1-phase-portrait.pdf
system-shape-3-analysis.pdf
system-shape-3-phase-portrait.pdf
35_ Systems Wrap-Up
homework pdf
PS00.pdf
PS01.pdf
PS02.pdf
PS03.pdf
PS04.pdf
PS05.pdf
PS06.pdf
PS08.pdf
PS09.pdf
PS10.pdf
PS11.pdf
PS12.pdf
PS13.pdf
PS14.pdf
PS15.pdf
PS16.pdf
PS17.pdf
PS18.pdf
PS19.pdf
PS20.pdf
PS21.pdf
PS22.pdf
PS23.pdf
PS24.pdf
PS25.pdf
PS26.pdf
PS27.pdf
PS28.pdf
PS29.pdf
PS30.pdf
PS31.pdf
PS32.pdf
PS33.pdf
PS34.pdf
PS35.pdf
weekly.pdf
integration homework
00_ Warm-Up
images
graphs-write-equations-1.pdf
graphs-write-equations-2.pdf
graphs-write-equations-3.pdf
graphs-write-equations-4.pdf
integration-graphical-1-compare.pdf
integration-graphical-1.pdf
integration-graphical-2-1.pdf
integration-graphical-2-2.pdf
integration-graphical-abs.pdf
integration-graphical-arcsin-symmetry.pdf
integration-graphical-arctan-from-0-to-1-compare-triangle.pdf
integration-graphical-arctan-from-0-to-1.pdf
integration-graphical-stretch-1.pdf
integration-graphical-stretch-2.pdf
integration-graphical-translate-pic1.pdf
integration-graphical-translate-pic2.pdf
linear-approximation-ln.pdf
linear-approximation-sqrt.pdf
01_ Density and Approximation
images
area0-slice-approximate-points.pdf
area0-slice-approximate.pdf
area0-slice.pdf
area0.pdf
hermione-garden-quarter-circle-one-slice-approx.pdf
hermione-garden-quarter-circle-one-slice.pdf
hermione-garden-quarter-circle-picture.pdf
hermione-garden-quarter-circle-sliced.pdf
photo-ink-density-pic.pdf
photo-ink-density-slice.pdf
pizza-pythagoras-approximating-rectangle.pdf
pizza-pythagoras-region.pdf
pizza-pythagoras-slice.pdf
02_ Density and the Definite Integral
images
cobalt-circle-1-sliced.pdf
cobalt-circle-2-quarter.pdf
cobalt-circle-2-slice.pdf
cobalt-circle-2.pdf
cobalt-rectangular-1-sliced.pdf
cobalt-rectangular-1.pdf
cobalt-rectangular-2-sliced.pdf
cobalt-rectangular-2.pdf
03_ Area and Volume
images
area-arctan-1.pdf
area-arctan-2-slice.pdf
area-arctan-2.pdf
area-both-ways-1-hslice-approx-rect.pdf
area-both-ways-1-hslice.pdf
area-both-ways-1-vslice-approx-rect.pdf
area-both-ways-1-vslice.pdf
area-both-ways-1.pdf
area-horizontal-1-slice.pdf
area-horizontal-1.pdf
volume-cross-sections-1-base-slice.pdf
volume-cross-sections-1-solid-slice.pdf
volume-cross-sections-1.pdf
04_ Volumes of Revolution
images
parfait-cup-region.pdf
parfait-cup-slice.pdf
volume-both-directions-1-hslice.pdf
volume-both-directions-1-region.pdf
volume-both-directions-1-vslice.pdf
volume-horizontal-slices-3-region.pdf
volume-horizontal-slices-3-slice-labeled.pdf
volume-horizontal-slices-3-slice.pdf
05_ Integration by Substitution
images
area-of-ellipse.pdf
06_ Integration by Parts
08_ 3-dimensional Density Problems
images
ball-of-ice-long-version-xk.pdf
fall2004-midterm1-2-region-sliced.pdf
fall2004-midterm1-2-sliced.pdf
fall2004-midterm1-2.pdf
lybonrehc-slice.pdf
lybonrehc.pdf
09_ Work
images
work-cable-1-sliced.pdf
work-cable-1.pdf
work-tank-cone-1-region.pdf
work-tank-cone-1-sliced.pdf
10_ Improper Integrals
images
improper-e^-x.pdf
improper-explore-minus-infty-to-infty-def-x.pdf
improper-explore-minus-infty-to-infty-def-x_3.pdf
improper-general-convergence-1a.pdf
improper-general-convergence-1b.pdf
11_ Improper Integrals_ Continued
series homework
12_ Taylor Approximation
images
13_ Taylor Approximation_ Continued
images
taylor-poly-e^x-table1.pdf
taylor-poly-e^x-table2.pdf
taylor-poly-for-ln-deg-15.pdf
taylor-poly-for-ln-deg-3.pdf
taylor-poly-for-ln-table-at-1.pdf
taylor-poly-for-ln-table-at-2.pdf
taylor-poly-for-ln-table-at-minus-half.pdf
taylor-poly-for-ln-table-at-minus1.pdf
taylor-poly-for-ln-table4.pdf
taylor-poly-for-sine-deg-131.pdf
taylor-poly-for-sine-deg-133.pdf
taylor-poly-for-sine-deg-135.pdf
taylor-poly-for-sine-deg-137.pdf
14_ Taylor Series
15_ Definition of Convergence
images
alternating-harmonic.pdf
convergence-def-1.pdf
convergence-def-3.pdf
partial-sum-diagram-2.pdf
partial-sum-diagram1.pdf
partial-sum-diagram2.pdf
partial-sum-diagram3.pdf
partial-sum-diagram4.pdf
partial-sum-diagram5.pdf
16_ Nth Term Test_ Comparison Test
17_ Geometric Series
images
geometric-power-series-2-base.pdf
geometric-power-series-2.pdf
18_ p-series_ Comparing Series to Integrals
images
harmonic-dividing-line.pdf
series-compare-with-integral-both-directions-left-boxes.pdf
series-compare-with-integral-both-directions-no-boxes.pdf
series-compare-with-integral-both-directions-right-boxes.pdf
19_ Asymptotics
20_ Ratio Test
21_ Power Series
images
interval-of-convergence-reasoning-1-biggest.pdf
interval-of-convergence-reasoning-1-smallest.pdf
22_ Power Series Representations of Functions
images
arctan-power-series-endpoints.pdf
23_ More Series Problems
images
power-series-pictures-1-1.pdf
power-series-pictures-1-2.pdf
power-series-pictures-1-3.pdf
power-series-pictures-1-4.pdf
power-series-pictures-1-5.pdf
power-series-pictures-1-6.pdf
power-series-pictures-1-7.pdf
power-series-pictures-1-8.pdf
power-series-pictures-1-9.pdf
weekly
images
1-4-1.pdf
1-4-2.pdf
1-4-3.pdf
1-4-4.pdf
area-trisect-general-sliced.pdf
area-trisect-general.pdf
area-trisect.pdf
bound-tail-using-integral-100.pdf
bound-tail-using-integral-2.pdf
bound-tail-using-integral-n.pdf
cobalt-rectangular-3-slice.pdf
cobalt-rectangular-3.pdf
density-baikal-slice.pdf
density-baikal.pdf
density-circle-chord-1-right-slice.pdf
density-circle-chord-1.pdf
density-circle-chord-2-coord.pdf
density-circle-chord-2-forest.pdf
epidemic1-trajectories.pdf
eulers-method-failure-1-qa.pdf
eulers-method-failure-1.pdf
logistic-solve-1-qa.pdf
logistic-solve-1-solution.pdf
logistic-with-predation-1-qa.pdf
paris-trust-fund-qa.pdf
phase-sketch-fill-in-arrows-1-1-answer.pdf
phase-sketch-fill-in-arrows-1-1-colored.pdf
phase-sketch-fill-in-arrows-1-1.pdf
phase-sketch-fill-in-arrows-1-2-answer.pdf
phase-sketch-fill-in-arrows-1-2-colored.pdf
phase-sketch-fill-in-arrows-1-2.pdf
punch-bowl-region-sliced.pdf
punch-bowl-region.pdf
punch-bowl-sketch.pdf
riemann-sums-graph.pdf
riemann-sums1.pdf
riemann-sums2.pdf
riemann-sums3.pdf
riemann-sums4.pdf
sewage-pipe-slice.pdf
sewage-pipe.pdf
si-axes.pdf
slope-field-one-param-1.pdf
slope-field-one-param-2.pdf
slope-field-one-param-3.pdf
slope-field-one-param-4.pdf
slope-field-one-param-f.pdf
spring2010-midterm1-5-with-cable.pdf
swedish-chef-constant-volume-qa.pdf
systems-same-dydx-sketch-1.pdf
systems-same-dydx-sketch-2.pdf
systems-same-dydx-sketch-3.pdf
systems-same-dydx-sketch-4.pdf
systems-same-dydx-time-graphs-1.pdf
systems-same-dydx-time-graphs-2.pdf
systems-same-dydx-time-graphs-3.pdf
systems-same-dydx-time-graphs-4.pdf
systems-same-dydx-time-graphs-5.pdf
systems-same-dydx-time-graphs-6.pdf
systems-same-dydx-time-graphs-7.pdf
systems-same-dydx-time-graphs-8.pdf
systems-same-dydx-trajectories-1.pdf
systems-same-dydx-trajectories-2.pdf
systems-same-dydx-trajectories-3.pdf
systems-same-dydx-trajectories-4.pdf
volume-arcsin-parts-hslice.pdf
volume-arcsin-parts-region.pdf
volume-of-conical-frustum-region-slice.pdf
volume-of-conical-frustum-region.pdf
volume-of-conical-frustum.pdf
volume-of-general-cone-region.pdf
volume-of-general-cone-vslice.pdf
work-garden-fountain-region.pdf
work-garden-fountain-sliced.pdf
Textbook
chapter18.pdf
chapter24.pdf
chapter25.pdf
chapter27.pdf
chapter28.pdf
chapter29.pdf
chapter30.pdf
chapter31.pdf
whole_book.pdf
Worksheets
problem-session
week01
images
area-horizontal-2-curve.pdf
area-horizontal-2-region.pdf
area-horizontal-2-slice.pdf
area-split.pdf
density-triangle-vegetation-kth-slice.pdf
density-triangle-vegetation-sliced.pdf
density-triangle-vegetation.pdf
find-point-on-parabola.pdf
glassmaker-square-sliced.pdf
spring2010-midterm1-4-picture.pdf
spring2010-midterm1-4-slice.pdf
tlachihualtepetl-cross-section.pdf
tlachihualtepetl-slice.pdf
tlachihualtepetl.pdf
week01.pdf
week02
images
density-circle-tangent-1-coord.pdf
density-circle-tangent-1-slice.pdf
density-circle-tangent-1.pdf
fall2009-midterm1-volume1-sliced.pdf
fall2009-midterm1-volume1.pdf
spring2009-ps3-1-vslice.pdf
spring2010-final-2-sliced.pdf
week03
images
fall2009-midterm1-volume2-sliced.pdf
spring2007-final-1-cross-section.pdf
spring2007-final-1-sliced.pdf
spring2010-midterm1-3c-regions.pdf
work-spherical-tank-1-coordinates.pdf
work-spherical-tank-1-cross-section.pdf
work-spherical-tank-1-sliced.pdf
work-spherical-tank-1.pdf
week04
images
fall2008-midterm1-4-region.pdf
fall2008-midterm1-4-sliced.pdf
spring2010-midterm1-1-relation.pdf
spring2010-midterm1-1-sliced.pdf
spring2010-midterm1-1-variable.pdf
spring2010-midterm1-2b.pdf
week05
images
fall2009-final-6-sliced.pdf
lowell-house-bells-region-sliced.pdf
lowell-house-bells-region.pdf
spring2010-final-1-sliced.pdf
week06
week07
week08
images
radius-interval-practice-1-ratio-test.pdf
radius-interval-practice-1.pdf
week09
images
geometric-power-series-1.pdf
spring2010-midterm2-taylor-poly-coeffs.pdf
week10
images
separable1-sf-1.pdf
separable1-sf-2.pdf
separable1-sf-3.pdf
separable1-sf-4.pdf
separable1-solution-curves.pdf
spring2010-final-5-part2-qa.pdf
week11
images
autonomous-de-pick-graph-1-choice1.pdf
autonomous-de-pick-graph-1-choice2.pdf
autonomous-de-pick-graph-1-choice3.pdf
autonomous-de-pick-graph-1-choice4.pdf
autonomous-de-pick-graph-1-qa.pdf
fall2009-final-second-order-graph-matching-choice1.pdf
fall2009-final-second-order-graph-matching-choice2.pdf
fall2009-final-second-order-graph-matching-choice3.pdf
fall2009-final-second-order-graph-matching-choice4.pdf
fall2009-final-second-order-graph-matching-choice5.pdf
fall2009-final-second-order-graph-matching-choice6.pdf
fall2009-final-slope-field-matching-choice1.pdf
fall2009-final-slope-field-matching-choice2.pdf
fall2009-final-slope-field-matching-choice3.pdf
fall2009-final-slope-field-matching-choice4.pdf
fishing-developer-graph1.pdf
fishing-developer-graph2.pdf
fishing-developer-graph3.pdf
fishing-developer-graph4.pdf
fishing-developer-qa1.pdf
fishing-developer-qa2.pdf
fishing-developer-qa3.pdf
fishing-developer-qa4.pdf
spring-position.pdf
spring2010-final-9-part2.pdf
tx-axes-with-t-ticks-to-8.pdf
week12
images
inconsistent-1-sketch1-problem.pdf
inconsistent-1-sketch1.pdf
inconsistent-1-sketch2.pdf
inconsistent-1-sketch3-problem.pdf
inconsistent-1-sketch3.pdf
inconsistent-1-sketch4.pdf
phase-portrait-time-graphs-axes-first-quadrant.pdf
phase-portrait-time-graphs-axes.pdf
phase-portrait-time-graphs-g.pdf
phase-portrait-time-graphs-trajectories1.pdf
phase-portrait-time-graphs-trajectories2.pdf
phase-portraits-set1-7.pdf
predator-prey-logistic-predator-exponential-prey-ic1-trajectory.pdf
predator-prey-logistic-predator-exponential-prey-ic1.pdf
predator-prey-logistic-predator-exponential-prey-ic2-trajectory1.pdf
predator-prey-logistic-predator-exponential-prey-ic2-trajectory2.pdf
predator-prey-logistic-predator-exponential-prey-step2.pdf
predator-prey-logistic-predator-exponential-prey-step3.pdf
predator-prey-logistic-predator-exponential-prey-step4.pdf
predator-prey-logistic-predator-exponential-prey-step5.pdf
predator-prey-logistic-predator-exponential-prey-step6.pdf
spring2010-final-phase-portrait-match-1.pdf
spring2010-final-phase-portrait-match-2.pdf
spring2010-final-phase-portrait-match-3.pdf
spring2010-final-phase-portrait-match-4.pdf
spring2010-final-phase-portrait-match-5.pdf
spring2010-final-phase-portrait-match-6.pdf
spring2010-final-phase-portrait-match-pp1.pdf
projects
00AdministrativeStuff
01AreainPolarCoordinates
02ArcLengthofParameterizedCurves
03PlayingAroundwithStatistics
04CreditCardDebt
05ModelingMortgages
06Powerseriessolutionsofdifferentialequations
images
blanchard-devaney-hall-series-solutions.pdf
07Pendulums
images
pendulum-diagram.pdf
pendulum-with-friction-and-forcing-graph.pdf
08Selachiansandfoodfish
images
braun441.pdf
braun442a.pdf
braun442b.pdf
braun443.pdf
sharks-food-fish-intersection-with-line.pdf
sharks-food-fish-ppa.pdf
09Solvinglinearsystemsofdifferentialequations
worksheets
01_ Density and Approximation
images
density-rectangle-1-density.pdf
density-rectangle-1-kth-slice.pdf
density-rectangle-1-slices.pdf
density-rectangle-1.pdf
02_ Density and the Definite Integral
images
density-concentric-rings-1-1.pdf
density-concentric-rings-1-2.pdf
density-concentric-rings-1-slice.pdf
density-triangle-vegetation-kth-slice.pdf
density-triangle-vegetation-sliced.pdf
density-triangle-vegetation.pdf
03_ Area and Volume
images
area-3curves-3-hslice.pdf
area-3curves-3-region.pdf
area-3curves-3-vslice.pdf
area-ln-horizontal-approximating-rectangle.pdf
area-ln-horizontal-slice.pdf
area-ln-horizontal.pdf
volume-bell-hslice-labeled.pdf
volume-bell-region.pdf
volume-bell-solid.pdf
volume-bell-vslice1.pdf
volume-bell-vslice2.pdf
volume-bell-vslices.pdf
04_ Volumes of Revolution
images
bagel1.pdf
bagel2-slice.pdf
volume-ln-horizontal-region.pdf
volume-ln-horizontal-slices1-labeled.pdf
volume-ln-horizontal-slices2-unlabeled.pdf
volume-ln-horizontal-slices2.pdf
volume-sine-loop-1.pdf
volume-sine-loop-2.pdf
volume-sine-loop-3.pdf
volume-sine-loop-slice.pdf
volume-sine-loop-slice2.pdf
volume-sine-loop.pdf
05_ Integration by Substitution
images
trig-sub-1-graphical.pdf
06_ Integration by Parts
07_ Integration Techniques
08_ 3-dimensional Density Problems
images
density-candle.pdf
density-cone-1-cross-section.pdf
density-cone-1-slice.pdf
density-cone-1.pdf
density-muffin-1.pdf
density-muffin-2.pdf
density-muffin-bottom-slice.pdf
density-muffin-bottom.pdf
density-muffin-top.pdf
09_ Work
images
spring2003-midterm1-3-cross-section.pdf
spring2003-midterm1-3-sliced.pdf
work-chain-1-sliced.pdf
work-chain-1.pdf
10_ Improper Integrals
images
improper-integrals-comparison-1-1.pdf
improper-integrals-comparison-1-2.pdf
improper-integrals-comparison-1-3.pdf
11_ Improper Integrals_ Continued
images
improper-R-odd-1.pdf
improper-general-convergence-limit-bound.pdf
improper-general-convergence-limit.pdf
13_ Taylor Approximation_ Continued
14_ Taylor Series
15_ Definition of Convergence
images
geometric-half-convergence.pdf
info-from-partial-sum-diagram.pdf
partial-sum-diagram-3.pdf
16_ Nth Term Test_ Comparison Test
images
harmonic-grouping-diagram.pdf
17_ Geometric Series
images
geometric-power-series-1-base.pdf
geometric-power-series-1.pdf
koch-snowflake-0.pdf
koch-snowflake-1.pdf
koch-snowflake-2.pdf
koch-snowflake-3.pdf
koch-snowflake-4.pdf
koch-snowflake-5.pdf
koch-snowflake-motif.pdf
18_ p-series_ Comparing Series to Integrals
images
p-series-lower.pdf
p-series-p=1.pdf
p-series-p=2.pdf
p-series-upper.pdf
19_ Asymptotics
20_ Ratio Test
21_ Power Series
images
manipulate-geometric-rep-1-eqn1.pdf
manipulate-geometric-rep-1-eqn2.pdf
radius-interval-practice-4-ratio-test.pdf
radius-interval-practice-4.pdf
22_ Power Series Representations of Functions
23_ More Series Problems
24_ Differential Equations
images
moneybags-compound-annually-continuous.pdf
moneybags-compound-annually.pdf
25_ Slope Fields
images
draw-slope-fields-1.pdf
draw-slope-fields-2.pdf
draw-slope-fields-3.pdf
draw-slope-fields-4.pdf
draw-slope-fields-5-sols.pdf
draw-slope-fields-5.pdf
martha-stewart-eggnog-3.pdf
martha-stewart-eggnog-nonconstant-amount.pdf
martha-stewart-eggnog.pdf
martha-stewart-slope-fields-1.pdf
martha-stewart-slope-fields-2.pdf
martha-stewart-slope-fields-3.pdf
martha-stewart-slope-fields-4.pdf
26_ Autonomous First-Order Differential Equations
images
qa1-1-sketch.pdf
qa1-1.pdf
qa1-2.pdf
qa1-3.pdf
qa1-4.pdf
qa1-5.pdf
qa1-6.pdf
qa1-7.pdf
qa1-8.pdf
qa2-sketch.pdf
qa2.pdf
qa3-sketch.pdf
qa3-slope-field.pdf
qa3.pdf
slope-field-one-param-2-t-and-y.pdf
slope-field-one-param-2-t-only.pdf
slope-field-one-param-2-y-only.pdf
27_ Some Methods for Solving Differential Equations
images
28_ Other Ways of Looking at Differential Equations
images
eulers-method-slope-field-1-euler.pdf
eulers-method-slope-field-1-sf1.pdf
eulers-method-slope-field-1-sf2.pdf
eulers-method-slope-field-1-sf3.pdf
eulers-method-without-slope-field-1.pdf
29_ Second-Order Homogeneous Differential Equations with Constant Coefficients
30_ x__ _ bx_ _ cx = 0_ Euler_s Formula
images
complex-plane-1-polar.pdf
complex-plane-1.pdf
31_ x__ _ bx_ _ cx = 0_ Concluded
32_ Introduction to Systems of Differential Equations
images
lions-gazelles-basic-trajectories.pdf
lions-gazelles-qa.pdf
romeo-juliet-axes.pdf
romeo-juliet-graphs-1.pdf
romeo-juliet-spiral-graphs.pdf
romeo-juliet-spiral-labeled.pdf
romeo-juliet-spiral.pdf
romeo-juliet-time-axes.pdf
romeo-juliet-trajectory-1.pdf
33_ Phase Plane Analysis
images
phase-portrait-time-graphs-axes-first-quadrant.pdf
portwick-1.pdf
portwick-2.pdf
portwick-3.pdf
portwick-4.pdf
portwick-4a.pdf
portwick-5.pdf
portwick-5a.pdf
portwick-6.pdf
portwick-axis-trajectories.pdf
portwick-logistic-1.pdf
portwick-logistic-2.pdf
portwick-logistic-3.pdf
portwick-logistic-4.pdf
portwick-logistic-4a.pdf
portwick-logistic-5.pdf
portwick-logistic-5a.pdf
portwick-logistic-6.pdf
portwick-logistic-axis-trajectories.pdf
portwick-logistic-worms.pdf
portwick-modify-trajectories.pdf
portwick-time-graphs.pdf
34_ Systems and Shapes of Trajectories
images
phase-analysis-1-initial-condition-1.pdf
phase-analysis-1-initial-condition-2.pdf
phase-analysis-1-initial-condition-3.pdf
phase-analysis-1-initial-condition-4.pdf
portwick-analysis.pdf
portwick-initial-condition-solve.pdf
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rational
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rose
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23a_fall_98
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Exams
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Homework
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25a_fall_01
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