MATH 616 Download Page

• Textbook:

Logan, J. David. Applied Mathematics, 4th ed. New York: Wiley, 2013.

• Suggestion Box

• Course Syllabus (size: 146K) revised 9/1/23
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• Writing Assignment (size: 102K) revised 9/1/23
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• Outline Assignment (size: 80K)
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• References

Failure of Radioactive Waste Tanks

Phase Plane Plotting:

Kevbase Web-Based Tool (Cartesian and Polar)

Geogebra Web-Based Tool

Mathematica Notebook (with other useful commands (size: 17K)

Flipping a Coin Deterministically

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• Handouts

Review (size: 315K) Single-Species Evolution Equations (size: 195K) Bifurcations (size: 441K) The Phase Plane (size: 470K)	Exponential Discrete Model Handout (size: 148K)
The Hopf Bifurcation (size: 300K) Action-Angle Coordinates (size: 725K) Hamiltonian Systems (size: 2.4M) Conservative Systems (size: 702K) Liapunov Functions (size: 1.8M)	2-D Discrete Systems Handout (size: 232K) Movie with Real Eigenvalues (size: 289K) Movie with Stable Oscillations (size: 221K) Movie with Unstable Oscillations (size: 414K) Movie with 4-Cycle (size: 311K)
Lotka-Volterra Model (size: 282K) Other Predator-Prey Models (size: 211K) Epidemics (size: 212K) revised 10/4/23	Nicholson-Bailey Model Handout (size: 203K) Movie with Origin Stable (size: 258K) Movie with Oscillations (size: 465K)
Traveling Waves (size: 193K) Movie (size: 533K) Fisher’s Equation (size: 406K)	Beddington Model Handout (size: 328K) revised 10/23/23 Movie with Carrying Capacity Stable (size: 309K) Movie with Coexistence Stable (size: 333K) Movie with Oscillations (size: 296K)
Logistic Map Handout (size: 144K)	The Stefan Problem (size: 269K) Movie (size: 423K) Linear 1st Order Equations (size: 171K) revised 10/30/23 Quasilinear Equations (size: 212K) Envelopes (size: 231K)
Algebraic Discrete Model Handout (size: 214K) revised 10/18/23	Shocks (size: 244K) Movie (size: 1M) Conservation of Momentum (size: 233K) The Navier-Stokes Equations (size: 172K) Singularly Perturbed ODEs (size: 144K)

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• Homework Sets

Homework Set 1 (size: 160K) revised 9/5/23, Solution Set (size: 181K)

Dimensional analysis and scaling (sections 1.1, 1.2).

Homework Set 2 (size: 148K), Solution Set (size: 192K)

Single-species population dynamics, bifurcations (section 1.3).

Homework Set 3 (size: 137K) revised 9/22/23, Solution Set (size: 349K)

The phase plane (section 2.1-2.4).

Homework Set 4 (size: 116K), Solution Set (size: 2.1M)

Advanced phase-plane techniques, predator-prey models (section 2.3).

Homework Set 5 (size: 139K) revised 10/12/23, Solution Set (size: 145K)

Predator-prey models, epidemics (sections 2.3, 2.6.3).

Homework Set 6 (size: 138K) revised 10/17/23, Solution Set (size: 149K)

The diffusion equation, traveling waves, Fisher’s equation, spatial epidemics (sections 6.2.1, 6.2.3, 7.2.2).

Homework Set 7 (size: 139K) revised 10/31/23, Solution Set (size: 185K) revised 12/13/23

Discrete modeling in 1- and 2-D, the Stefan problem (sections 9.1, 9.2).

Homework Set 8 (size: 122K), Solution Set (size: 341K)

First-order PDEs (sections 7.1–7.3).

Homework Set 9 (size: 115K), Solution Set (size: 172K)

Shocks, the wave equation, conservation of mass (sections 7.1–7.4.2, 8.1).

Homework Set 10 (size: 166K), Solution Set (size: 179K)

Conservation of momentum, unidirectional flows, Volterra equations (sections 5.4-5.4.1, 8.4).

Supplemental Study Material (size: 145K) revised 12/6/23, Solution Set (size: 149K) revised 12/13/23

Perturbation methods (sections 3.1-3.3).

Return to the syllabi download page.