MATH 616 Download Page

• Textbook:

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

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• Suggestion Box

• Course Syllabus (size: 151K) revised version posted 10/18/21
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• Writing Assignment (size: 104K)
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• References

Failure of Radioactive Waste Tanks

Flipping a Coin Deterministically

Web-Based Tool for Plotting Phase Planes

Mathematica Notebook with Useful Commands (size: 17K)

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• Handouts

Review (size: 315K) revised version posted 12/6/21	2-D Discrete Systems (size: 223K)
Single-Species Evolution Equations (size: 189K) revised version posted 9/10/21	Nicholson-Bailey Model (size: 197K)
The Phase Plane (size: 462K)	Beddington Model (size: 293K) revised version posted 10/14/21
The Hopf Bifurcation (size: 294K)	The Stefan Problem (size: 261K)
Action-Angle Coordinates (size: 715K) revised version posted 9/20/21	Traveling Waves (size: 190K)
Liapunov Functions (size: 1.9M) revised version posted 9/24/21	Fisher’s Equation (size: 403K)
Hamiltonian Systems (size: 4M)	Linear 1st Order Equations (size: 166K)
Conservative Systems (size: 697K)	Quasilinear Equations (size: 210K)
Predator-Prey Systems (size: 363K)	Envelopes (size: 228K)
Epidemics (size: 193K)	Shocks (size: 284K) revised version posted 11/5/21
Logistic Map (size: 167K)	Conservation of Momentum (size: 230K)
Algebraic Discrete Model (size: 171K)	Bifurcations (size: 438K)
Exponential Discrete Model (size: 177K) revised version posted 10/6/21	Variational Principles (size: 214K)

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• Homework Sets

Homework Set 1 (size: 141K) revised version posted 9/14/21, Solution Set (size: 145K)

Dimensional analysis and scaling (sections 1.1, 1.2).

Homework Set 2 (size: 119K), Solution Set (size: 502K)

Single-species population dynamics, the phase plane (sections 1.3–2.3).

Homework Set 3 (size: 351K), Solution Set (size: 1.9M)

Advanced phase-plane techniques (sections 2.3, 2.4).

Homework Set 4 (size: 144K) revised version posted 10/5/21, Solution Set (size: 248K)

Predator-prey models, epidemics (sections 2.3, 2.6).

Homework Set 5 (size: 130K) revised version posted 10/7/21, Solution Set (size: 163K)

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

Homework Set 6 (size: 140K) revised version posted 11/2/21, Solution Set (size: 186K)

The diffusion equation, the Stefan problem, traveling waves, spatial epidemics, linear first-order PDEs (sections 6.2.1, 6.2.3, 6.2.4, 7.1, 7.2.2).

Homework Set 7 (size: 164K), Solution Set (size: 398K)

First-order PDEs (sections 7.1–7.3).

Homework Set 8 (size: 108K) revised version posted 11/16/21, Solution Set (size: 147K)

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

Homework Set 9 (size: 185K), Solution Set (size: 196K)

Conservation of momentum, bifurcations, variational principles (sections 1.3.2, 4.1, 4.2.2–4.4, 4.6, 8.4).

Supplemental Study Material (size: 117K), Solution Set (size: 116K)

Volterra equations (sections 5.4–5.4.1).

Return to the syllabi download page.