Math 302

Math 302 Schedule (subject to change)

Date	Sections	Lecture Slides	Notes	Homework	Other readings or software	Videos
8/29(R)	1.1, 1.2	Lecture 1	Lecture 1	Homework 1 (due September 6) 1.1(1,2,4,5,7,11,12,17,18) 1.2(6,8,12,13,17,27,31,33,39,41) 1.3(3,5,7,8,12,14,15,21,22)	Differential Equations Newton's law of gravitation Thomas Malthus An essay on the principle of population Logistic function
9/3(T)	1.2, 1.3	Lecture 2	Lecture 2		https://www.desmos.com/ http://slopefield.nathangrigg.net/ https://www.desmos.com/calculator/p7vd3cdmei
9/5(R)	1.4, 1.5 Homework 1	Lecture3	Lecture 3		Matlab programs: dfield8b.m Euler method Euler method(logistic) Slope field Slope field(logistic) Direction field
9/10(T)	1.6, Quiz 1	Lecture4	Lecture 4	Homework 2 (due September 20) 1.4(1,2,5,6,11)1.5(11,12,13,16) 1.6(2,6,8,14,18,20,29,31,33,35,39) 1.7(1,3,11,15,19) 1.8(1,3,7,13,18,21,29) 1.9(1,4,9,10,15,21,25,27)	MIT Phase line Catastrophic shifts in ecosystems alternative stable states oyster model bifurcation diagram
9/12(R)	1.7	Lecture5	Lecture 5		saddle-node bifurcation transcritical bifurcation pitchfork bifurcation	Mathematical model of a fishery Bifurcation diagram
9/17(T)	1.7, 1.8, 1.9	Lecture6	Lecture 6		Wolfram Alpha
9/19(R)	1.9, 2.1 Homework 2	Lecture7	Lecture 7
9/24(T)	2.1, 2.2 Quiz 2	Lecture8	Lecture 8	Homework 3 (due October 4) 2.1(2,3,4,7a,9,16a,20,22) 2.2(8,9,11,12,13,21) 2.3(1) 2.4(5,7,9)2.7(1,7) 3.1(5,9,17,25,27), 3.2(1,3,7,11,17) 3.3(1,3,5,9,19,23,27)	Matlab program pplane pplane plotter OST plotter phase plane
9/26(R)	2.3, 2.4, 2.7	Lecture9	Lecture 9		Mass-spring simulation Matlab programs: predator-prey (cycle) predator-prey (with carrying capacity) SIR
10/1(T)	3.1,3.2	Lecture10	Lecture 10
10/3(R)	3.3 Homework 3	Lecture11	Lecture 11	Algebra and Calc I-II formulas an even shorter list
10/8(T)	Exam 1			practice test 1 Exam 1 Fall 2016
10/10(R)	3.4,3.5	Lecture12	Lecture 12	Homework 4 (due October 18) 3.4(1,5,7,11,13,15,24) 3.5(1,3,5,7,17,19,21a) math major
10/15(T)	Fall break

Date	Sections	Lecture Slides	Notes	Homework	Other readings or software	Videos
10/17(R)	Homework 4	Lecture13	Lecture 13	Test 1 makeup problems	MIT linear phase plane MIT linear phase plane 2
10/22(T)	3.7, 3.6	Lecture14	Lecture 14		MIT damped vibrations
10/24(R)	4.1, Quiz 3	Lecture15	Lecture 15	Homework 5 (due November 1) 3.7(2,6,11) 3.6(3,9,11,15,17,23,25,35,38,39) 4.1(1,5,7,11,15,19,23,25,33,39) 4.2 (1,5,11,15,17,19) 4.3(1,5,7,9,13,15,17,21,23)	MIT forced damped vibrations Amplitude and Phase: Second Order I Amplitude and Phase: Second Order II
10/29(T)	4.2	Lecture16	Lecture 16	practice test 2 Fall 2016 exam 2	Matlab program beats1 beats2 resonance Beats
10/31(R)	4.3 Homework 5	Lecture17	Lecture 17		Harmonic Frequency Response: Variable Natural Frequency Harmonic Frequency Response: Variable Input Frequency	Tacoma bridge Resonan Bridge Millennium Bridge in London Wine glass resonance in slow motion
11/5(T)	5.1, 5.2	Lecture18	Lecture 18	Homework 6 (due November 20) 5.1(3,7,11,15,18,22,25) 5.2(1,5,9,13,19) 5.3 (1,3,9,11,13) 5.4(1,3,5,7)
11/7(R)	Exam 2
11/12(T)	5.1, 5.2	Lecture19	Lecture 19	Test 2 makeup problems	Competitive exclusion The struggle of Existence Lotka-Volterra competition model Lotka-Volterra competition model Rosenzweig-MacArthur model
11/14(R)	5.3, 5.4 periodic orbits	Lecture20 more ODEs	Lecture 20	Sample lab report	Pendulum simulation Trapping zone Matlab predator-prey (with limit cycle)
11/19(T)	5.3-5.4, 6.1, Homework 6				new solution to 3-body problem N-body choreographies more Moore's gallery
11/21(R)	6.1-6.2, Quiz 4	Lecture21	Lecture 21	Homework 7 (due December 6) 6.1 (3,9,13,15,19,23) 6.2 (1,5,9,11,15) 6.3 (3,7,11,13,15,17,23,25,29,31,33) 6.4 (3,5)
11/26(T)	6.2	Lecture22	Lecture 22
11/28(R)	Thanksgiving
12/3(T)	6.3,	Lecture23	Lecture 23		Impulse Response: Natural Frequency Impulse Response: Spring System
12/5(R)	6.4 Homework 7	Lecture24	Lecture 24	Final exam Fall 2003 Fall 2004 Fall 2016	Matlab program 3 4 5 6 7
12/13(F)				Final Exam 9am-12pm