Differential Equations, Summer 2014

Section 02


Lectures: MTWH 10:05-11:55 AM
Location: BRR 5117 Livingston
Sakai: Click Here

Instructor: Bud Coulson
Email: bud at math.rutgers.edu
Office Hours: TH 12:00-1:00 PM, Hill 521 Busch

Textbook: Blanchard, Devaney, Hall;   Differential Equations (fourth edition), Brooks/Cole, 2011 (864 pp.); (ISBN: 0-495-82674-X; ISBN13: 9781133109037)

Calculators: No calculator is required for this course. A scientific calculator may be used for quizzes and exams.

General Course Information [An information page by math department on textbooks, syllabus, review materials etc.]

Academic Integrity Policy

Attendance Policy

Quizzes

Homework

Exams and Grading

Course Plan

Lecture
 Section(s)
 Topics
 Homework Problems
Monday, July 7th
 N1, 1.1 Modeling
 N1: Section 8 1-11
1.1:  2, 3, 5, 15, 17, 19
Tuesday, July 8th
 1.2 Seperation of Variables 1.2:  1, 3, 7, 13, 25, 29, 31, 35
Wednesday, July 9th
 1.3, 1.4, RTB1 Slope Fields, Euler's Method 1.3:  1-13 odd, 14, 15, 17
1.4:  1, 13, 15
Thursday, July 10th
 1.5, 1.6 Existence & Uniqueness, Phase Portraits 1.5:  1, 3, 5, 7, 10
1.6:  1, 3, 13, 15, 23, 31, 33, 39
Monday, July 14th
 1.7, N2 Bifurcations 1.7:  1, 3, 5, 9, 11, 17
Tuesday, July 15th
 1.8, 1.9 Linear Equations, Integrating Factors 1.8:  1-13 odd, 21, 23
1.9:  1-11 odd, 21, 23
Wednesday, July 16th
 2.1, 2.2 Systems of Differential Equations 2.1:  1, 2, 7, 8, 9, 17, 19
2.2:  1-11 odd
Thursday, July 17th
 2.3, 2.4, N3 Damped Harmonic Oscillator, Additional Analytic Methods 2.4:  1, 3, 5, 7, 13
N3: All
Monday, July 21st
 2.5, 3.1 Euler's Method for Systems, Properties of Linear Systems 2.5:  1, 2, 3, 4, 6, 7
3.1: 1-9 odd, 13, 17, 19
Tuesday, July 22nd
 3.2, 3.3 Straight-Line Solutions, Phase Plane for Real Eigenvalues 3.2: 1-11 odd, 17, 19
Wednesday, July 23rd
 Review
Thursday, July 24th
 Exam
Monday, July 28th
 3.4 Complex Eigenvalues 3.4: 1-15 odd, 19
Tuesday, July 29th
 3.5 Repeated Eigenvalues 3.5: 1-7 odd, 11, 12
Wednesday, July 30th
 3.7, N4 Matrix Exponentials, Trace-Determinant Plane N4: all
3.7 : 1-7 odd
Thursday, July 31st
 3.6, 3.8 3-D Linear Systems, Second-Order Linear Differential Equations 3.6: 1-11 odd, 33
3.8 : 4, 5, 6, 14
Monday, August 4th
 3.6, 5.1 Harmonic Oscillators, Equilibrium Point Analysis 3.6: 29, 34, 35
5.1 : 1, 3, 17, 18
Tuesday, August 5th
 4.1, 4.2 Forced Harmonic Oscillators, Sinusoidal Forcing 4.1: 1-11 odd, 20, 31
4.2 : 1-5 odd, 15
Wednesday, August 6th
 4.3, 4.4 Resonance, Phase and Amplitude 4.3: 1, 3, 9, 11, 15, 17
4.2 : 1-5 odd (written in amplitude-phase angle form)