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MATH 2074 001 MWF 9:05 AM 10:00 FRENCH-W 4211
MATH 2074 002 MWF 11:15 AM 12:10 60WCHARL 273

Dynamical Systems Spring 2023

PDFs: | Quiz 1 | Quiz 2 | Quiz 3 | Quiz 4 | Exam 1 |
|Quiz 5 | Quiz 6 | Quiz 7 | Exam 2 |
| Quiz 8 | Quiz 9 | Quiz 10 |

Course Info


Instructor: Professor Wlodek Bryc
Office: French West 4316 (513) 556-4098,
E-mail:
Office hours
Textbook: Introduction to Differential Equations with Dynamical Systems ISBN: 978-0-691-12474-2 Author: Stephen L. Campbell and Richard Haberman Publisher: Princeton University Press

Exams and important dates

Technology and Calculators Policy: No books, notes, calculators and/or other electronic devices are allowed on the in class exams and quizzes.

Grading

Homework/Quizzes 20%, Exams 25% each, Final 30%

Grading scale: Course Ave above 93% is A, 90% is A-, 80% is B-, 70% is C-, 60% is D-.
To estimate your current status, please look at My Grades on Canvas.
Withdrawal policy: You will need to take at least one quiz/exam to confirm your participation in the class.

Course description

Study of first-order differential equations , second-order linear differential equations with constant coefficients and their applications, higher-order linear differential equations. Covers linear dependence for solutions of a second-order linear homogeneous differential equation. Wronskians, the method of undetermined coefficients, the method of variation of parameters, the Laplace transform, and the qualitative study of two-dimensional dynamical systems through phase-plane analysis.

Week-by-week

(The exact coverage dates may have to be adjusted. If necessary, some sections may be dropped or covered only lightly.)
  1. Jan 9: Sections 1.1,1.2,1.3, 1.4
    Suggested Exercises: pg 11: 9, 11, 17, 23, 33, 35 pg 17: 1, 3, 5, 7, 9, 23, 27 pg 23: 1-6
  2. Jan 18: Sections 1.6, 1.7 (no class Jan 16)
    Suggested Exercises: pg 41: 1, 3, 5, 7, 11, 17 pg 45: 19, 21, 23, 25, 29, 31, 47 pg 54: 1, 3, 7, 11, 17, 23, 25, 27, 31
  3. Jan 23: Sections 2.1, 2.2, 2.3
    Suggested Exercises: pg 100: 1, 3, 5 pg 105: 1, 3, 5, 8, 13, 15 pg 111: 1, 3, 5, 7, 9, 11, 15, 17
  4. Jan 30: Sections 2.4, 2.6
    Suggested Exercises: pg 120: 1-33 odd pg 123: 51, 53, 55, 61, 75, pg 155: 1, 3, 5, 7, 13-51 odd, 53, 55, 57, 61, 63, 71, 75
    Sect 2.5 Simulation +Theory
  5. Feb 6: Section 2.10, Review, Exam 1 over Ch 1, 2.
    Suggested Exercises: pg 192: 1, 3, 15
    6. Course checkpoint. The topics below may need adjustment to match the actual pace of the course
  6. Feb 13: Sections 3.1, 3.2, 3.3 I-Quiz
    Suggested Exercises: pg 206: 1, 3, 5, 15, 17, 27, 33, 41, 47-65 odd, 67, 69, 71 pg 212: 81, 83, 91, 93 pg 222: 1-67 odd
  7. Feb 20: Sections 3.3, 3.4, 3.5 I-Quiz
    Suggested Exercises: pg 233: 1, 3, 15, 19, 25 pg 244: 1, 3, 5, 7, 9, 11, 15, 17, 27, 31, 39 pg 252: 1, 3, 9
  8. Feb 27: Sections 4.1, 4.2
    Suggested Exercises: pg 284: 1-49 odd
  9. March 6: Section 4.3, Review, Exam 2 over Ch 3, 4.
    Suggested Exercises: pg 312: 9, 11, 13, 23, 25, 27, 29, 33
    10. Course checkpoint. The topics below may need adjustment to match the actual pace of the course
  10. March 20: Sections 5.1, 5.2, 5.3 I-Quiz
    Suggested Exercises: pg 321: 1-15 odd pg 326: 1-17 odd
  11. March 27: Sections 1.8, 1.9, 5.4
    Suggested Exercises: pg 71: 21, 27, 29 pg 80: 1, 3, 5, 7, 9 pg 330: 1, 6, 7
    12. Course checkpoint. The topics below may need adjustment to match the actual pace of the course
  12. April 3: Sections 6.1, 6.2
    Suggested Exercises: pg 348: 1-17 odd
  13. April 10: Sections 6.3, 6.4
    Suggested Exercises: pg 360: 1, 3, 5, 7, 11, pg 376: 3, 7, 9, 11
  14. April 17: Review
  15. April 24: Final Exams week

Academic Integrity Policy

The University Rules, including the Student Code of Conduct, and other documented policies of the department, college, and university related to academic integrity will be enforced. Any violation of these regulations, including acts of plagiarism or cheating, will be dealt with on an individual basis according to the severity of the misconduct.

Tutoring

Students may schedule appointments online at the Learning Commons site: https://www.uc.edu/learningcommons.html or by contacting the Learning Commons at (513) 556-3244.

Drop-in tutoring is offered for this course by the Math and Science Support (MASS) Center. You can find the schedule and more information about the MASS Center at https://www.uc.edu/learningcommons/masscenter.html.

Safety

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Syllabus is subject to change

 This syllabus will be updated with additional information as it becomes available. Please refresh your browser to make sure that the updates are visible. Revision date appears at the top and at the bottom of this page.