MAT127 (Differential Equations; Infinite Series)


Course Information

Instructor:
Xuntao Hu
email: xuntao.hu at stonybrook.edu
Office: 5-125B Math Tower
Office Hours: 1-3pm Wed in MLC, S-235

Location: Library N3063
Dates:
July 9th - August 16th
M/W/Th 9:30-11:45am
Final I: Jul 25th
Final II: Aug 15th

Class Arrangement
In each lecture we basically follow the following timetable:
9:30-11:00 Lecture,
11:00-11:15 Short break
11:15-11:45 Exercises and Discussion

Grading

Homework 20%; Final I 40%; Final II 40%. (Final letter grading will be curved.)

Tentative Schedule

(Please note that this schedule may be changed subject to circumstances.)

Week 1

  • – Jul 9   7.2   Introduction; Review; Directional Fields;
  • – Jul 11   7.2  Euler's Method;
  • – Jul 12   7.3  Separable Equations ;

    • Week 2

  • – Jul 16   7.4  Exponential Growth and Decay;
  • – Jul 18   7.5  The Logistic Equation, 2nd Order Equation Class Material;;
  • – Jul 19   2nd Order Equation, conti;

    • Week 3

  • – Jul 23   Review for Final I;
  • – Jul 25   Final I   Practice Exam and Answers;
  • – Jul 26   Short Class: Going over Final I;

    • Week 4

  • – Jul 30   8.1  Sequences;
  • – Aug 1   8.2  Series;
  • – Aug 2   8.3  The Integral and Comparison Test, Limit Comparison Test;

    • Week 5

  • – Aug 6   8.4  Alternating Series Test; Absolute Convergence; Ratio Test;
  • – Aug 8   8.5, 8.6  Power Series and the Interval of Convergence; Representation of functions as Power Series;
  • – Aug 9   8.6, 8.7  Differentiating and Integrating of Power Series; Taylor Series and MacLaurin Series

    • Week 6

  • – Aug 13   Review for Final II;
  • – Aug 15   Final II   Practice Exam and Answers;

    • Homeworks

      The following are due on July 16th in class:

    • (7.1) 1, 4;
    • (7.2) 11, 21, 23;
    • (7.3) 3, 5, 11, 19, 29, 31, 45

      • The following are due on July 23th in class:

    • (7.4) 1, 3, 15;
    • (7.5) 3, 4;
    • (Note on 2nd Order Equation) 3, 4, 8, 17, 18, 19

      • The following are due on August 6th in class:

    • (8.1) 14, 19, 22, 50
    • (8.2) 12, 21, 32, 42, 47
    • (8.3) 5, 6, 10, 15, 20, 21

      • The following are due on August 13th in class:

    • (8.4) 6, 13, 22, 25, 27
    • (8.5) 4, 8, 15
    • (8.6) 3, 6, 11, 14
    • (8.7) 7, 12, 16

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