AMS 20 & 20A: Mathematical Methods for Engineers II

 

IMPORTANT: Classroom Change

New Class Location at Oakes 105 beginning Jan 6, Wed.

Check out the Online Lecture Note under the Course Material Tab (NEW)

 

Who

Instructor: Dongwook Lee (dlee79 _at_ ucsc _dot_ edu), Applied Mathematics and Statistics, Baskin Engineering 353C

TAs: Sky Trigueiro (striguei _at_ ucsc _dot_ edu); Richard Shaffer (rshaffer _at_ soe _dot_ ucsc _dot_ edu)

Where, When, and What

Lectures: Mon, Wed & Fri, 11:00 am - 12:10 pm at Oakes 105

 

Lab Sections: There are four mandatory computer lab/discussion sections led by TAs. Students are required to attend one of these four sections. Lab/discussion sections will be used to teach MATLAB programming needed for the course, review lectures, and solve practice problems.

 

Textbook: Elementary Differential Equations, William Boyce and Richard DiPrima, Wiley, 10th Edition. You can get the UCSC custom version to save the cost.

 

Office Hours:

  • Dongwook Lee: MW 1:00 pm -- 2:30 pm, BE 353C
  • TAs: Sky Trigueiro (Fri 1:00 pm - 2:00 pm, BE 312C/D); Richard Shaffer (Tue 1:00 pm - 2:00 pm, BE 312C/D)

 

Tutoring Hours:

  • Tianyi (aka, Jason) Zhu (tjzhu _at_ ucsc _dot_ edu) at Jack's Lounge in BE.
    • (a) Tue 10:00 am - 11:00 am
    • (b) Tue 2:00 pm - 3:00 pm
    • (c) Thu 10:00 am - 11:00 am
  • Please directly contact the tutor for your tutoring arrangements.

 Course Objectives

The course provides fundamentals of Ordinary Differential Equations (ODEs) and systems of ODEs with strong emphasis on engineering applications. 

Grading Policy

Homework: (see more in the Homework Assignments tab) 

  • Homework will be due weekly on Monday at the beginning of class. Homework will be posted online (see the Homework Assignments tab). Late homework is NEVER accepted. For each homework, a selected set of problems will be graded. The graded homework will be returned to you in lab sections. Please print your name, lab section number, and Student ID clearly on the first page of your homework.

 

Quizzes: (see more in the Quizzes and Exam Schedules tab) 

  • AMS 20 students  : there will be six quizzes for AMS 20 in labs.
  • AMS 20A students: only the first three of them (Quiz 1 ~ Quiz 3 in labs) are required for AMS 20A.

 

Two in-class exams: (see more in the Quizzes and Exam Schedules tab) 

  • Midterm exam (only for AMS 20): Feb 8, Mon, in-class.
  • Final exam (both for AMS 20 and AMS 20A): Mar 16, Wed (12 pm -- 3 pm, tentative).

 

Grading:

  • AMS 20  :  Homework: 20%   Quizzes: 10%  Midterm: 30%   Final 40%
    • Required participation:
      • All class activities (classes, labs, six quizzes, homework sets, midterm and final exams)
  • AMS 20A:  Homework: 30%   Quizzes: 10%  Final 60%
    • Required participation:
      • All class activities (classes, lab sessions, quiz 1 ~ quiz 3, homework sets) for Week 1 ~ Week 6
      • Final exam
      • no midterm exam

 

The final exam grade:

For AMS 20, the final grade from the two exams will be computed as a maximum of the two different methods:

  • method 1: A = 30% of midterm exam + 40% of the final exam
  • method 2: B = max(midterm, final)
  • your final exam grade = max(A,B)

 

Passing grades: Your overall score must be 65 or above (i.e., C or above) in order to pass the class.

Overall Scores Grade
90 - 100 A- to A+
79 - 89 B- to B+
65 - 78 C to C+
50 - 64 D
0 - 49 F

 

Academic Honesty: 

  • Any form of cheating or dishonest academic activities (using notes, books, smart phones, tablet PCs, or electronic devices; copying from someone else, etc. on in-class quizzes or exams) will not be tolerated and such students will receive a failing grade. Any students with such activities, if caught by the instructors or classmates, will be reported to the AMS department and her/his college provost.
  • See more explanation at http://www.ucsc.edu/academics/academic_integrity/index.html

 

A List of Course Topics

Note: AMS 20A students are NOT required to attend classes from week 7 to week 10

Click the Class Schedules tab to see more details

  • Week 1: Introduction and basic mathematical models involving ODEs, First order linear ODEs, and integrating factor method.
  • Week 2: Nonlinear separable equations, existence and uniqueness of solutions.  
  • Week 3: Homogeneous second order linear ODEs. Existence and Uniqueness, Principle of Superposition, Wronskian, fundamental Solutions
  • Week 4: Homogeneous linear ODEs with constant coefficients, nonhomogeneous linear ODEs, method of variation of parameters
  • Week 5: Method of undetermined coefficients, mechanical examples of second order linear ODEs, high order linear equations.
  • Midterm exam (Feb 8, Mon, in class)
  • Week 6: Higher order linear equations.
  • Week 7: Laplace transform and initial value problems, discontinuous forcing functions, and review. Review of linear algebra
  • Week 8: Systems of first order linear ODEs. Homogeneous cases with constant coefficients (distinct real eigenvalues and complex eigenvalues).
  • Week 9: Homogeneous cases with constant coefficients repeated eigenvalues.
  • Week 10: Nonhomogeneous systems of first order linear ODEs, engineering applications.
  • Final exam (Mar 16, Wed, 12 pm -- 3 pm; CONFIRMED)

Students with Disabilities

If you qualify for classroom accommodations because of a disability, please get an Accommodation Authorization from the Disability Resource Center (DRC) and submit it to me in person outside of class (e.g., office hours) within the first two weeks of the quarter. Contact DRC at 459-2089 (voice), 459-4806 (TTY), or http://drc.ucsc.edu for more information on the requirements and/or process.