Math 53 Information Page

Instructors

Name: Ralph L. Cohen
Office: 383-X (3rd floor, Building 380)
Phone: 723-1862
e-mail: ralph@math.stanford.edu

Office Hours: Mon, Wed: 2:15pm - 3:30pm or by appointment.

Lectures: Every MWF at either 11:00 - 11:50 or 1:15 - 2:05 in 380X.

Name: Frederic G. Gibou
Office: 383-SS (3rd floor, Building 380) and Gates 253
Phone: 723-0338
e-mail: fgibou@math.stanford.edu

Office Hours: Mon, Wed: 5:00pm - 6:15pm in Gates 253 or by appointment.

Lectures: Every MWF at either 11:00 - 11:50 or 1:15 - 2:05 in 380Y.

 

Teaching Assistants

Instructor’s Name

TA’s Name

Office Number

Email Address

Office Hours

Sections

Ralph Cohen

David Li

380 U1

dave@math.stanford.edu

T-Th 11:15am -12:30pm

2 and 3

Ralph Cohen

Ke Zhu

380 T

zhuke@math.stanford.edu

T 2:30-3:30 pm and Th 9am-10:45am

5 and 6

Frederic Gibou

Yu Yan

381 N

yyan@math.stanford.edu

M-T 4:45-6pm

8 and 9

Frederic Gibou

Eric Katz

380 N

eekatz@math.stanford.edu

M 4:15-5:05pm T 3:15-5:05

11 and 12

 

 

Sections

Section 2 meets in Herrin T185 at 10:00am.

Section 3 meets in 380-380F at 1:15pm.

Section 5 meets in 60-61G at 11:00am.

Section 6 meets in Terman 102 at 1:15pm

Section 8 meets in Gesb 131 at 11:00am.

Section 9 meets in Mitch B67 at 1:15pm

Section 11 meets in 320-109 at 11:00am.

Section 12 meets in Mitch B 67 at 2:15 am.

Textbook and Syllabus

The textbook for the course is "Differential Equations ", by Polking, Boggess, and Arnold. Here is a link to the Syllabus.

Course Description and Prerequisites

This is an introductory course in ordinary differential equations (ODEs). The primary focus will be on techniques for finding explicit solutions to ODEs. We will also study some nonlinear equations, elementary numerical methods, and ways of qualitatively describing solutions of ODEs without solving them explicitly. Math 51 or equivalent is required for this course. In particular, you should be familiar with one-variable differentiation and integration, two-variable differentiation, vectors, matrices, systems of linear equations, determinants, and inverses, though some of this material is covered in Chapter 7 of the text and will be briefly reviewed in the course. Here is a course preview.

 

Grading Policy

Homework: 10%.
Midterms: 50%.
Final Exam: 40%.

Letter grades are assigned based on relative standing within the class.

Homework Policy

Assignments will consist of a reading assignment and exercises for each class. They will be posted on the web every Thursday and due in section the following Thursday. They will be graded and returned in section the following Thursday.

You are encouraged to discuss any aspect of this class, including the material covered in lectures, the readings, and the problem sets, with anyone, including other students in the class and the SUMO tutors. You can also consult any source that may help you with the class in general and the problem sets in particular. However, you must write your own solutions to the problem sets. As the best way to learn the techniques covered in this class is to practice using them, you are encouraged to work through as many of the odd-numbered exercises in the textbook as possible. You will find answers and solutions to these problems in the textbook and in the student solution manual, respectively.

 

Exam Schedule

Midterm #1: Monday, April 26, 7:00 pm-8:30 pm. Place TBA.
Midterm #2: Thursday, May 20, 7:00 pm-8:30 pm. Place TBA.
Final Exam: Friday June 4, 7-10pm. Place CUBBERLEY AUD. 

Students with a class that conflicts with a midterm will have an opportunity to take the test earlier in the day. You must arrange for this at least one week in advance. All other students must take the tests at the scheduled time. There will be no make-up time for the final exam.

Some students will be taking two math classes with an exam at that time. Our policy is the higher numbered course makes the exception.  There are handicapped students, maybe athletes legitimately away from campus, emergencies, which we deal with when they arise on a case-by-case basis.  It is not an emergency that a student didn't know when the final was, or has other tests that day, or got behind in the class and isn't ready to take the final.

Calculators

No calculators will be allowed during the exams.

Tutoring Help

The Stanford University Mathematics Organization (SUMO) holds homework/tutoring help session for all students in the Math 50 series, i.e. 51, 52, 53.  These session are held in the evening as follows:

MONDAYS AND WEDNESDAYS 6:00-10:00 PM ROOM 380-381T

Tutoring will begin next Monday, April 5.

CourseWork

CourseWork is a web-based program that will be used in Math 53 to allow students to check grades online, and the instructor to email important Math 53 information to the entire class. It is a secure program, so your grades will be available through CourseWork only to you. YOU MUST SIGN UP FOR COURSEWORK!!!

Here is a link to CourseWork.

 

Homework

 

Section 2.4 p. 62-63 #4, 6, 18

        2.5 p. 70-71 #4

        2.2 p. 39-42 #4, 10, 18, 34

        2.3 p. 50-51 #4, 11

        3.3 p. 149-151 #6, 7, 11, 12a,b

        3.4 p. 155-156 #14

        2.6 p. 85-86 #10, 14, 26

 

Solutions

 

 

 

Section 2.7: #4, 10, 26
        2.8: #16
        2.9: #8, 9, 20, 28
        3.1: #2, 12, 18
        4.1: #4, 12, 14
        4.2: #4, 8

 

Solutions

 

 

 

Section 4.3  # 2, 6, 10, 14, 20, 22

  4.4  # 11, 14, 18

4.5        # 2, 4, 8, 12, 18, 20, 26

 

Solutions

 

 

 

Section 5.1  #6, 10, 14

  5.2   #6, 10

  5.3   #4, 6, 16, 26, 30

  5.4   #2, 6, 10, 20, 27

  5.5   #2, 6

  5.6   #4, 8, 9

5.7            # 6, 12, 18, 22

 

Solutions

 

 

Section 7.1:  #30, 32,50

  7.2: #1,2,4, 12,14

  7.3: #12, 16, 20 (do not use a computer or calculator)

  7.4: #4, 10, 16, 20, 24, 30, 34

  7.5: #4, 6, 10, 12, 18, 22, 28, 34

  7.6: #8, 14, 28, 34

 

Solutions

 

 

 

Sect. 9.5: #2, 4, 5, 6, 8, 14, 18, 26, 36

            9.8: #2, 6,12,18

            8.3: #2, 8,

            8.4: #2, 4,14,20

            9.6: #2, 6,12

 

Midterm I

·        Midterm I Information

·        Practice Tests

·        Previous Midterm with Solutions

·        Statistics:

Mean = 78.4

Median = 83.75

Standard deviation = 18.81

 

 

Midterm II

·        Review session: Wednesday, May 19   7:00 pm to 8:30 pm room 370 -370

·        Alternate exam:  Thursday, May 20:  4:30 pm to 6:00 pm room 420-041

·        Main exam:  Thursday, May 20, 7:00 pm to 8:30 pm room 420—41

·        We remind you that you must tell your TA at least a week in advance if you must take the alternative exam. Moreover, the alternative exam is for academic conflicts only.

·        Practice Tests

·        Last quarter midterm

·        The midterm will cover Chapters 5.1-5.7, 8.1-8.2, 9.1-9.4

·        Statistics: The statistics do not yet include the changes for question #4.

Mean = 71.2

Median = 75

Standard deviation = 17.6

 

Final

We are reminding you that your final exam is 7:00-10:00 PM on Friday, June 4. This is in the time schedule.

We emphasize that if you do not take the exam at this time you will fail the class.

Prof. Cohen will give a review session for the final:  Wed. June 2, 7:00pm room 380-C.

 

Suggested problems from sections 9.7 and 6.2  (the last sections to be covered on the final:

 

9.7:  #2, 4, 8, 14, 17, 23, 28, 30, 37

6.2:  #2, 5, 10

·        Practice Exam