Math 6701 - Math Methods of Applied Sciences I. Summer 2018

All the handouts will be posted in this web page.

Time and location

Lectures are on Tuesdays and Thursdays from 8:00am to 9:50am in Klaus 2443

Instructor

Guillermo Goldsztein
Skiles Building, Room 112
Phone: 894-2286
e-mail: ggold@math.gatech.edu
Office hours: Tuesdays and Thursdays 10am to 10:30am

Graders

Tianyi (for Homwework 1 and Exam 1 only) e-mail: kafuka@gatech.edu
Xingyu (for Homework 2, Exam 2 and final) e-mail: xyzhu@gatech.edu

Material to be covered and prerequisites

Book

We will closely follow the book "Advanced Engineering Mathematics" by Zill, 6th edition. Not required.

Grading policy

There will be 2 homeworks assigments, and 3 exams.
Each homework and each exam will be worth equally.
To get an A you need 85% of the maximum possible grade. To get a B 70% and to get a C 50%. The exams are not open book. No calculators, etc. Only paper and pen.

Homeworks due dates (same due date for both local and distance learning students)

HW 1: 6/14
Hw 2: 7/5

Exam dates

Exam 1: 6/21 (between 6/21 and 6/28 for DL students)
Exam 2: 7/10 (between 7/10 and 7/17 for DL students)
Exam 3: 7/30 8am-10:50pm (during the final time) (between 7/30 and 8/3 for DL students).

1) When you send an email, please let me know if you are a local student or a distance learning student.

Message to the distance learning students:
1) Technical questions on how to watch the lectures or if there are any problems should be adressed directly to distance learning. I will not have the answers.
2) The distance learning students will need a proctor and follow the distance learning procedures. Again, questions about that should be adressed to distance learning directly.
3) Once the distance learning exams are graded, they will be returned to distance learning and they have a way to get them to the students.
4) The DL students will have a full week to schedule their exams with the proctors for exams 1 and 2. The third exam will be different. They will have only 4 days. The reason is logistics. I get lots of requests to turn in the final grades early by the DL students, but also a lot of requests to give them an extra week. I can not do both. Thus, I will use the middle ground of asking the DL students to take the exam 3 within a few days of the date the local students take exam 3.
5) The HW will be posted one week before they are due. They serve as practice exams so I want to post the solutions shortly after they are due. Thus, having them due one week later for distance learning students would disrupt these plans to post the solutions.
6) Please send your homework on or before the due date by email directly to the grader (NOT TO ME).

Georgia Tech (read and take seriously) honor code

Sections of the book covered in lecture and you need to know for the exams:
Exam 1: Linear Algebra. Chapter 7. Sections 8.1 to 8.4, 8.6, 8.8, 8.10, 8.12 and 8.16.
Exam 2: Differential Equations. Sections: 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 2.7, 2.8, 3.1, 3.2, 3.3, 3.7, 3.8, 3.11 and 3.12.
Final: Sections: Complex variables. 17.1-7, 18.1-4 and 19.1-6.

Below are the lecture notes from a previous summer. The lectures this summer will be almost identical, but there may be slight changes, especially at the end, in the section of complex variables. If they are chenged, I will post the new ones after the corresponding lecture.

Homework 1 It is due on June 14, in class. Distance learning students, please send the homework directly to the grader (not me) kafuka@gatech.edu, also by June 14.

Hint for a problem in Homework 1 <

Solutions to Homework 1

Homework 2 It is due on July 5th, in class. Distance learning students, please send the homework directly to the grader (not me) xyzhu@gatech.edu, also by July 5th.

Solutions to Homework 2

Sample Final The solutions are in lecture 19 (below, at the end of this webpage)

Lecture 1 (5/15)
Suggested HW:
Section 7.1: 1, 2, 9, 15, 26
Section 7.3: 1, 11, 13, 15, 21, 39

Lecture 2 (5/17)
Suggested HW:
Section 7.4: 1, 11, 13, 15, 45, 47, 51
Section 7.5: 1, 7, 13, 19, 23, 31, 35, 39, 45, 51, 60, 63, 65, 69

Lecture 3 (5/22)
Suggested HW:
Section 7.6: 1, 11, 17, 21, 25
Section 7.7: 1, 3, 5, 9, 17, 19

Solutions to problems 7.7.1, 17 and 19
Note that we did Gram-Schmidt slightly different than the book. We always end up with orthonormal vectors, not just orthogonal

Lecture 4 (5/24)
Suggested HW:
Section 8.1: 1, 7, 13, 15, 17, 23, 25

Lecture 5 (5/29)
Suggested HW:
Section 8.2: 1, 5, 9, 13, 17
Section 8.3: 1, 11, 15
Section 8.4: 11, 13, 21
Section 8.6: 1, 3, 15, 27, 39

Lecture 6 (5/31)
Section 8.8: 7, 17 (also redo examples in class)

Lecture 7 (6/5)
Section 8.10: 1, 9, 11, 15, 21 (also redo examples given in class)

Lecture 8 (6/7)
Section 8.12: 1, 11, 17, 21, 27
Section 8.16: 1, 9

Lecture 9 (6/12)
Section 2.1: 1, 13
Section 2.2: 1, 5, 7, 15, 17, 25, 29, 31

Lecture 10 (6/14)
Section 2.3: 3, 7, 13

Solutions to problems 2.1.13 and 2.3.13

Lecture 11 (6/19)
Redo examples given in class

Exam 1 (6/21)
Redo examples given in class
Section 3.3: 1, 7, 13, 15, 29
Section 3.4: 1, 7, 13, 15, 29, 37

Lecture 12 (6/26)

Lecture 13 (6/28)