Math 6701 - Math Methods of Applied Sciences I. Summer 2017

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 1443


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

Hagop Tossounian
e-mail: hagopt87@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: 6/15

Homework 1

HW 1 Solutions
Hw 2: 7/6

Homework 2

HW 2 Solutions


Exam 1 Solutions

Exam 2 Solutions


Practice final

Practice final solutions


Final solution page 1

Final solution page 2

Final solution page 3

Final solution page 4

Final solution page 5


Exam dates

Exam 1: 6/29 (between 6/21 and 7/5 for DL students)
Exam 2: 7/13 (between 7/13 and 7/20 for DL students)
Exam 3: 8/3 (Thur) 2:50pm-5:40pm (during the final time) (between 8/3 and 8/5 for DL students).


1) When you send an email, please let me know if you are a local student or a distance learning student.
2) if you are a local student, I strongly prefer that you ask me your questions in person right after lecture in the room we lecture.


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 yo distance learning. I do 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 2 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 will disrupt these plans to post the solutions. The one week delay in due dates for assignments is a historical fact. In the past, it took several days for the students to be able to watch the lectures and thus the delay. Now, they can watch the lectures almost right away. With me posting the HW with one week in advance, there is no reason to delay the due date to the DL students.
6) Please send your homework on or before the due date by email directly to the grader hagopt87@gatech.edu (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: Chapter 7. Sections 8.1 to 8.4, 8.6, 8.8, 8.10, 8.12 and 8.16.
Exam 2: 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: 17.1-7, 18.1-4 and 19.1-6.


Below are 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.


Lecture 1 (5/16)
Suggested HW:
Section 7.1: 1, 2, 9, 15, 26
Section 7.3: 1, 11, 13, 15, 21, 39


Lecture 2 (5/18)
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 (5/23)
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 (5/25)
Suggested HW:
Section 8.1: 1, 7, 13, 15, 17, 23, 25


Lecture 5 (5/30)
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 (6/1)
Section 8.8: 7, 17 (also redo examples in class)


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


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


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


Lecture 10 (6/15)
Section 2.3: 3, 7, 13

Solutions to problems 2.1.13 and 2.3.13


Lecture 11 (6/20)
Redo examples given in class


Lecture 12 (6/22)
Redo examples given in class
Section 3.3: 1, 7, 13, 15, 29
Section 3.4: 1, 7, 13, 15, 29, 37


Lecture 13 (6/27)


Lecture 14 (7/6)


Lecture 15 (7/11)


Lecture 16 (7/18)


Lecture 17 (7/20)