Math 6701 A and B - Math Methods of Applied Sciences I. Summer 2016

All the handouts will be posted in this web page.

This course is taught by two instructors. This is the webpage of Goldsztein. Please also visit the page of Professor Gangbo to get all the information about this course, including sample exams http://people.math.gatech.edu/~gangbo/academic/math6701/

Time and location

Lectures of section A are on Mondays and Wednesdays from 8:00am to 9:45am in Klaus 2447 Lectures of section B are on Mondays and Wednesdays from 10:00am to 11:45am in College of Computing 16

Instructors

First half of the course: May 16-Jun22
Wilfrid Gangbo
Skiles Building, Room 208A
Phone: 894-7055
e-mail: gangbo@math.gatech.edu
Office hours: Mondays and Wednesdays 12pm to 1pm

Second half of the course: Jun 23-Jul 26
Guillermo Goldsztein
Skiles Building, Room 112
Phone: 894-2286
e-mail: ggold@math.gatech.edu
Office hours: Mondays and Wednesdays 1pm to 2pm

Prerequisites

Math 2406 or Math 4305, and Math 2403

Material to be covered

Book

We will closely follow the book "Advanced Engineering Mathematics" by Zill, 5th edition. Not required.

Grading policy

There will be 3 exams, the first two are worth 35% of the grade and the last one 30%. 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.

Exam dates

Exam 1: 6/13/16 (due date for distance learning students: 6/20/16)
Exam 1 b: Take home. Due date 7/11/16
Exam 2: It is take home. Due date TBD
Exam 3: A section: 7/29/16 8am-10:50a. B section: 8/3/16 8a-10:50a (due date for distance learning students: 8/3/16. Note that this is not a full week after the date the local students take the exam) The distance learning students will need a proctor and follow the distance learning procedures.

Exam 1 solutions

Slight change in grading policy

Reason: To save time

Exam 1b Is it optional. It is due on July 11. It is take home. Thus, no proctor is needed for distance learning students. If you do this exam, the grade of this exam will be averaged with the grade of exam 1, and that will your new exam one grade.

Exam 2 It is due on July 18, both for local and distance learning students. Distance learning students, please send the exam directly to esabo@gatech.edu

Georgia Tech honor code

Sections of the book covered in lecture and you need to know for the exam 1: Chapter 7.

Sections of the book to be covered in lecture and you need to know for the exam 1b: Sections 8.1 to 8.4, 8.6, 8.8, 8.10, 8.12 and 8.16.

Sections of the book to be covered in lecture and you need to know for the 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

The final will be only on complex variables. Sections of the book to study for the final: 17.1-7, 18.1-4 and 19.1-6. Sample problems for the book to practice. 17.1.25, 17.2.31, 17.3.13, 18.1.4, 18.2.5, 18.2.11, 18.3.2, 18.3.9, 18.4.13, 19.2.4, 19.2.15, 19.3.5, 19.3.19, 19.4.15, 19.5.3, 19.5.26, 19.6.1, 19.6.11

Lecture of 7/25 (the little we could not finish in class)

Sample Final
The first two problems of the sample final are solved in the Lecture of 7/25 link above and the last two in the Lecture of 7/25 (the little we could not finish in class)
Clarification: I am going to repeat what I said many times in lectures
For the final you need to know everthing I explained in the last four lectures, plus what I wrote and posted above in "Lecture of 7/25 (the little we could not finish in class)". What I wrote is really a small extension of what I explained today, so it is not really new material not covered in class. I can test you on anything I explained in lecture
How much you use the book and how many problems you try to solve is entirely upto you. The purpose of reading the book is to clarify concepts if you have doubts after attending and reading the lectures. The purpose of doing problems from the book is to aquire practice and master the concepts How much reading or how many problems you should do? You should be able to figure that out. The short answer is, enough to feel comfortable with the material.
I listed some suggested problems from the book above, but if you follow the lectures, you should be able to tell which problems problems from the book are relevant and which are not.

Example

Solutions exam 1 b. Page 1

Solutions exam 1 b. Page 2

Solutions exam 1 b. Page 3

Solutions exam 2. Page 1

Solutions exam 2. Page 2

Solutions exam 2. Page 3

Solutions exam 2. Page 4

Solutions exam 2. Page 5