Math 6701 - Math Methods of Applied Sciences I. Summer 2020


Instructor

Guillermo Goldsztein
Skiles Building, Room 112
Phone: 894-2286
e-mail: ggold@math.gatech.edu
Office hours: email me to set up a bluejeans meeting when you have questions


Graders

Skye (for Exam 1 only) e-mail: skye@gatech.edu
Tianyi (Exam 2 and final) e-mail: kafuka@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 3 take home exams. The first two are worth 35% of the grade and the last one 30%
To get an A you need 90% of the maximum possible grade. To get a B 75% and to get a C 60%


Exam due dates

Exam 1: 6/15 (same for DL students)
Exam 2: 7/10 (same for DL students)
Exam 3: 7/30 (same for DL students).
The exams have to be uploaded in Canvas.


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.
Exam 3: Sections: Complex variables. 17.1-7, 18.1-4 and 19.1-6.


Below are the lecture notes from a previous summer (and suggested problems from the book to practice). The lectures this summer will be identical


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


Lecture 2
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
Suggested HW:
Section 7.6: 1, 11, 17, 21, 25
Section 7.7: 1, 3, 5, 9, 17, 19


Lecture 4
Suggested HW:
Section 8.1: 1, 7, 13, 15, 17, 23, 25


Lecture 5
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
Section 8.8: 7, 17


Lecture 7
Section 8.10: 1, 9, 11, 15, 21


Lecture 8
Section 8.12: 1, 11, 17, 21, 27
Section 8.16: 1, 9


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


Lecture 10
Section 2.3: 3, 7, 13


Lecture 11
Redo examples given in class


Lecture 12


Lecture 13


Lecture 14


Lecture 16


Lecture 17


Lecture 18


Lecture 19