Mathematical Methods of Applied Sciences I

MATH 6701

Lecture MW 12:30-1:45
Lectures are delivered this semester using video conferencing software.
INSTRUCTOR: John McCuan
Office Hours: MW 2:00-3:00 or by appointment
Office hours are available this semester using video conferencing software.
Email: gtfall20 pm.me
Course Page: http://www.math.gatech.edu/~mccuan/courses/6701/

Course Materials and Notes:

Text:
Mathematical Methods in the Physical Sciences (3rd edition),
Mary L. Boas
(Wiley)

Topics/Sections Covered: Topics from Chapters 1-3,8,9,12,14

Assignments (rescheduled) according to the demands of the great reschedule
Assignments (alternative) for those in danger of math education
The assignment pages contain a dynamic record of topics covered in the lecture, posted assignments, and due dates.

Introduction

Complex Numbers

Solution of Assignment 1 Problem 7

A Catalog of Real Differentiation

Complex Functions

Solution of Assignment 2 Problem 1

Linear Algebra

Solution of Assignment 3 Problem 5

Solutions of Assignment 4 Problems 1 and 2

Solutions of Exam 2 Problem 1

Solutions of Exam 2 Problem 5

ODEs

Important: Some things you can do with mathematical software     pdf

For further resources on ODEs see the links at the bottom of this course page

Summary/Overview

Solutions of Exam 1 Problems 3 and 10

Grading Scheme:

Assignments 50%
Exam 1 15%
Exam 2 15%
Final Exam 20%  

(Below 60% F; 60-69% D; 70-79% C; 80-89% B; 90-100% A)

Solutions for assignments (and exams) should be scanned or otherwise submitted in pdf format on canvas.
Specific problems may be checked for content.
Which problems will be checked for content will not be announced.
Complete and detailed solutions are expected.
Solutions should be neatly written or typed.
Due dates are recorded on the assignments page.

Assignments will be accepted one day late with a 25 percent reduction in the grade.
Assignments will be accepted two days late with a 50 percent reduction in the grade.
Assignments more than two days late will not be accepted.

Exams will be, unless specified otherwise, "take home." They will be somewhat like homework assignments except probably shorter and a bit more difficult. Also you should do your own work on exams, but you can work with others on homework assignments. (That is a difference.) Exams will be made available on the assignments page, and you should have a week or so to do them, so there should be no problem with missing exams.

Dates of Exams (tentative):

Exam 1 (Complex Analysis) September 18 (F)
Exam 2 (Linear Algebra) October 16 (F)
Final Exam (Ordinary Differential Equations) Monday December 7, 11:20-2:10

Exams are cumulative.

Policy on missed exams: Official written excuse required.

Link to GT code

Note: Here are some sample exams, but the presentation (and the assignments and exams) will be rather different this semester. Still the material is, overall, essentially the same.

Sample Exams:

Exam 1
Exam 2 (new!)
Final Exam   an old practice final

Homework

Extra Materials:
course expectations
more course expectations

November 3, 2020

on grades and grading
related presentation with links

This webpage serves as the required instructor's syllabus for the course. Let me know if it is not in compliance with the SBRN2L.