PHYS 3390: Mathematical Methods I

COURSE INFORMATION SHEET



PHYS 3400
 Description
 Location/Time
COURSE
PHYS 3390 - Mathematical Methods I - Fall 2004
 UTB, SETB Physics & Astronomy; Room SETB 2.232.
DESCRIPTION
 Infinite and Power Series (Chapter 1); Complex numbers (Chapter 2); Linear Equations, Vectors, Matrices and Determinants (Chapter 3); Partial Differentiation (Chapter 4); Multiple Integrals, Applications of Integration (Chapter 5); Vector Analysis (Chapter 6); Fourier Series (Chapter 7); Ordinary Differential Equations (Chapter 8); Introduction to Partial Differential Equations and Integral Transform (Chapter 13, 15, Sec 1-4). Undergraduate Sophomore and Major Levels
PREREQUISITES & BACKGROUND
 Prerequistes/Background: Calculus I, II, Linear Algebra, Differential Equations; or equivalently Charper 1-4, 8.
Remark: In case you are missing all or part of this background material you will need the professor consent prior registering to this course.		 You can test your preparation taking the following:
Quiz1.pdf
INSTRUCTOR              
 Prof. Manuela Campanelli (Ph.D in Physics, Univ. of Bern CH)
 Office: SETB 2.258
Phone: 574-6656
E-mail: manuela@phys.utb.edu
COURSE TOPICS
 The course will focus on Chapter 5 - 8, Chapter 13 and 15 (Sec 1 - 4), in text book as following:

1) Course: Multiple Integrals, Applications of Integration (Chapter 5);  Review: Linear Equations, Vectors, Matrices and Determinants (Chapter 3)
2) Course: Vector Analysis (Chapter 6);
     Review: Partial Differentiation (Chapter 4);
3) Course: Fourier Series (Chapter 7);
     Review: Infinite and Power Series (Chapter 1); Complex numbers (Chapter 2);
4) Course: Ordinary Differential Equations (Chapter 8);
5) Course Partial Differential Equations (Chapter 13, Sec 1-4)
6) Integral Transform (Chapter 15, Sec 1-4).
 The course will not focus on mathematical proofs but on practical applications and calculations.

Students will be responsible of reviewing material in Chapter 1-4 as needed.
REQUIRED TEXT    
 " Mathematical Methods in the Physical Sciences" by Mary L. Boas, 2nd Edition by John Wiley &  sons


CLASSES
 We will typically see material contained in one chapter of the book every 2-5 classes and problems associated to that chapter will be given to be turn at the end of each chapter as homework; The course will not focus on mathematical proofs but on practical applications and calculations. Attendance in lecture will not be taken, but is highly recommended;
First day of class: August 24th Tuesday and Thursday (10:50 am - 12:15 pm). Room SETB 2.232.
LAB
An weekly lab is associated to this course.  The lab will focus on the following topics: review of some of the topics related to the course (Chapter 1-4), practical applications of all course materials though the use of Algebraic Manipulation Program such as Mathematica and/or Maple. Attendance to the lab is not required, but is highly recommended.
 
Notes:  Lab Syllabus  ;  Session1  ;  Session2  ;  Session3  ;  Session4  ;  Session5
 Lab Instructor:
Napoleon Hernandez
Office: SETB 2.228
Phone: 574-6707
E-mail: nhernandez@phys.utb.edu
OFFICE HRS
 Instructors will be available after lecture and during office hours to answer any questions you might have on the problems;
 T, TH 2:00pm-4:30pm, and by appointment.  
Room SETB 2.258
EXAMS
 Open Book allowed; MidTerm and Final Exam will consist of written examinations based on problems similar to homework; Make-up exams and/or extra credit will not be given;
 MidTerm : Thursday October * (10:30 - 12:00 am). Room SETB 2.232.
Final : Tuesday December * (10:30 - 12:00 am). Room SETB 2.232.
GRADES
 Your final grade will be based on homework (25%), lab (25%), midterm (25%) and final (25%).

Four  homework  sets, extracted among all homeworks, will contribute to the 25% of the grades.

Letter grades will be assigned to number grades as follows: A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: 0-59.
HOMEWORK
 Reading:  Each student is responsible for all the assigned reading.       You will not be able to understand the problems and the exams if you do not properly read the text. Not all material can be covered during classes.
Problems: At least 10 problems associated to each chapter will be given to be turn the day after the end of each chapter. Homework is very important for this course. Students need to solve many problems in order to master this material and learn good problem-solving techniques. Late homework will not be accepted (except in very exceptional cases).
You are strongly encouraged to work together on the problems using the collaborative learning technique.  Group of students can meet and work together on problems provided that they do not copy but learn and solve together the problems. You will discover that, in the process of explaining physics to one another, you obtain a better understanding of the material yourself.

Note: This information sheet will be updated periodically and can be subject to changes (especially in the part of the homework assignements). Any comment or suggestion should be addressed directly to the Instructor .

HOMEWORK  Reading and Homework problems are assigned at the end of each Thursday's class, and are due at the beginning of next Tuesday's class.  

Class 1 (TU, Aug 24) Introduction and Syllabus;
Class 2 (TH Aug 26)
Class 3 (TU Aug 31)
Class 4 (TH Sep 2)
Class 5 (TU Sep 7)
Class 6 (TH Sep 9)
Read Chapter 5: Multiple Integrals, Applications of Integration;  
Review Chapter 3: Linear Equations, Vectors, Matrices and Determinants;
Homework #1 (TU Sep 14): Problems: Sec1,2 (11,21,31,39,45); Sec 3 (1, 13, 21, 26, 31); Sec 4 (5,11,14,21); Sec5 (3,5,14)


Class 7 (TU Sep 14)
Class 9 (TH Sep 16)
Class 10 (TU Sep 21)
Class 11 (TH Sep 23)
Class 11 (TU Sep 28)
Read Chapter 6: Vector Analysis;
Review Chapter 4: Partial Differentiation;
Homework # 2 (TH Sep 30):
 Problems: Sec 3 (7,17,19), Sec 4 (2,8), Sec 6 (10,14),  Sec 7 (13), Sec 8 (4,18), Sec 9 (10), Sec 10 (2, 15), Sec 11 (15, 20)


Class 12 (TH Sep 30)
Class 13 (TU Oct 5)
Class 14 (TH Oct 7)
Class 15 (TU Oct 12)
Class 16 (TH Oct 14)
Read Chapter 7: Fourier Series;
Review Chapter 1-2: Infinite and Power Series; Complex numbers;
Homework # 3 (TU Oct 19): Problems: Sec 2 (10,13), Sec 4 (13,15), Sec 5 (2, 7), Sec 6 (2, 7), Sec 7 (12), Sec 8 (7,11), Sec 9 (5, 11), Sec 10 (4), Sec 11 (7); Lab: Sec 2 (20), Sec 3 (6)


MIDTERM #1 (TU Oct 19):  Chapter 5, 6, 7 and Chapter 1-4


Class 17 (TH Oct 21)
Class 18 (TU Oct 26)
 Class 19 (TH Oct 28)
Class 20 (TU Nov 2)
Read Chapter 8: Ordinary Differential Equations;
Homework # 4 (TH Nov 16): Problems: Sec 1 (3), Sec 2 (6,12), Sec 3 (8,13), Sec4 (9,18), Sec 5 (5,9,18,20,21,24,35), Sec 6(3,18,22,25,34, Sec 7 (1,8,16), Sec 8 (3,28)


Class 21 (TH Nov 4)
Class 22 (TU Nov 9)
 Class 23 (TH Nov 11)
 Read Chapter 13 (Sec 1-4): Partial Differential Equations;
Homework # 5 (TU Nov 16):


Class 24 (TU Nov 16)
Class 25 (TH Nov 18)
 Read Chapter 15 (Sec 1-4): Integral Transform;
Homework # 6 (TU Nov 23):


MIDTERM #2 (TU Nov 23):


Class 26 (TU Nov 30)
Class 27 (TH Dec 2)
 Review in preparation of the final exam
FINAL EXAM (TU Dec 7)