MA 322

 Matrix Algebra, Spring 2016

Section 002

MWF 10:00 -10:50 CB 347

1 Instructor

Richard Carey

Office: POT 965

E-Mail richard.carey@.uky.edu

Phone: (859) 257-3745

Office Hours: MW 03:30-05:30 and by appt.

2 Course Goals

The course is an introduction to the study of simultaneous linear equations in several variables. For example, the description of the tangent space to an n-dimensional surface sitting in n + r  - dimensional Euclidean space is recognized as an n-dimensional vector subspace. A handy overview is presented in Linear algebra-Wikipedia. 
  Recall that in Calculus 3 one started with the coordinatization of three dimensional space via Cartesian coordinates; then began the algebraization of geometry with the introduction of vectors - directed line segments. Geometric operations on line segments were interpreted as algebraic operations on vectors to give an algebra for vectors in both the plane and three dimensional spaces. Not only does this include addition and multiplication by scalar quantities, it also provides two different types of multiplication - the dot and cross products. These products are geometrically defined and Calculus 3 spent some time applying vector algebra to the geometry of three dimensions. Now we begin a more unified theory which allows us to go to dimensions higher than 3.You shall see how  matrix algebra  is used to calculate with functions of more than one variable - a version of higher order arithmetic. For example, the derivative of a function from the plane to 3-space is properly regarded as a linear transformation which can be represented by a 3 by 2 matrix. Matrices can  be added, subtracted,  multiplied by scalars; compatible matrices may also be multiplied and so there is an algebra of matrices.

3 Text

Linear Algebra and Its Applications, Fifth Edition | 9780321982384

ISBN-13:  9780321982384  

Author(s): David C. Lay; Steven R. Lay; Judi J. Mcdonald

4 Grading

Your grade for the course will be based on two exams during the semester, a final exam, weekly homework  and quizzes.  Each of the four components will count toward your grade. The term exams will count 100 pts each and the final 130 pts. HW and Quizzes count 100 pts.each.  The final exam is at 10:30 am in CB 347. on Thursday, May 5, 2016.

5 Quizzes: (100 points)  There will be weekly  in- class quiz problems. I will give a selection of these problems prior to the time of the quiz.Your course score will be the sum of your test, homework, and quiz scores.

6  Attendance Policy:

Grading for the course will be influenced by class attendance.  You

will be allowed 4 unexcused absences; for every missed class after that you will lose 5 points on your final grade (that is half a letter grade). Roll will begin anon.

Students are expected to attend each class meeting unless he or she has been excused by the instructor. Failure to attend class will result in a lower grade, and may result in failing the class. Absences due to illness or emergencies must be reported within a week. You may call the instructor’s office or email him at the numbers/address listed on the first page of this syllabus. When there is an excused absence, students will be given the opportunity to make up missed work and/or exams.

The following are typically accepted reasons for excused absences:

1. Serious illness.

2. Illness or death of a family member.

3. Approved University-related trips.

4. Major religious holidays.

5. Other circumstances found to be "reasonable cause for nonattendance.”

It is important to take each exam on schedule. Missed work may be made up only due to illness with  medical documentation or for other unusual (documented) circumstances. Students who have university excused absences or who have university-scheduled class conflicts with uniform examinations may arrange  with their instructor to take the exam at an alternate time. Work-related conflicts are neither university excused absences or university-scheduled absences. If you miss an exam, you receive a zero. You will be  eligible for a make-up only if you present a valid excuse to me before the exam. If you cannot find a reasonable arrangement for a make-up, contact the department DUS Serge Ochanine. Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays no later than the last day for

adding a class. Information regarding dates of major religious holidays may be obtained through the the religious liaison.

Calculus II, Fall 2017

MA 114-009,010,011,012

MWF 2-2:50, CB 114

1 Lecture Instructor

Professor Carey 

Office address:   965 POT

E-mail:  richard.carey@uky.edu

Phone : (859) - 257-3745 

Office Hours; MW 03:15-04:15 and by appt. 

  

Recitation Instructors:  
sections 009 and 011

J. Cummings:   section 009 meets TR 2:00-3:15 in FB 213 and section 011 TR 3:30-4:45 in FB 213

E-mail:   josephcummings03@gmail.com
Office address:   806 POT
Office Hours; M 3:30-4:30, T 2-3 in 806 POT; W 3-4 Mathskeller (CB 63) & by appt.

 sections 010 and 0112
 Vasily Zadorozhnyy: section 010 meets TR 2:00-3:15 in CB 237 and section 012 TR 3:30-4:45 in CB 341

E-mail:   josephcummings03@gmail.com
 Office address:   902 POT
Office Hours; w 8-9 in 902 POT; TR 9-10 Mathskeller (CB 63)

                  
 For information on course policy consult the common web page at http://www.ms.uky.edu/~/ma114

Recitation instructors will provide additional detail, office hours, work sheet structure, etc.

Cheating: Cheating will not be tolerated, and you are responsible for knowing University policy on cheating. The University’s minimum policy for cheating is failure in the course. (Yes, the chair of the department does spend time each semester prosecuting students who thought they’d never get caught!) Cheating can lead to expulsion from the university. For a complete description of University policies on excused absences, cheating, and student responsibilities see UK's New Academic Offenses Policy can be found at

http://www.chem.uky.edu/research/grossman/acadoffenses/index.htm

For instance, Senate Rule 6.4.11 states:

The minimum penalty for an academic offense is an E in the course in which the

offense took place. The repeat option may not be used to remove an E given for

an academic offense. If a prior academic offense has been recorded in the

Registrar’s Office, the minimum penalty shall be suspension for one semester (or

a minimum of four months in those colleges in the Medical Center where the

semester system is not in use. Penalties more severe than the minimum may be

imposed where warranted by the circumstances.

Our class is a cell phone-free zone.  Cell phones and laptops and other electronic devices are to be off and out of sight for the entire class period.

There is an official procedure for dropping a course.  You haven't withdrawn if you simply quit attending. Consult the academic calendar for detail.

Advanced Calculus II

MA 472G 001

Advanced Calculus II

Spring 2015

Instructor: Prof. Richard Carey

MWF 1100 - 1150 CB 347

Office POT 965

Office Hours: MWF 0300 - 0500 & by appt. Phone 257-3745

E-MAIL: Richard.carey@.uky.edu

Text: Advanced Calculus 3^h ed., 1978 by R. Creighton Buck & Ellen F. Buck

References:

Principles of Mathematical Analysis 3^h ed., 1976 by Walter Rudin

Elementary Differential Geometry, Revised second edition, 2006 by Barrett O’Neil [From the preface: "This book is an elementary account of the geometry of curves and surfaces. It is written for students who have completed standard courses in calculus and linear algebra, and its aim is to introduce some of the main ideas of differential geometry.] [

Differential Forms with Applications to the Physical Sciences, 1989 by Harley Flanders [A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Directed primarily to graduate-level engineers and physical scientists, it has also been used successfully to introduce modern differential geometry to graduate students in mathematics].

Prerequisites: For Ma 471G one needs MA 214 and Ma 322; for Ma 472G one needs Ma 471G or consent of instructor.

Background- Ma 471G :  It is assumed that the students have learned to use elementary calculus, but are not experienced in the techniques of proof and rigorous reasoning. After the elementary calculus sequence the advanced calculus usually provides the student's first experience with an abstract mathematical course.

Background- Ma 472G This course is a continuation of Ma 471G. The following topics will be discussed: implicit function theorem, inverse function theorem, multiple integrals, change of variables formula, vector analysis, line and surface integral. The geometry of curves and surfaces in R^3, which is a kind of extrinsic geometry.  [The intrinsic geometry of a surface is seen by its inhabitants, with no assumption that the surface can be found in ordinary three-dimensional space. This form is studied in more advanced courses.]  Various versions of the fundamental theorem of calculus: Green's Theorem, The divergence theorem, and Stokes' theorem.

Chapter 6 Uniform Convergence (of functions)

Chapter 7 Differentiation of transformations

Chapter 8 Applications to geometry and analysis

Chapter 9 Differential geometry and vector calculus

Grading: Your grade will be calculated from the following distribution of points:

Oral Presentations: (100 points)  Everyone will be expected to present some problem in class. These presentations need to be both clear and concise. Further, the rest of the class is responsible for monitoring the presentation for accuracy. Details regarding the oral presentations will be provided on a separate handout.

Homework problems: (100 points) From time to time I will ask for solutions to a particular homework problem to be submitted. Your solution will be graded on the basis of accuracy, exposition and neatness. Preparation of problems for presentation must be your own, and submission of written homework problems must also be done on an individual basis.

Exams: There will be three take-home exams given in this course: two term exams and a final. The grading scale for the first two exams will be as follows:

90-100 A

80-89 B

70-79 C

60-69 D

below 60 E

The grading scale for the final exam will be as follows

117-130 A

104-136 B

91-103 C

78-90 D

below  78 E

Your course score will be the sum of your test, homework, and presentation scores.

The grading scale for the course will be as follows:

Cumulative score grade

424-476 B
371-423 C
318-370 D
below 318 E

Exam, Quiz and Attendance Policy:

Students are expected to attend each class meeting unless he or she has been excused by the instructor.

Failure to attend class will result in a lower grade, and may result in failing the class. Absences due to

illness or emergencies must be reported within a week. You may call the instructor’s office or email him at

the numbers/address listed on the first page of this syllabus. When there is an excused absence,

students will be given the opportunity to make up missed work and/or exams.

The following are typically accepted reasons for excused absences:

1. Serious illness.

2. Illness or death of a family member.

3. Approved University-related trips.

4. Major religious holidays.

5. Other circumstances found to be "reasonable cause for nonattendance.”

It is very important to take each exam on schedule. Missed work may be made up only due to illness with medical documentation or for other unusual (documented) circumstances. Students who have university excused absences or who have university-scheduled class conflicts with uniform examinations may arrange with their instructor to take the exam at an alternate time. Work-related conflicts are neither university excused absences or university-scheduled absences. If you miss an exam, you receive a zero. You will be eligible for a make-up only if you present a valid excuse to me before the exam. If you cannot find a reasonable arrangement for a make-up, contact the department DUS Serge Ochanine.

Students anticipating an absence for a major religious holiday are responsible for notifying the instructor

in writing of anticipated absences due to their observance of such holidays no later than the last day for

adding a class. Information regarding dates of major religious holidays may be obtained through the the

religious liaison, Mr. Jake Karnes (257-2754).

Unexcused Absences

A student who has unexcused absences in excess of five 2 -hour classes will receive a failing grade for

the course without regard or points earned through completed assignments.

No make-up opportunities will be given for unexcused absences.

Make-up exam

Students are expected to take exam at the times scheduled in the syllabus. Possible exceptions include

verified serious illness, serious family emergency, subpoenas, jury duty, military service, religious

observances, or a legitimate conflict with recognized University activities. If these apply, you must contact

instructors to request a makeup. Make these arrangements as soon as you know of the conflict BEFORE

the exam. No make-up for assignment is allowed.

Incompletes :

An incomplete grade due to illness or other emergencies may be arranged. A request for an incomplete

due to illness must be accompanied by a letter from your doctor, the Student Health Service, or a

hospital. Lack of time to complete assigned work, or other reasons not relating to unavoidable excused

absences, will not be accepted as a valid reason for petitioning for an incomplete. No incompletes will be

given unless you have a prior written agreement with the instructor BEFORE the end of classes.

Cheating: Cheating will not be tolerated, and you are responsible for knowing University policy on cheating. The University’s minimum policy for cheating is failure in the course. (Yes, the chair of the department does spend time each semester prosecuting students who thought they’d never get caught!) Cheating can lead to expulsion from the university. For a complete description of University policies on excused absences, cheating, and student responsibilities see UK's New Academic Offenses Policy can be found at

http://www.chem.uky.edu/research/grossman/acadoffenses/index.htm

For instance, Senate Rule 6.4.11 states:

The minimum penalty for an academic offense is an E in the course in which the offense took place. The repeat option may not be used to remove an E given for an academic offense. If a prior academic offense has been recorded in the Registrar’s Office, the minimum penalty shall be suspension for one semester (or a minimum of four months in those colleges in the Medical Center where the semester system is not in use. Penalties more severe than the minimum may be imposed where warranted by the circumstances.

Our class is a cell phone-free zone. Cell phones must be off & out of sight for the entire class period.

Important Dates

January 14 (Wed.).................................................................... First day of classes

January 19 (Mon.) .........................................No classes – Martin Luther King Day

January 21 (Wed.) ................................................................Last day to add a class

February 4 (Wed.)………………………….Last day to drop a class without a grade

March 9 (Mon.)…………………………………….........................................Midterm

March 16-21 (Mon. –Sat.) ………........................... …No classes - Spring vacation

April 10 (Fri.)……………….. ................................Last day to withdraw from a class

May1 (Fri.) …………………………………… …................... Last day of classes

May 4-8 ……………….... ……………………………………….Final examinations

May 6 (Wed.) 10:30-12:30 ……………………………………….Final examination