Instructor: James Lin
Office: 7157 APM
email: jimlin@euclid.ucsd.edu
Office Hours: M 2:30-3:20, W 1:30-2:20
Course times: MWF 10-10:50am, Place: Center Hall 105
Sections: Thursdays 10,11,12,1 APM 2301
Lab: Tuesdays 10,11,12,1 Clics Lab in Galbraith Hall
TAs: Tony Shaheen APM2202 email: ashaheen@math.ucsd.edu Office Hours: Tues 2-4, Wed 11-12
Derek Newland APM2202 email: dnewland@math.ucsd.edu Office Hours: Wed 3-5, Th 9-10
After the second week, there is usually a calculus lab in APM 2402 that is open 6 hours a day where students can obtain help with problems. Click on http://math.ucsd.edu/frontdesk/roomschedule/2402.shtml for the schedule of lab hours.
Announcements:
1 The grades for Midterm 1 are
as follows: The numbers in parentheses
are the number of people who scored in that range. 55+ A (24), 45+ B (43),
35+ C (26), 25+ D (14), 25- F (12). .
Recall that to get a C without taking the final you had to average a C on the two midterms. This means you had to score over 110/190 points on the two midterms.
Text: Leon: Linear Algebra with Applications 6th edition and Atlast Computer Exercises for Linear Algebra
Prerequisites: Math 21C. Students should review their understanding of vectors, lines and planes, and orthogonality from 21C.
Course Description: Linear Algebra is a collection of ideas related to the solution of linear equations. With the advent of computers, linear algebra has become one of the most widely used subjects. There are applications to all the sciences as well as economics,and statistics. For example, engineers will need to understand the ideas of linear transformations and orthogonality to begin to use Fourier series. Biologists will benefit from diagonalizing matrices to consider iterated powers of matrices which can be used to study and predict survival rates of living organisms. Economics majors know that large databases are maintained in matrix form. All scientists gather data and the questions around correlation and error analysis and best studied using methods of linear algebra.
To have such wide application, the methods will need to be introduced in rather abstract forms. This may be the first time the student will be asked to actually prove an abstract theorem and then use it to draw conclusions about a practical problem. This requires the student to be able to consider abstract concepts and be conversant in a new language of mathematics. On a weekly basis, students will be required to make flash cards or summaries of various new terms. Half the battle of solving problems is understanding what the problem is asking.
When the student enters the work world, the theoretical concepts of linear algebra are used together with the computer to produce solutions. For this reason, this course has a MATLAB computer component. Our goal in introducing MATLAB is not to provide a complete course, but to give a sampling of applications so that when the student enters upper division courses, the transition to computer applications will be less painful.
I have found it useful to remind the student of the approximate workload of the course. This course moves at a faster pace than the other Math 20 or 21 courses. It will be impossible to pass this course unless you spend a minimum of 6 hours per week in doing homework and preparing for exams.
Goals of the Course: The homework will only involve small matrices, but in applications in upper division courses, the student will be expected to use these concepts together with MATLAB to make complex calculations in much larger matrices.
Mathematics is a participatory activity. The student should actively join in the lectures for maximum understanding. This means students will ask questions, talk with other students and debate the solutions and meanings of various problems. By the end of the course, the student should be able to communicate to a stranger the significance of linear algebra and how the student might find it useful to him or her personally.
Lectures will be used to explain various concepts. Students should also develop enough confidence so they can read the book on their own. It is very important that you read the assigned material in advance of the lecture. This exercise will train you to eventually be able to read math books on your own. The content of questions in class will not be used to evaluate or grade the student. Only the homework, midterms and final will be used for that purpose.
Grades: Grades for the course will be determined in the following way. The two midterms will be one hour and fifty minutes evening exams.
Written Homework 75 pts
Computer Homework 25 pts
Class Participation 10 pts
Midterm I (evening exam April 29) 65 pts
Midterm II (evening June 4) 125 pts
Total 300 points
Final exam June 10 (replaces the two midterms
If turned in. ) 190 points
To obtain a C grade, without taking the final, students will have to score on their midterms a score that is at least a C grade determined by the curve on the two midterms.
Class Participation: Your questions or comments provide valuable feedback about where the professor or TA can be of assistance. For this reason, a small portion of your grade is based on class participation. Questions should address specific issues that are not understood. For example, asking how to do problem 2 will not garner any partial credit. The student must offer what he/she tried and then ask what he/she does not understand. Both the TAs and the professor will be able to assign class participation points. If we are ahead of the syllabus, the professor usually answers questions during the first ten minutes of class. Students may also earn participation points by attending office hours. Participation points are not given by simply attending the class. Questions that enhance the learning environment of the class will be noted and class participation points allocated. Also volunteering to come to the board and do a problem will also earn class participation points.
Course Announcements- The student is expected to attend class on a regular basis or to consult other students regarding changes in the course. The professor is not responsible for students who do not attend class and miss announcements, assignments or midterms. On occasion, the professor will attempt to make announcements on the webpage(see http://math.ucsd.edu/, course websites), but he is not responsible for omissions that may occur on the web.
Midterms and Final: The Final is scheduled for Tuesday, June 10, 8-11am. Midterm 1 will be in Center Hall 115 on Tuesday, April 29, 6-8 pm. Midterm 2 will be in York 2722, June 4, 6-8 pm. All midterms and final will be taken using blue books, which can be purchased at the student store. Calculators will not be permitted during exams. The reason for this is that there is an enormous variation in calculator capabilities. Further, we will be testing primarily concepts with minor algebraic calculations.
Written Homework: The instructor will do a fair amount (about 15%) of the homework problems in class, so if the student takes reasonable notes, he/she should be able to use these solutions as samples of how to do the rest. As you can see, homework will count for one quarter of your grade. Even more important, the homework will correlate very strongly with the midterms and final. Finally, the results of the homework will often be used in later problems. So you need to keep track of the homework and be aware of what you have learned from it. In contrast to the previous Math 20 courses, there are many more new theorems and definitions and each one is useful in its own way. So I cannot emphasize enough the importance of spending time doing the homework. Students will also show flashcards or notes to the TA on a weekly basis. These notes should summarize the new terms and theorems that are introduced during that week’s lecture.
There will be weekly homework
assignments. We lack the funds to grade
your homework individually. Students
will be required to work in groups of
three. A group of 3 students will turn in one homework assignment for each
group. Students will work on homework
by themselves, writing up their proposed solutions, then get together for at
least one hour each week to discuss the solutions with other members of their
group. Selected problems from the homework will be graded depending on the
resources provided. Solutions will be available in Soft Reserves the day after
it is turned in. Students will find
a homework group in section on Thursday, April 3. It is the student’s responsibility to find a homework
group. We remark that in general,
homework grades are very high. In past
years, under this system, the average score has been over 90%.
Homework is due at the beginning of section on Thursdays. Homework must be turned in with 3 names appearing at the top of the homework. No individual homework will be accepted. Full solutions should be written out with answers boxed. Many of the assigned problems may already have numerical answers given in the back of the book. The answer in the back of the book will generally not be an acceptable answer on your homework. The homework must show how one arrives at the numerical answer to obtain any credit.
Computer Homework-In addition, there will be homework that must be done using the computer language MATLAB. MATLAB assignments will be announced on a weekly basis. Questions regarding the MATLAB assignments should be directed to the TAs. At times, the lab may become impacted. Students who have home computers may want to purchase their own copy of the MATLAB software so they can do the homework at home. The TA will collect and grade your matlab homework.
Syllabus- I will try
to be roughly one week ahead of the syllabus so that we will have time to
review these concepts before each midterm.
Students should read one week ahead.
Week 1 Sections 1.1-1.3
Week 2 Sections 1.4, 1.5
Week 3 Sections 2.1,2.2, 3.1,
3.2,
Week 4 Sections 3.3, 3.4
Week 5 Sections 3.5, 3.6
Midterm April 29 evening
Week 6 Sections 4.1, 4.2, 4.3
Week 7 Sections 6.1,6.2,6.3
Week 8 Sections 5.1, 5.2, 5.3
Week 9 Sections 5.4, 5.5, 5.6,
Week 10 Review Midterm June 4 evening
Final Exam Tuesday, June 10, 8-11 am
Written Homework- Homework will be turned in at the
beginning of section. Homework must be
turned in in groups of three. No
individual homework will be accepted.
No late homework is accepted.
Also each week either show the TA flash cards you have made or a written
summary of all the new terms described in the sections pertaining to the
homework. The TA will check your name
off, when you show him the cards or notes.
Week 1 Section 1.2 #1, 2, 3e,f, 4, 5 e,g,h 6a,b, 9,12,17
Section 1.3 #1 a,b,d,h, 2, 3, 6, 9,13, 14, 16,17,21,24,25
Week 2 Section 1.4 #1,2,3,5,6,7, 9a,b,c,d,11, 12,14,18,19,20
Section 1.5 #1,5b,11,15
Look at the chapter test and discuss the questions in your homework group. However, you do not need to turn them in. They are, however, an excellent study tool.
Week 3 Section 2.1 #1,2,3a,b,c,d,e,g,5,6,9
Section 2.2 #1,2,3,4, 5,6,7,8
Section 3.1 #1,5,8,10
Section 3.2 # 2,4, 5,9a,c, 10b,d,e
Week 4 Section 3.3 #1, 2,3, 4a, 6a,b,11,12,13,14
Section 3.4 #1,2a,e,3,4,5, 8,10
Week 5 Section 3.5 #1,2,3,4,5,6,7,8
Section 3.6 #1b,c, 4, 5, 6, 7,8,13,16
Look at the chapter test and discuss the questions in your homework group. You do not need to turn them in. They are, however, an excellent study tool. Some are quite challenging.
Week 6 Section 4.1 #1, 2,3,4, 5,6,10
Section 4.2 #1,2, 3,4,5,6,10,13
Section 4.3 #1,2, 3,4, 8
Look at the chapter test and discuss the questions in your homework group. You do not need to turn them in. They are, however, an excellent study tool. Some are quite challenging
Week 7 Section 6.1 #1a,b,c,d,e,f,g,j,2, 3, 4,6,7,15,16
Section 6.2 #1c,d,e, 2 a,b, 4,5
Section 6.3 #1c,d,e,2c,d,e,3c,d,e,4a, 19
Week 8 Section 5.1 #1, 3, 4,13
Section 5.2 #1b,c, 2, 3,4, 6,9, 11
Section 5.4 #1, 2, 7
Week 9 Section 5.3 # 2,3,4,5,
Section 5.5 #1, 2, 3,5,6,11(hint: take transpose of formula b, page 274),12
Section 5.6 #1, 2, 3, 5
20 F CONTRACT WITH STUDENT
I agree to the following conditions to take the 20F course
1. I agree to work on my homework individually, to do it all to the best of my ability and then to meet at least once a week in a group of three students for a minimum of one hour to discuss our solutions. From this meeting, we will compile a common homework solution set to be turned in with 3 names on it. No individual homework will be accepted. Also no late homework will be accepted.
2. I have checked the dates of the exams and have determined that I will be able to take the exams at the prescribed dates. I understand that there will be no makeup exams or homework in this course.
3. I understand that to succeed in this course, I will have to commit to at least 6 hours per week of individual study outside of class. I realize that to write up the weekly assignments, I will have to commit at least this amount of time.
4. I agree to ask questions about concepts that I do not understand. I will not wait for the instructor to guess what I do not understand. I agree to verbalize any complaints to someone who can be of assistance with my complaint. To obtain class participation points, I agree to either come to office hours, ask informative questions in class or volunteer to present a problem on the board.
.
Here are the names of the people in my homework group along with their student ID numbers
________________________________________
_________________________________________
_________________________________________
_________________________________________
________________________________ ______________________
Signature, Student ID# date