# Mathematical Methods for Engineers I

## General Class Information

Our main goal is to introduce the main concepts in linear algebra to engineering students. The course will cover complex numbers, systems of linear equations, their matrix form, the properties of matrices (including rank, inverse, determinant, eigenvalues and orthogonality). Finally, we will introduce the basic ideas of vector spaces (AMS10A students will not cover the last three areas: orthogonality with matrices, eigenvalues and vector spaces). All of these ideas will be taught in a context of applied problems and with frequent use of computational resources. In particular, students will get a gentle introduction to the use of the software MATLAB.

## Teaching Assistants:

#### Name: Ryan Moll

• Email: rmoll at soe.ucsc.edu
• Office: BE 356
• Office hours: Mon 5-6pm and Fri 11am-noon, in room BE 312 C/D

## Sections:

• Section AMS10 01A, JBE 109, Tues, 2:00-4:00pm
• Section AMS10 01B, JBE 109, Thurs, 2:00-4:00pm
• Section AMS10 01B, JBE 109,  Fri ,  9:00-11:00am

### MSI Sections:

There may be some Modified Supplemental Instruction (MSI) sections to support this class -- more news later

## Class Rules and Regulations

#### A brief summary:

• Required text: David Lay, 'Linear Algebra and Its Applications', Addison-Wesley
• Discussion sections are mandatory.
• There will be a very easy quiz in each discussion section
• There is one homework per week due on Fri during the lecture on the previous week's material
• There is one midterm
• There is one final
• AMS10: 10% homework, 10% quizzes, 30% midterm, 50% final
• AMS10A: 10% homework, 10% quizzes, 80% final (NO midterm)
• You must get 60% to pass including at least 60% in the final
• Maximise your chances: read the book, do homework and practice problems, go to section, tutorials, office hours
• AMS10A: You will stop after 6 weeks (Determinants is your last topic) and 6 homeworks, 6 quizzes etc etc.

## Resources you will need all the time:

• #### Homework

• Calendar of homework problems
Updated regularly to reflect what we actually did in lectures.
*** Check back often for correct list of HW problems ***

## Other Resources:

• #### MATLAB:

• Introduction to Matlab (PDF)
• Matlab Worksheet 1 (PDF)
• Matlab Worksheet 2 (PDF)
• #### USING MATLAB

• Using Matlab on-campus: Matlab is available around campus in the Instructional Computing labs.
• Using Matlab off-campus: You can connect to the server "campusrocks.soe.ucsc.edu" from off-campus using SSH (see this SOE page). This machine has Octave -- a Matlab emulater (see next item below).
• Matlab emulator - OCTAVE: This FREE software has most of the functionality of Matlab and is available from http://www.gnu.org/software/octave/. You can download this to you laptop or home machine and use it for free.
• Here are a couple of useful Matlab routines -- right click to download and save. Click on the files from within the Matlab file frame to load them:

## Latest News

• Dec 4th

• Nov 16th

!!! FRI NOV 16th WAS THE LAST CLASS FOR THE AMS10A CLASS !!!

• AMS10A students you are welcome to keep coming to class!
• Come back for your exam on the same day as everyone else (Mon 10th Dec, 12:00--3:00pm
• Hand in your homework for this week next Friday too (you can bring it to my office if you don't bring it to class)
• Nov 6th

The midterm solutions are HERE

• Oct 24th:

MIDTERM IS NEXT FRIDAY (FRI 2ND NOV)!

It is coming up soon.  Start reviewing all the work we have done up to the end of lecture 13 (Fri Oct 26th).

NO MIDTERM FOR AMS10A STUDENTS

Here is a PRACTICE MIDTERM.  The solutions to this practice midterm are here, but TRY AND DO IT WITHOUT THE SOLUTIONS FIRST!  Just looking at the solutions will not help you practice for the exam which is 30% of your grade, remember!

• Sept 28th :

Learning Support Services (LSS) offers many academic support programs to
academic discipline.