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.



Mon/Wed/Fri, 02:00-03:10pm, Oakes Academy 105 (click here to get a map)


Name: Nic Brummell

Teaching Assistants:

Name: Changhui Mao

Name: Ryan Moll 

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


  • 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
    • Grades:
      • 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:


Other Resources:


Latest News


  • Nov 16th    


  • 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:


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


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 :

  Here is some information I received about extra tutoring:

Learning Support Services (LSS) offers many academic support programs to
UCSC students.  One of these programs is course-specific tutoring that
is available to all UCSC students. Students meet in small groups (up to
4 people per group) led by a tutor. Students are eligible for up to 1
hour of tutoring per week per course, and may sign-up for tutoring at beginning October 9th at
10:00am. All of the tutors we hire are current UCSC students who have
previously taken the course, have received a B or above, and have been
recommended to be a tutor by a UCSC faculty member in the appropriate
academic discipline. 

Instructors and Assistants