University of California, Berkeley
Department of Mechanical Engineering
E27 Introduction to Manufacturing and Tolerancing
Fall 2015
Take-home midterm assignment
Issued October 18, 2015. Due Wednesday October 28, 2015 at 11:59pm on bCourses
You are welcome

Department of Mechanical Engineering
University of California, Berkeley
Engineering 27, Fall 2016: Introduction to Manufacturing and Tolerancing
Laboratory 5: Dimensional measurements of components
Measuring the physical dimensions of manufactured parts i

Department of Mechanical Engineering
University of California, Berkeley
Engineering 27, Fall 2016: Introduction to Manufacturing and Tolerancing
Laboratory 1: Reverse-engineering of manufactured products
Your lab 0 report was your pre-lab task for this la

University of California, Berkeley
Department of Mechanical Engineering
E 27 Introduction to Manufacturing and Tolerancing
Fall 2016
Homework 1
Subtractive manufacturing processes
Due: Wednesday Sept 21, 11.59pm on bCourses as a pdf (fine to handwrite & s

Department of Mechanical Engineering
University of California, Berkeley
Engineering 27, Fall 2016: Introduction to Manufacturing and Tolerancing
Laboratory 4: Stirling engine flywheel redesign for enhanced manufacturability
Pre-lab
A flywheel, such as tha

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Some of the default options for bCourses notifications might not be the best choice for you. For example, the Jacobs
Maker Pass course may send you email immediately every time new training slots are added to their system. If
youd

Math 54 Worksheet 8
1. Write down three distinct bases of P2 (note: order matters!). Now write down
three bases of P2 where no two of the bases contain the same vector.
The first part is silly: take for the first basis v1 = 1, v2 = t, v3 = t2 , for the se

Math 54 Worksheet 9
1 0
1. Find the eigenvalues and eigenvectors of the matrix A =
. Show that two
1 0
eigenvectors of A corresponding to distinct eigenvalues form a basis for R2 . What is the
matrix of A with respect to this basis?
The characteristic pol

Math 54, Worksheet 3
1. Subspaces of R2 :
(a) Let v1 , v2 R2 be column vectors. Show that Spancfw_v1 , v2 = R2 if and only if
v1 , v2 are linearly
independent.
a1
b
Write v1 =
, v2 = 1 . These vectors span if and only if we can write
a2
b2
c
R2 as

Math 54, Worksheet 4
1. Consider the following (homogeneous) linear system of equations:
x1 + 2x2 3x3 = 0
2x1 + x2 3x3 = 0
x1 + x2
= 0
(a) Find the matrix A so that the above linear system is equivalent to Ax = 0, where
x R3 .
1 2 3
A = 2 1 3
1 1 0
(b) Wr

Math 54 Worksheet 5
1
0
2
1. Consider the three vectors v1 = 2 , v2 = 3, and v3 = 5 in R3 .
2
4
16
3
Determine if they span R by row reducing a certain matrix. The determine if they are
linearly independent. If they are linearly dependent, find a depe

University of California, Berkeley
Department of Mechanical Engineering
E27 Introduction to Manufacturing and Tolerancing
Spring 2015
Final Examination
May 14, 2015
SOLUTIONS
Instructions
1. Please do not open this exam paper until invited to do so.
2. Th

University of California, Berkeley
Department of Mechanical Engineering
E27 Introduction to Manufacturing and Tolerancing
Spring 2015
Midterm quiz
March 11, 2015
SOLUTIONS
Instructions
1. Please do not open this quiz paper until invited to do so.
2. This

University of California, Berkeley
Department of Mechanical Engineering
E27 Introduction to Manufacturing and Tolerancing
Fall 2015
Final Examination
December 17, 2015
SOLUTIONS
Instructions
1.
2.
3.
4.
5.
6.
Please do not open this exam paper until invit

Department of Mechanical Engineering
University of California, Berkeley
Engineering 27, Fall 2016: Introduction to Manufacturing and Tolerancing
Laboratory 5: Dimensional measurements of components
Measuring the physical dimensions of manufactured parts i