Question # 1 (Vector)
Find the vector directed from (2,
-5, 2) toward (14, -5, 3).
Solution
Get the distance between the points by
subtracting point B to point A
A > B=( Bx Ax ) ax+ ( By Ay ) ay+ ( Bz Az ) az
( 142 ) ax+ (5+5 ) ay +(3+2)az
12 ax+5 az
Ma
Problem Set #1:
A=10 ar +5 sin a
1. Given
, find
( 2+cos )
Ans.
( 10r )
2
A=r arr cot a , find
2. Given
A
A
Ans. 3r
a b ,
3. In the region
D= o
And for r>a,
the
D=
2
)
in all three regions.
0, o , 0
Ans.
4. In
v
D=0 . Find the
(
2
r a
ar
2r
region
a
( 2
1.
Given :
A=4 a y + 10 az
B=2 a x +3 a y
The Scalar projection of A on B, is the dot product of vector A and the unit vector of B which is the vector
that will be projected on.
projB A=
AB
|B|
First get the unit vector of B
a B=
Bx+ By+ Bz
Bx 2+ By 2+ B
Problem Set #1:
A=4 a y + 10 az
1. Given
and
B=2 a x +3 a y ,
find the projection of A on B.
Ans. 12 13
2. Given
A=(10 2)(a x +a z ) and
B=3 ( a y + a z )
, express the projection of B on A
as the direction of A.
1.50 ( a x + az )
Ans.
3. Find the angle b
Name: _
Section/Course: _
Date: _
Section: _
ASSIGNMENT #
1. Given points A( =6, =80 , z=2
and A( =2, =30 , z=2 , find (a) a
unit vector in Cartesian coordinates at A directed towards B; (b) a unit vector in
cylindrical coordinates at A directed toward B
Question # 31 (DIVERGENCE THEOREM)
3
A cube of volume a has its faces parallel to the Cartesian
coordinate surfaces. It is centered at P(3, -2, 4). Given the field
D=2 x 2 a x C / m2
: (a) calculate div D at P; (b) evaluate
A dS
lim
v>0
a=1m, 0,1 m and
Signals, Spectra and Signal Processing
Name:_
Rating:_
Date Performed: _
Date Submitted: _
Signals, Spectra and Signal Processing
ANALOG-TO-DIGITAL AND DIGITAL-TO ANALOG CONVERSION
Activity No. 4
I. INTENDED LEARNING OUTCOMES
1. Understand the process of
Experiment No. 05
DESIGN OF CASCADE COMPENSATORS USING ROOT LOCUS
TECHNIQUES: PID CONTROL
1. Objective(s):
This activity aims to
1. demonstrate the operation of proportional-integral (PI), proportionalderivative (PD) and proportional-integral-derivative (
Experiment No. 04
ROOT LOCUS ANALYSIS OF SYSTEMS
1. Objective(s):
This activity aims to equip the students with the skills and knowledge in
analyzing control systems using the root locus approach.
2. Intended Learning Outcomes (ILOs):
At the end of this a
1.2 The LabVIEW environment
I. Objective
to identify parts of and navigate through the LabVIEW environment.
II. Drill Problems 1.2
1. What are the main windows that pop out when a blank VI is opened? What tasks can you
do with each one?
The main windows t
Technological Institute of the Philippines
1338 Arlegui St. Quiapo, Manila
ECE 100
Activity No. 1
BASIC LABVIEW CONCEPTS
Submitted by:
Barua, Nikaila Mey C.
Submitted to:
Marjorie B. Villanueva, ECE
Date Submitted
June 30, 2016
BASIC LABVIEW CONCEPTS
At t
SN GN MI
_
Date of Submission:
_
Activity No. 3 Ten (10) solved
problems dealing with
differentiation and integration
0
1
e. Generalization:
0
2
a. Statement of the Problem:
a. Statement of the Problem:
b. Given:
c. Required:
b. Given:
d. Solution:
c. Req
Technological Institute of the Philippines
1338 Arlegui St., Quiapo, Manila
College of Engineering and Architecture
Electronics Department
Experiment #2
Introduction to MATLAB (Part I)
2x2 box
Submitted by:
Bobis, Daniel D.
Submitted to:
Engr. Mark Nelson
Technological Institute of the Philippines
1338 Arlegui St., Quiapo, Manila
College of Engineering and Architecture
Electronics Department
Experiment #1
Getting Familiar with LabView (Part I)
2x2 box
Submitted by:
Bobis, Daniel D.
Submitted to:
Engr. Mark
Technological Institute of the
Philippines
Electrical Engineering Department
Electrical Circuits I
Laboratory Experiment 1
Components, Equipment and Symbols
Score
Leaders Name (LN, FN, MI)
Group Members (LN, FN, MI)
Amihan, Mariaubrey D.
Bataan, Jeremy Ca
EE 003 Electrical Circuits 2 Course Policy
This course policy is designed to help achieve the intended learning outcomes (ILOs) for this course. This
serves as the guidelines for students to maximize their learnings all throughout the semester.
Course Man
T I P - V P A A - 0 0 1
Revision Status/Date: 3/2016
Oct.28
TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES
COURSE SYLLABUS
COURSE CODE
COURSE NAME
CREDITS
CONTACT HOURS
EE 002
ELECTRICAL CIRCUITS 1
4 units (3 units lecture, 1 unit laboratory)
3 hours lecture,
TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES
RUBRIC FOR MODERN TOOL USAGE
(Engineering Programs)
Student Outcome (e): Use the techniques, skills, and modern engineering tools necessary for engineering practice
in complex engineering activities.
Program:
_
P
Technological Institute of the Philippines
1338 Arlegui St., Quiapo, Manila
College of Engineering and Architecture
Electronics Department
Experiment #1
Getting Familiar with LabView (Part I)
2x2 box
Submitted by:
Bobis, Daniel D.
Submitted to:
Engr. Mark
Technological Institute of the Philippines
1338 Arlegui St., Quiapo, Manila
College of Engineering and Architecture
Electronics Department
Experiment #
Title
2x2 box
Submitted by:
Submitted to:
Engr. Mark Nelson E. Pangilinan
Date:
I. Intended Learning Ou
Technological Institute of the Philippines
938 Aurora Boulevard, Cubao, Quezon City 1109
College of Engineering and Architecture
Department of Electronics and Communication Engineering
Activity No. 02
Title:
Temperature Detector
Submitted by:
Jayona, Arnu
FEEDBACK AND CONTROL SYSTEMS
NAME: Mendoza, Anjoe L
DATE: June 27, 2017
COURSE/SECTION:
ECE006 /
RATING:
EC42FC1
EXERCISE NO. 1
INTRODUCTION TO MATLAB (PART 1)
INTRODUCTION:
The purpose of this exercise is to introduce MATLAB to students, its basic
comman
Course Code: MATH 014
Student Number:
Name:
Activity No.: 2
Section: EC21FA1
Date Performed: July 04, 2017
Date Submitted:
Instructor: Engr. Simon Santiago
Activity No. 02
BUILT - IN FUNCTIONS IN MATLAB
6. Data and Results:
Q2.02a What do these functions
Feedback and Control Systems
Name:_
Date Performed: _
Rating:_
Date Submitted: _
Feedback and Control Systems
SYSTEM MODELING AND SIMULATION
Activity No. 1
I. ACTIVITY OBJECTIVES
This activity aims to
1. introduce the modeling and simulation tools of MATL
A WINNER knows how much he
has to LEARN,
even when he is considered an
EXPERT by
others.
A LOSER wants to be considered
an EXPERT by others before he
has learned enough to
know how LITTLE he knows.
CHEMISTRY
- From egyptian kme, meaning earth
- the scienc
THE TRANSFER FUNCTION
Linear, time-invariant differential equation:
Example:
Find the transfer function represented by
Examples:
1. Find the transfer function corresponding to
the differential equation
2. Find the differential equation
corresponding to t