PART 2 : FOURIER SERIES
Objective :
1. To show that any periodic function (or signal) can be represented as a series of sinusoidal (or complex exponentials) function. 2. To show and to study hot to approximate periodic functions using a finite number of sinusoidal function and run the simulation using MATLAB.

Scope :
In experiment 1, students need to learn using MATLAB by connect it with Fourier series, where students must know how the output changes as higher order terms are added. Students must know to plot the graph. Besides, students must know to add instruction in appropriate line to plot frequencies versus coefficient for each wave form.

Equipment :
MATLAB software.

Experiment 1 : Fourier Series
Generally, student must know the basic concept of Fourier series. General form :
[pic]
Where :
[pic]
[pic]
For example, x(t) with the highest harmonic value = 2.
[pic]

Task 1 : Simulate Using MATLAB
Procedure :

Table 1 shows coefficient for complex exponential fourier series of half rectified sine wave with A=1, T=1.

|Wave form |Fourier Coefficients | |Half-rectified sine wave: |[pic] |

Table 2-1 : Complex Exponential Fourier Series of Half-rectified Sine Wave.

Execute program in Listing 1 using 4 inputs : [2 8 20 100].
Listing 1 :
• Program to give partial complex exponential fourier sums of a half rectified sine wave of unit amplitude in table 2-1.

clear
clc
k_max = input (‘Enter vector of highest harmonic values desired (even only) >>’); num_kmax = length (k_max);
for z = 1 : num_kmax
k = [-k_max (z) : k_max (z)];
L_k = length (k);
a_k = zeros (1, L_k);% Form vector of fourier series coefficients, a_k ((L_k+1)/2+1) = -0.25*j;% all odd-terms are zero except A(1)...

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Learn more about osmosis and diffusion from Chapter 3 of your textbook.
CELERY EXPERIMENT
We can place celery in three different water solutions to observe the effects of osmosis on the celery stalks. Salt will serve as our solute to mix with water to make the water either hypotonic, hypertonic or isotonic.
The...

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1. What mineral composition is most characteristic of felsic rocks?
a. olivine, pyroxene, and calcium-rich plagioclase
b. orthoclase, quartz, and biotite
c. calcium-rich plagioclase and hornblende with some olivine
d. particles of volcanic ash welded together
2. What mineral composition is most characteristic of mafic rocks?
a. olivine, pyroxene, and calcium-rich plagioclase
b. orthoclase, quartz, and biotite
c. sodium-rich...

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IS3350 Lab #2
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1. Security is a tool to build privacy and privacy is result of that.
2. Yes, because they gave him permission to do it and he knows not to share it with anybody.
3. Identity theft, and embarrassment to the company are some possible consequences.
4. Yes, because they used HIPAA compliance information.
5. The company took the action to fired him.
6. Yes, if it happened at work the company would be...

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NaOH is a very corrosive chemical and contact with it can cause burns to body tissue and
possible eye damage. Can irriate the lungs and can cause permanent lung damage. also contact
with water can generate enought heat to ignite combustibles.
2. In your own words, briefly explain the terms below. Copied answers will receive zero points.
a. equilibrium state
When a chemical reaction is equal. when the products and reactients are at equal rates
b. the effect of...

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Water Temperature (°C) Temperature (°F) Temperature (K)
Hot from tap 42c 107.6f 315 k
Boiling 99 c 210.0 f 372 k
Boiling for 5 minutes 100 c 212 f 373 k
Cold from tap 18 c 64.4 f 291 k
Ice water – 1 minute 10 c 50 f 283 k
Ice water – 5 minutes 5 c 41 f 278 k
Data Table 3: Mass measurements
Object Estimated Mass (g) Actual Mass (g) Actual mass (kg)
Pen or pencil 5g 5.1 g .0051 kg
3 Pennies 9g 8.1 g .0081 kg
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ID : 11ADB01121
YEAR & SEMESTER : YEAR 1 SEMESTER 2
PARTNER’S NAME : KAREN AW KAI LUN
TOK WEE TAT
CHERYL LOW YI LIAN
CHEE MAO HAN
GROUP : GROUP 3
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...Experiment #
Title
Student Name:
Student Number:
Section Number: 0103
TA: Stephen Ho
Date the experiment were performed:
Date the lab report was submitted:
Introduction: (Ideally, one pages, maximum 2 pages)
* Background information (one paragraph)
* Purpose of the experiment (Should be stated in few sentences)
* Theory (One to two paragraph), including chemical reaction equation
Experimental:...