holy angel university

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HOLY ANGEL UNIVERSITY College of Engineering & Architecture

Department of Computer Engineering

University Vision, Mission, Goals and Objectives:

Mission Statement (VMG)

We, the academic community of Holy Angel University, declare ourselves to be a Catholic University. We dedicate ourselves to our core purpose, which is to provide accessible quality education that transforms students into persons of conscience, competence, and compassion. We commit ourselves to our vision of the University as a role-model catalyst for countryside development and one of the most influential, best managed Catholic universities in the Asia-Pacific region. We will be guided by our core values of Christ-centeredness, integrity, excellence, community, and societal responsibility. All these we shall do for the greater glory of God. LAUS DEO SEMPER!

College Vision, Goals and Objectives:

Vision

A center of excellence in engineering and architecture education imbued with Catholic mission and identity serving as a role-model catalyst for countryside development

Mission

To provide accessible quality engineering and architecture education leading to the development of conscientious, competent and

compassionate professionals who continually contribute to the advancement of technology, preserve the environment, and improve life for countryside development.

Goals

The College of Engineering and Architecture is known for its curricular programs and services, research undertakings, and community involvement that are geared to produce competitive graduates:

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- who are equipped with high impact educational practices for global employability and technopreneurial opportunities;

- whose performance in national licensure examinations and certifications is consistently above national passing rates and that falls within the 75^th to 90^th percentile ranks; and,

- who qualify for international licensure examinations, certifications, and professional recognitions;

Objectives

In its pursuit for academic excellence and to become an authentic instrument for countryside development, the College of Engineering and Architecture aims to achieve the following objectives:

1. To provide students with fundamental knowledge and skills in the technical and social disciplines so that they may develop a sound perspective for competent engineering and architecture practice;

2. To inculcate in the students the values and discipline necessary in developing them into socially responsible and globally competitive professionals;

3. To instill in the students a sense of social commitment through involvement in meaningful community projects and services;

4. To promote the development of a sustainable environment and the improvement of the quality of life by designing technology solutions beneficial to a dynamic world;

5. To adopt a faculty development program that is responsive to the continuing development and engagement of faculty in research, technopreneurship, community service and professional development activities both in the local and international context;

6. To implement a facility development program that promotes a continuing acquisition of state of the art facilities that are at par with leading engineering and architecture schools in the Asia Pacific region; and,

7. To sustain a strong partnership and linkage with institutions, industries, and professional organizations in both national and international levels.

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Relationship of the Program Educational Objectives to the Vision-Mission of the University and the College of Engineering & Architecture:

Computer Engineering Program Educational Outcomes (PEOs):

Within a few years after graduation, our graduates of the Computer Engineering program are expected to have:

Vision-Mission

Christ-

Centeredness Integrity Excellence Community Societal

Responsibility

1. Practiced their profession     

2. Shown a commitment to life-long learning     

3. Manifested faithful stewardship     

Relationship of the Computer Engineering Program Outcomes to the Program Educational Objectives:

Computer Engineering Student Outcomes (SOs):

At the time of graduation, BS Computer Engineering program graduates should be able to:

PEOs

1 2 3

a) Apply knowledge of mathematics, physical sciences, and engineering sciences to the practice of Computer

Engineering.   

b) Design and conduct experiments, as well as to analyze and interpret data   

c) Design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability, in accordance with standards

  

d) Function on multidisciplinary teams   

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e) Identify, formulate and solve engineering problems   

f) Have an understanding of professional and ethical responsibility   

g) Demonstrate and master the ability to listen, comprehend, speak, write and convey ideas clearly and effectively, in

person and through electronic media to all audiences.   

h) Have broad education necessary to understand the impact of engineering solutions in a global, economic,

environmental, and societal context   

i) Recognition of the need for, and an ability to engage in life-long learning and to keep current of the development

in the field   

j) Have knowledge of contemporary issues   

k) Use the techniques, skills, and modern engineering tools necessary for engineering practice.   

l) Have knowledge and understanding of engineering and management principles as a member and leader in a

team, to manage projects and in multidisciplinary environments.   

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COURSE SYLLABUS

Course Title: Advance Engineering Mathematics with Numerical Methods Course Code: ADVMATHNU

Course Credit: 4 Units Year Level: 3^rd Year

Pre-requisites: Differential Equations Course Calendar:

2^nd Semester Course Description:

A study of selected topics in mathematics and their applications in advanced courses in engineering and other allied sciences. It covers the study of Complex numbers and complex variables, Laplace and Inverse Laplace Transforms, Power series, Fourier series, Fourier Transforms, z-transforms, power series solution of ordinary differential equations, and partial differential equations.

Course Outcomes (COs):

After completing this course, the students should be able to:

Relationship to the Program Outcomes:

a b c d e f g h i j k l

1) To familiarize the different parameters, laws, theorems and the

different methods of solutions in advance mathematics. I E E

2) To develop their abilities on how to apply the different laws, methods

and theorems particularly in complex problems. E E E

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COURSE ORGANIZATION

Time

Frame Hours Course

Outcomes Course Outline

Teaching & Learning

Activities Assessment Tools

Resources Week

1-3

12 CO1

CO2

A. COMPLEX VARIABLES

 Complex Numbers

 Finding Roots

 The Derivative in the Complex Plane: The Cauchy-Riemann Equations

 Line Integrals

 The Cauchy-Goursat Theorem

 Cauchy’s Integral Formula

 Taylor and Laurent Expansions and Singularities

 Theory of Residues

 Evaluation of Real Definite Integrals

 Cauchy’s Principal Value Integral Library Activity

 Laplace

 Inverse Laplace Transform

 Lecture

 Multimedia instruction

 Small group activities on using Complex Variables

 Small group discussion on real- life applications of Complex Variables

 Class discussion

 Questioning

 Library work:

Laplace and Inverse Laplace Transform

Seatwork Recitation

Direct observation Board Work Group work Quiz

A[1], A[2], A[3], A[5], B[1], B[2], B[3], B[4], B[5]

Week 4-6

12

CO1 CO2

B. THE LAPLACE TRANSFORM

 Definition and Elementary Properties

 The Heaviside Step and Dirac Delta Functions

 Some Useful Theorems

 The Laplace Transform of a Periodic Function

 Inversion by Partial Fractions: Heaviside’s Expansion Theorem

 Lecture

 Small group activities on using Laplace Transform

 Small group discussion on real-

Seatwork Classroom assignment Recitation

A[2], A[4], A[5], B[3], B[5]

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 Convolution

 Integral Equations

 Solution of Linear Differential Equations with Constant Coefficients

 Transfer Functions, Green’s Function, and Indicial Admittance

 Inversion by Contour Integration Library Activity:

 The Z-Transform

life applications of Laplace Transform

 Questioning

 Library work: The Z-Transform

Written examination

PRELIM EXAMINATION Week

7-9

12 CO1

CO2

C. THE Z-TRANSFORM

 The Relationship of the Z-Transform to the Laplace Transform

 Inverse Z-Transforms

 Solution of Differential Equations

 Stability of Discrete-Time Systems Library Activity:

 Power Series Solution of Differential Equations

 Lecture

 Small group activities in using the Z-Transform

 Small group discussion on real- life applications of the Z-Transform

 Questioning

 Library work:

Power Series Solution of Differential Equations

A[2], A[5], B[3]

Week 10-12

12 CO1

CO2

D. POWER SERIES SOLUTION OF DIFFERENTIAL EQUATIONS

 Lecture

 Multimedia

Seatwork Classroom

A[4], B[3]

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 Power Series Solutions

 Equations with Analytic Functions

 Dealing with Singular Points

 Bessel Functions

 Legendre Polynomials

Library Activity

 Fourier Series

instruction

 Small group activities

 Questioning

 Library Work: The Fourier Seris

assignment Recitation

Written examination

MIDTERM EXAMINATION Week

13-15

12 CO1

CO2

E. THE FOURIER SERIES

 Fourier Series

 Properties of Fourier Series

 Half-Range Expansions

 Fourier Series with Phase Angles

 Complex Fourier Series

 The Use of Fourier Series in the Solution of Ordinary Differential Equations

Library Activity:

 The Fourier Transforms

 Lecture

 Small group activities on using the Fourier Series

 Small group discussion on real- life applications of the Fourier Series

 Questioning

 Library work: The Fourier Transforms

A[2], A[5], B[1], B[4], B[5]

Week 16-17

12 CO1

CO2

F. THE FOURIER TRANSFORMS

 Fourier Transforms

 Fourier Transforms Containing the Delta Function

 Lecture

 Small group activities on using

Direct observation

A[2], A[4], A[5], B[3], B[5]

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 Properties of Fourier Transforms

 Inversion of Fourier Transforms

 Convolution

 Solution of Ordinary Differential Equations by Fourier Transforms

the Fourier Transforms

 Small group discussion on real- life application in

 Questioning

 Library Work:

Partial Differential Equations

Board Work Group work Quiz

Week 18

4 CO1

CO2

G. PARTIAL DIFFERENTIAL EQUATIONS

 The Wave Equation

 The Heat Equation

 The Potential Equation

 Lecture

 Small group activities on real- life applications of Partial Differential Equations

 Questioning

 Small group discussion on the concepts and theories of Advance

Mathematics with Numerical Methods

Seatwork Recitation

Direct observation Board Work Group work

Written examination

A[1], A[2], A[4], A[5], B[2], B[3], B[4]

FINAL EXAMINATION

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Course References:

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A. Basic Readings

1) Chapman, S. J. (2013). MATLAB programming with applications for engineers. Global Engineering

2) Duffy, D. G. (2011). Advanced engineering mathematics with MATLAB. CRC Press, Taylor & Francis Group 3) Lent, C. S. (2013). Learning to program with MATLAB: building GUI tools. John Wiley & Sons, Ltd.

4) O’Neil, P. V. (2010). Elements of Advanced Engineering Mathematics. Cengage Learning, Australia 5) Singh, R. R. (2010). Engineering mathematics: a tutorial approach. Tata McGraw-Hill, New Delhi B. Online References

1) Eisley, J.G. & Waas, A.M. (2011). Analysis of Structures: An Introduction Including Numerical Methods. John Wiley & Sons, Ltd. Retrieved from http://site.ebrary.com/lib/haulib/detail.action?docID=10510545&p00=method+numerical

2) Epperson, J.F. (2013). An Introduction to Numerical Methods and Analysis. John Wiley & Sons, Ltd. Retrieved from http://site.ebrary.com/lib/haulib/detail.action?docID=10833885&p00=method+numerical

3) Grewal, M.S. (2015). Kalman Filtering: Theory and Practice with MATLAB. Wiley-IEEE Press. Retrieved from

http://site.ebrary.com/lib/haulib/detail.action?docID=11017940&p00=matlab&token=7f912872-8542-47c4-ada7-07d6ce598bc6

4) Kreiss, H.O. & Ortiz, O.E. (2014). Introduction to Numerical Methods for Time Dependent Differential Equations. John Wiley & Sons, Ltd.

Retrieved from http://site.ebrary.com/lib/haulib/detail.action?docID=10913516&p00=method+numerical

5) Yakimenko, O.A. (2011). AIAA Education Series: Engineering Computations and Modeling in MATLAB/Simulink. American Institute of Aeronautics and Asronautics. Retrieved from http://site.ebrary.com/lib/haulib/detail.action?docID=10525589&p00=matlab

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Course Requirements 1) 3 Major Exams (Prelims, Midterms, and Finals) 2) 6 Quizzes

Grading System Class Standing/Quizzes (60%) 3 Major Exams (40%)

TOTAL (100%)

Passing Grade (50%)

Course Policies Maximum Allowable Absences: 10 (held 3 times a week); 7 (held 2 times a week)

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Course Requirements 1) 3 Major Exams (Prelims, Midterms, and Finals) 2) 6 Quizzes

3) Assignments & Seatworks

Grading System CAMPUS++ COLLEGE ONLINE GRADING SYSTEM

Legend: (All Items in Percent)

CSA Class Standing Average for All Performance Items (Cumulative) P Prelim Examination Score

M Midterm Examination Score F Final Examination Score MEA Major Exam Average PCA Prelim Computed Average MCA Midterm Computed Average FCA Final Computed Average

Computation of Prelim Computed Average (PCA) CSA =

MEA = P

PCA = (60%)(CSA) + (40%)(MEA)

Computation of Midterm Computed Average (MCA) CSA =

MEA =

MCA = (60%)(CSA) + (40%)(MEA)

Computation of Final Computed Average (FCA)

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CSA =

MEA =

FCA = (60%)(CSA) + (40%)(MEA) Passing Percent Average: 50

Transmutation Table

Range of Computed Averages Range of Transmuted Values Grade General Classification 94.0000 – 100.0000 97 – 100 1.00 Outstanding

88.0000 – 93.9999 94 – 96 1.25 Excellent 82.0000 – 87.9999 91 – 93 1.50 Superior 76.0000 – 81.9999 88 – 90 1.75 Very Good 70.0000 – 75.9999 85 – 87 2.00 Good 64.0000 – 69.9999 82 – 84 2.25 Satisfactory 58.0000 – 63.9999 79 – 81 2.50 Fairly Satisfactory 52.0000 – 57.9999 76 – 78 2.75 Fair

50.0000 – 51.9999 75 3.00 Passed

Below Passing Average 5.00 Failed

6.00 Failure due to absences 8.00 Unauthorized or unreported withdrawal

Note: A student's Computed Average is a consolidation of Class Standing Percent Average and Major Exam Percent Average.

Course Policies Maximum Allowable Absences: 10 (held 3 times a week); 7 (held 2 times a week)

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Date Revised: Date Effectivity: Prepared By: Checked By: Approved By:

May 30, 2016 June, 2016 Engr. Gerard C. Cortez CpE Faculty

Engr. Gerard C. Cortez Chairperson, CpE Department

Dr. Doris Bacamante

Dean, College of Engineering and Architecture