Vision, Mission, Goals and Objectives

(1)

HOLY ANGEL UNIVERSITY School of Engineering & Architecture

General Engineering Department

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

The School shall provide accessible quality engineering and architecture education leading to highly competent professional;

continually contribute to the advancement of knowledge and technology through research activities; and support countryside development through environmental preservation and community involvement.

(2)

Goals

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

- 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 School 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.

(3)

Relationship of the Program Educational Objectives to the Mission of the Schoolof Engineering & Architecture:

Engineering Program Educational Outcomes (PEOs):

Within a few years after

graduation, the graduates of the Engineering programs are expected to have:

Mission The School shall provide

accessible quality engineering and architecture education leading to high professional competence.

The School shall continually contribute to the advancement of knowledge and technology through research activities.

The School shall support

countryside development through environmental preservation and community involvement.

1. Demonstrated technical

competence ✓ ✓ ✓

2. Shown a commitment to life- long learning

✓ ✓ ✓

3. Exhibited success in their chosen profession

✓ ✓ ✓

4. Manifested faithful stewardship

✓ ✓ ✓

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

Engineering Student Outcomes (SOs):

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

PEOs

1 2 3 4

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

Engineering. ✓ ✓ ✓ ✓

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

(4)

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.

✓ ✓ ✓ ✓ 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. ✓ ✓ ✓ ✓ m) Engage in service-learning program for the promotion and preservation to local culture and

tradition as well as to the community. ✓ ✓ ✓ ✓

(5)

COURSE SYLLABUS

Course Title Differential Equations Course Code DIFEQNS

Course Credit 3 units Year Level 3^rd Year

Pre-requisite: INTECAL Course Calendar 1^st Semester

Course Description:

The course covers vectors; kinematics; dynamics; work, energy, and power; impulse and momentum; rotation; dynamics of rotation;

elasticity; and oscillation.

Course Outcomes (COs):

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

Relationship to the Student Outcomes:

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

1. Define and Identify different classification of Differential Equations

I

2. Perform engineering calculations using appropriate

mathematical E D

(6)

Final Course Output

Learning Outcomes Required Output/s Due Date

Perform engineering calculations using appropriate mathematical principles and approaches to the principles, theories and laws.

Submit a video presentation showing an application of the topics learned in the course that is related to your degree. Each topic must be properly discussed in the video as well as the computation and interpretation for each.

There will be an oral presentation.

The topics for the video are subject to the approval of the instructor handling the course. All references must be in proper citation.

Week 16

Rubric for Assessment

Criteria Excellent (100%) Good (75%) Satisfactory (50%) Needs Improvement

(25%) Content and Organization

(40 pts)

In depth and insightful discussion

Logical sequencing of information throughout Sufficient supporting details

Clear and effective concluding message

Logical sequencing of information throughout Sufficient supporting details

Clear and effective concluding message

Logical sequencing of information most of the time

Details are given but inadequate to support the topic

Clear concluding message but lacks effectiveness

Information presented with little organization Most of the details are irrelevant

Concluding message not clear

Grammar (20 pts) No error Between one to two Between three to four More than four errors

(7)

errors errors Oral Presentation (30 pts) Presented the topic well,

and in an organized way Complete and logical sequencing of information Used English language

Presented the topic well but a little bit disorganized Used English/Tagalog language

Not very well presented and a little bit

disorganized

Majority used Tagalog language

Not well presented and disorganized

Majority used Tagalog language

References (10 pts) All resources cited One resource not cited Two resources not cited More than 3 resources not cited

(8)

COURSE ORGANIZATION

Time

Frame Hours Course Outline

HAU CORE VALUES

Specific Expression

of values

Teaching & Learning Activities

(Student Activities/Outcomes)

Assessment Tools (Outcomes-Based) Week

1 – 2

6 hours 1.Definitions and Terminology 1.1.Definition and Classification of Differential Equations (by type, by order, by degree, by linearity) 1.2.General and Particular Solution 2. Solution of Some 1st Order, 1st Degree D.E.

2.1.Exact Differential Equations

• Group/class discussion

• Define and Classify Differential

• Equations by type, by order, by degree, and by linearity

• Solve the general solution of DE.

• Solve the particular solution of DE.

• Obtain the solution of 1^st order, 1^st degree DE when the equation is Exact.

• Examination (Written)

• Problem Set

• Recitation/Board work (Individual Participation)

Week 3 – 4

6 hours Method of Grouping, and Integrating Factor

Community Instill the value of teamwork through group collaboratio n

(awareness of

mathematic al skills in

• Obtain the solution of 1^st degree DE by Method of grouping

• Obtain the solution of 1^st degree DE by finding the

• Integrating Factor (IF)

• Problem Set

(9)

the world beyond the classroom)

Week 5 – 6

6 hours 2.2. Variable Separable 2.3 .Homogeneous Equations

2.4 Linear D.E. and its solution.

- do –

- do -

- do –

- do -

• Obtain the general and particular solution of DE by separating the variables.

• Obtain the general and particular solution of homogeneous DE.

• Discuss the linear equation of order one and obtain the solution of linear DE

• Problem Set

Week 7 – 8

6 hours 2.5.Bernoulli Equations 2.6.Special

Transformations

- do –

- do -

- do –

- do -

• Discuss the Bernoulli Equation and obtain the solution of Bernoulli equation.

• Obtain the solution of DE using special transformation

• Problem Set

• Recitation/Board work (Individual Participation) Week

9 – 10

6 hours 3. Applications of 1^st Order D.E.

3.1. Rate of Growth and Decay

3.2. Population Growth 3.3. Newton’s Law of Cooling

- do –

- do -

- do –

- do -

• Discuss the Bernoulli Equation and obtain the solution of Bernoulli equation.

• Obtain the solution of DE using special transformation

• Discuss the applications of 1st order DE and solve problems involving growth and decay.

• Discuss and solve problems involving Population growth

• Problem Set

(10)

and Newton’s law of cooling.

Week 11 – 12

6 hours 3.4. Mixture Problems 3.5. Problems in Mechanics

- do –

- do -

- do –

- do -

• Discuss and solve problems involving mixture problems.

• Discuss and solve problems involving problems in

mechanics.

• Problem Set

• Recitation/Board work (Individual Participation) MIDTERM EXAMINATION

Week 13 – 15

9 hours 4.1 Solution of Higher Order Linear Differential Equations

4.1.1 Homogeneous Linear D.E. with Constant Coefficients

- do –

- do -

- do –

- do -

• Discuss higher order DE like homogeneous linear DE with constant coefficient and solve problems involving homogeneous linear DE.

• Problem Set

16 – 17 6 hours 4.2 Non-Homogeneous Differential Equation 4.2.1 Method of Undetermined Coefficients 4.2.2 Variation Of Parameters

- do –

- do -

- do –

- do -

• Discuss non-homogeneous DE by the method of

undetermined coefficient and solve problems related to it.

• Problem Set

18

3 hours 5. Application of 2nd Order Linear Differential Equations with Constant Coefficients

5.1 Electrical Circuits

- do –

- do -

- do –

- do -

• Discuss applications of 2nd order linear DE with constant coefficient and solve

problems in electrical circuits.

• Problem Set

• Recitation/Board work (Individual Participation) FINAL EXAMINATION

(11)

Course References:

A. Basic Readings: (Text Book)

1. Rainville, E. D., Bedient, P. E., & Bedient, R. E. (2014). Elementary Differential Equations. 8th Edition Low Price Edition. Boston : Pearson Education Limited

B. Extended Readings ( Books, Journals):

1. Edwards, H. C.(2008). Differential Equations : Computing and Modeling, 4th edition. New Jersey : Pearson Education

2. Brannan, J. R.(2011). Differential Equations with Boundary Value Problems : Modern Methods and Applications. Hoboken, NJ:

John Wiley

3. Zill, D.G.(2009). Differential Equations with Boundary-Value Problems, 7th edition. Australia: Brooks/Cole

4. Zill, D. G. & Wright, W. S. (2013). Succeeding with Differential Equations. 8th Edition. Singapore : Cengage Learning Asia Pte.

Ltd.

C. Web References

1. Murray Bourne, M. (April 07, 2018). Solving Differential Equations (DEs). Interactive Mathematics Learn math while you play with it. Retrieved from http://www.intmath.com/Differential-equations/1_Solving-DEs.php

2. TutorVista.com (2018). Applications of Differential Equations. Retrieved from

http://www.tutorvista.com/content/math/calculus/differential-equations/differential-equation-applications.php

(12)

Course Requirements

1) 2 Major Exams (Midterms, and Finals) 2) 6 Quizzes

3) Final Course Output Grading

System

Class Standing/Quizzes (60%) 2 Major Exams (40%)

TOTAL (100%) Passing Grade (50%)

CAMPUS++ COLLEGE ONLINE GRADING SYSTEM Legend: (All Items in Percent)

CSA Class Standing Average for All Performance Items (Cumulative) M Midterm Examination Score

F Final Examination Score MEA Major Exam Average

MCA Midterm Computed Average FCA Final Computed Average

Computation of Midterm Computed Average (MCA) CSA = 𝑺𝒖𝒎 𝒐𝒇 𝑹𝒂𝒘 𝑺𝒄𝒐𝒓𝒆𝒔

𝑺𝒖𝒎 𝒐𝒇 𝑷𝒆𝒓𝒇𝒆𝒄𝒕 𝑺𝒄𝒐𝒓𝒆𝒔 𝒙 𝟏𝟎𝟎

MEA = M

MCA = (60%)(CSA) + (40%)(MEA) Computation of Final Computed Average (FCA)

CSA = 𝑺𝒖𝒎 𝒐𝒇 𝑹𝒂𝒘 𝑺𝒄𝒐𝒓𝒆𝒔

𝑺𝒖𝒎 𝒐𝒇 𝑷𝒆𝒓𝒇𝒆𝒄𝒕 𝑺𝒄𝒐𝒓𝒆𝒔 𝒙 𝟏𝟎𝟎

MEA = ^𝑴+𝑭

𝟐

(13)

Date Prepared:

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

May, 2017 June, 2017 Engr. Arlyn B. Del Rosario Engr. Elmer B. Perez Dr. Felicito S. Caluyo Dean, School of Engineering and

Architecture 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)