Annex III – Sample Course Specification

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:

- 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 75th to 90th 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.

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

Architecture:

General Engineering Educational Outcomes

(PEOs):

Within a few years after graduation, our

graduates of 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 Engineering Program Outcomes to the Program Educational Objectives:

General Engineering Student Outcomes (SOs):

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

PEOs

1 2 3

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

b) Design and conduct experiments; as well as 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 √ √ √

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

f) Understand 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) Modernize education necessary to understand the impact of engineering solutions in a global, economic,

environmental, and societal context √ √ √

i) Recognize the need for, and engage in life-long learning and keep current of the development in the field √ √ √

j) Respond to contemporary issues √ √ √

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

l) Apply engineering and management principles as a member and leader in a team; manage projects in

multidisciplinary environments √ √ √

COURSE SYLLABUS

Course Title: PLANE AND SPHERICAL TRIGONOMETRY Subject Code:TRIGO

Course Credit: 3 units Year Level: 1ST Year

Pre-requisites: Course Calendar: 1st Semester

Course Description:

The course covers trigonometric functions; identities and equations; solutions of triangles; law of sines; law of cosines; inverse

trigonometric functions; vectors; spherical trigonometry

Course Outcomes/Objectives (CO):

After completing the course, the student must be able to:

PO Code Link(s)

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

1) Evaluate problems involving Angles and their Trigonometric

Functions; Solve problems involving Right Triangles and Bearing

and Courses;

I I I I I

2) Solve problems in Radian Measure; Evaluate problems in Higher

Trigonometric Identities; Evaluate Problems involving Plane

Oblique Triangles using Sine Law and Cosine Law;

I I I I I

3) Differentiate Scalar and Vector Quantities; Solve problems

involving vectors; Evaluate Problems in Right Spherical Triangle

using Napier’s Rule; and in Oblique Spherical Triangle using

Laws of Sine and Cosine; Solve Problems involving the

Application of Spherical Triangles;

I I I I I

Values Objectives:

1. Explain the relevance of Plane and Spherical Trigonometry in our everyday life.

2. Display a keen sense of analytical thinking and technical approach to problem solving.

COURSE ORGANIZATION

Time

Frame Hours CO Course Topics Teaching / Learning Activities Assessment Tasks Resources

Week

1

3 CO 1 1 Trigonometric Functions

1.1. Angles and Measurement

1.1.1. Definition and

Measurement of

Angles

1.1.2. Conversion of Units

1.2. Trigonometric Functions of

Angles

1.2.1. Six Basic

Trigonometric

Functions

1.2.2. Pythagorean Theorem

· Define Trigonometry and recognize

its importance to the course, and its

relevance to technology

· Define the parts of an angle and

demonstrate how to measure angles

· Show different conversion of units

of an angle

· Solve problems involving the Six

Basic Trigonometric Functions and

Pythagorean Theorem

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

2

3 CO 1

1.2.3. Trigonometric

Functions of Special

Angles

1.2.4. Graphs of the Sine and

Cosine and Other Sine

Waves

1.2.5. Relations Among

Trigonometric

Functions

1.2.5.1. Simple

Identities

· Determine the functions of special

angles

· illustrate the graphs of Sine Wave

and Cosine Wave

· Solve problems involving

simple,cofunction and

trigonometric identities

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

1.2.5.2. Cofunction

Identities

1.2.5.3. Pythagorean

Identities

Week

3

3 CO 1 1.3. Solution of Right Triangle

1.3.1. Angles of Elevation

and Depression

1.3.2. Solution of

Rectilinear Figures

· Define angles of elevation and

depression and the relationship

between them

· Solve problems involving

rectilinear figures, right triangles,

elevation and depression

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

4

3 CO 1 1.3.3. Bearing and Courses

· Introduce the different ways on how

to name a course and/or a bearing

· Solve problems involving bearing

and courses with the right triangle

approach

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

5

3 CO 1 1.4. Generalized Trigonometric

Functions

1.4.1. Rectangular and

Trigonometric Functions

· Introduce rectangular functions

· Solve problems involving

rectangular and Trigonometric

Functions

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

6

3 CO 1 1.4.2. Expressing Function of

any Angle as a Function

1.4.3. Solution of

· Demonstrate how to express

function of any angle as a function

· Analyze and solve problems

involving the Trigonometric

· Examination

(Written)

· Problem Set

· Recitation/Board

· A1, combined

with other

course

references

Trigonometric Equations Equations work (Individual

Participation)

PRELIMINARY EXAMINATION

Week

7

3 CO 4

CO 5 2. Radian Measure

2.1. Arc Length, Radius and

Radius Relationship

2.2. Angular Velocity

2.3. Area of Sector and of

Segment

· Define Arc Length, Angular

Velocity, Sector and Segment

· Derive the formulas to use in

solving them

· Solve problems involving the Arc

Length, Angular Velocity, Sector

and Segment

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

8

3 CO 4 3. Higher Trigonometric

Identities

3.1. Sum and Difference

Identities

3.2. Double-Measure and

Half-Measure Identities

· Introduce the Sum and Difference

Identities

· Derive the Double-measure and

Half-measure Identities

· Solve problems involving Sum and

Difference Identities and Double-

measure and Half-measure

Identities

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

9

3 CO 2 3.3. Product-to-Sum and

Sum-to-Product Identities

· Solve equations involving Product-

to-Sum and Sum-to-Product

· Prove Identities involving Product-

to-Sum and Sum-to-Product

·

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1,

combined

with other

course

references

Week

10

3 CO 2 4. Application of Trigonometry 4.1. Sine Law

· Introduce a better solution for

Oblique Plane Triangles

· Solve problems where Sine Law

can be used

· Examination

(Written)

· Problem Set

· Recitation/Boar

d work

(Individual

Participation)

· A1, combined

with other

course

references

Week

11

3 CO 2 4.2. Cosine Law

4.3. Heron’s Formula

· Show when to use Cosine Law and

why Sine Law cannot be applied

· Solve problems in different cases

· Apply Heron’s Formula in solving

for the Area of a Plane Triangle

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

12

3 CO 3 5. Vectors

5.1. Scalar and Vector

Quantities

5.2. Resultant Vector

5.3. Methods of Solving for

the Resultant Vector

· Differentiate between scalar and

vector quantities

· Determine graphically and

analytically the sum of two or more

vectors

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

5.3.1. Polygon Method

5.3.2. Parallelogram

Method

MIDTERM EXAMINATION

Week

13

3 CO 3 5.3.3. Component Method

5.3.4. Vector Applications

· Use the process of resolution of

vectors to find the components of

vectors

· Determine the sum of two or more

vectors by adding their components

· Solve problems involving the

application of Vectors

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

·

Week

14

3 CO 3 6. Spherical Trigonometry

6.1. Spherical Trigonometry

Basics

Introduce Spherical Trigonometry

and its uses in our life

Introduce the person behind the

existence of Spherical

Trigonometry

Show the Parts of a Sphere and how

they were created

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

·

Week

15

3 CO 3 6.2. Right Spherical Triangle

6.3. Napier’s Rule

Identify a Right Spherical

Triangle

Solve problems involving a Right

Spherical Triangle

Examination

(Written)

Problem Set

Recitation/Boar

d work

(Individual

Participation)

· A1, combined

with other

course

references

Week

16

3 CO 3 6.4. Oblique Spherical Triangle

6.4.1. Law of Sine for

Sides and Angles

· Identify an Oblique Triangle

· Solve problems where Sine Law

can be used

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

·

Week

17

3 CO 3 6.4.2. Law of Cosine for

Sides and Angles

6.5. Area of a Spherical Triangle

· Solve problems involving different

cases

· Identify the more accurate method

to use and evaluate each problems

· Derive the formula in solving for

the Area of a Spherical Triangle

· Examination

(Written)

· Problem Set

· Recitation/Board

work (Individual

Participation)

· A1, combined

with other

course

references

Week

18

3 CO 3 6.6. Applications of Spherical

Triangle

· Solve true to life problems

involving Latitudes and Longitudes

· Examination

(Written)

· Problem Set

· Recitation/Boar

d work

(Individual

Participation)

· A1,

combined

with other

course

references

FINAL EXAMINATION

Course References:

A. Basic Readings

1. Algebra and trigonometry by Stewart, James c2012 Published by Brooks/Cole Cengage Learning, Australia

B. Extended Readings (Books)

1. Algebra and trigonometry by Larson, Ron c2012 Published by Cengage Learning, Andover

2. College algebra and trigonometry by Lial, Margaret L. c2013 Published by Pearson Education, Boston

3. McGraw-Hill's 500 college algebra and trigonometry questions : ace your college exams by Schmidt, Philip c2013 Published by

McGraw-Hill, New York

4. Modern trigonometry : analysis and applications by Barnett, Raymond A. c2009 Published by John Wiley, New Jersey

5. Trigonometry for dummies by Sterling, Mary Jane c2014 Published by John Wiley, Hoboken, New Jersey

C. Web References

http://cengageasia.com

Course Requirements and Policies

1. 3 Major Examinations (PRELIMS, MIDTERMS, FINALS)

2. 6 Quizzes (Minimum)

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

Aside from academic deficiency, other grounds for failing grade are:

1. Grave misconduct and/or cheating during examinations.

2. A failing academic standing and failure to take graded exams.

3. Unexcused absences of more than the maximum allowable absences per term.

Grading System

Class Standing/Quizzes (60%) 3 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) 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 Note: For purposes of illustration, the sharing between CSA and MEA is shown below as 70% and 30%, respectively, when

computing the Computed Average for each Grading Period. Depending on the grading parameters set for a subject the sharing may be 65%-35%, 60%-40%, or other possible combinations.

Computation of Prelim Computed Average (PCA)

CSA = 𝑺𝒖𝒎 𝒐𝒇 𝑹𝒂𝒘 𝑺𝒄𝒐𝒓𝒆𝒔

𝑺𝒖𝒎 𝒐𝒇 𝑷𝒆𝒓𝒇𝒆𝒄𝒕 𝑺𝒄𝒐𝒓𝒆𝒔 𝒙 𝟏𝟎𝟎

MEA = P PCA = (60%)(CSA) + (40%)(MEA) Computation of Midterm Computed Average (MCA)

CSA = 𝑺𝒖𝒎 𝒐𝒇 𝑹𝒂𝒘 𝑺𝒄𝒐𝒓𝒆𝒔

𝑺𝒖𝒎 𝒐𝒇 𝑷𝒆𝒓𝒇𝒆𝒄𝒕 𝑺𝒄𝒐𝒓𝒆𝒔 𝒙 𝟏𝟎𝟎

MEA = 𝑷+ 𝑴

𝟐

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

CSA = 𝑺𝒖𝒎 𝒐𝒇 𝑹𝒂𝒘 𝑺𝒄𝒐𝒓𝒆𝒔

𝑺𝒖𝒎 𝒐𝒇 𝑷𝒆𝒓𝒇𝒆𝒄𝒕 𝑺𝒄𝒐𝒓𝒆𝒔 𝒙 𝟏𝟎𝟎

MEA = 𝑷+ 𝑴+𝑭

𝟑

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

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

Rechelle Ann P. MarquezRe

Filipina I.De Guzman

Maria Doris C. Bacamante

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