UNIVERSITY OF SCIENCE AND TECHNOLOGY
Document Code No.
FM-USTP-ACAD-01
OF SOUTHERN PHILIPPINES
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon
Rev. No.
Effective Date
Page No.
01
05.01.19
1 of 6
COURSE SYLLABUS
Course Code: SciEd 502
Course Title: Math for Science Teachers 2
Credit Units: 3 units
Prerequisite(s): SciEd 501
Co-requisite(s): None
College of Science and Technology Education
Department of Science Education
USTP Vision
A nationallyrecognized
S&T
University
providing the
vital link
between
education and
the economy
USTP Mission
 Bring the world of
work (industry)
into the actual
higher education
and training of
students
 Offer
entrepreneurs the
opportunity to
maximize their
business
potentials through
a gamut of
Semester/ School Year: 2nd semester, 2020-2021
Class Schedule: MSSCIEd Physics 10:30-12:00PM; 1:00-2:30PM
Building/Room No.:
Name of Faculty: Laila S. Lomibao, PhD
Email Address : laila_lomibao@ustp.edu.ph
Consultation Schedule: Tue. 12:00NN-1:00PM
Bldg./Rm : CSTE Dean’s Office
Office Phone no./Local: 105
I. Course Description:
This course deals with the calculus of vectors. It starts with the introduction of vectors and then the algebra of vectors and followed by
differentiation and integration of vectors. Applications on how to solve problems in higher subjects such as electromagnetism, classical
mechanics, and quantum mechanics are also introduced. The importance of the course lies in the fact that Physical Chemistry, Quantum
Chemistry, Classical Mechanics and Electromagnetism, which are course in masters level are dealing with vectors.
II. Course Outcome (CO)
Develop critical analysis and decision
making in the appropriate use of methods
solving real-world applications in physical
chemistry and physics.
a
b
c
d
e
f
g
h
i
E
E
E
D
E
E
E
E
E
UNIVERSITY OF SCIENCE AND TECHNOLOGY
Document Code No.
FM-USTP-ACAD-01
OF SOUTHERN PHILIPPINES
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon
services from
product
conceptualization
to
commercialization;
 Contribute
significantly to the
National
Development
Goals of food
security and
energy sufficiency
through
technology
solutions
Effective Date
Page No.
01
05.01.19
2 of 6
III. Course Outline
Allotted
Time
Course
Outcomes
(CO)
Intended Learning
Outcomes (ILOs)
Review concepts on
differential,
integral calculus
and techniques in
integration
11
Topics
I. Review of
Fundamentals in
Calculus
A. Deferential
Calculus
B. Integral calculus
C. Techniques in
integration
II. Algebra of Vectors
Program
Objectives (PEOs)
The program will
produce graduates who:
1. exhibit a profound
understanding of the
advanced concepts and
principles in Physics and
pedagogy that best
suits learners’ needs;
Rev. No.
6
1. Define and
illustrate vectors.
2. Differentiate
vectors from
scalar.
3. Perform algebraic
operation of
vectors.
4. Apply the concept
of unit vectors in
position and
displacement
vectors.
 Definition of a
vector
 Equality of
vectors
 Multiplication by
a scalar
 Addition &
Subtraction of
vectors
 Unit vector
Suggested
Readings
[1], [2], [3],
[4]
[1], [2], [3],
[4]
TeachingLearning
Activities
Assessment
Tasks/Tools
Grading
Criteria
Blended
Learning
Exploratory/
Discovery
Approach
Problem
Posing
Approach
Formative
Quizzes
80% of
the
students
achieve
the 70%
passing
Blended
Learning
Exploratory/
Discovery
Approach
Problem
Posing
Approach
Formative
Quizzes
Summative
Tests
Problem
Sets
Summative
Tests
Problem
Sets
80% of
the
students
achieve
the 70%
passing
Remarks
UNIVERSITY OF SCIENCE AND TECHNOLOGY
Document Code No.
FM-USTP-ACAD-01
OF SOUTHERN PHILIPPINES
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon
Rev. No.
Effective Date
Page No.
01
05.01.19
3 of 6
 Position and
displacement
vectors
2. engage and apply
innovative
research
works
to
improve
physics and physics
education or
solve
community
problems to contribute to
the local economy;
3. are educational leaders
in the development of
innovative curricula,
instructional plans,
teaching approaches and
instructional materials in
Physics Education; and
4. pursue advanced
education and
participation in
professional and
scientific organizations.
Program Outcomes
(POs)
The students are expected
to:
a. apply knowledge and
skills in designing
science curriculum,
instruction, and authentic
assessment of learning;
6
1. Evaluate dot and
cross product.
2. Apply the concept
of dot .product in
space geometry.
3. Solve problems
involving cross
products.




18
1. Differentiate
vectors
2. Solve application
problems
involving vector
differential.
3. Evaluate gradient
of scalar
function.
4. Evaluate
directional
derivatives.
5. Solve tangent
planes and
Dot product and
its application
to space
geometry
Vector or Cross
product
Triple scalar
product
Triple vector
product
III. Differential
Vector Calculus



Differentiation
of vectors
Differentiation
rules
 Partial
derivatives
 Total
differential
 Chain rule
The gradient
[1], [2], [3],
[4]
[1], [2], [3],
[4]
Blended
Learning
Exploratory/
Discovery
Approach
Problem
Posing
Approach
Formative
Quizzes
Blended
Learning
Exploratory/
Discovery
Approach
Problem
Posing
Approach
Formative
Quizzes
Summative
Tests
Problem
Sets
Summative
Tests
Problem
Sets
80% of
the
students
achieve
the 70%
passing
80% of
the
students
achieve
the 70%
passing
UNIVERSITY OF SCIENCE AND TECHNOLOGY
Document Code No.
FM-USTP-ACAD-01
OF SOUTHERN PHILIPPINES
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon
b. integrate available
modern technology in the
design and
implementation of
teaching and
learning activities;
c. design and utilize
instructional materials
relevant to the needs of
diverse learners using
available resources in the
community;
d. demonstrate
proficiency in written,
oral, and graphical
communication in both
technical
and non-technical
environments;
e. conduct research
activities responsive to
the contemporary issues
and challenges of the
industry and community;
f. be leaders in culturally
diverse teams and
multidisciplinary settings;
g. demonstrate a
comprehensive and indepth understanding of
contemporary issues in
6.
7.
8.
1.
2.
3.
12
normal planes to
the surface.
Evaluate
divergence.
Solve problems
involving
applications of
divergence.
Solve problems
involving curl of
a vector
functions and its
applications.
Integrate vector
functions.
Evaluate line and
surface.
Solve problems on
volume integrals,
divergence and
curl vectors.





The vector
operator del 
The divergence
of a vector
The curl of a
vector
Recapitulation
Curvilinear
coordinates
IV. Vector
Integration
 The Riemann
Integrals
 Line & surface
integrals
 Volume
Integrals
 Divergence and
Curl of Vectors
[1], [2], [3],
[4]
Rev. No.
Effective Date
Page No.
01
05.01.19
4 of 6
UNIVERSITY OF SCIENCE AND TECHNOLOGY
Document Code No.
FM-USTP-ACAD-01
OF SOUTHERN PHILIPPINES
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon
physics and physics
education;
h. embody professional
and ethical standards
sensitive to the local,
national, and global
realities; and
i. engage in more
advanced and specialized
training for further
professional and personal
development.
9
1. Discuss Gauss,
Green’s and
Stoke’s Theorems.
2. Solve application
problems
involving Gauss,
Green’s and
Stoke’s Theorems.
3. Evaluation
integrals using
Laplace
transform.
Divergence
(Gauss)Theorem



Greens
Theorem
Stoke’s
Theorem
Laplace
transform
[1], [2],
[3],[4]
Blended
Learning
Exploratory/
Discovery
Approach
Problem
Posing
Approach
Rev. No.
Effective Date
Page No.
01
05.01.19
5 of 6
Formative
Quizzes
Summative
Tests
Problem
Sets
80% of
the
students
achieve
the 70%
passing
III.
Course Requirements
Course Readings/Materials:
1. Spiegel, Murray. Vector Analysis and an Introduction to Tensor Analysis, 1st edition.
2. Lass, Harry. Vector and Tensor Analysis. McGraw-Hill Book Company.
3. Leithold, Louis. The Calculus 7. (2002). Pearson Education Asia Pte. Ltd.
4. Larson, Ron & Edwards, Bruce. (2015). Calculus. 10th Ed. Cengage Learning Asia Pte. Ltd.
5. Dray Tevian & Manogue, Corinne. (2012).The Geometry of Vector Calculus. Oregon State University
6. Tisdell, Chris.(2014). Introduction to Vectors YouTube classes with Dr Christopher C. Tisdell.
http://bookboon.com/en/introduction-to-vectors-ebook
UNIVERSITY OF SCIENCE AND TECHNOLOGY
OF SOUTHERN PHILIPPINES
Alubijid | Cagayan de Oro | Claveria | Jasaan | Oroquieta | Panaon
Document Code No.
FM-USTP-ACAD-01
Rev. No.
Effective Date
Page No.
01
05.01.19
6 of 6
GRADING POLICY
Quizzes
Term Exam
Performance Task
Class Standing
- 40%
- 30 %
- 20 %
- 10%
100 %
Note: 70% passing in all quizzes, term exams, performance tasks and class standing.
Prepared by:
LAILA S. LOMIBAO, PhD
Faculty
Recommending Approval:
RONNIE L. BESAGAS
DSEd Chairperson
Approved by:
LAILA S. LOMIBAO, PhD
Dean, CSTE