Republic of the Philippines

CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE

Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001

COLLEGE OF EDUCATION

PHILOSOPHY UNIVERSITY GOALS

Education for Sustainable Human Development 1. Enable transformative and inclusive learning experiences
2. Generate and utilize new knowledge and technologies
3. Engage and empower communities
VISION 4. Intensify Internationalization and resource generation initiatives
An Agricultural Research University of Global Standards 5. Establish one e-governance system
6. Enhance management of university resources
MISSION
Leading innovations, building resilient and sustainable CORE VALUES
● Quality and Excellence ● Teamwork and Unity
Agricultural communities ● Professionalism ● Liberalism,
● Institutional Pride

COLLEGE GOALS UNIVERSITY GOALS

1 2 3 4
1. Nurture quality pre-service teachers who will demonstrate excellent performance in the areas of
instruction, research and publication, and extension; √ √ √ √
2. Promote quality teacher education programs that prepare world – class teachers; √ √ √
3. Develop relevant and responsive educational technologies through research; √
4. Catalyze development through community engagement; and √
5. Improve human and physical resources. √

Effectivity Date: January 2, 2020 Rev: 0 Page 1 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001

PROGRAM OUTCOMES COLLEGE GOALS

After four years, the graduates of the BSED and BEED program shall: 1 2 3 4 5
1. Articulate the relationship of education to larger historical, social, cultural, political processes. √ √ √ √ √
2. Facilitate learning using a wide range of teaching methodologies in various types of √ √ √ √ √
environment.
3. Develop alternative teaching approaches for diverse learners. √ √ √ √ √
4. Apply skills in curriculum development, lesson planning, materials development, instructional √ √ √ √ √
delivery and educational assessment.
5. Demonstrate basic and higher levels of thinking skills in planning, assessing and reporting. √ √ √ √ √
6. Practice professional and ethical teaching standards to respond to the demands of the √ √ √ √ √
community.
7. Pursue lifelong learning for personal and professional growth. √ √ √ √ √

STUDENTS OUTCOMES (BSED and BEED PROGRAM OUTCOMES) PROGRAM EDUCATIONAL OBJECTIVES
By the time of graduation, the students of the BSED and BEED program shall be able
1 2 3 4 5 6 7
to:
a. Demonstrate in-depth understanding of the development of secondary and elementary √ √ √ √ √ √ √
learners;
b. Exhibit comprehensive knowledge of various learning areas in the secondary and √ √ √ √ √ √ √
elementary curriculum;
c. Create and utilize materials appropriate to the secondary and elementary level to enhance √ √ √ √ √ √ √
teaching and learning;
d. Design and implement assessment tools and procedures to measure secondary and √ √ √ √ √ √ √
elementary learning outcomes.

COURSE SYLLABUS

Effectivity Date: January 2, 2020 Rev: 0 Page 2 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001

I. Course Description

1. Course Number Math 115B

2. Course Name Calculus 1 (Differential Calculus)
3. Course This course introduces to students the fundamentals of Calculus, limits, continuity and derivatives. It includes the derivative
Description of algebraic, trigonometric, exponential and logarithmic function. It also discusses the maxima and minima of a function, and
time rates. This course assumes a thorough understanding of concepts on analytic geometry.
4. Credit Units 3 units
5. Contact Hours 3 Hours
6. Prerequisite Analytic Geometry
7. Values Integration Instill university and college’s core values such as academic excellence.

8. Students Outcomes addressed by the Course Outcomes: STUDENTS OUTCOMES*

After considering this course, the student must be able to:
a b c d
1. Identify the characteristics of Equation
2. Sketch graph of equations
3. Determine the continuity of a function
4. Find the limits Graphically, numerically, and analytically
5. Determine the left hand and right hand limit
6. Find the derivatives of a function using the limit definition.
7. Find the derivative and higher derivative using the product rule, quotient rule, chain rule, and general power rule
8. Find the derivative of trigonometric function
9. Find the derivative of implicit function

Effectivity Date: January 2, 2020 Rev: 0 Page 3 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001
10. Find the Derivative of exponential and logarithmic function
11. Use differentiation to find tangent and normal line to a plane curve
12. Solve problem involving time rate

*Level: I – Introductory, P – Practice, E – Enabling, D – Demonstrative

9.Course Coverage
TIME
LEARNING TEACHING AND ASSESSMENT
COURSE OUTCOMES TOPICS ALLOTMENT
OBJECTIVES LEARNING ACTIVITIES TASK/TOOL
(hours)
Familiarize/Memorize
CBSUA-PVMGO Cooperative Learning Group Recitation 1-hour
the CBSUA - PVMGO
CO 1. Determine if the limit of 1. Function, Limits Demonstrate knowledge  Cooperative Learning Written Test
a function exists and evaluate 1.1 Function about fundamental  Skills exercises
that limit using analytic, 1.2 Graph of a function concept and theorem in
 Computer Aided
graphical, and numerical 1.3 Classification of function and limits
methods function Exercises 5-hour
1.4 Definition of limits
1.5 Theorem of limits
1.6 Right hand and left
limits
CO 2. Define derivatives and 2. The Derivatives, Slope, Discuss derivatives and  Cooperative Learning Written Test 6-hour
use it as slope and change of Rate of Change interpret it as slope and Skills exercises
rate 2.1The derivatives change of rate
 Seatwork
2.2 Determination of
derivatives
2.3 Tangents to a plane
Curve

Effectivity Date: January 2, 2020 Rev: 0 Page 4 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001
2.4 Derivative
Interpreted as slope
2.5. Rate of Change
CO 3. Calculate the 3. Algebraic Function Find the derivative Cooperative Learning Written Test
derivatives of algebraic 3.1 Derivative of a and higher  Library work
expression using the rules in constant derivative using the
 Skills exercises
differentiation. 3.2 Derivative of a Sum; product rule,
a Product; a quotient rule, chain Seatwork
Quotient rule, and general  Problem Set 9-hour
3.3 General Power Rule power rule
3.4 The Chain Rule
3.5 Higher Derivatives
3.6 Derivative of Implicit
Function
CO 4. Calculate the 4. Derivative of Find the derivative Library work Written Test
derivatives of trigonometric Trigonometric of trigonometric  Cooperative Learning
function Function function
 Skills exercises
4.1 Derivative of six
Trigonometric  Seatwork
Problem Set 6-hour
Function
4.2 Derivative of
Inverse
Trigonometric
Function
CO 5. Calculate the 5. Exponential and Find the Derivative Cooperative Learning Written Test
derivatives of exponential and Logarithm of exponential and Library work
logarithmic function 5.1 Derivative of logarithmic function
 Skills exercises 6-hour
exponential Function
5.2 Derivative of  Seatwork
Logarithmic Function Problem Set
CO 6. Apply the rule in 6. Polynomial Curve Use differentiation Cooperative Learning Written Test 9-hour

Effectivity Date: January 2, 2020 Rev: 0 Page 5 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001
differentiation to solve 4.3 Tangents and to find tangent and Skills exercises
problem involving polynomial Normal to a Plane normal line to a  Seatwork
curve Curve plane curve Problem Set
4.4 Graphs
4.5 Increasing and
Decreasing
Function
4.6 Maxima and Minima
CO 7. Solve different 7. Application of Apply knowledge in Cooperative Learning Written Test
problem involving the Derivatives derivatives to solve Skills exercises
application of derivatives. 7.1 Application of Maxima situational problem Seatwork 9-hour
and Minima involving maxima
7.2 Time Rates and minima as well
as time rate

II. Course Outline and Timeframe

Timeframe Course Content Students’ Output

Week 1-2 Function and Limits

Written Exercises
Quizzes

Week 3-4 The derivatives, slope, and rate of change Written Exercises
Quizzes
Week 5-7 Algebraic Function Written Exercises
Quizzes

Effectivity Date: January 2, 2020 Rev: 0 Page 6 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001
Week 8-9 Trigonometric function Written Exercises
Quizzes
Week 10-11 Exponential and Logarithm Written Exercises
Quizzes

Week 12 -14 Polynomial Curve Written Exercises

Quizzes

Week 15-17 Application of the derivatives Written Exercises

Quizzes

One week (or an equivalent Allotted for Mid-Term and Final Exams
of three hours)

III. Alignment of the Course Outcomes with the Summative Assessment Tasks

Course Objectives Summative Assessment Task Details

CO 1. Determine if the limit of a function exists Activity sheet/Learning Exercises (Problem This course is intended to introduce the
and evaluate that limit using analytic, graphical, Solving) students calculus. It covers special function, limits,
and numerical methods derivatives at their applications and differential
It will expose the students in different methods
of differentiation, working on the degree of
science and mathematics. It emphasizes skills,
theory and application that open doors to higher
mathematics.

Effectivity Date: January 2, 2020 Rev: 0 Page 7 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001
CO 2. Define derivatives and use it as slope and
change of rate

CO 3Calculate the derivatives of algebraic This summative assessment task will serve as a
culminating activity of the students. It will
expression using the rules in differentiation.
measure the learned concepts of the students
through solving mathematical problem related to
CO4. Calculate the derivatives of trigonometric the function and limit, derivatives and its
application.
function

CO 5. Calculate the derivatives of exponential

and logarithmic function

CO 6. Apply the rule in differentiation to solve

problem involving polynomial curve

CO 7. Solve different problem involving the

application of derivatives

. Mid-term and Final Examinations As part of curriculum, these examinations are

given to evaluate the students’ knowledge and
understanding of concepts and principles of
course. These are given to affirm and validate
their over-all learning of the subject matter.

Effectivity Date: January 2, 2020 Rev: 0 Page 8 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001

IV. Learning Plan

DESIRED LEARNING COURSE CONTENT/ TIME TEACHING & ASSESSMENT STUDENTS’

OUTCOMES (DLO) SUBJECT MATTER ALLOTMENT LEARNING ACTIVITIES OF TASKS (ATs) OUTPUT
(TLAs)

Familiarize/Memorize the
CBSUA-PVMGO 1-hour Cooperative Learning Group Recitation Group Recitation
CBSUA - PVMGO

- Discuss and graph 1. Function, Limits  Cooperative Learning Written Test Written Exercises
different function 1.1 Function  Skills exercises Quizzes
- Innumerate classification 1.2 Graph of a function
 Computer Aided
of a function 1.3 Classification of
-Define limits function 5-hour Exercises
-Discuss theorem of limits 1.4 Definition of limits
- Solve right hand and left 1.5 Theorem of limits
hand limit 1.6 Right hand and left
hand limits
-Discuss the definition 2. The Derivatives, Slope, 6-hour  Cooperative Learning Written Test Written Exercises
derivatives Rate of Change  Skills exercises Quizzes
- Determine the 2.1The derivatives
 Seatwork
derivatives of different 2.2 Determination of
function based from its derivatives
definition 2.3 Tangents to a plane
- determining the slope of Curve
a curve at a given point 2.4 Derivative Interpreted
- interpret derivative as as slope
rate of change 2.5. Rate of Change

Effectivity Date: January 2, 2020 Rev: 0 Page 9 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001
-Compute the derivative of 3. Algebraic Function  Cooperative Learning Written Test Written Exercises
constant 3.1 Derivative of a constant  Library work Quizzes
-Solve problem involving 3.2 Derivative of a Sum; a
 Skills exercises
derivative of sum, product Product; a Quotient
and quotient 3.3 General Power Rule  Seatwork
9-hour  Problem Set
-Apply chain rule 3.4 The Chain Rule
- Find higher derivatives 3.5 Higher Derivatives
of a given function 3.6 Derivative of Implicit
-calculate the derivative of Function
implicit function
-Compute the derivative of 4. Derivative of  Library work Written Test Written Exercises
six trigonometric function Trigonometric Function  Cooperative Learning Quizzes
- Compute the derivative 4.1 Derivative of six
6-hour  Skills exercises
of inverse trigonometric Trigonometric Function
function 4.2 Derivative of Inverse  Seatwork
Trigonometric Function Problem Set
Mid Term
- Solve for the derivative 5. Exponential and  Cooperative Learning Written Test Written Exercises
of exponential function Logarithm  Library work Quizzes
-solve for the derivative of 5.1 Derivative of
6-hour  Skills exercises
logarithmic function exponential Function
5.2 Derivative of  Seatwork
Logarithmic Function Problem Set
-determine the equation of 6. Polynomial Curve  Cooperative Learning Written Test Written Exercises
tangent and normal line in 6.1 Tangents and Normal to a  Skills exercises Quizzes
a given curve Plane Curve
 Seatwork
-Graph equation of 6.2 Graphs
9-hour Problem Set
tangent and normal line in 6.3 Increasing and Decreasing
a given curve Function
-Discuss increasing and 6.4 Maxima and Minima
decreasing function

Effectivity Date: January 2, 2020 Rev: 0 Page 10 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001
-Discuss maxima and
minima

-solve different problem 7 Application of  Cooperative Learning Written Test Written Exercises
involving application of Derivatives  Skills exercises Quizzes
maxima and minima 7.1 Application of Maxima and 9-hour Seatwork
- solve different problem Minima
involving time rates 7.2 Time Rates
Final Examination

V. Learning Evidences/Course Requirements

1. Shall take two sets of examinations (Midterm and Final Examination)
2. Participate actively in class and related outdoor activities
3. Al least 85% attendance of the total number of hours allotted for the course
4. Accomplishment of the learning modules/learning exercises
5. Accomplishment of written exercises and problem solving
6. Compilation of Solved problems and exercises

VI. Reference
1. Love, Clyde .Differential and Integral Calculus, 6th ed., 1962, New York Mcmillan,
2. Koshy, Thomas. Elementary Number Theory With Applications, 2nd ed., 2007. Elsevier, Inc
3. Robbins, Neville. Beginning Number Theory, 1993. Iowa: Wm. C. Brown
4. Rosen, Kenneth. Elementary Number Theory and its Applications, 5th ed., Reading, Massachusetts: Addison-Wesley.

Effectivity Date: January 2, 2020 Rev: 0 Page 11 of 13

 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001

10. Course Evaluation

Class Standing ---------------------------------------------------------------------------------------------------------------------------------------------- 60%
Requirements-------------------------------------------------------------------------------------------------------------------------------- 20%
Recitation------------------------------------------------------------------------------------------------------------------------------------- 20%
Quizzes(ST/LT)------------------------------------------------------------------------------------------------------------------------------ 20%
Midterm Examination -------------------------------------------------------------------------------------------------------------------------------------- 20%
Final Examination------------------------------------------------------------------------------------------------------------------------------------------- 20%

TOTAL ---------------------------------------------------------------------------------------------------------------------------------------------------------100%

11.Resources Needed
A. Textbooks

B. Teaching and Learning Facilities/Equipment

Course Title: Prepared by: Recommending Approval: Approved by:

Date Effective:

2nd Semester SY 2019-2020 Instructor Chairperson, Dean, COE

Secondary Education Program
Date Signed:
Effectivity Date: January 2, 2020 Rev: 0 Page 12 of 13
 Republic of the Philippines
CENTRAL BICOL STATE UNIVERSITY OF AGRICULTURE
Sipocot, Camarines Sur 4408
Website: www.cbsua.edu.ph
Trunkline: (054) 881-6681
Email Address: cbsuasipocot@yahoo.com
CBSUA-SIP-SYL-COE-001

Effectivity Date: January 2, 2020 Rev: 0 Page 13 of 13