course syllabus second sem

8/12/2019 Course Syllabus Second Sem

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MinSC TupholdsRICE Responsibility Involvement Commitment Excellence

COURSE SYLLABUS

VISION

A self-reliant center ofdevelopment in Oriental Mindoro thatprovides sustained leadership ininstruction, research and extension toproduce globally competitive professionalsand appropriate technologies crucial inhelping develop a productive, spiritually,morally upright citizenry in a diverse yetcohesive society.

MISSION

The institution exists to promoteprofessional and technological educationby intensifying instruction and training,conducting more viable and relevantresearches, utilizing knowledge andtechnology, sustaining income generationthrough the adoption of feasible state ofthe art technologies, establishment ofextensive and efficient linkages andnetworking and continuous organizationaldevelopment.

GOAL

Provide and broaden the access toquality education responsive to an evergrowing and dynamic society

OBJECTIVESStrengthen the capabilities of theinstitution to:1. Offer quality education2. Provide opportunities for the youth to

develop their potentials as human

beings and as productive memb

the society3. Expand financial assistance to

but deserving students toward gaccess to education

4. Maximize productivity to sincome generation and

5. Intensify research and exteservices which are relevant tneeds of the community.

LINEAR ALGEBRA MATH 7 3 UNITS 1 CLASS IIA3 THREE HOURS

COURSE TITLE COURSE CODE CREDIT NO. OF CLASSES NO. OF HOURS/WEEK

COURSE DESCRIPTION:

This course introduces to students the basic concepts in Linear Algebra. It covers theories on matrices, vectors and matrices and linear transformations. Students wbe exposed to some practical applications of the concepts. The use of graphing calculators and computer algebra system is highly encouraged.

GENERAL OBJECTIVES:A. COGNITIVE

1. Apply problem-solving skills through solving application problems2. Acquire thorough understanding on the concepts, nature and applications of Linear Algebra

B. AFFECTIVE1. Develop appreciation and positive attitude towards Mathematics

2. Develop patience, determination, and hardwork in any undertaking throughout the courseC. Psychomotor

1. Gather substantial ideas and insights for advanced work on higher Mathematics through researching to outside sources2. Solve problems applying the theorems,definitions and properties on Linear Algebra.


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Course PlanCOURSE CONTENT SPECIFIC

OBJECTIVESSUGEGESTED TEACHINGMETHODOLOGY/STRATEGY

TIME ALLOTMENT EVALUATIVEMEASURES ANDREQUIREMENTS

REMARKS

Midterm

Class OrientationCollege Vision, Mission,Goals and Objectives

College Policies andClassroom Rules andRegulationCourse Syllabus and CourseOutlineGrading System

Be familiarized with,and internalize theCollege Vision, Mission ,

Goals and ObjectivesBe familiarized with theClassroom Rules andRegulation as well asthe with the gradingsystemHave an overview of thecourse

DiscussionInquiry

Week 1 Recitation

Unit ILinear System1.Consistent andIndependent System2. Consistent and DependentSystem

3. Inconsistent System4. Solving Linear System5. Graphing Linear Equationin Three Variables

Describe the three typesof linear systemSolve linear system intwo, three and fourvariables

Graph linear equation inthree variablesDetermine the octantfrom which the a point inspace is locatedGraph linear equationson space and determinethe intercepts and tracesSolve system of linearequations in two, threeand four unknowns

DemonstrationPractical WorkGuided DiscoveryMathematical ModelingSmall and Large Group

Discussion

Week 2 - 3 QuizRecitationGroup ActivityPractice SetProblem Set

Unit II Matrices and MatrixOperation

1. Definition and Types ofMatrices

2. Operation on Matricesand their Properties

Discuss the concept ofmatrices and its types

Perform operation onmatrices

Apply the properties ofmatrix operation

DemonstrationPractical Work

Guided DiscoverySmall and Large GroupDiscussion

Week 4 - 5 QuizRecitation

Group ActivityPractice SetProblem Set


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2.1 Matrix Addition2.2 Scalar Multiplication2.3 Matrix Multiplication2.4 Commuting Square

Matrices2.5 Transpose Operation2.6 Hermitian Conjugate2.7 Trace2.8 Inverse of a 2x2 and

3x3 Matrix

Determine the inverse ofa matrix

Unit III Solutions of LinearSystems1. Inverse of a Matrix

Method2. Gauss-Jordan Reduction

2.1 Row Echelon Form2.2 Reduced RowEchelon Form

3. Cramers Rule3.1 Determinants3.2 Properties ofDeterminants3.3 Application ofDeterminants3.4 Solution of LinearSystem using CramersRule

Solve systems of linearequation using inverseof matrix, GaussianElimination andCramers ruleFind the determinants ofa matrix

Apply the properties ofdeterminants

Guided DiscoveryProblem SolvingDemonstrationPractical Work


MIDTERM EXAMINATION Assess studentslearning

Evaluation Week 9 Written Examination

Finals

Unit IV - Vectors1. Vectors in Rn2. Vector Addition3. Scalar Multiplication

4. Zero Vector5. Transpose of a Vector6. Dot or Inner Product7. Norm of a Vector

Discuss vectors and itsrelated conceptsFind the distance of avector

Find the angle betweentwo vectorsPerform operations onvector

Cooperative LearningDemonstrationDeductive MethodPractical Work

Problem Solving

Week 10 - 14 QuizRecitationGroup ActivityPractice Set

Problem Set


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8. Unit Vectors9. Angle Between Two

Vectors10. Distance Between Two

Vectors11. Problem Solving Involving

Vectors

Unit V - Real Vector Spaces1. Vectors in the Plane and

in 3-Space2. Vector Spaces3. Vector Subspaces

Discuss real vectorspacesVisualize vectors in theplane and three-space

Deductive MethodCooperative LearningBrainstormingGroup Activity

Week 15 QuizRecitationGroup ActivityPractice SetProblem Set

Unit VI - Inner ProductSpaces1. Length and Directions in

R2and R32. Cross Product in R3

Discuss, Illustrate andexplain lineartransformations

DemonstrationBrainstormingExposition and Practice


ADDITIONAL TOPICS:1. Eigenvectors and

Eigenvalues2. Linear Algebra Applications

a. Methods Of Least Squareb. Linear Programming

Discuss and explaininner product spacesExplain the concept ofEigenvectors andeigenvectors and itsapplication

Apply linear algebraconcepts throughmethods of least squareand linear programming

Deductive MethodCooperative LearningBrainstormingProblem Solving

QuizRecitationGroup Activity

AssignmentSeatworkBoard work

FINAL EXAMINATION Assess the learning ofstudents


Required Textbook:

Introductory Linear Algebra with Applications by Bernard Kolman

Suggested Reference Materials:

Elementary Linear Algebra by Bernard Kolman


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Course Requirements:

1. Problem Sets2. One Hundred and One Solved Problems in Linear

Algebra3. Project

Grading System:

Quiz 40%Major Examination 30%Oral and Written Performance 20%Project and Outputs 10%

Merill Algebra 2 with Trigonometry: Applications and Connections by Alan G. FosterAnton, Howard (December 27, 2004), Elementary Linear Algebra (9th ed.), Wiley,ISBN 978-0471669609Bretscher, Otto (June 28, 2004), Linear Algebra with Applications (3rd ed.), Prentice Hall,ISBN 978-0131453340Hansford, Dianne (December 15, 2004), Practical Linear Algebra: A Geometry Toolbox, AK Peters,ISBN 978-1568812342Friedberg, Stephen H.; Insel, Arnold J. & Spence, Lawrence E. (November 11, 2002), Linear Algebra (4th ed.), Prentice Hall,ISBN 978-0130084514Kolman, Bernard & Hill, David R. (May 3, 2007), Elementary Linear Algebra with Applications (9th ed.), Prentice Hall,ISBN 978-0132296540

Prepared by:

POLEMER M. CUARTOInstructor I

Recommending Approval:

PONCIANO S. ABDONHead, Arts and Sciences Department

Approved by:

DR. LEONICIA S. MARQUINEZ

Director for Instruction

Date Submitted : November 5, 2013
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COURSE SYLLABUS

VISIONA self-reliant center ofdevelopment in Oriental Mindoro thatprovides sustained leadership ininstruction, research and extension toproduce globally competitiveprofessionals and appropriatetechnologies crucial in helping developa productive, spiritually, morallyupright citizenry in a diverse yetcohesive society.

MISSIONThe institution exists topromote professional andtechnological education by intensifyinginstruction and training, conductingmore viable and relevant researches,utilizing knowledge and technology,sustaining income generation throughthe adoption of feasible state of the arttechnologies, establishment ofextensive and efficient linkages andnetworking and continuousorganizational development.

GOALProvide and broaden theaccess to quality education responsiveto an ever growing and dynamicsociety

OBJECTIVESStrengthen the capabilities of theinstitution to:1. Offer quality education2. Provide opportunities for the youthto develop their potentials as human

beings and as productive membthe society3. Expand financial assistan

poor but deserving stutoward greater accesseducation


5. Intensify research and extservices which are relevantneeds of the community.

SEMINAR ON PROBLEM SOLVINGIN MATHEMATICS MATH 14 3 UNITS 1 CLASS III A THREE HOURSCOURSE TITLE COURSE CODE CREDIT NO. OF CLASSES NO. OF HOURS/WEE

Course Description:This threeunit course provides creative problem solving techniques and some of the innovative life skills. In concert with our academic learning-to-learn skills a

well-received interactive teaching style, this will provide students with an ideal learning environment, peer support, and new ways of thinking. This will address creative prsolving from a variety of angles to make sure this skill is learned, integrated, and remembered for later in life. Techniques such as looking for a pattern, working backwsolving a simpler problem, parity, pigeonhole principle, mathematical induction and symmetry will be studied.

General Objectives: At the end of the semester, the students should be able to:Cognitive

1. Learn the basic mathematical concepts of problem solving.

2. Have a deep understanding of the different concepts that lead to the collection of knowledge in problem solving.Affective

1. Educate the students about the different innovative life skills in problem solving.


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Psychomotor1. Explore the sea of unknown facts of mathematics and share it to others.

Course Plan

COURSE OUTLINE SPECIFIC OBJECTIVESSUGGESTED TEACHINGMETHODOLOGY/ STRATEGYAND MATERIALS

TIME FRAMEEVALUATIVE MEASURESAND REQUIREMENTS

REMARKS

Class OrientationCollege Vision, Mission,

Goals and ObjectivesCollege Policies andClassroom Rules andRegulationCourse Syllabus and CourseOutlineGrading System

Be familiarized with, andinternalize the College

Vision, Mission , Goals andObjectivesBe familiarized with theClassroom Rules andRegulation as well as thewith the grading systemHave an overview of thecourse

DiscussionInquiry

Week 1 Recitation

UNIT I - INTRODUCTION TOPROBLEM SOLVING-Definition of Problem and Problem

Solving-Principles of Problem Solving-Teaching Creativity ThroughProblem Solving

Research outside sourcesto gather informationCollect data through suchmeans as research andreadings

Discuss the principles ofproblem solvingDiscuss creative problemsolvingDevelop creativity throughproblem solving

LectureGroup DiscussionBrainstormingResearch Based LearningGroup investigationPowerPoint presentations

Week 1-4

QuizzesRecitationGroup WorkResearch OutputsProblem Solving Log

UNIT II - PROBLEM SOLVINGSTRATEGIES AND SKILLS-George Polyas Four Step ProblemSolving Process-Problem Solving Models: Linear vs.Cyclic Model

-Heuristics / Rules of Thumb forSuccessful Problem Solving-Problem Solving Style and

Approaches

Research outside sourcesto gather informationCollect data through suchmeans as research andreadingsDiscuss problem solving

process, models andapproaches

Apply the different problemsolving process, models

LectureGroup DiscussionBrainstormingResearchGroup investigationPowerPoint presentations

Week 6 - 7



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-Edward De Bonos Six ThinkingHats: Six Ways to Approach aDecision

and approaches

UNIT III - LEVELS OF PROBLEMSOLVING- Mountaineering Analogy- Recreational Problems

Research outside sourcesto gather informationCollect data through suchmeans as research andreadingsIdentify mountaineering

analogyDevise recreationalproblems


Week 8 -9


MIDTERM EXAMINATIONAssess students learningfrom the topics covered

EvaluationWeek 9

Written Examination

UNIT IV - STRATEGIES FORINVESTIGATION INMATHEMATICS- Psychological Strategies- Methods of Arguments

Collect data through suchmeans as research andreadingsPresent strategies foreffective learning in math


Week 10-11


UNIT V - FUNDAMENTAL TACTICS- Symmetry- Pigeonhole Principle

Research outside sourcesto gather informationCollect data through suchmeans as research andreadingsUse the principles ofsymmetry and pigeonholein problem solving


Week 1213


UNIT VI - TEACHING PROBLEMSOLVING IN MATHEMATICS-Role of Problem Solving inTeaching Mathematics-Techniques and Approaches inTeaching Problem Solving

Discuss the techniques andapproaches in teachingproblem solving inmathematics

LectureGroup DiscussionBrainstormingResearchGroup investigation

Week 14


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1. Problem Sets2. Problem Solving Logs3. Project4. Microteaching5. Oral and Written Report

Grading System:


-The Dos and Donts in TeachingProblem Solving

PowerPoint presentations

UNIT VII - APPLICATION FOREFFECTIVE LEARNING INMATHEMATICS-Teaching through Problem Solving

Use strategies for effectiveteaching and learning inmathematics problemsolving

Group DiscussionBrainstormingMicro-teaching

Week 15 - 17

Sample Teaching

FINAL EXAMINATION

Assess students learning

from the topics covered

Evaluation

Week 18

Evaluation

Additional TopicsSolving Non-routine Problems takenfrom many branches of mathematicsincluding Number Theory,Geometry, Combinatorics, Analysisand Algebra

Solve non- routineproblems from differentbranches of mathematics

Problem SolvingBrainstormingMindmapping


References:1. How to Solve it by G. Polya2. Techniques of Problem Solving by S. G. Krantz3. The Art of Creative Thinking by John Adair (2007)4. The Art and Craft of Problem Solving by Paul Zeitz (2007)5. Mathematical Excursions : A Problem Solving Primer for Trainers and Olympiad Enthusiasts


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Prepared by:




Approved by:

DR. LEONICIA S. MARQUINEZDirector for Instruction



11/23


COURSE SYLLABUS

VISIONA self-reliant center ofdevelopment in Oriental Mindoro thatprovides sustained leadership ininstruction, research and extension toproduce globally competitiveprofessionals and appropriatetechnologies crucial in helping develop aproductive, spiritually, morally uprightcitizenry in a diverse yet cohesivesociety.

MISSIONThe institution exists to promoteprofessional and technological educationby intensifying instruction and training,conducting more viable and relevantresearches, utilizing knowledge andtechnology, sustaining income generationthrough the adoption of feasible state ofthe art technologies, establishment ofextensive and efficient linkages andnetworking and continuous organizationaldevelopment.

GOALProvide and broaden the accessto quality education responsive to anever growing and dynamic society

OBJECTIVESStrengthen the capabilities of the

institution to:1. Offer quality education2. Provide opportunities for the

youth to develop their potentialsas human beings

and as productive memberssociety

3. Expand financial assistanpoor but deserving stutoward greater accesseducation


5. Intensify research and extservices which are relevantneeds of the comm

PROBABILITY AND STATISTICS MATH 3 3 UNITS 3 CLASSESS IIF1-F3 THREE HOURSCOURSE TITLE COURSE CODE CREDIT NO. OF CLASSES NO. OF HOURS/WEE

COURSE DESCRIPTION:

This course provides the students with the basic concepts of statistics and how to use statistical methods with emphasis basically on descriptive statistics. It alsowith the fundamentals of probability, probability distributions and the use of statistical inference such as interval estimation and hypothesis testing through chi square and anof variance. Regression and correlation analysis and forecasting methods are also taken up as statistical tools in problems related to business and economics. In this coursstudents will also learn how to use statistical presentations as an aid to reporting information and to use computers to generate statistical presentations of data.

GENERAL OBJECTIVES:

At the end of the semester, the students should be able to:Cognitive1. Acquire a deep and principled knowledge and understanding on the concepts, nature and applications of Statistics and Probability


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Affective1. Develop appreciation and positive attitude towards Statistics2. Develop patience, determination, and hard work in any undertaking throughout the course

Psychomotor1. Utilize computer and other technologies in the activities throughout the course

Course PlanCOURSE CONTENT SPECIFIC OBJECTIVES SUGEGESTED TEACHING

METHODOLOGY/STRATEGYTIME ALLOTMENT EVALUATIVE

MEASURES ANDREQUIREMENTS

REMARKS

Class Orientation1. College Vision, Mission,

Goals and Objectives2. College Policies and

Classroom Rules andRegulation

3. Course Syllabus andCourse Outline

4. Grading System

Familiarize and internalizethe College Vision,Mission , Goals andObjectivesBe familiarized with theClassroom Rules andRegulation as well as thewith the grading systemHave an overview of thecourse

Week 1

UNIT I - Introduction to Statistics1. Definition of Statistics2. Uses of Statistics3. Fields of Statistics4. Constants and

Variables5. Data Collection

Define StatisticsCite the importance ofStatistics in different fieldof human endeavorsSummarize the differentclassifications of variablesand dataDetermine the mostappropriate way ofselecting a sample andcollecting data in aparticular study

Concept AttainmentCooperative LearningDemonstrationExposition and PracticeBrainstorming

Week 2-3 QuizzesRecitationGroup Activity


UNIT II - Organization andPresentation of Data

1. Forms ofPresentation of Data2. Different Kinds of

Graphs and Charts

Identify the advantagesand disadvantages of

each form of presentingdataRecognize the uses ofeach form of presenting

DemonstrationExposition and Practice

Problem SolvingGroup Activities

Week 4 QuizzesRecitation

Group ActivityAssignmentSeatworkBoard work


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3. Interpretation ofGraphs

dataOrganize collected dataand present them in anappropriate formConstruct graphs andcharts

UNIT III - Frequency Distribution1. Definition of

FrequencyDistribution

2. Construction ofFrequencyDistribution Table

3. CumulativeFrequencyDistribution

4. Relative FrequencyDistribution

5. GraphicalRepresentation ofFrequencyDistribution

Construct a frequencydistribution for a given setof dataPrepare a frequency

distribution tableGraph the frequencyhistograms, polygons andogivesDraw a cumulative andrelative frequencydistributionInterpret the result of thegraph

Concept AttainmentCooperative LearningDemonstrationGroup Activities


Assignment

SeatworkBoard work

UNIT IV - Measures of Central

Tendency1. Mean2. Median3. Mode4. Quantiles

Differentiate grouped from

ungrouped dataDefine mean, median andmodeCalculate mean, medianand mode of ungroupedand grouped dataCalculate quantiles

Concept Attainment

Cooperative LearningDemonstrationExposition and Practice

Week 7-8 Quizzes

RecitationGroup Activity


Midterm Examination Assess the learning ofstudents

Week 9

UNIT V - Measures of Variability1. Range2. Mean Deviation3. Interquartile Range

and QuartileDeviation

4. Variance and

Define variability andillustrate its meaningInterpret dispersion ofscores whether

homogeneous orheterogeneousCalculate range, mean

DemonstrationCooperative LearningExposition and Practice

Week 6 - 7 QuizzesRecitationGroup Activity

Assignment

SeatworkBoard work


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Standard Deviation deviation, interquartilerange, quartile ofdeviation, variance andstandard deviation ofgrouped and ungroupeddata

UNIT VI - Principles of Countingand Theories ofProbability1. The Fundamental

Counting Principle2. The Counting

Principle forAlternative Cases

3. Factorial4. Permutation5. Combination6. Types of Probability7. Sample Spaces and

Events8. Operations with

Events9. Rules of Probability

10. Additive Rules11. Conditional

Probability12. Multiplication Rules

Apply the differentcounting techniques indetermining the samplepoints

Define permutation andillustrate its meaningDefine combination andillustrate its meaning

Apply theories ofprobability in single orsuccessive events

Cooperative LearningDemonstrationExposition and Practice

Week 14 -17 QuizzesRecitationGroup Activity

Assignment

SeatworkBoard work



ADDITIONAL TOPICS:Probability Distributions

1. Binomial Distribution2. Poisson Distribution3. Hypergeometric

Distribution4. Normal Distribution

Differentiate the differenttypes of probabilitydistributionDetermine probabilityvalues given someconditions of binomialdistribution, poisson

distribution,hypergeometricdistribution and normaldistribution

DemonstrationGuided DiscoveryBrainstormingExposition and Practice

QuizzesRecitationGroup Activity



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1. Compilation of Problem Sets2. Project3. Oral and Written Report4. Enrichment Activity

Grading System:


Suggested Reference Materials:Basilio, Faith B.,et al,Fundamental Statistics,Trinitas Publishing Inc.,2003

Albert, Jose Ramon G.,Basic Statistics for the Tertiary Level, Rex Printing Company Inc.,2008Tattao, Luis A., Basic Concepts in Statistics, Rex Printing Company Inc.,2007Altares, Priscilla S. et al. Elementary Statistics with Computer Applications. Rex Printing Company Inc.,2005Elementary Statistics by Priscilla Altares

Prepared by:




Approved by:




16/23


COURSE SYLLABUS

VISIONA self-reliant center ofdevelopment in Oriental Mindoro thatprovides sustained leadership ininstruction, research and extension toproduce globally competitiveprofessionals and appropriatetechnologies crucial in helping develop aproductive, spiritually, morally uprightcitizenry in a diverse yet cohesivesociety.

MISSIONThe institution exists to promote

professional and technologicaleducation by intensifying instruction andtraining, conducting more viable andrelevant researches, utilizing knowledgeand technology, sustaining incomegeneration through the adoption offeasible state of the art technologies,establishment of extensive and efficientlinkages and networking and continuousorganizational development.

GOALProvide and broaden the access

to quality education responsive to anever growing and dynamic society

OBJECTIVESStrengthen the capabilities of the

institution to:1. Offer quality education2. Provide opportunities for the

youth to develop their potentialsas human beings and as

productive members osociety

3. Expand financial assistanpoor but deserving stutoward greater accesseducation


5. Intensify research and exteservices which are relevantneeds of the comm

PROBABILITY MATH 13 3 UNITS 1 CLASS III A THREE HOURSCOURSE TITLE COURSE CODE CREDIT NO. OF CLASSES NO. OF HOURS/WEEK

COURSE DESCRIPTION:This course introduces students to the mathematics of chance which includes counting techniques, probability distributions and mathematical expectations. This cou

exemplifies the usefulness of Mathematics in decision making.


1. Apply the acquired knowledge and skills in decision making2. Acquire a deep and principled understanding on the concepts, nature and applications of Probability

B. AFFECTIVE

1. Develop appreciation and positive attitude towards Mathematics2. Develop patience, determination, and hardwork in any undertaking throughout the courseC. Psychomotor

1. Gather substantial ideas and insights for advanced work on higher Mathematics


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2. Solve problems applying the theorems, definitions and properties on Probability.


METHODOLOGY/STRATEGYTIME ALLOTMENT EVALUATIVE MEASURES

AND REQUIREMENTS

Midterm

Class OrientationCollege Vision, Mission,Goals and ObjectivesCollege Policies andClassroom Rules andRegulationCourse Syllabus andCourse OutlineGrading System

Be familiarized with, andinternalize the College Vision,Mission , Goals and ObjectivesBe familiarized with theClassroom Rules andRegulation as well as the withthe grading systemHave an overview of the course

DiscussionInquiry

Week 1 Recitation

History and Pioneers ofProbability

Trace the history and pioneeringmathematicians of Probability

Panel DiscussionStudent Team AchievementdivisionRole PlaySimulation

Week 1 QuizzesRecitationGroup Activity


Sample Space Fundamental Counting

Principle

Determine the sample space ofexperimentsCount the elements of samplespacesand events using the FCP

DemonstrationDeductive MethodCooperative LearningBrainstorming

Week 2QuizzesRecitationGroup Activity


Permutation Combination

Count the elements of samplespacesand events using permutationand combination

Guided DiscoveryProblem SolvingDemonstrationBrainstormingExposition and Practice



The Concept ofProbability

Union and Intersection ofEvents

Mutually ExclusiveEvents

Calculate the Probability ofevents using the principles ofcounting

Apply the properties and rules ofprobability in solving problems

Guided DiscoveryProblem SolvingExposition and Practice




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Complementary Events Independent Events Dependent Events

Conditional Probability Find the probabilty of eventsunder conditional probability


Cooperative LearningDemonstration



MIDTERM EXAMINATION Assess students learning about

the topics covered

Week 9

Finals

Probability Distributions Probability Distributions

Functions Continuous Probability

Distribution

Apply the properties and rules ofprobability in solving problemsDistinguish the types of randomvariables and probabilitydistributions

Cooperative LearningDemonstrationDeductive Method



Discrete ProbabilityDistributions

Binomial Distribution Geometric Distribution Hypergeometric

Distribution Negative Binomial

Distribution Poisson Probability

Distribution


Apply appropriate probabilitydistributions in calculatingprobabilities

Deductive MethodCooperative LearningBrainstormingGroup Activity


AssignmentSeatwork

Board work

Normal Distribution Apply the properties and rules ofprobability in solving problems

DemonstrationBrainstormingExposition and Practice



Mathematical Expectation Apply the properties and rules ofmathematical expectation in

solving problems

Deductive MethodCooperative Learning

BrainstormingProblem Solving

Week 17 QuizzesRecitation

Group ActivityAssignmentSeatwork


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1. Problem Sets2. 101 Solved Problems in Probability3. Project4. Oral and Written Report5. Enrichment Activity

Grading System:


Board work

FINAL EXAMINATION Assess the learning of students Week 18

Suggested Reference Materials:Basilio, Faith B.,et al,Fundamental Statistics,Trinitas Publishing Inc.2003

Albert, Jose Ramon G.,Basic Statistics for the Tertiary Level, Rex Printing Company Inc.2008Tattao, Luis A., Basic Concepts in Statistics, Rex Printing Company Inc.2007Altares, Priscilla S. et al. Elementary Statistics with Computer Applications. Rex Printing Company Inc.2005Soong, T. Fundamentals of Statistics and Probability for Engineers.John Wiley and Sons, Ltd. 2004

Prepared by:

POLEMER M. CUARTO

Instructor I



Approved by:




20/23


COURSE SYLLABUS

VISIONA self-reliant center of

development in Oriental Mindoro thatprovides sustained leadership ininstruction, research and extension toproduce globally competitive professionalsand appropriate technologies crucial inhelping develop a productive, spiritually,morally upright citizenry in a diverse yetcohesive society.

MISSIONThe institution exists to promote

professional and technological educationby intensifying instruction and training,conducting more viable and relevantresearches, utilizing knowledge andtechnology, sustaining income generationthrough the adoption of feasible state ofthe art technologies, establishment ofextensive and efficient linkages andnetworking and continuous organizationaldevelopment.

GOALProvide and broaden the access to

quality education responsive to an evergrowing and dynamic society

OBJECTIVESStrengthen the capabilities of theinstitution to:

1. Offer quality education2. Provide opportunities for the youth

to develop their potentials as

human beings and as prod

members of the society3. Expand financial assistan

poor but deserving stutoward greater accesseducation


5. Intensify research and extservices which are relevant needs of the community.

CONTEMPORARY MATHEMATICS MATH 102 3 UNITS 3 CLASSES I A5-A7 THREE HOURSCOURSE TITLE COURSE CODE CREDIT NO. OF CLASSES NO. OF HOURS/WE

COURSE DESCRIPTION:

This course offers to the students an opportunity to learn when and how mathematics can be used in many different real-life situations. Consequently, this course wstudents expand their content knowledge in mathematics. The approach is to contextualize the concepts problem solving is a central feature of this course.

This course aims to integrated mathematics theories with reality, thereby increasing the level of mathematical literacy of Filipinos. Problem solving is a central feathis course. The use of graphing calculators and computer algebra system is highly encouraged.


1. Acquire thorough understanding on the concepts, nature and applications of Contemporary MathematicsB. AFFECTIVE

1. Develop appreciation and positive attitude towards Mathematics2. Develop patience, determination, and hardwork in any undertaking throughout the course

C. Psychomotor


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1. Gather substantial ideas and insights for advanced work on higher Mathematics through researching to outside sources2. Solve routine and non-routine problems accurately


METHODOLOGY/STRATEGYTIME ALLOTMENT EVALUATIVE

MEASURES ANDREQUIREMENTS

REMARKS

Class Orientation1. College Vision, Mission,

Goals and Objectives

2. College Policies andClassroom Rules andRegulation

3. Course Syllabus and CourseOutline

4. Grading System

Familiarize and internalizethe College Vision, Mission ,Goals and Objectives

Be familiarized with theClassroom Rules andRegulation as well as thewith the grading systemHave an overview of thecourse

DiscussionInquiry

Week 1 Recitation

UNIT I - Algebra1. Basic Terms in Algebra2. Operation on Polynomials3. Laws of Exponents4. Factoring5. Operation on Radicals6. Linear Equations

7. System of Linearequations

Define basic terms inAlgebraPerform operations onpolynomials

Apply laws of exponentPerform operations onradicals

Solve linear equationsSolve system of linearequations

Concept AttainmentCooperative LearningDemonstrationExposition and PracticeBrainstorming



UNIT IIStatistics1. Basic Terms in Statistics2. Measures of Central

Tendency3. Measures of Variability

Define basic terms inStatisticsDetermine the measures ofcentral tendency andvariability in a given data

DemonstrationExposition and PracticeProblem SolvingGroup Activities



UNIT III - Probability1. Sample Space2. Fundamental Counting

Principles

3. Permutation4. Combination5. Probability of an Event

Determine the sample spaceof an experimentUse FCP in determining thesample space

Solve permutation andcombination problemsDetermine the probability of

Concept AttainmentCooperative LearningDemonstrationGroup Activities

Practical WorkExperiment


Assignment

SeatworkBoard work


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an event

Midterm Examination Assess the learning ofstudents

Week 9

UNIT IVGeometry1. Similarity

1.1 Similar Shapes1.2 Similar Triangles 2.

2. Measurement2.1 Proportions with

Perimeters, Areas andVolumes

Define similar polygonsDetermine if two figures aresimilarFind the measures of thecorresponding parts ofsimilar polygons using

proportionsCalculate similarity ratio ofsimilar polygonsSolve real-life problemsinvolving similar figures

Cooperative LearningDemonstrationExposition and PracticeProblem SolvingGuided Discovery



UNIT VExponential andLogarithmic Functions1. Exponential Function2. Logarithmic Function3. Solving Exponential and

Logarithmic Equations

State the laws of logarithmsApply the laws of logarithmsin expanding and condensinglogarithmic expressionsSolve exponential andlogarithmic equations

DemonstrationExposition and PracticeCooperative LearningProblem SolvingGuided Discovery



UNIT VIPatterns, Symmetry,

Sequences and Series1. Patterns and Symmetry in

Sequences and Series2. Arithmetic Sequences and

Series3. Geometric Sequences and

Series

Define sequence and series

Find pattern in a sequenceSolve arithmetic andgeometric sequence andseries

Demonstration

Exposition and PracticeCooperative LearningProblem SolvingGuided Discovery

Week 16 -18 Quizzes

RecitationGroup Activity




ADDITIONAL TOPICS:Quadratic Equation

1. Solving Quadratic EquationUsing Different Methods

2. Solving Problems involvingQuadratic Equations

Solve quadratic equationsSolve problems involvingquadratic equations

DemonstrationGuided DiscoveryBrainstormingExposition and Practice

Problem Solving

QuizzesRecitationGroup Activity

Assignment

SeatworkBoard work


23/23



1. Compilation of Problem Sets2. Project3. Oral and Written Report4. Enrichment Activity

Grading System:


Suggested Reference Materials:1. Acelejado, Beronque and Co., 2001. A lgebra Concepts and Processes, Flacson Enterprises.2. Sta. Maria, Antonina C. et. al, 2008, College Mathematics A Modern Approach, National Bookstore Inc.3. Alferez, Mark S. and Lambiano, Alvin E., 2005, Geometry, MSA Academic Advancement Institute.4. Ibaez, Edwin, et. al, 2008, College Algebra, Jimcy Publishing House.5. Elauria, Paulaspiera A. et. al, 2009, A Worktext in Algebra, Mutya Publishing House Inc.6. Daisy De Borja-Marcelino et. al, 2011, Contemporary Mathematics, Lorimar Publishing Inc.7. Basilio, Faith B.,et al,Fundamental Statistics,Trinitas Publishing Inc.20038. Albert, Jose Ramon G.,Basic Statistics for the Tertiary Level, Rex Printing Company Inc.2008

Prepared by:

POLEMER M. CUARTO

Instructor I



Approved by:



course syllabus second sem

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