Tsu Obtl Plan_math6a.doc

Republic of the Philippines

TARLAC STATE UNIVERSITY VISION Tarlac State University is envisioned to be a premier university in Asia and the Pacific. MISSION Tarlac State University commits to promote and sustain the offering of quality and programs in higher and advanced education ensuring equitable access to education for people empowerment, professional development, and global competitiveness. Towards this end, TSU shall: 1. Provide high quality instruction trough qualified, competent and adequately trained faculty members and support staff. 2. Be a premier research institution by enhancing research undertakings in the fields of technology and sciences and strengthening collaboration with local and international institutions. 3. Be a champion in community development by strengthening partnership with public and private organizations and individuals. CORE VALUES E - xcellence Q – uality U – nity I - ntegrity T – rust in God, Transparency & True Commitment Y – earning for Global Competitiveness

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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College of Engineering Department of Mathematics and Engineering Sciences Outcomes-Based Teaching and Learning Plan in Differential Calculus Course Title

Differential Calculus

Course Code

Math 6A

Credit Units

4

Course Pre-/Corequisites

Math 5B, Math 1B

Course Description

Basic concepts of calculus such as limits, continuity and differentiability of functions; differentiation of algebraic and transcendental functions involving one or more variables; applications of differential calculus to problems on optimization, rates of change, related rates, tangents and normals, and approximations; partial differentiation and transcendental curve tracing.

Course Intended Learning Outcomes (CILO)

After completing this course, STUDENTS MUST HAVE DEMONSTRATED 1. Basic concepts of limit and continuity of functions by sketching them using their domain, range and asymptotes; 2. Correct differentiation of algebraic and transcendental functions; 3. Correct solution to word problems involving optimization, related rates, tangents and normals, and approximation;

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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PROGRAM MAPPING GRID Courses Math 1E Math 2A Math 5B Math 1F Math 1B Math 6A Math 7A Math 8 Math 9 Math16 Math 10E Math 11A Math 11AL Codes: 3 To a Large Extent

2=To Some Extent

College Algebra Plane and Spherical Trigonometry Analytic and Solid Geometry Advanced College Algebra Solid Mensuration Differential Calculus Integral Calculus Differential Equations Probability and Statistics Engineering Economy Advanced EE Engineering Math Numerical Methods with Comp. Apl Num. Methods with Comp. Apl. Lab

Cre 2 2 2 2 2 2 2 2 2 2 2 2 2

PS 3 3 3 3 3 3 3 3 3 3 3 3 3

CT 3 3 3 3 3 3 3 3 3 3 3 3 3

DML 2 2 2 2 2 2 2 2 2 2 2 2 2

Com 2 2 2 2 2 2 2 2 2 2 2 2 2

Col 2 2 2 2 2 2 2 2 2 2 2 2 2

ICT 1 1 1 1 1 1 1 1 1 1 1 1 1

IL 1 1 1 1 1 1 1 1 1 1 1 1 1

Cit 1 1 1 1 1 1 1 1 1 1 1 1 1

LC 2 2 2 2 2 2 2 2 2 2 2 2 2

PSR 1 1 1 1 1 1 1 1 1 1 1 1 1

1= To a little Extent

Legend: (Note: Program Objectives as per CHED Memos shall be corresponded with the listed Graduate Attributes.) Cre Creativity PS Problem Solving CT Critical Thinking DML Decision Making & Learning Com Communication Col Collaboration ICT Information and Communications Technology IL Information Literacy Cit Citizenship PSR Personal and Social Responsibility

LC Life and Career

COURSE MAPPING GRID

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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Directions: As a department, you are to prepare your course mapping grid that will identify soft skills emphasis in every course in the discipline. In this activity, you are to prioritize the 21 st Century skills that you wish to develop in your students as they progress in the course. The level of emphasis may be coded as 3= to a large extent; 2= to some extent; 1 to a little extent. UNIT Functions, Limits and Continuity Derivative of a Function Application 1: Tangent and Normals

Codes: 3 To a Large Extent

2=To Some Extent

Cre

PS

CT

1

3

2

DML 1

Com 1

1

1

Col 1

ICT 2

IL 2

Cit

1

1

1

1

Week 1-2

Content Standards

Demonstrate knowledge of the basic concepts of

PSR

1= To a little Extent

Legend: (Note: Program Objectives as per CHED Memos shall be corresponded with the listed Graduate Attributes.) Cre Creativity PS Problem Solving CT Critical Thinking DML Decision Making & Learning Com Communication Col Collaboration ICT Information and Communications Technology IL Information Literacy Cit Citizenship PSR Personal and Social Responsibility

Liminal Period (MIDTERM/FINAL TERM)

LC

LC Life and Career

Unit 1: Essential Learning Declarative Knowledge Functional Knowledge  Functions

Definition and examples of function,

Intended Learning Outcomes (ILO) Describe and differentiate between functions and

Suggested Teaching/Learning Activities (TLAs)  

Lecture and Examples Readings and Internet search

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

Assessment Tasks (ATs) Recitation or essay question assignment

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its domain and range

functions, limits and continuity;

Limit of a function

relations; identify their domain and range; and explain other terms such as variables, constants, independent and dependent variables.



Concept of limit of a function

Demonstrate understanding of limits by applying different properties and theorems in finding the limit of a function



Graph of function with asymptotes



Conditions of continuity

Sketch graph of algebraic functions applying knowledge of its domain, limits or asymptotes, and its continuity.

Continuity of a function

 

Buzz Group Discussion and presentation Working through sample problem on sketching an algebraic function, identifying its domain and range, discontinuity or asymptotes.

Quiz #1

Expanded Learning Opportunities: (as a result of low rating in diagnostic exam), as a teacher you will do:  Peer teaching  Collaborative teaching, etc. To bring out required outcome from the student. Note: ELO can also cater to fast learners by giving them advanced topics to work with. Input Material/Resources  Chalk, eraser, board  Questionnaire for each group to work with (for example a problem on sketching graph of an algebraic function or evaluation of limits of a function showing the left hand and right hand limits and limits at infinity) Output Materials  Graded Oral Report of each group  Result of Quiz #1

2-3

Demonstrate understanding of the geometric meaning of derivative

The Derivative



Slope of curve at a point



Rate of Change



Derivative as limit of a function Derivative interpreted as slope Derivative interpreted as rate of change

Use concepts to solve nonroutine problems and critique lecture presentation



Lecture and Examples

Reaction Paper



Video Presentation

Quiz #2

Input Material/Resources  Chalk, eraser, board  LCD Projector, laptop Output Materials

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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 

3-10

Demonstrate competence in obtaining the derivative of a function

 

 

10-11

Demonstrate competence in obtaining accurate approximation of quantities

Algebraic Functions Trigonometric Functions and Inverse Trigonometric Functions Exponential and logarithmic Functions Hyperbolic and inverse hyperbolic functions

Approximation



Differentiation Formulas

Apply differentiation formulas in obtaining derivative of algebraic and transcendental functions

Reaction Paper Quiz #2

 Lecture discussion  Working through Examples Input Material/Resources  Chalk, eraser, board

Solution to Problem Set Quiz #3

Output Materials  Solution to problem set  Quiz #3



The Differential

Apply differentials in solving problems involving approximation

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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11-15

Demonstrate competence in solving maxima/minima word problems

Polynomial Curves

Sketching polynomial curves

Apply steps in sketching polynomial curves and use first and second derivative test



Maxima/minima word problems

Solve problems using concept of first derivative equated to zero to obtain the optimum value



Time rates

Solve problems using concept of first derivative as rate with respect to time

Input Material/Resources Output Materials



15-16

16-17



Partial Differentiation



TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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Basic Readings

Extended Readings

Course Assessment

Course Policies

To be discussed by the Committee on Grading System

Language of Instruction The language of instruction is English. Attendance

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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Homework, Written Reports and Reaction Papers

Course Portfolio Honor, Dress and Grooming Code

Committee Members

Cluster Leader: Members:

Consultation Schedule

Faculty Member : Email-address : Consultation Hours : Time and Venue :

Course Title

AY/Term of Effectivity

Prepared by

Recommending Approval

Pages: Department Chair

Dean

Approved

DR. LOLITA V. SICAT Vice President for Academic Affairs

TSU College of Engineering OBTL Plan in Math6A-Differential Calculus

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