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    STUDENT STUDY GUIDE

    JABATAN MATEMATIK, SAINS DAN KOMPUTER

    POLITEKNIK KOTA BHARU

    DECEMBER 2013 SESSION

    1. NAMA PENSYARAH : WAN SITI RODZIAH BT MOHD NASIRNO. TEL : 013-9300659

    LOKASI PEJABAT : JABATAN MATEMATIK, SAINS & KOMPUTER

    KURSUS : BA601 (ENGINEERING MATHEMATICS 5)

    MATA KREDIT : 2

    PROGRAM : ____________________________________

    2. COURSE LEARNING OUTCOME (CLO)Upon completion of this course, students should be able to:

    a) Find the values for hyperbolic, inverse hyperbolic and inverse trigonometric functionsbased on solid comprehension of these functions.

    b) Respond to the given problems by using advanced differentiation and integrationformula.

    c) Analyze the solutions of first and second order differential equations by using theappropriate methods.

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    3. DISTRIBUTION OF STUDENT LEARNING TIME (SLT) ACCORDING TO COURSE LEARNINGTEACHING ACTIVITY

    No. Learning and Teaching Activity SLT

    FACE TO FACE

    1 Delivery Method

    Lecture (2 hours x 15 weeks) Tutorial (1 hour x 15 weeks)

    30

    15

    2 Coursework Assessment (CA)

    Lecture-hour-assessment

    Test (2) Quiz (1) Group Discussion (2)

    Tutorial-hour-assessment

    Tutorial Exercise (4)

    2

    NON FACE TO FACE

    3 Coursework Assessment (CA)

    End of Chapter (1) 54 Preparation and Review

    Lecture (1 hour x 15 weeks)

    Preparation before theory class eg: download lesson notes.

    Review after theory class eg: additional references, discussiongroup, discussion

    Tutorial (0.5 hour x 15 weeks)

    Preparation for tutorialAssessment

    Preparation for test (2) : (2 hours x 2 = 4) Preparation for quiz (1) : (1 hours x 1 = 1)

    15

    8

    5

    Total 80

    Credit = SLT/40 2

    Remarks:

    Suggested time for

    Quiz : 1015 minutes Test (Theory) : 2030 minutes Test (Practical) : 4560 minutes

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    4. TOPICWEEK COURSE OUTLINE ASSESSMENT

    WEEK 2WEEK 3

    1/12/13- 19/12/13

    1. HYPERBOLIC, INVERSE HYPERBOLIC AND INVERSE TRIGONOMETRICFUNCTIONS

    Hyperbolic functions (define; values; graphs; identities) Inverse hyperbolic functions (define; values; graphs; derive the

    formulae)

    Tutorial Exercise1

    WEEK 4

    29/12/13

    02/01/13

    1. HYPERBOLIC, INVERSE HYPERBOLIC AND INVERSE TRIGONOMETRICFUNCTIONS

    Inverse trigonometric functions (define; principal values; solveequations)

    Quiz 1

    WEEK 5WEEK 6

    05/01/13- 16/01/14

    2. ADVANCED DIFFERENTIATION Advanced differentiation of inverse trigonometric functions,

    hyperbolic functions, inverse hyperbolic functions and implicit

    functions.

    Theory Test 1

    Tutorial Exercise 2

    WEEK 7WEEK 8

    19/01/14- 30/01/14

    2. ADVANCED DIFFERENTIATION Partial differentiation (define; first order; second order) Total differentiation (define; problems regarding rates of

    changes)

    Tutorial Exercise 3

    WEEK 9

    WEEK 10

    09/02/14 - 20/02/14

    3. ADVANCED INTEGRATION Advanced integration of inverse trigonometric functions,

    hyperbolic functions, inverse hyperbolic functions, partial

    fraction.

    End of Chapter 1

    WEEK 11

    23/02/1427/02/14

    3. ADVANCED INTEGRATION Using and integration by parts

    Tutorial Exercise 4

    Theory Test 2

    WEEK 12WEEK 13

    02/03/14- 13/03/14

    4. DIFFERENTIAL EQUATION Identify type and construct the differential equations. Solve first order using direct integration, separating the variables,

    substitution (homogenous) and integrating factors (linear)

    Group Discussion 1

    WEEK 14WEEK 15

    16/03/1427/03/14

    4. DIFFERENTIAL EQUATION Use the auxiliary equation to solve second order homogenous

    equations.

    Group Discussion 2

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    5. ASSESSMENTThe course assessment is carried out in two sections:

    i. Coursework (CA) : 50%Continuous assessment that measures knowledge, technical skill and soft skills.

    CONTEXT

    ASSESSMENT METHODS FOR COURSEWORK (CA)

    Theory Test QuizTutorial

    Exercise

    Group

    Discussion

    End of

    Chapter

    30% 10% 20% 20% 20%

    Hyperbolic, Inverse Hyperbolic And

    Inverse Trigonometric FunctionsT1 Q1 TE1

    Advanced Differentiation

    T2

    TE2

    TE3EOC1

    Advanced Integration TE4

    Differential EquationGD1

    GD2

    ii. Final Examination (FE) : 50%Carried out at the end of the semester.

    6. REFERENCEi. Abd Wahid Md Raji et al (2003) Calculus for Science and Engineering Students. Universiti

    Teknologi Malaysia & Kolej Universiti Tun Hussein Onn

    ii. Anton, H. (1999). Calculus: A New Horizon. New York: John Wiley & Sons Inc.iii. Bird, J. O. & May, A.J.C. (1997). Technician Mathematics 1-5. Longman.iv. Bostock, L. & Chandler, S. (2000). Core Mathematics for Advanced Level. Stanley

    Thornes (Pub.) Ltd.

    v. Cheng Siak Peng. Teoh Sian Hoon. Ng Set Foong. (2006). Mathematics for Matriculation2 (3th ed.). Oriental Academic Publication.

    vi. Finney, R. L. & Thomas, G.B. (1993). Calculus (2nd ed.). Addison-Wesley PublishingCompany.

    vii. Stroud, K. A. (1993). Further Engineering Mathematics. Hampshire: ELBSviii. Stroud, K.A. (2007). Engineering Mathematics (6th ed.). Palgrave Macmillan.

    ix. Thorning, D. W. S. & Sadler, A. J. (1999). Understanding Pure Mathematics. OxfordUniversity Press.

    x. Yong Zulina Zubairi et al (2006) Mathematics for STPM & Matriculation: Calculus.Thompson