student study guide dis2013
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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