Chapter_0_-_Introduction.pptx

INTRODUCTIONPCL0016 Calculus

Trimester 2 Session 2013/14

Credit hours: ◦ 4

Pre-requisites: ◦ PPC0016 – Pre-Calculus◦ PTG0016 – Trigonometry and Coordinate

Geometry

PCL0016 Calculus

To provide students with a sound understanding of basic calculus in preparation for the degree courses.

Objective

To acquire basic knowledge and principles of science and engineering and fundamental principles of computer technology and sciences for Engineering and IT students.

Programme Learning Objective

1) Solve problems related to limits of various functions.

2) Find the derivatives and integrals of polynomial, exponential, logarithmic and trigonometric functions.

3) Solve problems related to the application of differentiation and integration.

4) Solve first- and second-order differential equations with constant coefficients.

Learning Outcomes

Course Outline

Topic Content Outline1 Limits and Continuity

Limits: Intuitive approach and computation. Limits at infinity. End behaviour of a function. Continuity. Continuity of trigonometric, exponential and inverse functions.

2 The DerivativeTangent lines and rates of change. The derivative function. Introduction to techniques of differentiation. Product and quotient rules. The chain rule. Derivatives of trigonometric, exponential, logarithmic and inverse trigonometric functions. Related rates. Differentials and local linear approximation. Indeterminate forms. L’Hôpital’s Rule.

3 Applications of Differentiation Analysis of functions. Increase, decrease and concavity. Relative extrema, graphing polynomials. Rational functions, cusps and vertical tangents. Absolute maxima and minima. Applied maximum and minimum problems. Rectilinear motion.

Topic Content Outline

4 Integration The area problem. The definite integral. Integration by substitution. Area in sigma notation and the definite integral. The fundamental theorem of calculus. Integrals of trigonometric, exponential and logarithmic functions. Rectilinear motion (revisited). Average value and its applications. Evaluating definite integrals by substitution. Integration by parts and partial fractions.

5 Applications of Integration Area between two curves. Volumes of solids of revolution: slicing and cylindrical shells. Length of a plane curve. Work.

6 Introduction to Differential Equations Modeling with differential equations. First- and second-order linear differential equations with constant coefficients.

Assessment MethodsAssessment Components Marks Coverage

1 4 Quizzes (each 5%) 20% Covers Chapter 1, 2, 3 & 4

2 2 Midterm Tests (each 15%) 30% Covers Chapter 1, 2, 3, 4 & 5

3 Final Exam (4 questions compulsory)

50% Covers all chapters

Total1

100%

Lecture PlanWeek Date Lecture Tutorial Quiz Midterm Final Exam Note

1 21 Oct - 25 Oct Chapter 1(4 hours)

Tutorial 1(1 hour)

2 28 Oct - 1 Nov Chapter 1(2 hours)Chapter 2(2 hours)

Tutorial 1(1 hour)

Quiz 1

3 4 Nov - 8 Nov Chapter 2(4 hours)

Tutorial 2(1 hour)

Public Holiday: Awal Muharam (Tue, 5 Nov)

4 11 Nov – 15 Nov Chapter 2(2 hours)Chapter 3(1 hour)

Tutorial 2(2 hours)

Quiz 2


Tutorial 3(1 hour)


Tutorial 3(1 hour)

7 2 Dec -6 Dec Chapter 3(1 hour)Chapter 4(2 hours)

Tutorial 3(2 hours)

Quiz 3

8 9 Dec - 13 Dec Chapter 4(4 hours)

Tutorial 4(1 hour)

Midterm test 1 (9 Dec, 8pm)-TBC

Public Holiday: Sultan of Selangor’s Birthday (Wed, 11 Dec )

9 16 Dec - 20 Dec Chapter 4(2 hours)Chapter 5(1 hour)

Tutorial 4(2 hours)

Supp Midterm test 1 (16 Dec, 8pm)-TBC

10 23 Dec - 27 Dec Chapter 5(4 hours)

Tutorial 5(1 hour)

Quiz 4 Public Holiday: Christmas (Wed, 25 Dec )

11 30 Dec - 3 Jan Chapter 5(4 hours)

Tutorial 5(1 hour)

Public Holiday: New Year (Wed, 1 Jan)

12 6 Jan - 10 Jan Chapter 5(1 hour)Chapter 6(2 hour)

Tutorial 5(2 hours)

Midterm test 2 (9 Jan, 8pm)-TBC

13 13 Jan - 17 Jan Chapter 6(3 hours)

Tutorial 6(2 hours)

Supp Midterm test 1 (16 Jan, 8pm)-TBC

Public Holiday: Prophet Muhammad’s Birthday (Tue, 14 Jan)

14 20 Jan - 24 Jan Extra Classes15 27 Jab - 31 Jan Study Week16 3 Feb – 7 Feb Study Week17 10 Feb - 14 Feb Exam Week18 17 Feb - 21 Feb Exam Week

Anton, Bivens, Davis (2011). Calculus Early Transcendentals Combined, 9th Edition. Wiley. 978-0470183458.

Textbooks

Stroud K. A., Dexter J. Booth. Engineering Mathematics, 6th Edition. Palgrave Macmillan. 978-140394246

Sullivan, M., Fadzilah, S., Goh, W.W., Heng, C.Y., Mohd Daud, H., Ng, L. N., et al. (2011). Algebra & trigonometry. Malaysia: Prentice Hall. 9789673490950.

Hass, J., Weir, M.D., Thomas, G.B., Fadzilah, S., Goh, W.W., et al. (2009). University calculus. Malaysia: Prentice Hall. 9789833927104.

Hunt (2010).Calculus (2nd ed.). Addision Wesley. 006043046x. Larson, R. & Edwards, B. H. (2010). Calculus (9th ed.). Belmont, Calif. :

Brooks/Cole Cengage Learning. 9781439030332. Smith, R.T., & Minton, R.B. (2008). Calculus (3rd ed.). Boston, London:

McGraw-Hill Higher Education.9780071101998. Stewart, J. (2009). Calculus (6th ed.). Belmont, CA: Thomson Brooks/Cole.

9780495383628. Stewart, J. (2008). Single variable calculus (6th ed.). Belmont, CA:

Thomson Brooks/Cole. 9780495011613. Sullivan, M. (2008). Algebra & trigonometry (8th ed.). NJ: Pearson Prentice

Hall. 9780132329033. Thomas, G. B. (2008). Thomas’ calculus (11th ed.). Boston, Mass: Pearson.

9780321498755 Trim, D. (2008). Calculus for engineers (4th ed.). Ontario: Pearson

Education Canada, Inc. 9780131577138.

Reference Books

1. Attendance shall be counted immediately from Week 1 in every trimester. Any absence from class without valid reasons and evidence will be recorded and students who fail to achieve 80% of the attendance should be barred;

2. The attendance for lectures, tutorials, labs and studios should be counted separately. If a student fails to achieve 80% of the attendance for either lectures, tutorials, labs or studios, s/he must be barred from sitting for final examination for that particular subject;

3. The attendance must be counted until the day when the barring list is submitted;

4. For students with medical certificates which contribute to more than 20% of the absence in the respective trimester, the Faculty/Center must advise him/her to take leave of absence as he/she will be deemed as unfit to go through the whole trimester's workload

Attendance and MC Policy

Tim

e-ta

ble

Time\Day Monday Tuesday Wednesday Thursday Friday Saturday08:00-08:55

09:00-09:55

-PCL0016 (FE41-42) muhammad.ihsan CR1025

10:00-10:55 -PCL0016 (FE03) cschan CR1032

-PCL0016 (FE01) tckeong CR1025 -PCL0016 (FE02) nazihah CR1030 -PCL0016 (FE03) cschan CR1032


-PCL0016 (FE01) tckeong CR1024 -PCL0016 (FE02) nazihah CR1033

11:00-11:55

-PCL0016 (FE02) nazihah CR1025

-PCL0016 (FE01) tckeong CR2044

12:00-12:55

-PCL0016 (FE03) cschan CR1032

-PCL0016 (FE03) cschan CR1032

13:00-13:55


-PCL0016 (FE03) nasrin CR1032

14:00-14:55

-PCL0016 (FE01) tckeong CR1025 -PCL0016 (FE41-42) muhammad.ihsan CR1024

15:00-15:55

-PCL0016 (FE01) tckeong CR1032


16:00-16:55 -PCL0016

(FE41-42) muhammad.ihsan CR1025


Teaching Staff Mr. Tan Chee Keong (subject coordinator) Group: FE01 Email: [email protected] Office: BR4053 Phone Number: 03-83125635 Consultation Hours: 1pm-3pm (Wednesday),

2pm-4pm (Thursday)

Miss Nazihah Ahmad Group: FE02 Email: [email protected] Office: AR4007 Phone Number: 03-83125378 Consultation Hours:

mailto:[email protected]


Teaching Staff Miss Chan Chee Suit Group: FE03 Email: [email protected] Office: CR4067 Phone Number: 03-83125333 Consultation Hours:

Mr. Muhammad Ihsan bin Khairir Group: FE41-42 Email:[email protected] Office: CR4096 Phone Number: 03-83125472 Consultation Hours:



Documents

Chapter_0_-_Introduction.pptx