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## MATH1510 Fall 2014 Course Syllabus

Course: MATH1510

Title: Calculus for Engineers

Units:  3

Prerequisite: Students are expected to have mathematics background equivalent to HKDSE with Extended Module I or II.

Catalog Description: This course is designed for engineering students who need to acquire skills in calculus as a crash introduction to the mathematics used in engineering. The course emphasizes on the technique of computation without theoretical discussion.

Textbook (Lecture Notes): Calculus for Engineers, 1st edition, by Jeff C.-F. WONG, 2012

Subject Material:

1. Transcendental functions (Exponential, Logarithm, Trigonometric and Hyperbolic functions and their inverses).
2. Polar coordinates, curves represented by polar coordinates or parametric equations
3. Quick review of basic one variable calculus (rules of differentiation, implicit differentiation, rate of change, approximation and differential, extreme values and curve sketching; definite and indefinite integrals, simple technique of integration, area and volume of revolution).
4. Series (Taylor expansion, Taylor and Maclaurin series, technique involving series, L'Hospital's Rule)
5. Further integration techniques (substitutions, integration by parts, etc)
6. Vector valued functions and their differentiation rules
7. Partial differentiation (rules of differentiation and Chain Rule)
8. Double integrals (iterated integrals over a rectangular domain, simple integrals over a polygonal domain).

Lecture:

• Attending the lecture is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the lecture note.
• You should expect questions on the exams that will test your understanding of concepts discussed in the lecture.

Tutorial Classes:

• Please attend the tutorial to which you have been assigned.
• These tutorial classes include step-by-step examples and will show you how to solve the problem.

Calculators:

• The use of graphing calculators will not be permitted during exams or quizzes.
• The calculator should be used as an aid in learning concepts, not just as a means of computation.
Assessment:

 Homeworks and Courseworks : 15% Quizzes : 10% Midterm : 25% Final : 50%

Homework & Coursework:

Quizzes:

• There will be two quizzes given during the tutorial classes; please see the Tutorial website for the dates of the quizzes.
• No notes (or books) will be allowed during the quizzes.
• There will be no makeup quizzes.

Midterm Examination:

• There will be a midterm exam given during the tutorial class; please see the Tutorial website for the dates of the midterm exam.
• No notes (or books) will be allowed during the midterm exam.
• There will be no makeup exams.

Final Exam:

• Final Examination Schedule: To be announced.
• No notes (or books) will be allowed during the midterm exam.
• There will be no makeup exams.

For all the tests, please note the following:

• Please go to the class indicated by your registered course code via the CUSIS system.
•  As per university regulations, you will be required to present your student ID card.
• All examinations are closed book. No notes are permitted.
• You may use a calculator, but your calculator should NOT contain any "programmable" equations or formulae.  The use of computers/cellular phone/graphing calculators will NOT be permitted during exams or quizzes.

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