Course Syllabus

Course Outline

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.

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'Hopital'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).

Text and References

References

This is available at the CUHK library.

The text/reference should not be treated as a substitute for the lectures. The lectures may present the material covered in the text in a different manner, or deviate from it entirely. You should take your own notes in class.

Reading the sections of the reference books corresponding to the assigned homework exercises is considered part of the homework assignment; you are responsible for material in the assigned reading whether or not it is discussed in the lectures.

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. For information on categories of offenses and types of penalties, students should consult the following link: , or doc.

Evaluation

Class Participation and Classroom Activities
5%
Homeworks and Courseworks
15%
Quizzes
10% (Each 5%)
Midterm
20%
Final
50%

Homework & Coursework

Homework:

1. Homework will be assigned on the course's homework page.
2. You should make every effort to finish the homework assignments and seek help with problems you have not been able to solve.
3. You can get help with the homework assignments in the tutorial and MathGym (the Faculty Tutor Q&A Centre in Mathematics).

Coursework:

1. Coursework will be assigned during tutorials.
2. Please attend the tutorial to which you have been assigned.

Examination Schedule

Schedules of quizzes, mid-term test and final examination are:

Important dates to remember $$\cdots$$

Quiz 1

MATH1510A
Date & Time: September 25, Monday, 5:30PM - 6:15PM
MATH1510B
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Science Centre L1
MATH1510C
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Mong Man Wai Bldg LT1
MATH1510D
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT4
MATH1510E
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT1
MATH1510F
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT3
MATH1510G
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT6
MATH1510H
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Y.C. Liang Hall 103
MATH1510I
Date & Time: September 25, Monday, 5:30PM - 6:15PM
Venue: Science Centre L2

Quiz 2

MATH1510A
Date & Time: November 13, Monday, 5:30PM - 6:15PM
MATH1510B
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Science Centre L1
MATH1510C
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Mong Man Wai Bldg LT1
MATH1510D
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT4
MATH1510E
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT1
MATH1510F
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT3
MATH1510G
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT6
MATH1510H
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Y.C. Liang Hall 103
MATH1510I
Date & Time: November 13, Monday, 5:30PM - 6:15PM
Venue: Science Centre L2

Midterm

MATH1510A
Date & Time: October 23, Monday, 5:30PM - 6:15PM
MATH1510B
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Science Centre L1
MATH1510C
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Mong Man Wai Bldg LT1
MATH1510D
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT4
MATH1510E
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT1
MATH1510F
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT3
MATH1510G
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Lee Shau Kee Building LT6
MATH1510H
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Y.C. Liang Hall 103
MATH1510I
Date & Time: October 23, Monday, 5:30PM - 6:15PM
Venue: Science Centre L2

Final

MATH1510A
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510B
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510C
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510D
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510E
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510F
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510G
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510H
Date & Time: To be announced (TBA)
Venue: TBA
MATH1510I
Date & Time: To be announced (TBA)
Venue: TBA
For all the tests, please note the following:

1. There will be no makeup exams.
2. Please go to the class indicated by your registered course code via the CUSIS system.
3. As per university regulations, you will be required to present your student ID card.
4. All examinations are closed book. No notes are permitted.
5. 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.