**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:

- Transcendental functions (Exponential, Logarithm, Trigonometric and Hyperbolic functions and their inverses).
- Polar coordinates, curves represented by polar coordinates or parametric equations.
- 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).
- Series (Taylor expansion, Taylor and Maclaurin series, technique involving series, L'Hopital's Rule).
- Further integration techniques (substitutions, integration by parts, etc).
- Vector valued functions and their differentiation rules.
- Partial differentiation (rules of differentiation and Chain Rule).
- Double integrals (iterated integrals over a rectangular domain, simple integrals over a polygonal domain).

#### Text and References

Lecture Notes for Calculus for Engineers by Jeff C.-F. WONG (2nd Edition).

- Howard Anton, Irl Bivens, Stephen Davis, Calculus, 10th Edition, Wiley, 2012.
- William L. Briggs et. al., Calculus for scientists and engineers: early transcendentals, 1st Edition, Pearson, 2013.
- James Stewart, Calculus: early transcendentals, 7th Edition, Brooks/Cole, 2012.
- George B. Thomas as revised by Maurice D. Weir, Joel Hass, Thomas' calculus, 13th Edition, Pearson, 2014.

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.

#### Academic Offenses

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

Your final letter-grade will be determined by your point Ranking viz. your final score (out of 100 points). The total score for your course grades is distributed as follows:

#### Homework & Coursework

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

- Coursework will be assigned during tutorials.
- Please attend the tutorial to which you have been assigned.
- Our tutors can help you to understand your coursework.

#### Examination Schedule

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

### Quiz 1

### Quiz 2

- There will be no makeup exams.
- 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.

#### Lecture Notes

Once you have enrolled your course, we will send you a username and password to access your online learning resources.