Course Syllabus

**Course:** MATH1510

**Title:** Calculus for Engineering

**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 Engineering, 1st edition*, by Jeff
C.-F. WONG, 2012

**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'Hospital'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).

**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.

**Reading:**

- Reference books are:
- Calculus by William L. Briggs et. al., 2011
- Calculus : early transcendentals by James Stewart, 2012.
- Thomas' calculus (based on the original work by George B. Thomas) as revised by Maurice D. Weir, Joel Hass, 2010.
- 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 lecture.*

Tutorial Classes:

- Please attend the tutorial
to which you have been assigned.

- Our tutors can help you to understand your homework or coursework.
- These tutorial classes include step-by-step examples and will
show you how to solve the problem.

**
** Faculty Tutor
Q&A Centre in Mathematics

- The Faculty Tutor
Q&A Centre in Mathematics for Calculus students will be open
from 9:00am until 5:30pm in LG102/LG104.

- There will usually be at least 43 TAs available to help with
homework and coursework.

- Take a look at the schedule for
a complete listing of dates and times when the tutoring lab is open.

Faculty Tutor Q&A Centre in Mathematics**We strongly recommend that you make use of the****.**

**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.

Homeworks and
Courseworks |
: 15% |

Quizzes |
: 10% |

Midterm |
: 25% |

Final |
: 50% |

**Homework & Coursework:**

- Homework will be assigned on the course homework
page.

- Coursework will be assigned during tutorials.

- 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 the Faculty Tutor
Q&A Centre in Mathematics.

**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:

Date Week Day Time Venue

MATH1510A 4/12/13 Wednesday 18:30-20:30 Thomas H C Cheung Gymnasium, UC

MATH1510B 4/12/13 Wednesday 18:30-20:30 Thomas H C Cheung Gymnasium, UC

MATH1510C 4/12/13 Wednesday 18:30-20:30 Thomas H C Cheung Gymnasium, UC

MATH1510D 4/12/13 Wednesday 18:30-20:30 Yasumoto Intl Acad Park LT1

MATH1510E 4/12/13 Wednesday 18:30-20:30 Thomas H C Cheung Gymnasium, UC

MATH1510F 4/12/13 Wednesday 18:30-20:30 Yasumoto Intl Acad Park LT1

- All examinations are closed book. No notes permitted.
- You may use a calculator, but your calculator should NOT contain
any "programmable" equations and formulae.

The use of graphing calculators will NOT permitted during exams or quizzes. **There will be no makeup exams.**