# MATH2010C - Advanced Calculus I - 2017/18

Course Name:
Course Year:
2017/18
Term:
2

### Announcement

• (8/1) Welcome to MATH2010C!
• (10/1) Homework 1 is posted. (due Jan 18, 2018, 12:00noon)
• (12/1) Tutorials with start next week.
• (17/1) Homework 2 is posted. (due Jan 25, 2018, 12:00noon)
• (23/1) Homework 3 is posted. (due Feb 1, 2018, 12:00noon)
• (29/1) Tutorial notes for week 3 has been revised. The arclength and the curvature for polar curves have been corrected.
• (30/1) Homework 4 is posted. (due Feb 8, 2018, 12:00noon)
• (7/2) Homework 5 is posted. (due Feb 22, 2018, 12:00noon)
• (7/2) Quiz 1 at 2:30-3:15pm, (Wed) Feb 14, 2018; covers material of weeks 1-4 up to Sandwich Theorem
• (23/2) Homework 6 is posted. (due Mar 8, 2018, 12:00noon)
• (23/2) Quiz 1 will be returned during the breaks between the lectures and tutorials on Feb 26 and 28.
• (6/3) Homework 7 is posted. (due Mar 15, 2018, 12:00noon)
• (13/3) Homework 8 is posted. (due Mar 22, 2018, 12:00noon)
• (22/3) Quiz 2 at 2:30-3:15pm, (Wed) Mar 28, 2018; covers material up to the lecture on Mar 14 and HW8 (up to max/min on closed and bounded region)
• (23/3) Homework 9 is posted. (due Apr 12, 2018, 12:00noon)
• (10/4) Homework 10 is posted. (due Apr 19, 2018, 12:00noon)
• Final exam: May 10 (Thursday) 9:30-11:30am, University Gym
• All materials (lecture and tutorial notes, textbooks, and homeworks) up to Lagrange Multipliers with multiple constraints
• Materials before quizzes will also be tested.
• "Theory" (basic concept and computation of limits, continuity, partial derivatives, differentiability, and etc) will be tested but no epsilon-delta proof.

### General Information

#### Lecturer

• CHENG, Man Chuen
• Office: LSB 210
• Tel: 3943 7985
• Email:

#### Teaching Assistant

• SIU, Chun Yin
• Office: LSB 222A
• Tel: 3943 3575
• Email:
• Office Hours: Tue 1530-1630 (MathGym)
• XIN, Jing
• Office: AB1 614
• Tel: 3943 4109
• Email:
• Office Hours: Mon 1330-1530 (MathGym)
• YEUNG, Chin Ching
• Office: AB1 614
• Tel: 3943 4109
• Email:
• Office Hours: Thur 1330-1530 (MathGym)

#### Time and Venue

• Lecture: Monday 1:30-2:15pm, LSB LT2; Wednesday 2:30-4:15pm, LSB LT5
• Tutorial: Monday 12:30-1:15pm, LSB LT2; Wednesday 4:30-5:15pm, LSB LT5

### Course Description

Functions of several variables, partial differentiation, differential and its geometric meaning, chain rule, maxima and minima, Lagrange multiplier, mean value theorem, Taylor series, and implicit function theorem.

Mainly follow the Textbook by Prof Thomas KK Au for general n-dimension, and supplemented by the Thomas' Calculus on examples, special cases for 2 and 3 dimensions, and exercises.

### Textbooks

• Thomas Kwok-Keung AU, Differential Multivariable Calculus, Asian Customized Edition, McGraw Hill Education
• Thomas, Weir & Hass, Thomas' Calculus, 12th Ed., Pearson

### References

• S. Lang, Calculus of Several Variables, 3th Ed., Springer

### Assessment Scheme

 Homework (about once a week) 10% 2 Quizzes (Feb 14, 2018, 2:30-3:15pm; and Mar 28, 2018, 2:30-3:15pm) 40% Final (date to be determined by University) 50%