MATH1010F - University Mathematics - 2016/17

Announcement

• Due to the Inauguration Ceremony for Undergraduates on next Monday, lectures are suspended in the morning until 13:30. The first lecture of MATH1010 D and F will be started at 13:30 on 5 Sept (Monday).
• There will be no tutorial class in the first week. Tutorial class will be started on the second week.
• Main class webpage: you can find hw, ex here.
• The midterm should be on Oct 26 Wed 19:30-21:00
• Extra exercise for final [Download file]

General Information

Lecturer

• Li, Charles
  • Office: LSB218
  • Email:

Time and Venue

• Lecture: Mo 12:30PM - 2:15PM, YIA LT9, We 12:30PM - 1:15PM YIA LT7
• Tutorial: Mo 2:30PM - 3:15PM, YIA LT9, We 6:30PM - 7:15PM ERB 803

Course Description

The main focus of this course is on one-variable calculus. On top of the methods and techniques of computation and their applications, this section places special emphasis on the theoretical foundations, for the benefit of those who want to acquire a deeper understanding of the subject.

References

• Thomas' Calculus: Weir and Hass, Pearson

Lecture Notes

• Lecture 1: Notation
• Lecture 2: Sequences
• Lecture 3: Limits
• Lecture 4: Limits part 2
• Lecture 5: Trigonometric functions
• Lecture 6: The constant e
• Lecture 7: Continuity
• Lecture 8: DIfferentiation I
• Lecture 9: Differentiation II
• Lecture 10: Chain rule, max/min
• Lecture 11: higher derivatives
• Lecture 12: Inverse function and derivatives
• Lecture 13: Implicit function and deriviatives
• Lecture 14: Mean value theorem
• Lecture 15: L'Hopital's rule
• Lecture 16: Taylor series
• Lecture 17: Anti-derivatives
• Lecture 18: The definite integral
• Lecture 19: Fundamental theorem of Calculus
• Lecture 20: Substitution
• Lecture 21: Integration by parts
• Lecture 22: Trigonometric integrals
• Lecture 23: Trigonometric substitution
• Lecture 24: Partial fraction
• Lecture 25: t-method

Useful Links

• http://www.math.cuhk.edu.hk/course/1617/math1030
• http://mathgym.math.cuhk.edu.hk