MATH1010J - University Mathematics - 2017/18

Announcement

• Main class webpage
• A notes on mathematical induction
• Math 1010I class webpage by Dr Lau. Lot of exercies.
• More exercies on integration by Dr Lau
• More exercises [Download file]

General Information

Lecturer

• Charles Li
  • Office: LSB218
  • Email:

Time and Venue

• Lecture: Tu 1:30PM - 2:15PM YIA LT5, Th 10:30AM - 12:15PM YIA LT6

Textbooks

• Thomas' Calculus: Weir and Hass, Pearson

References

• Apex Calculus

Lecture Notes

• Lecture notes by Dr Lau
• Lecture 1: Notation and functions
• Lecture 2: Sequences and series
• Lecture 3: Limit
• Lecture 4: Limit 2 (sequential test)
• Lecture 5: Trigonometric functions
• Lecture 6: The constant e
• Lecture 7: Continuity
• Lecture 8: Differentiation
• Lecture 9: Differentiation II
• Lecture 10: Chain Rule, max/min
• Lecture 11: Higher derivatives
• Lecture 12: Inverse functions and derivatives
• Lecture 13: Implicit functions and differentiation.
• Lecture 14: The mean value theorem
• Lecture 15: L'H^opital's Rule
• Lecture 16: Taylor Series (updated)
• Lecture 17: Anti-derivative
• Lecture 18: The definite integral (updated)
• Lecture 19: Fundamental theorem of Calculus
• Lecture 20: Substitution
• Lecture 21: Integration by parts (last updated: April 20)
• Lecture 22: Trigonometric integrals
• Lecture 23: More Integrals involving trigonometric functions
• Lecture 24: Partial fraction decomposition
• Lecture 25: t-method