Yixin LI

PhD student
Department of Mathematics
The Hong Kong University of Science and Technology

2025

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MATH1014 Calculus II

Spring, 2024

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Tutorial notes are shared through OneDrive and an HKUST account is required to view and download. Download All

Tutorial 1: Integrals and Area Between Curves

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 2: Volumes

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 3: The Method of Cylindrical Shells and Work

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 4: Average Value of a Function, Arc Length and Area of a Surface of Revolution

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 5: Integration by Parts and Trigonometric Integrals

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 6: Trigonometric Substitution and Integration of Rational Functions by Partial Fractions

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 7: Strategy for Integration and Approximate Integration

Slides     Handwritten_Notes     Notes_in_Tutorial     Codes_in_Python

Tutorial 8: Polar Coordinates

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 9: Improper Integrals and Sequences

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 10: Series, the Integral Test and Estimates of Sums

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 11: The Comparison Tests, Alternating Series, Absolute Convergence, the Ratio and Root Tests and Strategy for Testing Series

Slides     Handwritten_Notes     Notes_in_Tutorial

Tutorial 12: Power Series, Representations of Functions as Power Series, Taylor and Maclaurin Series and Applications of Taylor Polynomials

Slides     Handwritten_Notes     Notes_in_Tutorial


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