Yixin LI

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

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MATH1012 Calculus IA

Fall, 2024

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Arrangements of Tutorials

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

Tutorial 1: Inequalities and Absolute Values

Handout     Notes-T04A     Notes-T04B

Tutorial 2: Definition of Functions and Essentials Functions (Polynomials and Power Functions)

Handout     Notes-T04A     Notes-T04B

Tutorial 3: New Functions from Old Functions, Inverse Functions, and Essentials Functions (Exponential and Logarithmic Functions)

Handout     Notes-T04A     Notes-T04B

Tutorial 4: Trigonometry: Essentials Functions (Trigonometric Functions), and Inverse Trigonometric Functions

Handout     Notes-T04A     Notes-T04B

Tutorial 5: Review of Functions

Handout     Notes-T04A     Notes-T04B

Tutorial 6: The Definition of Limits, Continuity and Derivatives

Handout     Notes-T04A     Notes-T04B

Tutorial 7: Infinite Limits, Limits at Infinity, Calculating Limits and Differentiation Rules

Handout     Notes-T04A     Notes-T04B

Tutorial 8: Implicit Differentiation, Logarithmic Differentiation and Applications of Derivatives

Handout     Notes-T04A     Notes-T04B

Tutorial 9: l’Hospital’s Rule, Maximum and Minimum Values, and What Derivatives Tell Us about the Shape of a Graph

Handout     Notes-T04A     Notes-T04B

Tutorial 10: Summary of Curve Sketching and Optimization Problems

Handout     Notes-T04A     Notes-T04B

Tutorial 11: Antiderivatives and Indefinite Integrals

Handout     Notes-T04A     Notes-T04B

Tutorial 12: Definite Integrals and The Fundamental Theorem of Calculus

Handout     Notes-T04A     Notes-T04B


Final 2015 ANS


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