Comprehensive Calculus Resource Guide: From Limits to Multivariable Integration
This article compiles a series of WeChat posts covering calculus fundamentals—including limits, derivatives, integration techniques, gradient descent, and multivariable concepts—providing direct links to each detailed tutorial for learners to explore.
This page aggregates previous "Model Perspective" public account articles on calculus, with plans to add future compilations on linear algebra and probability statistics.
1. Single-variable Functions and Derivatives
Mathematics | Calculus 01: Sequences and Limits
Mathematics | Calculus 02: Sets and Functions
Mathematics | Calculus 03: Derivatives
Mathematics | Calculus 04: Derivatives of Sums, Products, Quotients, and Chain Rule
Mathematics | Calculus 05: First-order Derivatives and Optimal Points
Mathematics | Calculus 07: Gradient Descent Algorithm
2. Single-variable Integrals
Mathematics | Calculus 08: Concept of Integration
Mathematics | Calculus 09: Properties of Integrals
Mathematics | Calculus 10: Fundamental Theorem of Calculus
Mathematics | Calculus 11: Common Integration Methods – Basic Integral Table
Mathematics | Calculus 12: Integration by Parts
Mathematics | Calculus 13: Substitution Method
3. Multivariable Functions
Mathematics | Calculus 15: Basic Concepts of Multivariable Calculus
Mathematics | Calculus 16: Limits of Multivariable Functions
Mathematics | Calculus 17: Continuity of Multivariable Functions
Model Perspective
Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".
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