Top Calculus Articles: Functions, Derivatives, Integrals & Multivariable Insights

This page aggregates the “Model Perspective” public account’s past articles on calculus, with future collections on linear algebra and probability statistics planned.

1. Single-variable Functions and Derivatives

Mathematics | Calculus 01: Sequences and Limits – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683711&idx=1&sn=a17985fa888cf390155612df42ee752d

Mathematics Calculus 02: Sets and Functions – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683850&idx=1&sn=3f58a027480a715e551c63b6ae15d3c2

Mathematics Calculus 03: Derivatives – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684009&idx=1&sn=0d704b696a0568797023debf6bdaa849

Calculus 04: Derivatives of Sums, Products, Quotients and Chain Rule – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684009&idx=2&sn=2607193d0bf0216f38e6062922aa4dfa

Calculus 05: First-order Derivatives and Optimal Points – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684009&idx=3&sn=528f7a74ed481f5aef8602b326bd7999

Calculus 26: Which is larger, 199²⁰⁰ or 200¹⁹⁹? – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688678&idx=2&sn=326fa4830cc78a2b7471904290051e27

2. Single-variable Integrals

Calculus 08: Concept of Integration – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685562&idx=2&sn=dd72afeee031df5e3f92939d74a1f2fb

Calculus 09: Properties of Integrals – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685576&idx=2&sn=4196315c118d75c1eab7474e7fcf8f4b

Calculus 10: Fundamental Theorem of Calculus – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685567&idx=2&sn=eaefe1b3c9c94948bada6a774b0b64fd

Calculus 11: Fundamental Integral Table – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685568&idx=2&sn=2d801dcad5fa838705b8c6ad88afa8be

Calculus 12: Integration by Parts – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685578&idx=2&sn=655c6e91d0ee0fdce0c536e588e1b94b

Calculus 13: Substitution Method – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685584&idx=2&sn=e98b8c9e455485faf6ac8b8554db9f69

3. Multivariable Functions

Calculus 15: Basic Concepts of Multivariable Calculus – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685742&idx=2&sn=1f571663ef93c27a9ab56ad44809ff48

Calculus 16: Limits of Multivariable Functions – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685745&idx=2&sn=1e77b02b7db77065287bbdb874fe2f88

Calculus 17: Continuity of Multivariable Functions – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653686469&idx=2&sn=e0380b295b8a8521bbcb4e71468a80cf

Calculus 20: Matrix and Vector Differentiation – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653687878&idx=2&sn=f2040f55baf1664d8b492b527b10b9c0

Calculus 21: Definition Method for Matrix‑Vector Differentiation – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688246&idx=2&sn=55f36f990005b99fde435a97ec36cf37

Calculus 22: Differential Method for Matrix‑Vector Differentiation – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688361&idx=2&sn=2eab6669e3faef8fb81c12f21b9b7a2b

Calculus 23: Chain Rule for Matrix‑Vector Differentiation – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688500&idx=2&sn=c6f7b634741efdf82c8f26a200da9e22

Calculus 24: Matrix‑to‑Matrix Differentiation – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688580&idx=2&sn=021e177184b52c05c81f238b70a8f191

Calculus 19: Concept of Gradient – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653686469&idx=2&sn=e0380b295b8a8521bbcb4e71468a80cf

Calculus 07: Gradient Descent Algorithm – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685400&idx=2&sn=b2f2f4da0c3daee17c5445603b93a24c

Calculus 25: Gradient Descent Summary – http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688512&idx=2&sn=7850792863cdc3ed971c907879383774