A Study of the Question Bank of the Unified Teaching of Calculus: Calculus A2 Exams at National Taiwan University

• Main Authors: Ching-Tian Tsai, 蔡慶沺
• Other Authors: Fu-Chuen Chang
• Format: Others
• Language: zh-TW
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/73c955

碩士 === 國立中山大學 === 應用數學系研究所 === 107 === This study investigates all problems of the Calculus A2 Exams of unified teaching of calculus at National Taiwan University from $2000$ to $2018$. These problems according to Larson Edwards 2018 are classified as twelve topics including: Limits, Differentiation, Applications of Differentiation, Integration, Differential Equations, Integration Techniques, Applications of Integration, Infinite Series, Vector-Valued Function, Functions of Several Variables, Multiple Integration and Vector Analysis. Each topics begins with the important definitions, theorems and properties for problem solving, followed by several related examples chosen to illustrate the applications of theorems and properties. Finally, the statistics of the all questions classified by year and topics is included.The detailed solutions of examples are good for science and engineering students who are studying calculus or preparing for the calculus test. It is also good for learners who like to challenge difficult calculus problems.