Summer 2022
Calculus for Tainan First Senior High School 南一中科學班微積分
Syllabus 課程大綱
宣導事項
建議習題
Homework 1:
講義
Note 1: Introduction and Reviews
Note 2.1: Limits: Definitions and Basic Concepts
Note 2.2: Properties and Computations of Limits
Note 3.1: Introduction to Differentiations
Note 3.2: Properties and Computations of Differentiations
Note 3.3: Chain Rules and Implicit Differentiations
Note 3.4: Differentiations of Exponential and Logarithmatic Functions
Note 3.5: Partial Differentiations
Note 4.1: Related Rates and Differentials
Note 4.2: Mean Value Theorem and Extreme Values
Note 4.3: Curve Sketching
Note 4.4: Optimizations
Note 4.5: Other Applicatations of Differentiations
Note 5.1: Introduction to Integrations
Note 5.2: The Fundamental Theorem of Calculus
Note 5.3: Integration Formula and Computations
Note 6.1: Integration by Parts
Note 6.2: Trigonometric Integrations
Note 6.3: Partial Fractions
Note 6.4: Improper Integrals
Note 7.1: Area and Volume by Cross Sections
Note 7.2: Surfaces of Revolutions
Note 7.3: Arclength and Surface Area
Note 7.4: Other Applications
Note 8.1: Survey on Sequences and Series
Note 8.2 Taylor and Maclaurin Series