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