微積分丙(一)

教導微積分的基本原理與應用

高中數學

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期中考兩次(各20%) 期末考30% 小考,作業+課堂表現 30%

• Functions and Models

  1.2 Elementary functions 1.3 Graphing

  講授：

  4

• Discrete time models, sequences and difference equation

  2.1 Exponential growth and decay 2.2 Sequences 2.3 Population models

  講授：

  6

• Limits and Continuity

  3.1 Limits 3.2 Continuity 3.3 Limits at infinity 3.4 Trigonometric limits 3.5 Properties of continuous functions 3.6 Formal definition of limits

  講授：

  8

• Differentiation

  4.1 Formal definition of derivatives 4.2 Basic rules 4.3 Product rule and quotient rule 4.4 Chain rule 4.5 Derivatives of trigonometric functions 4.6 Derivatives of exponential functions 4.7 Derivatives of inverse functions, logarithmic functions and the inverse tangent function 4.8 Linear approximation and error propagation

  講授：

  12

• Applications of differentiation

  5.1 Extrema and the mean-value theorem 5.2 Monotonicity and concavity 5.3 Extrema, inflection points and graphing 5.4 Optimization 5.5 L'Hospital's rule 5.6 Difference equation: stability 5.7 Numerical method 5.8 Anti-derivatives

  講授：

  10

• Integration

  6.1 Definition of integral 6.2 Fundamental theorem of calculus 6.3 Applications of integration

  講授：

  8

Calculus for Biology and Medicine, Claudia Neuhasuer, 3rd Edition

地點

科一館 241

時間

every Tuesday, 3:30~5:30 pm

聯絡方式

ctw@math.nctu.edu.tw