Fall 2021 MATH 1081
Calculus 1 生命生技微積分(一)

與醫技藥學物治共同課綱
Syllabus 課程大綱

宣導事項

教學進度

  • 9/15/2021(星期三): Introduction to the course.
  • 9/20/2021(星期一): No Class (中秋節彈性放假)>
  • 9/22/2021(星期三): Review of functions.
  • 9/27/2021(星期一): Sequences and limit of sequences.
  • 9/29/2021(星期三): Exponential and logarithm functions.
  • 10/4/2021(星期一): Limit of sequences and functions at infinity.
  • 10/6/2021(星期三): Limit of function.
  • 10/11/2021(星期一): No class (台灣國慶).
  • 10/13/2021(星期三): Trigonometric limits.
  • 10/18/2021(星期一): More on limits and introduction to differentiations.
  • 10/20/2021(星期三): Derivatives as functions.
  • 10/25/2021(星期一): Formula of differentiations, product and quotient rules.
  • 10/27/2021(星期三): The chain rules.
  • 11/1/2021(星期一): Chain rules and implicit differentiations, higher derivatives.
  • 11/3/2021(星期三): Related rates, exponential growth/decay.
  • 11/8/2021(星期一): Exponential growth/decay, Taylor polynomials.
  • 11/10/2021(星期三): Taylor polynomials and series.
  • 11/15/2021(星期一): Midterm 1.
  • 11/17/2021(星期三): Mean value theorem, maximum and minimum values.
  • 11/22/2021(星期一): Maximum and minimum values, derivatives and graphs
  • 11/24/2021(星期三): Derivative and graphs, optimizations.
  • 11/29/2021(星期一): Optimizations.
  • 12/1/2021(星期三): Recursive equations, equilibrium and stability.
  • 12/6/2021(星期一): Introduction to integrations, basic properties.
  • 12/8/2021(星期三): Basic computations of integrations.
  • 12/13/2021(星期一): The fundamental theorem of calculus.
  • 12/15/2021(星期三): Change of variables.
  • 12/20/2021(星期一): Integration by parts, partial fractions.
  • 12/22/2021(星期三): More integral computations.
  • 12/27/2021(星期一): Improper integrals.
  • 12/29/2021(星期三): Area between curves.
  • 1/3/2021(星期一): Volume by cross section, volume of revolutions.
  • 1/5/2021(星期三): Average values.

    建議習題

  • Homework 1 (10/6/2021 抽題小考):
    Section 1.3: 31-34, 37, 38, 39, 41, 54, 55.
    Section 1.4: 19, 20, 24, 30, 33.
    Section 1.5: 15, 17, 24, 26, 32, 36, 38, 41, 54, 57.
    Section 1.6: 10, 14, 20, 24, 27-31, 37.
    Section 2.1: 9, 11, 16, 18, 19, 22, 23, 25, 26, 36, 42, 46, 60.
    Section 2.2: 8, 12, 17, 18, 21, 27, 30, 33.
  • Homework 2 (10/20/2021 抽題小考):
    Section 2.3: 5, 9, 11, 13.
    Section 2.4: 5, 7, 9, 15, 19, 23, 32, 34, 35, 39, 41, 43, 46, 49, 51.
    Section 2.5: 17, 19, 20, 23, 29, 33, 49, 50.
    Section 3.1: 7, 8, 13 ,17, 23, 25, 31, 39.
  • Homework 3 (11/10/2021 抽題小考):
    Section 3.2: 25, 29, 36, 37, 47, 48.
    Section 3.3: 3, 9, 17, 25, 31, 33, 37, 45, 49, 51, 57, 60, 61, 71, 73.
    Section 3.4: 11, 19, 25, 31, 37, 39, 49, 51, 58.
    Section 3.5: 13, 21, 23, 29, 31, 39, 43, 49, 57, 60, 69, 73, 75, 79, 82.
    Section 3.6: 5, 7, 11, 17.
    Section 3.7: 11, 15, 19, 23, 25, 31, 35, 39, 41, 45, 52, 54.
  • Homework 4 (12/1/2021 抽題小考):
    Section 4.1: 27, 31, 37, 39, 40, 43, 47, 49, 50, 53, 57, 61.
    Section 4.2: 11, 15, 17, 19, 21, 23, 27, 31, 35, 39, 41, 42, 43, 51, 53.
    Section 4.3: 5, 9, 10, 11, 15, 16, 17, 21, 22, 29, 32, 33, 39, 41, 45, 47, 49, 53.
    Section 4.4: 3, 7, 8, 11, 14, 15, 19, 21, 23, 25, 27.
    Section 4.5: 11, 13, 17, 19, 21, 23.
  • Homework 5 (12/15/2021 抽題小考):
    Section 5.1: 2, 15, 19.
    Section 5.2: 21, 23, 25, 27, 31, 33, 35, 37, 43, 45, 47.
    Section 5.3: 1, 7, 11, 15, 19, 23, 24, 25, 33, 35, 36, 41, 43, 55, 57, 61, 69, 71, 74, 80, 83, 84.
    Section 5.4: 7, 13, 17, 19, 21, 23, 29, 33, 43, 45, 51, 52, 55, 57, 60, 62.
  • Homework 6 (1/5/2022 抽題小考):
    Section 5.5: 5, 9, 11, 15, 17, 21, 25, 27.
    Section 5.6: 5, 7, 11, 13, 17.
    Section 5.8: 7, 9, 11, 17, 25, 29, 33, 34, 35.
    Section 6.1: 5, 7, 9, 14, 16.
    Section 6.2: 3, 5, 7, 13, 15, 19.

    考試相關

    Exam 1 Information Exam 2 Information

    講義