Fall 2023 MATH1051
Calculus 1 五系微積分(一)

Syllabus 課程大綱
演習課教室分配

宣導事項

教學進度

  • 9/6/2023(星期三): Introduction to the course, sets.
  • 9/8/2023(星期五): Functions and Limits.
  • 9/13/2023(星期三): Limits and Euler constant.
  • 9/15/2023(星期五): Introduction to differentiations.
  • 9/20/2023(星期三): Basic properties and formula for differentiations.
  • 9/22/2023(星期五): Chain rules.
  • 9/27/2023(星期三): Higher order derivatices and implicit differentiations.
  • 9/29/2023(星期五): No Class (Mid Autumn Festival).
  • 10/4/2023(星期三): Related rates.
  • 10/6/2023(星期五): Midterm exam 1.
  • 10/11/2023(星期三): Absolute/local maximum and minimum, monotonities.
  • 10/13/2023(星期五): Local maximum and minimum, critical points.
  • 10/18/2023(星期三): Optimization problems, price elasticity of demans.
  • 10/20/2023(星期五): More optimization problems, asymptotes.
  • 10/25/2023(星期三): Curve sketching, differentials.
  • 10/27/2023(星期五): Marginal analysis, introduction to exponential functions.
  • 11/1/2023(星期三): Definitions/basic properties of exponential and logarithmic functions and their derivatives.
  • 11/3/2023(星期五): Derivative computations for exp/log functions.
  • 11/8/2023(星期三): Curve sketching for exponential/logarithmic functions, exponential growth and decay.
  • 11/10/2023(星期五): Introduction to integration.
  • 11/15/2023(星期三): Integral computations from definitions.
  • 11/17/2023(星期五): Fundamental theorem of calculus.
  • 11/22/2023(星期三): Midterm 2.
  • 11/24/2023(星期五): Basic integral formula, change of variables.
  • 11/29/2023(星期三): Basic integral computations, area between curves.
  • 12/1/2023(星期五): Area between curves, economic surpluses.
  • 12/6/2023(星期三): Integration by parts, present values.
  • 12/8/2023(星期五): More examples of integration by parts, partial fractions.
  • 12/13/2023(星期三): More on partial fraction, midpoint rule for integration.
  • 12/15/2023(星期五): Trapezoidal and Simpson's methods.
  • 12/20/2023(星期三): Improper integrals, p-integrals, comparison theorem.
  • 12/22/2023(星期五): Finish improper integrals, perpetualty, introduction to trigonometric functions.
  • 12/27/2023(星期三): Review of trigonometric functions and identities, limits of trigonometric functions.
  • 12/29/2023(星期五): Derivatives and integrals of trigonometric functions.

    建議習題

  • Homework 1 (9/15/2023 抽題小考):
    Section 1.5: 38, 44, 52, 63, 75.
    Section 1.6: 28, 32, 36, 58, 69a.
  • Homework 2 (9/22/2023 抽題小考):
    Section 2.1: 14, 32, 49, 52, 54, 58, 70, 71, 72.
    Section 2.2: 37, 41, 53, 58, 62, 63, 65, 76.
    Section 2.4: 36, 46, 53, 58, 65, 71.
  • Homework 3 (10/6/2023 期中考建議練習題):
    Section 2.3: 7, 16, 18, 30, 33, 35.
    Section 2.5: 33, 36, 47, 51, 70, 73.
    Section 2.6: 7, 11, 21, 29, 35.
    Section 2.7: 14, 19, 23, 31, 45, 49bc.
    Section 2.8: 5, 7, 11, 14, 20, 21, 25.
  • Homework 4 (10/20/2023 抽題小考):
    Section 3.1: 11, 23, 31, 37, 45, 51, 53.
    Section 3.2: 25, 29, 33, 41, 49.
    Section 3.3: 17, 19, 33, 41, 63, 64.
    Section 3.4: 9, 12, 21, 33, 36.
    Ignore all problems requiring graphing utilities.
  • Homework 5 (11/3/2023 抽題小考):
    Section 3.5: 21, 25, 26, 34, 39abc.
    Section 3.6: 11, 15, 27, 33, 35, 67.
    Section 3.7: 5, 13, 21, 27, 30.
    Section 3.8: 15, 17, 23, 27, 37, 40.
    Section 4.3: 7, 11, 15, 29, 31, 33, 37, 45, 47, 53.
  • Homework 6 (11/17/2023 抽題小考):
    Section 4.4: 49, 59, 67, 85, 97.
    Section 4.5: 7, 11, 17, 21, 41, 43, 49, 51, 55, 82.
    Section 4.6: 17, 23, 33, 43, 45.
    (以下為11/22/2023 期中考額外建議練習題) Section 4.1: 11, 19, 21.
  • Homework 7 (12/1/2023 抽題小考):
    Section 5.2: 3, 7, 17, 27, 37, 41, 49, 55.
    Section 5.3: 5, 11, 15, 21, 25, 27, 39, 49.
  • Homework 8 (12/15/2023 抽題小考):
    Section 5.4: 9, 11, 13, 15, 25, 31, 51, 67, 69.
    Section 5.5: 3, 11, 17, 25, 49, 57, 58.
    Section 6.1: 19, 27, 33, 37, 45, 51, 53, 65, 73, 75, 79.
  • Homework 9 (12/29/2023 抽題小考):
    Section 5.6: 13, 19.
    Section 6.3: 12, 19, 41.
    Section 6.4: 9, 13, 17, 19, 23, 31-34, 37.

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