Fall 2018 MATH 1515
Calculus 1 化學地科微積分(一)

物理光電共同課綱
Syllabus 課程大綱
演習課分組資訊
共同助教 Office Hours

宣導事項

教學進度

  • 9/10/2018(星期一): Greetings, Pre-calculus review.
  • 9/12/2018(星期三): Introduction to limits.
  • 9/17/2018(星期一): Basic properties and examples of limits.
  • 9/19/2018(星期三): More examples of limits, continuity.
  • 9/26/2018(星期三): Limits involving infinity.
  • 10/1/2018(星期一): Introduction to differentiation.
  • 10/3/2018(星期三): Basic properties and formulae.
  • 10/8/2018(星期一): Higher derivatives and chain rule.
  • 10/10/2018(星期三): No Class (台灣國慶日).
  • 10/15/2018(星期一): Implicit differentiation and related rates.
  • 10/17/2018(星期三): Linear Approximations.
  • 10/22/2018(星期一): Max and min, mean value theorem.
  • 10/24/2018(星期三): Classification of critical points.
  • 10/29/2018(星期一): Second derivatives, curve sketching.
  • 10/31/2018(星期三): Optimizations.
  • 11/5/2018(星期一): Midterm 1.
  • 11/7/2018(星期三): Newton's methods, introduction to integrations.
  • 11/12/2018(星期一): Basic integration computations.
  • 11/14/2018(星期三): Fundamental Theorem of Calculus.
  • 11/19/2018(星期一): More on fundamental theorem of calculus.
  • 11/21/2018(星期三): u-substitutions and inverse functions.
  • 11/26/2018(星期一): Natural logarithm and exponential functions.
  • 11/28/2018(星期三): Graph of exponential/logarithm functions, the number e.
  • 12/3/2018(星期一): Exponential and logarithm functions of arbitrary bases, exponential growth and decay, inverse trig. functions.
  • 12/5/2018(星期三): Hyperbolic Functions.
  • 12/10/2018(星期一): Integration by parts.
  • 12/12/2018(星期三): L'Hospital's rules.
  • 12/17/2018(星期一): Trigonometric integrations.
  • 12/19/2018(星期三): Partial Fractions.
  • 12/24/2018(星期一): Improper integrals.
  • 12/26/2018(星期三): Area and volume.

    建議習題

  • Homework 1 (9/19/2018 演習課小考):
    Section 1.1: 25-29, 31-42.
    Section 1.2: 10-13.
    Section 1.3: 8, 9, 23, 24.
    Section 1.4: 1, 2, 5, 7, 9, 14, 16, 21, 24, 28, 33, 36, 40, 42, 45, 46, 49-56.
    Sectino 1.4: 57, 58, 59, 60, 63, 65.
  • Homework 2 (10/3/2018 演習課小考):
    Section 1.4: 49-56.
    Section 1.5: 9, 11, 12, 15-18, 21, 27, 28, 30, 33, 35, 37, 38, 40, 47.
  • Homework 3 (10/24/2018 演習課小考):
    Section 1.6: 1, 4, 6, 15, 16, 20, 22, 23, 25, 28, 32, 42, 45, 47, 53.
    Section 2.2: 1, 3, 23, 40.
    Section 2.3: 6, 8, 11, 19, 24, 28, 32, 33, 35, 39, 49, 56, 63.
    Section 2.4: 10, 13, 19, 22, 28, 36, 40, 42, 48, 49.
    Section 2.5: 10, 22, 23, 36, 41, 45, 47, 57, 60, 72, 76.
  • Homework 4: (建議習題，若要檢查確認過程，請親洽老師或助教):
    Section 2.6: 8, 13, 14, 17, 20, 21, 30, 39, 41.
    Section 2.7: 7, 18, 23, 26, 35, 37.
    Section 2.8: 2, 4, 12, 13, 22, 27.
    Section 3.1: 3, 4, 8, 24, 28, 29, 36, 40, 42, 44, 45, 52, 56, 57.
    Section 3.2: 15, 18, 20, 22, 28, 29, 32, 34.
    Section 3.3: 12, 14, 24, 30, 31, 34, 36, 44, 45.
    Section 3.4: 7, 13, 22, 34.
    Section 3.5: 5, 11, 13, 16, 29, 45, 47, 53.
  • Homework 5 (11/21/2018 演習課小考):
    Section 4.2: 7, 20, 30, 44.
    Section 4.3: 2~30 Even Excercises, 44, 46, 48.
    Section 4.4: 6, 8, 9, 10, 12, 13, 18, 25, 26, 27, 28, 32.
  • Homework 6 (12/12/2018 演習課小考):
    Section 5.2: 18, 22, 28, 32, 36, 44, 56, 60, 62.
    Section 5.3: 18, 24, 30, 32, 36, 40, 42, 43, 52, 61, 66, 72, 75.
    Section 5.4: 8, 25, 30, 31, 33, 34, 38, 43, 43.
    Section 5.5: 4, 7, 8, 16.
    Section 5.6: 4, 6, 10, 15, 20, 25, 28, 39, 40, 46.
  • Homework 7 (12/26/2018 演習課小考):
    Section 5.7:11, 14, 16, 31, 33.
    Section 5.8: 4, 12, 19, 24, 29, 30, 34, 35, 42, 50, 55, 57.
    Section 6.1: 4, 10, 18, 24, 27, 30, 35, 39, 46.
    Section 6.2: 3, 8, 13, 18, 22, 30, 34, 44, 46, 51, 54, 55, 63, 69, 70.
    Section 6.3: 4, 6, 12, 16, 22, 26, 38, 40, 42.
  • Homework 8 (建議習題，若要檢查確認過程，請親洽老師或助教):
    Section 6.6: 2, 7, 9, 12, 16, 19, 24, 29, 32, 43, 46, 48, 54.
    Section 7.1: 1, 4, 6, 14, 19, 33, 34, 39.
    Section 7.2: 4, 6, 10, 16, 32, 33, 36, 40, 47, 50, 54.

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