Fall 2020 MATH 1515
Calculus 1 電機甲微積分(一)

電機資訊共同課綱
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

  • 9/9/2020(星期三): Greetings, Pre-calculus review.
  • 9/11/2020(星期五): Introduction to limits.
  • 9/16/2020(星期三): Precise definition of limits, some limit computations, natural exponential and logarithm functions.
  • 9/18/2020(星期五): Squeeze Theorem and applications.
  • 9/23/2020(星期三): Trigonometric limits and continuity.
  • 9/25/2020(星期五): Introduction to differentiations.
  • 9/30/2020(星期三): Basic properties of differentiations and basic formula.
  • 10/2/2020(星期五): No Class (中秋節)。
  • 10/7/2020(星期三): Chain rules and introduction to implicit differentiations.
  • 10/9/2020(星期五): No Class (台灣國 慶日)。
  • 10/14/2020(星期三): Derivatives of ln and inverse functions, inverse trig. functions.
  • 10/16/2020(星期五): Exponential growth and decays, differentials.
  • 10/21/2020(星期三): Related rates, hyperbolic functions.
  • 10/23/2020(星期五): Monotonicty, local extreme values.
  • 10/28/2020(星期三): Rolle's theorem, mean value theorem, derivatives and graphs.
  • 10/30/2020(星期五): Curve sketching.
  • 11/4/2020(星期三): First Midterm.
  • 11/6/2020(星期五): l'Hospital's rule.
  • 11/11/2020(星期三): More curve sketching.
  • 11/13/2020(星期五): Optimizations.
  • 11/18/2020(星期三): Optimizations and Newton's method.
  • 11/20/2020(星期五): Introduction to integrations.
  • 11/25/2020(星期三): Riemann sums, fundamental theorem of calculus.
  • 11/27/2020(星期五): Basic properties of integration.
  • 12/2/2020(星期三): Change of variables, area between curces.
  • 12/4/2020(星期五): Volume computations and disc method.
  • 12/9/2020(星期三): Shell method, integration by parts.
  • 12/11/2020(星期五): Trigonometric integrals.
  • 12/16/2020(星期三): Trigonometric substitutions.
  • 12/18/2020(星期五): Partial fractions.
  • 12/23/2020(星期三): Improper integrals, comparison theorem.
  • 12/25/2020(星期五): Arclength.
  • 12/30/2020(星期三): Surface area and introduction to parametric equations.

    建議習題

  • Homework 1 (9/18/2020 演習課小考):
    Section 2.2: 4, 6, 8, 11, 30, 35, 36, 38.
    Section 2.3: 14, 17, 20, 23, 28, 30, 33, 45, 48, 49, 61, 63.
    Section 2.4: 22, 30, 32, 37, 39.
  • Homework 2 (10/2/2020 該週另找時間小考):
    Section 3.3: 45, 48, 51, 52, 56, 58, 60.
    Section 2.3: 55, 57.
    Section 2.5: 14, 20, 24, 44, 45, 48 ,56, 71, 72, 74.
    Section 2.6: 26, 30, 31, 36, 38, 42.
  • Homework 3 (10/16/2020 演習課小考):
    Section 2.8: 27, 32.
    Section 3.1: 6 - 36 (even), 40, 59, 61, 65, 67, 72, 76, 78, 83.
    Section 3.2: 32, 34, 36, 46, 47, 49, 57.
    Section 3.3: 2 - 22 (even), 29, 62, 66, 67.
    Section 3.4: 28 - 46 (even), 60, 74, 76, 80, 83, 86, 95.
    Section 3.5: 16, 18, 30, 33, 35, 48, 51, 63, 66.
  • Homework 4 (10/30/2020 演習課小考):
    Section 3.6: 16, 17, 23, 26, 30, 36, 37, 40, 59, 60, 61, 62, 70, 72, 77, 84, 86.
    Section 3.8: 3, 6, 7, 16.
    Section 3.9: 8, 9, 18, 26, 29, 30, 37, 39, 44.
    Section 3.10: 14, 18, 24, 35, 36, 42, 44, 47.
    Section 3.11: 15, 16, 20, 23, 40, 46, 54.
  • Homework 5 (11/4/2020 期中考建議練習題):
    Section 4.1: 31, 35, 40, 44, 45, 47, 53, 55, 57, 60, 62, 64.
    Section 4.2: 13, 21, 26, 30, 35.
    Section 4.3: 12, 15, 16, 18, 21, 22, 26, 28, 50, 56.
    Section 4.5: 12, 24, 30, 34, 40, 44, 48.
    Chapter 3 Problem Plus: 10, 18, 25.
    Chapter 4 Problem Plus: 9, 11, 20.
  • Homework 6 (11/20/2020 演習課小考):
    Section 4.4: 8, 10, 14, 15, 18, 22, 27, 28, 41, 44, 54, 56, 58, 62, 70, 86, 90, 91.
    Section 4.7: 10, 14, 18, 20, 23, 26, 32, 40, 47, 50, 73, 79, 85.
    Chapter 4 Problem Plus: 2, 3, 10, 12, 19, 22.
    Section 5.2: 20, 26, 31, 35, 66, 68, 83.
  • Homework 7 (12/4/2020 演習課小考):
    Section 5.3: 10, 12, 16, 18, 24, 25, 30, 32, 40, 41, 44, 48, 53, 68, 71, 75, 78, 80, 81, 82, 83, 84, 86, 89, 93.
    Section 5.4: 24, 23, 36, 48.
    Section 5.5: 10, 14, 18, 20, 24, 26, 34, 42, 50, 66, 70, 76, 80, 94, 97, 98, 99, 100.
  • Homework 8 (12/18/2020 演習課小考):
    Chapter 5 Problem Plus: 1, 3, 6, 8, 11, 16, 18, 19.
    Section 6.1: 8, 13, 16, 18, 22, 24, 27, 30, 31, 34, 36, 44.
    Section 6.2: 7, 9, 12, 16, 20, 22, 24, 28, 60, 61, 64, 68, 69, 75, 78, 79, 80, 81.
    Section 6.3: 10, 14, 16, 18, 20, 22, 28, 30, 56, 58.
    Section 7.1: 2, 4, 12, 16, 18, 22, 28, 32, 38, 43, 44, 47, 53, 54, 57, 60, 76, 80.
    Section 7.2: 6, 14, 18, 22, 26, 36, 40, 46, 47, 48, 52, 56, 72, 75-78.
  • Homework 9 (1/6/2020 期末考建議習題):
    Section 7.3: 10~36 even exercises, 41, 43, 47, 48, 49.
    Section 7.4: 8, 12, 18, 22, 28, 32, 34, 38, 40, 42, 46, 47, 50, 52, 58, 62, 63, 65, 67.
    Section 7.8: 6, 8, 10, 18, 21, 22, 23, 26, 28, 31, 32, 37, 40, 43, 46, 47, 48, 58, 60, 62, 64, 73, 74.
    Chapter 7 Problem Plus: 2, 4, 5, 9, 11, 15, 16.
    Section 8.1: 12, 13, 15, 17, 21, 24, 39, 48, 49.
    Section 8.2: 6, 12, 14, 18, 20, 33, 34, 37, 41, 42, 43.
    Chapter 8 Problem Plus: 1, 3.
    *注意* 期中考與乙丙班共同出題故此範圍內之考題未必與作業習題完全相關。

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