Fall 2018 MATH 1516
Calculus 2 化學地科微積分(二)

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

  • 2/18/2019(星期一): Volume of revolution (shell method), arclengths.
  • 2/20/2019(星期三): Surface area for surface of revolutions.
  • 2/25/2019(星期一): Introduction to sequences, basic properties.
  • 2/27/2019(星期三): Introduction to series.
  • 3/4/2019(星期一): kth term test, integral and comparison tests.
  • 3/6/2019(星期三): some typical limit, root and ratio tests.
  • 3/11/2019(星期一): Alternating series test, power series.
  • 3/13/2019(星期三): Representing functions as power series.
  • 3/18/2019(星期一): Taylor and Maclaurin series.
  • 3/20/2019(星期三): Binomial series, introduction to parametric equations.
  • 3/25/2019(星期一): More on parametric equations, cycloids, calculus of parametric equations.
  • 3/27/2019(星期三): Polar coordinates and its calculus.
  • 4/8/2019(星期一): Finish polar coordinates, review of vectors in R^3.
  • 4/10/2019(星期三): Quadric surfaces and vector functions.
  • 4/15/2019(星期一): Tangent vectors and arclength.
  • 4/17/2019(星期三): Functions of several variables.
  • 4/22/2109(星期一): Midterm 1.
  • 4/24/2019(星期三): Introduction to partial derivatives.
  • 4/29/2019(星期一): Mixed partials and tangent planes.
  • 5/1/2019(星期三): Chain rules, directional derivatives and gradients.
  • 5/6/2019(星期一): Gradients vs. tangent planes.
  • 5/8/2019(星期三): Introduction to max/min.
  • 5/13/2019(星期一): Max/min.
  • 5/15/2019(星期三): Lagrange Multipliers.
  • 5/20/2019(星期一): Introduction to double integrals, double integrals over general regions.
  • 5/22/2019(星期三): Double integrals with polar coordinates.

    建議習題

  • Homework 1 (2/27 演習課小考):
    Section 7.3: 4, 9, 14, 16, 20, 35, 35, 40.
    Section 7.4: 9, 12, 18, 34.
    Section 7.5: 9, 12, 16, 20.
    Section 8.1: 10, 14, 19, 20, 23, 26, 29, 30.
  • Homework 2 (3/13 演習課小考):
    Section 8.1: 41, 52.
    Section 8.2: 10, 12, 20, 22, 26, 48, 59.
    Section 8.3: 8, 10, 12, 18, 23, 26, 29, 32, 33, 40, 42, 43.
    Section 8.4: 6, 10, 16, 22, 26, 29, 30, 34, 38, 40.
    Section 8.5: 8, 13, 14, 18, 19, 22, 23, 32.
  • Homework 3 (3/27 演習課小考):
    Section 8.6: 6, 9, 12, 15, 26, 28, 35, 36, 40, 41.
    Section 8.7: 6, 8, 10, 13, 16, 32, 35, 44, 50, 52, 53, 57, 60, 63, 67, 70.
    Section 8.8: 19, 20.
  • Homework 4 (4/17 演習課小考):
    Section 9.1: 2, 10, 12, 16, 22.
    Section 9.2: 4, 10, 15, 16.
    Section 9.3: 2, 4, 10, 12, 14, 16, 19, 20, 26, 30, 40.
    Section 9.4: 4, 8, 12, 26, 30.0
    Section 10.6: 12, 16, 20, 24, 24.
  • Homework 5 (4/22 期中考範圍內):
    Section 10.7: 9, 12, 18, 20, 28, 30, 34, 40, 42, 50, 79, 83.
    Section 10.8: 2, 4.
    Section 11.1: 7, 11, 12, 18, 20, 22, 26, 32.
    Section 11.2: 4, 7, 9, 12, 14, 16, 22, 27.
  • Homework 6 (5/8 演習課小考):
    Section 11.3: 3, 4, 8, 9, 14, 18, 20, 23, 30, 36, 48, 54, 64, 66, 73, 79, 80, 83bcde.
    Section 11.4: 4, 6, 12, 16, 20, 22, 30, 33, 34.
  • Homework 7 (5/22 演習課小考):
    Section 11.5: 17, 21, 29, 32, 38, 41, 47.
    Section 11.6: 8, 9, 16, 20, 24, 29, 33, 35, 40, 43, 44, 49.
    Section 11.7: 8, 13, 1425, 28, 43, 46.
  • Homework 8 (6/5 演習課小考):
    Section 11.8: 4, 11, 18, 22, 36, 40, 48.
    Section 12.1: 14, 16, 20, 23, 26, 30, 34, 41.
    Section 12.2: 8, 15, 17, 22, 26, 43, 44, 47, 49, 50, 56, 58.
    Section 12.3: 6, 8, 10, 11, 14, 16, 18, 22, 24, 26, 29.
    Section 12.8: 6, 7, 9, 12, 15, 19, 23, 25.
  • Homework 9 (6/12 演習課小考-加分性質):
    Section 12.5: 4, 8, 12, 16, 31.
    Section 12.6: 18, 22, 29.
    Section 12.7: 8, 12, 18, 23, 27a, 28, 38.
    Section 13.1: 8, 14, 18.
    Section 13.2: 4, 6, 10, 14, 20.
    Section 13.3: 12, 13, 16, 18, 20, 31.
  • Homework 10 (Suggested Problems on 13.4):
    Section 13.4: 2, 6, 7, 12, 14, 18, 27.

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