Spring 2024 MATH1051
Calculus 2 五系微積分(二)

Syllabus 課程大綱
演習課教室分配

宣導事項

教學進度

  • 2/21/2024(星期三): Introduction to the course, trigonometric differentiation and integrations.
  • 2/23/2024 (星期五): More on trigonometric differentiation and integrations.
  • 2/28/2024(星期三): No class (和平紀念日).
  • 3/1/2024(星期五): Introduction to sequences.
  • 3/5/2024(星期三): Introduction to series,
  • 3/8/2024(星期五): kth term test, p-series.
  • 3/13/2024(星期三): Ratio tests and power series.
  • 3/15/2024(星期五): Term-by-term differentiation and integrations of power series.
  • 3/20/2024(星期三): Taylor and Maclaurin series.
  • 3/22/2024(星期五): Applications of Taylor series.
  • 3/27/2024(星期三): Midterm exam 1.
  • 3/29/2024(星期五): Introduction to discrete random variables.
  • 4/3/2024(星期三): Expected values and variances.
  • 4/5/2024(星期五): No class (清明節放假).
  • 4/10/2024(星期三): Continuous randaom variables.
  • 4/12/2024(星期五): Table of standard normal distributions.
  • 4/17/2024(星期三): Introduction to differential equations.
  • 4/19/2024(星期五): Separation of variable.
  • 4/24/2024(星期三): Integrating factors, application problems.
  • 4/26/2024(星期五): Mixing problems.
  • 5/1/2024(星期三): Introduction to 3-dimensional spaces, level sets, planes and spheres.
  • 5/3/2024(星期五): Quadric surfaces.
  • 5/8/2024(星期三): Midterm exam 1.
  • 5/10/2024(星期五): More quadric surfaces.
  • 5/15/2024(星期三): Introduction to partial derivatices.
  • 5/17/2024(星期五): Higher derivatives and mixed partials.
  • 5/22/2024(星期三): Critical points and second derivative tests.
  • 5/24/2024(星期五): Max-min problems.
  • 5/29/2024(星期三): Applications of Lagrange multipliers.
  • 5/31/2024(星期五): Least square lines of regressions.
  • 6/5/2024(星期三): Introduction to double integrals.
  • 6/7/2024(星期五): Problems and applications of double integrals.
  • 6/12/2024(星期三): More problems on double integrals, polar coordinates.
  • 6/14/2024(星期五): Double integrals using polar coordinates.

    建議習題

  • Homework 1 (3/1/2024 抽題小考):
    Section 8.4: 3, 9, 13, 21, 27, 47, 49, 59, 61, 65, 69, 71.
    Section 8.5: 3, 9, 11, 13, 19, 27, 35, 43, 51, 55, 59, 61.
  • Homework 2 (3/15/2024 抽題小考):
    Section 10.1: 13, 19, 23, 25, 29, 61, 63, 71.
    Section 10.2: 5, 7, 8, 11, 12, 15, 18, 21, 23, 25, 29, 33, 37, 39, 43, 45, 49, 51.
    Section 10.3: 9, 11, 13, 15, 17, 19, 25, 29, 31, 35, 51, 55, 59, 61.
  • Homework 3 (4/19/2024 抽題小考):
    Section 9.1: 3, 7, 9, 11, 12, 13, 14, 15, 17, 27, 29, 31, 33, 35, 36, 37.
    Section 9.2: 3, 5, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35.
    Section 9.3: 3, 5, 11, 23, 25, 27, 31, 33, 37, 39, 41, 43, 47, 49.
  • Homework 4 (5/3/2024 抽題小考):
    Section 11.2: 11, 15, 19, 21, 33, 36, 39, 41, 42.
    Section 11.3: 9, 13, 17, 21, 29, 31, 33.
    Section 11.4: 19, 21, 23, 27, 29, 31.
    Chapter 11 Review Exercises: 67, 69, 76, 77.
  • Homework 5 (5/24/2024 抽題小考):
    Section 7.2: 23-28, 41-47.
    Section 7.4: 5, 9, 11, 13, 17, 19, 21, 23, 25, 27, 31, 37, 47, 51, 57, 59, 63, 67, 71.
  • Homework 6 (6/13/2024 抽題小考):
    Section 7.5: 3, 5, 7, 13, 15, 17, 21, 23, 27, 29, 33, 37, 39, 45, 53, 54.
    Section 7.6: 13, 17, 21, 23, 27, 31, 37, 39.
    Section 7.7: 3, 11, 13, 17.
  • Homework 7 (第三次期中考建議練習):
    Section 7.8: 11, 13, 15, 21, 23, 25, 29, 39, 41, 43, 53, 55, 57, 59.
    Section 7.9: 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 35.

    考試相關

    講義

  • Table for Standard Normal Distribution