Spring 2022 MATH 1082
Calculus 2 生命生技微積分(二)

Syllabus 課程大綱

宣導事項

教學進度

  • 2/14/2022(星期一): Introduction to differential equations, phase plots and stabilities.
  • 2/16/2022(星期三): More on phase plots, stabilities.
  • 2/21/2022(星期一): Euler's methods and separable equations.
  • 2/23/2022(星期三): Separable equations, Quiz 1.
  • 2/28/2022(星期一): Systems of differential equations, phase plane analysis.
  • 3/2/2022(星期三): Phase plane analysis for predator-prey model.
  • 3/7/2022(星期一): Phase plane analysis for competition model.
  • 3/9/2022(星期三): Review of vectors in R^3, Quiz 2.
  • 3/14/2022(星期一): Dot products, matrices and linear maps.
  • 3/16/2022(星期三): Matrices and linear maps, matric algebras.
  • 3/21/2022(星期一): Matrix multiplications and compositions, dynamics of vectors.
  • 3/23/2022(星期三): Matrices and dynamics of vectors.
  • 3/28/2022(星期一): Inverse matrices and determinants, eigenvalues/eigenvectors.
  • 3/30/2022(星期三): Eigenvalues/eigenvectors.
  • 4/6/2022(星期三): More on eigenvalues/eigenvectors, dia
  • 4/11/2022(星期一): Diagonalizable matrices, iterated matirx models.
  • 4/13/2022(星期三): Limit and continuity.
  • 4/18/2022(星期一): Partial derivatives.
  • 4/20/2022(星期三): Equalities of mixed partials.
  • 4/25/2022(星期一): Tangent plane and linear approximations.
  • 4/27/2000(星期三): Quiz 4.
  • 5/2/2022(星期一): Chain rules and directional derivatives.
  • 5/4/2022(星期三): Gradients and direction of most rapid changes.
  • 5/9/2022(星期一): Tangent planes and linear approximations.
  • 5/11/2022(星期三): Optimizations.
  • 5/16/2022(星期一): Introduction to system of linear differential equations.
  • 5/18/2022(星期三): Stability and dynamics of system of linear differential equations.
  • 5/23/2022(星期一): Systems of nonlinear differential equations.
  • 5/25/2022(星期三): Introduction to probablity.
  • 5/30/2022(星期一): Permutations and combications, some examples of basic probability, probability of unions.
  • 6/1/2022(星期三): Conditional probability, independent events, Bayes Theorem.
  • 6/6/2022(星期一): Discrete random variables, introduction to continuous random variables.
  • 6/8/2022(星期二): Continuous random variables.

    建議習題

  • Homework 1 (2/23/2022 抽題小考):
    Section 7.1: 7, 9, 15.
    Section 7.2: 7, 11, 12, 13, 14, 20.
    Section 7.3: 2, 3, 5, 11, 20, 21, 24.
  • Homework 2 (3/9/2022 抽題小考):
    Section 7.4: 5, 9, 13, 15, 18, 19, 21, 29, 32, 33, 34, 39, 42, 44, 47, 50.
    Section 7.5: 5, 7, 11, 12, 13, 15, 22, 23.
  • Homework 3 (3/23/2022 抽題小考):
    Section 8.3: 12, 24, 25, 28, 30, 33, 36.
    Section 8.4: 2, 3, 7, 13, 16, 17, 18.
    Section 8.5: 3, 5, 10, 11, 15, 17.
    Section 8.6: 1, 5, 9, 10, 11, 13, 19, 21, 31, 33, 34.
  • Homework 4 (4/13/2022 抽題小考):
    Section 8.6: 1, 5, 9, 10, 11, 13, 19, 21, 31, 33, 34.
    Section 8.7: 1, 2, 3, 4, 8, 9, 10abc, 11, 12bc, 15, 18, 20, 22, 29.
    Section 8.8: 11, 15, 19, 23, 27, 29, 31, 33, 38, 39.
    Section 9.1: 17, 20, 26, 30, 33, 37, 51, 53, 55, 57, 65, 63, 66.
    Section 9.2: 15, 19, 25, 29, 32, 33, 35, 43, 45, 48, 49.
  • Homework 5 (5/11/2022 抽題小考):
    Section 9.3: 3, 5, 9, 15, 17, 20, 22.
    Section 9.4: 3, 5, 9, 11, 13, 16, 17, 20, 22, 29.
    Section 9.5: 7, 13, 15, 19, 21, 24, 27, 29.
    Section 9.6: 2, 3, 5, 7, 11, 15, 17, 19, 25, 27, 35, 39.
  • Homework 6 (6/1/2022 Moodle 線上繳交):
    Section 10.1: 8, 12, 16, 20, 25, 32.
    Section 10.2: 6, 12, 18, 22, 27.
    Section 10.3: 3, 6, 10.
    Section 10.4: 4, 7, 10, 16, 18, 26.
    請詳細閱覽Moodle頁面之繳交說明!!
  • Homework 7 (6/15/2022 Moodle 線上繳交):
    Section 12.2: 6, 9, 10, 13, 15, 20, 34, 36, 38.
    Section 12.3: 4, 6, 12, 13, 14, 20, 29, 30, 56, 59.
    Section 12.4: 1, 12, 13, 16, 20, 21, 25, 43, 50, 61, 72.
    Section 12.5: 5, 8, 10, 17, 20, 27, 30, 34, 44, 50, 55, 72.
    請詳細閱覽Moodle頁面之繳交說明!!

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