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Course Outline:


  1. Prerequisites
    1. Intervals, Inequalities, and Absolute Values (Appendix F and G)
    2. Lines and Circles (Appendix H and I)
    3. Functions, their Notation and Graphs (Appendix B, C, D)
    4. Compositions and Inverses (Appendices D, E, 1.7)
    5. Exponentials and Logarithms (1.8)
    6. Trignonometric Functions (Appendix A, 0.4)

  1. Limits and Graphs
    1. Functions, their Notation, and Graphs (Appendix B, C, D)
    2. Limits (1.1, 1.2, 1.3)
    3. Continuity (1.5, 1.6)
    4. Graphs and Asymptotes (Appendices B and C, 1.5)
  2. Differentiation
    1. Tangent Lines and Rates of Change (2.1, 2.2)
    2. Calculating Derivatives by Definition (2.1, 2.2)
    3. Differentiation Rules (2.3, 2.4, 2.5, 2.6, 3.2, 3.3)
      1. Sum Rule
      2. Product Rule
      3. Quotient Rule
      4. Power Rule
      5. Chain Rule
      6. Trigonometric Rules
      7. Exponential and Log Rules
      8. Inverse Trigonometric Rules
    4. Implicit Differentiation (3.1)
    5. Logarithmic Differentiation (3.2)
  3. Applications of Differentiation
    1. Related Rates Problems (3.4)
    2. Local Linear Approximations (3.5)
    3. Analysis of Functions
      1. Increasing, Decreasing, Concavity (4.1)
      2. Reletive Extrema and Graphs (4.2)
      3. Rational Functions, Cusps, and Vertical Tangents (4.3)
      4. Absolute Maximum and Minimum (4.4)
    4. Optimization Problems (4.5)
    5. Rectilinear Motion (4.6)
    6. Mean-Value Theorem (4.7)
  4. Infinite Series
    1. Maclaurin and Taylor Polynomials (9.7)
    2. Maclaurin and Taylor Series (9.8)
    3. Power Series (9.8)
    4. Derivatives of Power Series (9.10)
    5. L'Hôpital's Rule (3.6)

See the course calendar for details concerning exams and quizzes.



[HOME] Math 110 (Fall 2021) web pages
Created: 11 Sep 2021
Last modified: 11 Sep 2021 at 8:12 PM
Comments to: dpvc@union.edu
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