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Course Outline:

  1. Foundations
    1. Intervals, Inequalities, and Absolute Values
    2. Lines and Circles
    3. Functions, their Notation and Graphs
    4. Trignonometric Functions
  2. Limits and Graphs
    1. Limits and Continuity
    2. Graphs and Asymptotes
    3. Formal Definition and $\epsilon$-$\delta$ Proofs
  3. Differentiation
    1. Calculating Derivatives by Definition
    2. Differentiation Rules
      1. Sum Rule
      2. Product Rule
      3. Quotient Rule
      4. Power Rule
      5. Chain Rule
      6. Trigonometric Rules
    3. Implicit Differentiation
  4. Applications of Differentiation
    1. Taylor Polynomials and Approximations
    2. Curve Sketching
    3. Critical Points
    4. Optimization Problems
    5. Related Rates Problems
    6. Rectilinear Motion
    7. Newton's Method

See the course calendar for details concerning exams and quizzes.


[HOME] Math 110 (Fall 2006) web pages
Created: 02 Sep 2006
Last modified: Nov 10, 2006 10:54:36 AM
Comments to: dpvc@union.edu
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