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Course Outline:

  1. Foundations
    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 B, 0.4)
  2. Limits and Graphs
    1. Limits and Continuity (1.1, 1.2, 1.3, 1.5)
    2. Graphs and Asymptotes (Appendic B and C, 1.5)
    3. Formal Definition and $\epsilon$-$\delta$ Proofs (1.4)
  3. Differentiation
    1. Calculating Derivatives by Definition (2.1, 2.2)
    2. 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
    3. Implicit Differentiation (3.1)
  4. Applications of Differentiation
    1. Related Rates Problems (3.4)
    2. Local Linear Approximations

See the course calendar for details concerning exams and quizzes.



[HOME] Math 100 (Fall 2017) web pages
Created: 04 Sep 2017
Last modified: Sep 4, 2017 4:40:55 PM
Comments to: dpvc@union.edu
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