Argentum Pond

1 Fundamentals of Chemistry

blah blah chemistry

  • Secant Lines and Velocity – As an introduction to all things limits we take a look at secant lines and velocity, which are topics that should not be new. This will be a review, but also help to introduce limits as a whole.
  • The Limit – We start to look at limits as a concept, understanding them graphically and with tables.
  • Limit Laws – The properties of limits and their laws. How limits interact with each other and how they related to solving.
  • One Sided Limits – How to determine limits when only looking from one side of the limit.
  • Solving Limits – Methods and techniques used to solving limits. This is the bulk of the problems you may run into for limits of a calculus 1 course.
    • Direct Substitution
    • Factoring and Elimination
    • Conjugates
    • Complex Fractions
    • Squeeze Theorem
  • Infinite Limits – Limits that diverge to infinity. These may lead to asymptotes in the graphs. Not to be confused with limits AT infinity.
  • Limits At Infinity – Limits that may converge or diverge as the x values limit toward infinity. Not to be confused to infinite limits, although a limit at infinity may limit toward infinity.
  • Continuity – A revisit to the continuity concept learned in algebra and geometry, with a more robust definition.
  • Definition of Limit – A look into the formal definition of the limit. Some calculus courses skip this section so don’t worry if you haven’t seen this before or want to skip over this. Often this is discussed in intro analysis courses.