The first exam will cover the material we covered from chapters 1-3, 4.1, and 4.2. You should review your homework, discussion sheets, class notes, and the textbook. Some test problems will be like quiz problems while some may be harder than quiz problems. The test will involve calculations as well as writing sentences to explain an idea or interpret a result. Below is a list of topics.

• Equations of lines, slopes, meaning of slope, and rate of change (1.1). This is likely to be part of other problems including word problems.
• Exponential growth and decay and applications, both continuous time (1.2) and discrete time (2.1).
  • radioactive decay problems (1.2)
  • discrete time population models (2.1)
  • working with exponential functions and log functions
• Semilog and log-log graphs
  • create a log-log or semilog graph
  • create equation based on log-log or semilog graph
  • reading semilog and log-log graphs
• Sequences and recursion relations
  • performing recursion
  • meaning of fixed points
  • finding fixed points of recursion
  • writing recursion relation from word problem (2.1)
• Evaluating limits and knowing when and why they do not exist
  • limits of sequences (2.2)
  • limits of functions at finite points (3.1)
  • limits at infinity (3.3)
  • limits that require the sandwich theorem
  • trig limits related to sin(x)/x at x=0
• Derivatives (4.1,4.2)
  • understand the definition of derivative, including using it to find derivatives
  • understand what derivatives are and how their meaning relates to the technical definition
  • derivatives of polynomials using power rule
  • equations of tangent lines