Math 1100: Quantitative Analysis
Fall 2013
Exam 1 Information
General Information:
• The test will be on Wednesday, September 25 during the regular class period.
• You will not be allowed to use a calculator.
• You must show your work. No credit will be given if no work is shown. Partial credit
will be given for partially correct solutions.
• The only thing you need to bring to class is a pen or pencil. Do not bring anything
else.
• We will spend Monday’s class reviewing. Part of this will be structured and part will
be answering your questions. You may either come to class with questions or email
them to me ahead of time (cobb@math.utah.edu).
• The test will be about 25% conceptual questions (study the more involved questions on
written homework), 50% computation (study quizzes and WebAssign questions, some
of the less involved written homework problems), and 25% application questions (study
mostly WebAssign, but some quizzes and written homework.) A more detailed list of
topics is below.
What To Study:
• The written homework is likely to be the best study guide.
• Section 9.1: Limits
– Compute limits using graphs, algebraic descriptions of functions, and tables of
values.
– Understand and interpret what a limit means.
– Try questions 4, 10, 11, 15, 22.
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• Section 9.2: Continuous Functions
– Define continuity (give the three conditions).
– Determine whether a function is continuous at a given point given a graph or
equation.
– Find points of discontinuity of a rational or piecewise defined function.
– Try questions 1, 3, 7, 14, 15.
• Section 9.3: Rates of change and derivatives
– Find the average rate of change of a function on an interval.
– Explain what a derivate represents.
– Give the definition of a derivative (using a limit).
– Compute a derivative using the definition.
– Try questions 1, 7, 18.
• Section 9.4-9.7: Derivative formulas
– Use the eight derivative formulas discussed in class.
– Find the instantaneous rate of change of a function.
– Find the equation of the tangent line to a function.
– Try questions 1, 3, 6, 7, 10, 11, 12, 14, 17, 19 from section 9.7; question 25 from
section 9.5
• Section 9.8: Higher-order derivatives
– Compute and interpret higher-order derivatives.
– Try questions 13, 16, 17, 33, 35.
• Section 9.9 Applications
– Interpret derivatives, particularly in business/financial applications.
– Use a derivative to approximate a function near a point.
– Try questions 3, 28
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