Math 1100: Quantitative Analysis
Fall 2013
Exam 3 Information
General Information:
• The test will be on Wednesday, December 4 during the regular class period.
• You will not be allowed to use a calculator. Questions will be written so that a
calculator is not necessary.
• 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 some of the topics that will be on the test. It
will not be a complete.
• The test will cover chapters 12 and 13, which are concerned with indefinite and definite
integrals, respectively. A detailed list of topics is below.
• Seats will be assigned for the exam.
What To Study:
• The written homework is likely to be the best study guide.
• Section 12.1: Indefinite integrals
– Define an indefinite integral.
– Compute indefinite integrals of powers of x.
– Use basic properties of integrals.
• Section 12.2: Substitution
– Use substitution to evaluate indefinite integrals
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• Section 12.3: Integrals involving exponential and logarithmic functions
– Integrate ex and x1 .
– Use substitution in integrals involving exponents and logarithms.
• Section 12.4: Business Applications of Indefinite Integrals
– Use integration to find total cost given marginal cost.
– Use information about total cost and total revenue to optimize profit.
• Section 12.5: Differential Equations
– Use integration to find solutions to differential equations.
– Solve differential equations by separating variables.
– Use a given value to find a particular solution to a differential equation.
– Solve application problems involving differential equations.
• Section 13.1: Area under a curve
– Approximate area under a curve using rectangles.
• Section 13.2: Definite Integrals and the Fundamental Theorem of Calculus
– Use definite integrals to describe areas.
– Evaluate definite integrals using the Fundamental Theorem of Calculus.
• Section 13.3: Area between two curves
– Find the area between two curves.
– Find the average value of a function (we’ll cover this 11/27).
• Section 13.7: Improper integrals
– Evaluate improper integrals.
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