text: Overview of: Integration exam - Math Insight
  Overview of: Integration exam
  The integration module exam for Math 1241 is based on part 5 from the Math 1241 thread.
  Solving pure-time differential equations
  Calculate a general solution to a pure-time differential equation as an indefinite integral, including an arbitrary constant.
  Given an initial condition, determine the value of the constant, resulting in a specific solution.
  Given a graph of the right hand side of a pure-time differential equation (e.g.,, a graph of $f(t)$ for the equation $\diff{x}{t} = f(t)$), sketch a graph of the solution. Be sure that your sketch matches the initial condition, as well as the intervals where the solution is increasing or decreasing.
  Estimate the solution to a pure-time differential equation using the Forward Euler algorithm.
  Calculate an indefinite integral as an antiderivative, including an arbitrary constant.
  Calculate a definite integral, resulting in a single number. Use the Fundamental Theorem of Calculus to determine that single number from the indefinite integral.
  Estimate a definite integral using a left or right Riemann sum.
  Compute the area between the graph of a function and the $x$-axis.
  Use an integral to calculate the average of a quantity over an interval.
  Use a pure time differential equation to solve for population size as a function of time.
  All questions that may appear in the integration exam are available so that you can practice them. In both these problems and on the actual exam, the set of problems as well as values of numbers, variables, parameters, and other quantities are selected randomly. You will want to generate multiple versions of the problems to see the larger array of problems. Given the random nature, we cannot guarantee that you will actually see all the problems that will appear on the exam. But the more problems you work on, the greater the chance you will work on problems that will show up on the test.
  Review questions: Pure-time differential equation problems and Review questions: Integration problems contain problems that reflect the format of questions as they would appear on the exam.
  Online quiz: Quiz 7, and Online quiz: Quiz 8 are good practice.
  You can take the exam as many times as you like between 11:00 AM on Thursday, November 19 and 2:30 PM on Thursday, December 3. Click the "Generate new assessment attempt" at the bottom of the exam to get a new exam. If you take the exam more than once, your exam score will be the maximum of your scores from the attempts.