Test 3 Study Guide: 9.4, 9.5, 10.1, 10.2, 10.3, 10.4, 11.1, 11.2, 11.4, 11.5, 11.6, test 1 and test 2 material and related material from prior classes

At the Test

  • NO calculators will be allowed.
  • The backs of pages will be blank--use these as your scratch paper. Ask me if you need more.
  • I will staple a copy of the series theorems sheet and the Algebra, Geometry, Trigonometry and Derivative Review to your test.
  • You may make yourself a cheat sheet on BOTH sides of the small card I hand out (additional cards are on my door if you need to rewrite it). You are limited to the card, and that card must be handwritten, and aside from writing utensils, this is the only item you are allowed. I will separate the test into a section that has material from Chapters 7 and 8, and then another section that has material from Chapters 9, 10 and 11, so you may want to organize your cheat sheet that way.
  • Your grade will be based on the quality of your responses in a timed environment. All tests must be turned in when class ends.
  • The test will have more pages than test 1 and test 2. You may use the entire time period or you may leave if you are finished early.

    Topics to Study

  • This test will cover sections 7.1, 7.2, 7.4, 7.5, 7.6, 8.1, 8.2, 8.4 (density only), 8.5 (work only), 9.1, 9.2 and 9.3, 9.4, 9.5, 10.1, 10.2, 10.3, 10.4, 11.1, 11.2, 11.4, 11.5, 11.6 as well as related material from prior classes.
  • This test is comprehensive, although there will be more problems from newer material than from previous material.
  • Questions will be the same (or very similar) to those you have seen before from class notes, homework, quizzes, test 1 and test 2, group work or clicker questions.
  • Online Test 3 Practice Problems (optional) are up on Wileyplus, and the Test 1 and Test 2 Practice Problems (optional) remain available too.

    The new material since test 2 includes more series tests (see the series theorems sheet), radius or interval of convergence of a power series or Taylor series, Taylor polynomials and series, finding new series from known ones, the error bound formula, whether a function solves a differential equation, finding a particular solution with an initial condition, slope fields and equilibrium points, separation of variables, and setting up and solving differential equations. Test 2 topics included numerical integration, length and arc length, areas and volumes by slicing, volume by surface of revolution, density, work, sequences, geometric series and series in 9.3 including partial sums and the integral test. Test 1 material included integrals from calc 1 such as the FTC on a known derivative, and splitting up a numerator into its sums, as well as substitution, parts, partial fractions, trig sub, and improper integrals. Material from previous classes includes slope directions, the tangent line, above or below the x-axis via the sign of the function value, increasing or decreasing via the sign of the first derivative, concave up or down via the sign of the second derivative, graphs of functions, left and right sums, Riemann sums, limits, L'Hopitals rule, divide by the highest term in limits, Pythagorean theorem, similarity of triangles, area of a circle, area of a rectangle, volume of a cylinder...