Math 152 Final Exam Information


Administrative Details
  • The exam will be administered Friday, 6 Dec from 12:30-2:30pm (9:35 lecture) or 3-5pm (11:10 lecture) in HELD 111. Seating assignments will be posted 15 minutes prior to start of exam.
  • The exam will have two parts. Part I will have 15 questions with multiple-choice answers. You are to circle the correct choice on your exam and mark the correct choice on your 815-E Scantron (bring to exam). Part II questions (7) will be entirely workout problems. Partial credit will be given for appropriate work shown on these problems.
  • SCIENTIFIC (non-graphing, non-programable, non-network) calculators WILL BE ALLOWED (but not required) the entire exam.
  • Bring: Writing Utensils, Picture ID, Calculator
    Students without a picture ID may have their picture taken and be asked to bring a picture ID to my office in order to have their grade recorded!


  • Topics Which WILL Be Covered on the Final Exam
    NOTE: If a topic from 6.5-11.2 is not on the list below, then it will not be on the final exam in any way, shape, or form! 11.3 and 13.4 is presented in its entirety
  • Substitution (6.5)
  • Changing Boundaries in Substitution (6.5)
  • Area between curves (single region) (7.1)
  • Area between curves (multiple regions) (7.1)
  • Area integrating in y (7.1)
  • Volumes (slices) (7.2)
  • Volumes (shells) (7.3)
  • Average Value of a Function (7.5)
  • Integration by parts (8.1)
  • Integration of all 6 trig functions (8.2: sec and csc GIVEN)
  • Integration of squares of all 6 trig functions (8.2)
  • Integration of powers of sin/cos (8.2)
  • KNOW Trig Identities (App D) (8.2)
  • Trig Substitution (8.3)
  • Reference Triangles (return to original variable) (8.3)
  • Partial fractions (ALL FORMS) (8.4)
  • Improper Integral-Type I (x unbounded) (8.9)
  • P-test for Improper Integrals
  • Arclength (parametric) (9.3)
  • Surface Area (parametric) (9.4)
  • Limits of Sequences (10.1)
  • Increasing/Decreasing Sequences (10.1)
  • Geometric series (10.2)
  • Partial Sums of a Series (10.2)
  • Test for Divergence (10.2)
  • Integral Test (10.3)
  • Limit Comparison Test (10.3)
  • Comparison Test (10.3)
  • P Test (10.3)
  • Absolute convergence (10.4)
  • Alternating Series Test (10.4)
  • Ratio Test (10.4)
  • Radius of Convergence (10.5)
  • Power Series (10.5)
  • Interval of Convergence (10.5)
  • Functions as Power series (10.6)
  • Integrals of Power Series (10.6)
  • Taylor Series of a Function (10.7)
  • Maclaurin Series of a Function (10.7)
  • Taylor's Inequality (formula GIVEN) (10.7)
  • Error Estimation in Taylor Polynomials (10.9)
  • Taylor Polynomials (10.9)
  • Distance between points (11.1)
  • Vectors (11.2)
  • Magnitude (11.2)
  • Unit Vectors (11.2)
  • i/j/k notation (11.2)
  • Dot Product (computation formula) (11.2)
  • Cross Product (11.3)
  • Geometric Significance of Cross Product Magnitude (11.3)
  • Scalar Triple Product (11.3)
  • Torque (11.3)
  • Polar Coordinates (13.4)
  • Convert Points Cartesian <__> Polar (13.4)
  • Convert Equations Cartesian <__> Polar (13.4)
  • Graphs of Polar Equations (13.4)

  • The above topics may occur on more than one question, and each question can cover more than one topic.

    Approximate Breakdown by Content
  • Exam I: 28%
  • Exam II: 28%
  • Exam III: 28%
  • New Material (11.3,13.4): 17%

    Topics which will NOT appear on the Final

  • Volume of "Cross-Section" solids (7.2)
  • Revolutions about a nonzero axis (7.2, 7.3, 9.4)
  • Work (7.4)
  • Geometric Interpretation of Average Value (7.5)
  • Find x such that f(x)=favg (7.5)
  • Integration of powers of tan/sec or cot/csc (8.2)
  • Product to Sum Identities (8.2)
  • Type II Improper Integrals (8.9)
  • Comparison Test FOR INTEGRALS (8.9)
  • Arclength and Surface area of functions (9.3, 9.4)
  • Bounded Sequences (10.1)
  • Limit of a Recursive Sequence (10.1)
  • Telescoping Series (10.2)
  • Integral Test Remainder Formula (10.3)
  • AST Remainder Formula (10.4)
  • Derivatives of Power Series (10.6)
  • Midpoint Formula (11.1)
  • Equation of a Sphere (11.1)
  • Definition of Dot Product (11.2)
  • Angle Between Vectors (11.2)
  • Scalar/Vector Projections (11.2)
  • Work (11.2)

    Resources Preparing for the Final
  • Ofc Hrs week of Final: M 2-4pm; T 4-5pm; W 11am-12noon, 4-5pm OBA
  • Homework Problems from the textbook
  • Online HW
  • Past Common Exams
  • Week in Review from this semester
  • Video Week in Review from Spring 2007
  • Old Final Exam (will go over in Review Thursday 5 Dec 2-4pm in BLOC 102)
  • (NOTE-For old material, I recommend looking over your old exams as a starting point. If you were unable to work a particular topic the first time and/or now, I would go back to the Homework and work a few examples along that topic. If you were able to work a particular topic then and still can do it now, don't worry about doing much of the Homework on that topic.)

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