Study Guide for Exam II



Administrative Details
  • The exam is Thursday, 23 Oct from 7:30-9:30pm in room HECC 207. Seating charts will be posted by 7:15pm outside the doors.
  • The exam will consist of two parts. Part I will have multiple-choice answers; mark the letter of the best choice on your Scantron. No work will be graded and no partial credit will be given. Part II will consist of workout problems. All answers must be justified with appropriate algebraic work. Partial credit will be given for appropriate work shown.
  • Calculators are not allowed at any time on the exam.
  • Bring: Writing Utensil, Scantron 882 (in advance), Picture ID
    Students without a picture ID may have to bring a picture ID to my office and sign a document allowing them to pick up their exam and have the grade recorded!

    Summary of Topics 3.3-4.3 (asterisks indicate key formulas, theorems, or definitions to know)

  • Velocity (Derivative of Position)

  • Limits Involving Trig Functions*
  • Derivatives of Trig Functions*
  • Appendix D

  • Chain Rule*
  • Multiple Chain Rule

  • Implicit Differentiation
  • Tangent Lines to Implicit Curves
  • Orthogonal Curves
  • Orthogonal Trajectories (families of curves)

  • Derivatives of Vector Functions
  • Unit Tangent Vector
  • Velocity/Speed
  • Angle of Intersection of Curves

  • Higher Derivatives
  • Patterns of Higher Derivatives
  • Acceleration

  • Tangent Lines of Parametric Curves*
  • Horizontal and Vertical Tangents
  • Given parameter vs. Given point (when vs. where)

  • Related Rates
  • Problem-Solving Strategies
  • Eliminating Variables

  • Linear Approximation* (tangent line!)
  • Differentials*
  • Using Differentials to Estimate Error
  • Quadratic Approximation*

  • Newton's Method

  • Properties of Exponents
  • Limits of Exponential Functions (know graphs!)
  • Derivative of ex*
  • Differential Equations and ex

  • One-to-one Functions
  • Finding the Inverse of a One-to-one Function
  • Derivatives of Inverse Functions*

  • Logarithmic Functions*
  • Properties of Logarithms*
  • Solving Exponential Equations using Logarithms
  • Solving Logarithmic Equations
  • Domain of Logarithmic Functions
  • Limits of Logarithmic Functions (know graph!)

    Suggestions for Studying:
  • Read your textbook, including all Examples
  • Read your notes from lecture, including all Examples
  • Suggested Homework Problems
  • Past 151 Common Exams (Fall 2003 Monday, Spring 2003 Wednesday)
  • Week in Review/Night Before Drill via streaming video online
  • Live Week in Reviews Tuesdays 7-9pm BLOC 165

    Return to David Manuel's Math 151 Homepage


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