MATH 250 REVIEW TOPICS

These Review Topics are still under development. Some topics are available and the links are completely functional. Some topics have links that are only partially functional. Thank you for your patience.

Listed below are topics from Calculus I plus some concepts from algebra and trigonometry that are essential for Calculus II. Clicking on a topic will lead to an explanation which includes exercises, sample problems, and written solutions. If this is not sufficient, you should consult your Calculus I textbook or ask someone for help.

It is important that you get pencil and paper and actually work through the exercises and problems. Simply reading the questions and answers won't help very much!

If you would like to work with both the Skills Assessment Test and some of the topics below, click Skills Assessment Test to open another window. This window with the topics listed should remain open when the new window is brought up. Just toggle between the two as needed.

Note:   Review Topics 3, 4, 5, 7, 8, 9, and 10, listed below in green, cover algebra/trig materials you will encounter in Calculus II that are usually not covered in Calculus I. Sections listed within each review topic in green refer to the current text, ``Calculus, Early Transcendentals,'' by Stewart, 4th edition. These sections of the text will be much easier to understand if you study the material and problems provided in the appropriate review topic first.

    Algebra Portion

  1. Functions
  2. Equivalent Forms of Algebraic Expressions
    1. Long Division
    2. Multiplication by Forms of 1
    3. Completing the Square
  3. Partial Fraction Decomposition and Irreducible Quadratics ,   (Refer to Section 7.4 of text)
  4. Simplifying Radicals,   (Refer to Section 8.1 of text)
  5. Introduction to Series,   (Refer to Chapter 11 of text)

    6. Trigonometry Portion

  6. Area of a Sector of a Circle
  7. Polar Coordinates,   (Refer to Section 10.4 of text)
  8. Polar Graphs,   (Refer to Section 10.4 of text)
  9. Trigonometric Substitutions,   (Refer to Section 7.3 of text)
  10. Parametric Curves,   (Refer to Section 10.1 of text)

    11. Calculus Portion

  11. Limits
    1. Basic Idea of a Limit
    2. Limits of the Form
    3. Limits as x ® ¥ or as x ® - ¥
    4. Summary for Evaluating Limits
  12. Differentiation
    1. Definition and Derivatives of Common Functions
    2. Constant, Sum, and Difference Rules
    3. Product Rule
    4. Quotient Rule
    5. Chain Rule
    6. Implicit Differentiation
    7. Logarithmic Differentiation (includes y = xx)
    8. Tangent Line Problem
  13. Integration
    1. Common Functions
    2. Constant, Sum, and Difference Rules
    3. Substitution
    4. Area Under a Curve
    5. Integration Summary

Course Preparation Materials
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