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Math Help - How many courses does my book cover?

  1. #1
    Junior Member ReneG's Avatar
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    How many courses does my book cover?

    I've bought a calculus (doesn't specify calc I, II, or II) book and these are the chapters

    • Slope of the Tangent Line
    • Calculating Derivatives
    • Finding Maximum and Minimum Points
    • Derivatives of Complicated Functions Derivatives of Trigonometric Functions
    • Optimum Values and Related Rates
    • The Integral: A Backward Derivative
    • Finding Areas with Integrals
    • Natural Logarithms
    • Exponential Functions and Integration by parts
    • Integration by Trigonometric Substitution
    • Arc Lengths, Surface Areas, and the Center of Mass
    • Introduction to Differential Equations
    • Partial Derivatives and Vectors
    • Numerical Methods, Taylor Series, and Limits


    College-wise are all of these techniques taught in Calculus I? Or do these subjects span over all of Calculus. I'm having a hard time distinguishing a barrier between all of these subjects.
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  2. #2
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    Re: How many courses does my book cover?

    Quote Originally Posted by ReneG View Post
    I've bought a calculus (doesn't specify calc I, II, or II) book and these are the chapters
    • Slope of the Tangent Line
    • Calculating Derivatives
    • Finding Maximum and Minimum Points
    • Derivatives of Complicated Functions Derivatives of Trigonometric Functions
    • Optimum Values and Related Rates
    • The Integral: A Backward Derivative
    • Finding Areas with Integrals
    • Natural Logarithms
    • Exponential Functions and Integration by parts
    • Integration by Trigonometric Substitution
    • Arc Lengths, Surface Areas, and the Center of Mass
    • Introduction to Differential Equations
    • Partial Derivatives and Vectors
    • Numerical Methods, Taylor Series, and Limits


    College-wise are all of these techniques taught in Calculus I? Or do these subjects span over all of Calculus. I'm having a hard time distinguishing a barrier between all of these subjects.
    Frankly, from that list, especially the section titles, I would say not.

    It would be far better to give the title & author or the text. There are several with a good bit of experience with calculus textbooks.
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  3. #3
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    Re: How many courses does my book cover?

    My calc 1 class went from the top of the list to Natural Logarithms

    Everything below that is calc 2 and possibly 3
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  4. #4
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    Re: How many courses does my book cover?

    Calc 1, 2, and 3 have different meanings depending on whether we're talking about semesters or quarters.

    Your book is missing infinite sequences and series, which is typically a big part of second-semester calculus. But you do have integration by parts and trig substitution - another big part of second semester calculus. So you probably have more than a semester, but less than a year at my university.

    Most universities have their course catalog online, so you can check there to get an idea of the topics covered. Some are more descriptive than others. Many professors put their lecture notes on the internet, so you can check those out for details.

    - Hollywood
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