Louisiana State University



Math 1550 Topics

|Sec # |Section Title |Topics / Examples Omitted |

| | |from the MML Exercise List |

|2.1 |The Idea of Limits |None |

|2.2 |Definitions of Limits |None |

|2.3 |Techniques for Computing Limits |Example 7 (slope of a tangent line) |

|2.4 |Infinite Limits |None |

|2.5 |Limits at Infinity |Examples 4 (slant asymptote) and 5 (two vertical asymptotes) |

|2.6 |Continuity |Examples 4 (limit of composite function) and 9b (graphing utility |

| | |required) |

|3.1 |Introducing the Derivative |None |

|3.2 |Working with Derivatives |None |

|3.3 |Rules of Differentiation |Derivatives of the Natural Exponential Function (moved to section |

| | |3.9b) |

|3.4 |The Product and Quotient Rules |The Derivative of e^(kx) and all examples involving the natural |

| | |exponential function (moved to section 3.9b) |

|3.5 |Derivatives of Trigonometric Functions |Example 2a (contains e^(kx) function) |

|3.6 |Derivatives as a Rate of Change |Economics and Business |

|3.7 |The Chain Rule |Example 6 (contains e^(kx) function) |

|3.8 |Implicit Differentiation |None |

| | |Note: 3.8 has been moved to after 3.10 |

|3.9 |Derivatives of Exponential and Logarithmic Functions |None |

| | |Note: 3.9 has been split into 3 sections and includes exercises |

| | |that were omitted from previous sections. |

|3.10 |Derivatives of Inverse Trig Functions |Example 2b (inverse secant), |

|3.11 |Related Rates |None |

|4.1 |Maxima and Minima |None |

|4.2 |What Derivatives Tell Us |None |

| | |Note: 4.2 has been split into 2 sections. |

|4.3 |Graphing Functions |Calculators and Analysis |

|4.4 |Optimization Problems |None |

|4.5 |Linear Approximations and Differentials |None |

|4.6 |Mean Value Theorem |None |

|4.7 |L’Hopital’s Rule |None |

|4.9 |Antiderivatives |Examples 3bc, 4, 5bc, and 6 (composite functions – moved to |

| | |section 5.5) |

|5.1 |Approximating Area Under Curves |None |

|5.2 |Definite Integrals |None |

|5.3 |Fundamental Theorem of Calculus |None |

|5.4 |Working with Integrals |None |

|5.5 |Substitution Rule |None |

| | |Note: 5.5 has been split into 2 sections and includes exercises |

| | |that were omitted from previous sections. |

|6.1 |Velocity and Net Change |None |

|6.2 |Regions Between Curves |None |

|6.3 |Volumes by Slicing |None |

|6.4 |Volume by Shells |None |

|6.5 |Length of Curves |Example 4b (graphing utility required), Arc Length for x = g(y) |

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