King Fahd University of Petroleum and Minerals
Department of Mathematics & Statistics
Math 101 – term 131
Sec. slides PowerPoint |
Topics |
Lecture 1 | Lecture 1 |
Rates of Change and Tangents to Curves |
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Limit of a Function and Limit Laws |
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The Precise Definition of a Limit (Up to the end of Example 4) |
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One-Sided Limits |
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Continuity |
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Limits Involving infinity; Asymptotes of Graphs |
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ch2 | Chapter 2 Problems |
Tangents and the Derivative at a point |
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The Derivative as a function |
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Differentiation Rules |
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The Derivative as a Rate of Change |
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Derivatives of Trigonometric Functions |
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The Chain Rule |
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Implicit Differentiation |
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ch3 | Chapter 3 Problems |
Derivatives of Inverse Functions and Logarithms |
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Inverse Trigonometric Functions |
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Related Rates |
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Linearization and Differentials |
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Extreme Values of Functions |
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The Mean Value Theorem |
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Monotonic Functions and the first Derivative Test |
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Concavity and Curve Sketching |
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Indeterminate Forms and L’ Hospital’s Rule |
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Applied Optimization |
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Newton’s Method |
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Antiderivatives |
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Area and Estimating With Finite Sum |
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Sigma Notation and Limits of Finite Sums |
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ch4+ch5 | Chapter 4&5 Problems |
stat | stat on webct |
revision | Revision |
files not considered