The OU Calculus I Problem Archive
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|Dept. of Mathematics, Oklahoma University (OU)|
|Sample problems, with hints, answers, and "the grisly details": 1. Functions, calculus style; Graphs; Machine graphics; What is a function?; A field guide to elementary functions. 2. Amount functions and rate functions; The geometry of derivatives; The geometry of higher order derivatives; Average and instantaneous rates; Limits and continuity; Limits involving infinity; Power functions, polynomials and their derivatives; Derivatives of exponential and logarithmic functions; Derivatives of trigonometric functions. 3. Composition of functions; Operations with constants and derivatives; The product and quotient rule; The Chain Rule; Implicit Differentiation; Inverse Trigonometric Functions; Why continuity matters; Why differentiability matters; Optimization and the derivative; 4. Differential equations; Taylor polynomials; Newton's method.|
|Math Topics:||Calculus (Single Variable)|
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