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Expressions and Functions (0.1&2) |
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1 | (3) |
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Arithmetic operations; entering and evaluating expressions and functions |
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3 | (2) |
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Graphing functions; specifying the viewing window; graphing two functions together |
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5 | (2) |
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Algebraic and numerical equation solving; other algebraic operations |
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Trigonometry and Exponentials (0.5&6) |
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7 | (2) |
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Trigonometric, exponential and logarithmic functions; the constants e and π |
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9 | (2) |
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Finding two-and one-sided limits of functions of one variable |
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11 | (2) |
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Limits involving infinity |
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13 | (2) |
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Loss of significance errors; scientific notation |
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Derivatives of Explicit Functions (2.1-7) |
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15 | (2) |
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Finding first derivatives by definition; finding derivatives symbolically |
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Implicit Differentiation (2.8) |
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17 | (2) |
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Plotting and finding derivatives for implicity-defined curves |
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19 | (2) |
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Applying Newton's method; dependence of Newton's method upon starting point |
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21 | (2) |
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Curve sketching; using derivative plots to find critical points |
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Integration and Riemann Sums (4.1-4) |
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23 | (2) |
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Indefinite and definite integrals; evaluating Riemann sums |
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Numerical Integration (4.7) |
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25 | (2) |
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Midpoint, Trapezoid and Simpson's Rules; numerical integration |
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Solids of Revolution (5.1-4) |
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27 | (2) |
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Drawing and experimenting with solids of revolution; volume and surface area |
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29 | (2) |
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Random trials and histograms |
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Separable Differential Equations (6.5) |
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31 | (2) |
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Solving separable differential equations; graphing particular and general solutions |
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33 | (2) |
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Direction fields; applying and graphing Euler's method |
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Integration Techniques (7.1-5) |
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35 | (2) |
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Finding antiderivatives; checking answers; exceptional situations |
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37 | (2) |
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Discontinuous integrands; infinite limits of integration |
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39 | (2) |
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Series of constants; finding and graphing Taylor series |
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41 | (2) |
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Finding and graphing Fourier series; the Gibbs phenomenon |
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Parametric Equations (9.1-3) |
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43 | (2) |
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Graphing parametric curves; calculus with parametric equations |
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Polar Coordinates (9.4-7) |
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45 | (2) |
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Graphing in polar coordinates; calculus with polar coordinates |
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47 | (2) |
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Vectors in two and three dimensions; vector operations and graphing vectors |
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Vector-Valued Functions, Part I (11.1-3) |
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49 | (2) |
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Graphing vector-valued functions in the plane; derivatives and reparameterization |
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Vector-Valued Functions, Part II (11.1-4) |
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51 | (2) |
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Arc length and curvature; vector-valued functions in space |
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Functions of Two Variables (12.1-2) |
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53 | (2) |
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Graphing functions of two variables; contour and density plots; limits |
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Partial Derivatives (12.3-7) |
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55 | (2) |
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Functions of three variables; finding partial derivatives; gradients and local extrema |
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Double Integrals (13.1-3) |
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57 | (2) |
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Evaluating double integrals; Riemann sums; polar coordinates |
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Triple Integrals (13.4-7) |
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59 | (2) |
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Surface area; evaluating triple integrals; cylindrical and spherical coordinates |
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Vector Fields in the Plane (14.1-4) |
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61 | (2) |
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Plotting plane vector fields and flow lines; gradient fields;Green's Theorem |
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Vector Fields in Space (14.6-8) |
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63 | (2) |
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Parametrically-defined surfaces; space vector fields; flux integrals, divergence and curl; Stoke's Theorem |
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| Index of Maple V Commands and Options |
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65 | |
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Page of First Use and Pages For Additional Information |
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Other versions by this Author
