1 Analytic Geometry2 Instantaneous Rate of Change:3 Rules for Finding Derivatives4 Transcendental Functions5 Curve Sketching6 Applications of the Derivative7 Integration8 Techniques of Integration9 Applications of Integration10 Polar Coordinates,11 Sequences and Series12 Three Dimensions13 Vector Functions14 Partial Differentiation15 Multiple Integration16 Vector Calculus17 Differential Equations19 Introduction to Sage
Whether we are interested in a function as a purely mathematical object or in connection with some application to the real world, it is often useful to know what the graph of the function looks like. We can obtain a good picture of the graph using certain crucial information provided by derivatives of the function and certain limits.