HP 15c - Manual (Page 4)

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Contents
Contents ...............................................................................................................4
Introduction .........................................................................................................7
Section 1: Using _ Effectively ..................................................................9
Finding Roots .........................................................................................................................9
How _ Samples ............................................................................................................9
Handling Troublesome Situations ........................................................................................11
Easy Versus Hard Equations .............................................................................................11
Inaccurate Equations .........................................................................................................12
Equations With Several Roots ..........................................................................................12
Using _ With Polynomials .........................................................................................12
Solving a System of Equations .............................................................................................16
Finding Local Extremes of a Function .................................................................................18
Using the Derivative .........................................................................................................18
Using an Approximate Slope ............................................................................................20
Using Repeated Estimation ...............................................................................................22
Applications ..........................................................................................................................24
Annuities and Compound Amounts ..................................................................................24
Discounted Cash Flow Analysis .......................................................................................34
Section 2: Working with f .......................................................................... 40
Numerical Integration Using f ........................................................................................40
Accuracy of the Function to be Integrated ...........................................................................41
Functions Related to Physical Situations ..........................................................................42
Round-Off Error in Internal Calculations .........................................................................42
Shortening Calculation Time ................................................................................................43
Subdividing the Interval of Integration .............................................................................43
Transformation of Variables .............................................................................................47
Evaluating Difficult Integrals ...............................................................................................48
Application ...........................................................................................................................51
Section 3: Calculating in Complex Mode ...................................................... 56
Using Complex Mode ...........................................................................................................56
Trigonometric Modes ...........................................................................................................58
Definitions of Math Functions ..............................................................................................59
Arithmetic Operations .......................................................................................................59
Single Valued Functions ...................................................................................................59
Multivalued Functions ......................................................................................................59
Using _ and f in Complex Mode ..........................................................................63
Accuracy in Complex Mode .................................................................................................63