User manual CASIO SL-315TE

[. . . ] The alternate function is indicated by the text printed above the key. Alternate function sin­1{D} Keycap function s · The following shows what the different colors of the alternate function key text mean. If key marking text is this color: Yellow Red Purple (or enclosed in purple brackets) Green (or enclosed in green brackets) It means this: Press 1 and then the key to access the applicable function. Press S and then the key to input the applicable variable, constant, or symbol. Enter the CMPLX Mode to access the function. [. . . ] Example: (0. 5X2 ­ 2, ­2, 2) = ­5. 333333333 · A "Time Out" error occurs when an integration calculation ends without the ending condition being fulfilled. · When performing an integration calculation involving trigonometric functions, specify Rad as the calculator's default angle unit. · Integration calculations can take considerable time to complete. · A smaller tol value provides better precision, but it also causes the calculation to take more time. Specify a tol value that is 1 × 10­14 or greater. · You cannot input a tol value when using Math format. · There may be large error in obtained integration values and errors may occur due to the type of function being integrated, the presence of positive and negative values in the integration interval, or the interval. · Pressing A will interrupt an ongoing integration calculation. E-34 Tips on Improving Integration Value Accuracy · When a periodic function or integration interval results in positive and negative f(x) function values Perform separate integrations for each cycle, or for the positive part and the negative part, and then combine the results. S Positive S Negative b a f(x)dx = c a f(x)dx + (­ b c f(x)dx) Positive Part (S Positive) Negative Part (S Negative) · When integration values fluctuate widely due to minute shifts in the integration interval Divide the integration interval into multiple parts (in a way that breaks areas of wide fluctuation into small parts), perform integration on each part, and then combine the results. b a f(x)dx = x1 a f(x)dx + x2 x1 f(x)dx + . . . . . + b x4 f(x)dx Appendix <#031> (ln(x), 1, e) = 1 1 ­7 = 0. 8 <#032> 2 , 1, 5, 1×10 (tol specification omitted. ) (x ) E-35 k Differential Calculations Your calculator performs differential calculations by approximating the derivative based on centered difference approximation. d/dx( f(x), a, tol ) f(x): Function of X (All non-X variables are treated as constants. ) a: Input a value to specify the point for which the derivative should be obtained (differential point) tol: Tolerance range (input/output format: Linear) · You can omit specification of the tolerance range. A default value of 1 × 10­10 is used when you do. · (, d/dx(, Pol(, Rec(, and ( cannot be used within f(x), a, or tol. = 40320 Absolute Value Calculation (Abs) When you are performing a real number calculation, this function simply obtains the absolute value. Appendix <#039> Abs (2 ­ 7) = 5 Random Number (Ran#) This function generates a 3-digit pseudo random number that is less than 1. Appendix <#040> Generate three 3-digit random numbers. The random 3 digit decimal values are converted to 3-digit integer values by multiplying by 1000. Note that the values shown here are examples only. Values actually generated by your calculator will be different. Permutation (nPr) and Combination (nCr) These functions make it possible to perform permutation and combination calculations. n and r must be integers in the range of 0 < r < n < 1 × 1010. Appendix <#041> How many four-person permutations and combinations are possible for a group of 10 people? E-38 Rounding Function (Rnd) This function rounds the value or the result of the expression in the function's argument to the number of significant digits specified by the number of display digits setting. Display Digits Setting: Norm1 or Norm2 The mantissa is rounded to 10 digits. Display Digits Setting: Fix or Sci The value is rounded to the specified number of digits. Example: 200 ÷ 7 × 14 = 400 LINE 200/7*14= (Specifies three decimal places. ) 1N6(Fix)3 FIX (Calculation is performed internally using 15 digits. ) FIX 200/7= FIX *14= The following performs the same calculation with rounding. FIX 200/7= (Round the value to the specified number of digits. ) FIX 10(Rnd)= (Check rounded result. ) FIX *14= E-39 k Practical Examples Appendix <#042> 0(sinX + cosX ) dX = 2 (tol: Not specified) <#043> Confirm that the two sides of the following equation are equal: e= 1 n=0 n! Transforming Displayed Values You can use the procedures in this section to transform a displayed value to engineering notation, or to transform between standard form and decimal form. k Using Engineering Notation A simple key operation transforms a displayed value to engineering notation. [. . . ] · Check the dimensions specified for the matrices or vectors to see if they are compatible with the calculation. Variable ERROR (SOLVE feature only) · Cause · You did not specify a solution variable, and there is no X variable in the equation you input. · The solution variable that you specified is not included in the equation you input. · Action · The equation you input must include an X variable when you do not specify the solution variable. · Specify a variable that is included in the equation you input as the solution variable. Can't Solve Error (SOLVE feature only) · Cause · The calculator could not obtain a solution. [. . . ]