New Features in Course 4

General Changes:

• The CPMP-Tools Help menu has been updated to include revised help topics for Courses 1, 2, 3, and 4. Click the button from any open tool window to access the comprehensive help system. Scroll through the A-Z Index or Topics Index to quickly navigate to the desired help content.
  
  

Strand Specific Changes:

Algebra

• In CAS, the default setting is Radian mode. To set the mode to Degree, access the Home tab Options menu. The mode affects the computations within the Home tab as well as the Settings, Graph, and Table tabs. Set the mode before performing computations or defining and selecting trigonometric functions to be plotted.
  
  

• In CAS, new commands are now available!

  Use at or @ to evaluate a command like ln(x+5) at x=2.1.

  Calculus commands are now available including der(, and int( for derivatives and integrals, respectively.

  Combinatorics commands for permutations and combinations are perm( and comb(, respectively.

  Complex number commands real(, imag(, conj(, and complex( will return the real component of a complex number, return the imaginary component of a complex number, return the complex conjugate of a complex number, and create a complex number from an ordered pair of reals (e.g., complex(2,4) returns 2+4i), respectively.

  Define and compute with e for exponential expressions and functions using the exp( command. For natural logarithms, use the ln( command.
  
  

• In CAS, Parametric Functions can be defined and plotted. From the Home or Y= tab, choose the button, then type the desired expression for x(t) followed by a comma then the desired expression for y(t). For example, XY:=12*t*cos(pi/6),12*t*sin(pi/6).
  
  

• 3D graphing is accomplished from within the CAS tool. Implicitly defined curves such as x^2+y^2+z^2=4 can be entered in the Y= tab of the CAS then plotted in the Graph tab. From the Graph tab, use the buttons to view cross sections of a 3D object. Click for an x-slice or the y-z plane, for a y-slice or the x-z plane, or for a z-slice or the x-y plane. Access the Settings tab to modify the view of the 3D plot.
  
  

• In Spreadsheet, a user-defined contour map data can be entered and graphed using the Contour / 3D Plot option accessible from the Tools menu under Graphs. Click here for the help page on how to use this custom tool.
  
  

• In Spreadsheet, CAS, and Data Analysis, regression analysis can be performed with bivariate data. In so doing, a regression equation gets stored. It can be retrieved in the Home tab of CAS for further use by entering regeq(1). Upon pressing Enter, the actual regression equation is displayed; this equation can now be used elsewhere by clicking it and hitting Enter to bring it down into the Command window. At this point, press Enter again to make the equation available in the Y= tab of CAS or copy it to the clipboard for use in other areas of CPMP-Tools. Alternatively, in the Y= tab, enter y=regeq(x) to retrieve the regression equation for graphing.
  
  

Geometry

• Vector Geometry: New vector tools are available from within both Vector Geometry and Coordinate Geometry Interactive Geometry environments. Use the buttons on the toolbar to Draw Vectors () and to Add Vectors (). Several options are available to customize the way vectors are drawn and viewed on the screen. Use the Options menu to: Draw Component Vectors and Hide Magnitude and Direction (these values are always shown by default).

  Help Tip: To change the number of digits that are displayed on the graph for magnitude and direction of a vector, first select the vector then choose Change Style of Selected in the Edit menu. Use the drop down menu to change the number of digits. Alternatively, type digits 1 (and press Enter) in the Command Window of the geometry screen to display 1 digit, for example. All subsequent measurements will display one digit.
  
  

• Custom tools specifically designed for Course 4 are now featured. These tools are useful for exploring various geometric properties in vector and coordinate environments. New Custom Tools include: Stone Harbor, Double Ferris Wheel, Double Ferris Wheel 2, Contour, Slicing a Double Cone, and Surface of Revolution.
  
  

• Select custom tools highlight the 3D functionality available in Course 4: Contour, Slicing a Double Cone, and Surface of Revolution. Additionally, 3D graphing is accomplished from within the CAS tool of the Algebra strand.
  
  

• For the Modeling custom tool and Scatterplot window (), a Polynomial model type is now available. Also, a Residual Plot and Regression Analysis frame are available upon clicking the button or choosing Analysis in the Models menu.
  
  

• New Data for Unit 5, Exponential Functions, Logarithms, and Data Modeling, and Unit 6, Surfaces and Cross Sections, are available.

  Help Tip 1: If using pre-entered data with the goal of finding residuals or transforming data, select Enable from the Edit menu.
  
  

  Help Tip 2: To transform a column of data, type the desired formula into the top of an empty column and use the Fill Down feature of the Edit menu or the button, or use the Column Formula option with an empty column cell selected. For example, with data entered in column A and column B empty, click on cell B1 and type =log(A1). Highlight that cell and Shift+click on those below it to select the desired cells, then click .