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TI Nspire CX CAS tutorial --- not comprehensive; expect should be similar / identical to TI Nspire CX II CASVectors (i.e. linear algebra / multivariable calculus)Find magnitude and angle of a vector, given it’s componentsex. vector = 3i + 4j; it’s magnitude = 5 & angle ~ 53.1?Ctrl [3,4.] enter163830049529609600781060081915078105Doc Settings & Status 2: Document settings Angle: Degree OK381952519558025050742051040065722610985500160972516700600Menu 7: Matrix & vector C: Vector 4:convert to polar enter ---- express in polar coordinate; i.e. magnitude & angle Vector addition (or subtraction)Ex. a = 3i + 4j or 5, ∠53.1301b = 2i + 2j or 2.82843, ∠ 45use keyboard to enter: [3.,4]+[2,2] enteror use keyboard to enter: [5, ∠53.1301]+[ 2.82843, ∠ 45]to get angle symbol, click on: catalog icon “4: = ∞β?” key to get ∠ enter . . . complete entering info30099006350001381124825500 enterMenu 7: Matrix & vector C: Vector 4:convert to polar enter ---- express in polar coordinate; i.e. magnitude & angleExample of vector subtractionGiven a vector’s magnitude and angle, find its componentsas above, enter vector enter; e.g.Vector multiplication – dot productMenu 7: Matrix & vector C: Vector 3 Dot Product enter vectors enter Calculus Derivative (symbolic)Menu 4: Calculus 1. Derivative use keyboard to enter an expressionex 1. ; use keyboard to enter an expression; ex. 2. Use fraction icon (ctrl then ÷), to get template3181350127001628775127002809875623570 Derivative (numeric)Menu 4: Calculus 2. Derivative at a point fill-in dialog box OK fill-in expression enter (indefinite) Integral (symbolic)Menu 4: Calculus 3. Integral fill-in expression enter ; fill-in expression enter (definite) Integral (numeric)as above, but fill-in the limits of integrationalternatively, add a decimal point in the coefficient“solving” a differential equation; e.g. find N(t), where dNdt= -k N(t)Method 1: set-up appropriate integrals using your knowledge to solve a differential equation, i.e.dNdt= -k N(t)“rearranging”,dNN(t)= -k dt“taking the integral”,dNN(t) = -k dtwhich would lead to the “answer”Nt= No e- k t ------------ equation 1Using the calculator (see preceding instructions in finding the integral)where further “math” would lead to the solution (equation 1).Method 2. Use calculator’s “differential equation solver” Menu 4 Calculus D Differential Equation Solver … 139065028257515240003492581915013398500To access the “prime” symbol, click on the “?!” button, which generates the dialog box on the right – select the “prime” symbol28955991269900 Alternative method – include information to solve for c1 (in the preceding solution)Algebra Solve single variable, single equationTo access “=” symbol7239001397100Ex. 1. Menu 3: Algebra 1. Solve write equation enter ; Ex. 2. Menu 3: Algebra 6. Numerical Solve write equation enterEx. 3. Use fraction iconSolve a system of linear equationsMenu 3: Algebra 7. Solve system of equations 2. Solve System of Linear EquationsFill-in dialog box OKwrite equations enter Solve a system of non-linear equationsAs above, except select: 2 Solve System of Equations … Graphing99060016065500Turn “on” calculator click on Graph enter2619375952500Enter equation … enter To enter another graph: menu 3 Graph Entry / Edit FunctionEnter 2nd function to graph … enter ; To change axles scale: Menu 4 Window / Zoom 1 Window Settings…Fill-in dialog box … OK Unit conversionenter value to be convertedclick on “catalog” icon “3 ?C \ ?F” Conversion Assistant15811507366100241935069860037528505715 select appropriate unit category drop-down menu, then remaining units OK enter4991100590550032099251143000 Clear scratch pad contentdoc B 100012531114005905505969000 Miscellaneous Textbook; pp.221-222 -- elastic collision in 1 dimension Solve / derive eqn 9-67 and 9-68: menu algebra solve system of equationsDerive eqn 9-70: menu calculus limitoops; 2nd answer disagrees with textbook; note: there’s a difference between: “m2 >> m1” versus “m2 ∞”; i.e. don’t blindly depend on the calculator.Caveats: have not extensively explored features, so unaware of limitations. ................
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