RPN Mode Tutorial: Advanced Functions HD

RPN Mode Tutorial: Advanced Functions The HP Prime RPN Basics video can be found here: http://youtu.be/_eHXyGm9sEE Time Markers: MAX and MIN - about 45.28 seconds Factorizing Integers - about 1:59 Generate a Sequence - about 2:40 Finding roots of a polynomial (proot) - about 3:45 Summation - about 4:57 Numeric Integration - about 5:48 Numeric Derivatives - about 6:50 Determinant, Inverse, Eigenvalues - about 8:25 Solving using FNROOT - about 10:14 Description: Syntax - RPN Mode: ----- MAX and MIN Path: Toolbox, Math, 2, 1 for MAX (2 for MIN) Syntax: 1: list or vector MAX(1) or MIN(1) - or - Numbers on the stack MAX(n) or MIN(n) (n is 9 or less) ----- Factorizing Integers – CAS.ifactor 1. Enter the integer to be factorized, press the Enter key. 2. Press Toolbox, CAS, 5, 2, 1 to execute CAS.ifactor(1) ----- Generating a Sequence - MAKELIST Path: Toolbox, Math, 6, 1 Stack: 5: ‘function in single quotes’ 4: ‘variable in single quotes’ 3: beginning point 2: ending point 1: increment/decrement MAKELIST(5) ----- Finding the Roots of a Polynomial - CAS. proot Path: Toolbox, CAS, 6, 1 Stack: 1: vector or list of coefficients (decreasing power of x) CAS.proot(1) ----- Summation – CAS.sum Path: Toolbox, Math, 2, 5 Stack: 4: ‘function in single quotes’ 3: ‘variable’ 2: starting point 1: finishing point CAS.sum(4) ----- Numerical Integration 1. Press the Template Key, choose ∫ (2nd row, 4th column) 2. Fill in the template – use capital letters for the variable 3. Press the Enter Key 4. Finally, press Toolbox, CAS, 1, 1 to execute CAS.simplify(1) ----- Numerical Derivative 1. Store value in the variable: Number, Enter Key, Variable in single Quotes, Shift Key, EEX Key 2. Press the Template Key (c), choose ∂ (1st row, 4th column). Fill in the template – use capital letters for the variable, and press the Enter Key 3. Finally, press Toolbox, CAS, 1, 1 to execute CAS.simplify(1) ----- Matrix Operations Put the matrix on the stack. Use the Template Key, choose matrix (1st row, 6th column). Determinant: Press Toolbox, Math, 7, 2. Determinant is calculated automatically. Inverse: Press Shift, then the division key. (x^-1). This works for square matrices only. Eigenvalues: Press Toolbox, Math, 7, 6, 1. CAS.EIGENVAL is called. Execute CAS.EIGENVAL(1). ----- Finding Numerical Roots using FNROOT Path: Toolbox, Math, 2, 4 Stack: 3: ‘function in single quotes’ 2: ‘variable’ 1: guess Execute FNROOT(3) Format: function = 0 -----