MVC Matlab Assignments _(F23_) (1)

Multivariable Calculus Matlab Assignments Fall, 2023 Matlab Assignment 0: Complete the Matlab 3D Graphing assignment given out in class. Matlab 0 is due at the end of class on Thursday, 8/31/23 . Matlab Assignment 1: Problem 1.1 (13.5 #31), Problem 1.2 (13.5 #57) • The code used to solve the problems should include as little manual input as possible. • The graph for Problem 1.1 must include both lines and the intersection point. • The graph for Problem 1.2 must include the point, the line, and the plane. (Hint: It will probably be easier to have Matlab solve the plane equation for z , rather than attempting to make it in standard form.) • First draft of Matlab 1 is due at the end of class on Thursday, 9/7/23 . • Final draft of Matlab 1 is due at the end of class on Tuesday, 10/3/23 . • We will do Matlab 1.1 in class together. • Helpful hint for Matlab 1.2: I used the following commands to write my code for Matlab 1.2. You do not have to use all of these – they are merely suggestions based on my work. o syms, subs( ), cross( ), solve( ), dot( ) Matlab Assignment 2: Problem 2.1 (14.2 #81), Problem 2.2 (Supp 2.5 #1a) • The code used to solve the problems should include as little manual input as possible. • The graph for Problem 2.1 must include the space curve, the point of tangency, and the tangent line. • The graph for Problem 2.2 must include the curve, the point of tangency, the osculating plane, and the normal plane. • First draft of Matlab 2 is due at the end of class on Thursday, 10/5/23 . • Final draft of Matlab 2 is due at the end of class on Thursday, 10/26/23 . • Here are some helpful Matlab commands and tips for you to check out: o sqrt( ), diff( ), int( ), abs( ), norm( ) o The command sym(pi) will make Matlab spit out an exact value for pi (a “symbol” for pi), rather tha n making a decimal approx. each time. This is good for “problem - solving code” but not so good for “graphing code”. Just use pi when graphing – Matlab needs a decimal approx. of pi to generate plotting points. Matlab Assignment 3: Problem 3.1 (15.4 #20); Problem 3.2 (15.5 #30); Problem 3.3 (15.5 #33b) • The code used to solve the problems should include as little manual input as possible. • There are no graphs required for these problems. • First draft of Matlab 3 is due at the end of class on Thursday, 10/26/23 . • Final draft of Matlab 3 is due at the end of class on Thursday, 11/9/23 . Matlab Assignment 4: Problem 4.1 (15.6 #36); Problem 4.2 (Supp 4.3 #2(b)) • The code used to solve the problems should include as little manual input as possible. • The output for Problem 4.1 should include both parts of the problem: (a) the linear approximation of f (tangent plane) and (b) the estimated function value. • The graphs for both Problems 4.1 and 4.2 must include the surface, the point of tangency, and the tangent plane. Use a solid ‘facecolor’ to distinguish the tange nt plane from the surface. • First draft of Matlab 4 is due at the end of class on Thursday, 11/2/23 . • Final draft of Matlab 4 is due on Thursday, 11/16/23 .