Re: [Maxima-discuss] wxMaxima for single variable calculus labs

[Gunter K. <gu...@pe...>]

I think we can be proud of having this kind of material for promoting maxima: I really like your books and "new version" send to indicate that they are successful.

And I wanted to announce: if the user assigns an label to an equation the current development version of wxMaxima by default displays this label instead of the label maxima automatically generates.
Don't know if this is important enough to be included in future versions of the books.

Kind regards,

   Gunter.

Am 17. September 2015 23:48:14 MESZ, schrieb Edwin Woollett <woo...@ch...>:
>
>
>The new paperbacks (and pdf files) with the
>titles "wxMaxima for Calculus I" and "II", by Zachary Hannan, available
>at
>
>https://wxmaximafor.wordpress.com/
>
>provide an excellent introduction to the use of Maxima,
>using wxMaxima as the interface, and are filled with clear and
>interesting examples of how Maxima can help understand the
>comcepts of calculus. Theory is complemented with symbolic
>and numerical examples, and very instructive plots are produced,
>mainly with wxdraw2d.
>
>New users of Maxima should be encouraged to take advantage
>of this fine pedagogical material as a quick way to exploit the
>power of Maxima.
>
>
>===================================
>wxMaxima for Calculus I
>Zachary Hannan
>---------------------------------
>Module 0: 
>Introduction to wxMaxima
>
>Arithmetic, algebra, trigonometry, expressions, functions, 2D
>and 3D plots, defining and solving equations, sequences and
>sums are used to introduce the Maxima commands:
>
>expand, factor, find_root, float, for-do, fullratsimp, kill, lhs,
>makelist, print, ratsimp, rhs, simpsum, solve, sublis, subst, sum,
>trigexpand, trigreduce, trigsimp, 
>
>and draw package functions and methods:
>dimensions, explicit, implicit, parametric, wxdraw2d, wxdraw3d.
>
>11 end of module 0 exercises at end.
>---------------------------------
>Module 1
>Function Review
>
>new Maxima functions: limit, num, denom
>
>Examples of polynomial, rational, trigonometric, exponential functions
>with many plots. Function transformations, parity of a function,
>function
>combinations, function compositions, function inverses.
>18 end of module exercises.
>--------------------------------------
>Module 2
>Using Sequences to Approximate Limits
>
>Numerical do-loop produced tables complement function plots. Use of
>the limit command using inf, minf, minus, plus. 12 end of module
>exercises.
>--------------------------------------
>Module 3
>Introduction to Derivatives
>
>New Maxima functions introduced: diff, ev, depends, exponentialize, 
>the quote-quote operator '' (two single quotes).
>
>The tangent line as a limit, the limit definition of a derivative,
>derivative of function combinations, the chain rule for derivatives
>of function compositions, logarithmic and implicit differentiation.
>14 end of module exercises.
>---------------------------------------
>Module 4
>Applications of Derivatives
>
>New commands: declare, rectangle, polygon
>
>Analytical and graphical local extrema, inflection points, concavity,
>optimization with constraints, Newton's method for roots.  
>11 end of module exercises.
>--------------------------------------
>Module 5
>The Area Problem
>
>New commands: ratprint, integrate, filled_func, quad_qag.
>
>Approximating area with different types of Riemann sums, definite
>integral definition,
>symbolic and numerical examples, use of integrate and quad_qag,
>comparison of approximating area by rectangles and trapezoids.
>10 end of module exercises.
>----------------------------------------
>Module 6
>Antiderivatives and the Fundamental Theorem
>
>Examples of antiderivatives, the fundamental theorem, using integrate
>for the indefinite integral, changing the variable of integration, 
>area integrals, average value of a function.
>13 end of module exercises.
>=======================================
>======================================
>wxMaxima for Calculus II
>Zachary Hannan
>------------------------
>Module 0: 
>Introduction to wxMaxima.
>
>The same introduction to entering expressions into wxMaxima and using
>wxdraw2d and wxdraw3d as in Module 0 in "wxMaxima for Calculus I" (see
>above).
>Includes end of module exercises.
>-------------------------------------
>Module 1:
>Classical Integration Techniques.
>
>The first part of Module 1 serves as a review of the introduction to
>integration given
>in Module 6 of (I). The use of 'integrate' is motivated by the
>calculation of area
>in a plane, and wxdraw2d is used to make plots which use 'filled_func'.
>
>The "anti-derivative" concept, the fundamental theorem of calculus, and
>change of integration variable are reviewed.
>
>New concepts include integration by parts, and partial fractions
>decomposition examples which are worked out manually using
>'solve' and 'subst', and also 'partfrac' is used.
>
>The final section contains examples of improper integrals which
>are worked out in detail.
>18 end of module exercises.
>--------------------------------------
>Module 2
>Numerical Integration Techniques
>
>Theory and examples of numerical approximation of integrals using
>midpoint Riemann sums, trapezoidal sums, and the basic ideas of
>Simpson's method, many examples of using 'sum', 
>The use of Maxima's 'quad_qag' function, examples of simple Monte
>Carlo integration using 'random'.   10 end of module excercises.
>--------------------------------------
>Module 3
>Geometric Applications of Integration
>
>Theory, numerical approximations, extensive use of both wxdraw2d
>and wxdraw3d, dealing with area bounded between two functions, 
>solids of revolution, arc length, surface area of revolution.
>18 end of module exercises.
>------------------------------------------
>Module 4
>Ordinary Differential Equations
>
>Theory and examples of separable equations. 
>Maxima's 'ode2', 'ic1', 'ic2', and 'bc2' functions,
>direction field plots using 'wxdrawdf',
>Euler's method for 1st order ode's.
>18 end of module exercises.
>
>Module 5
>Parametric and Polar Curves
>
>Tangent line at a point and arc length of parametric curves, tangent
>lines
>and area in polar coordinates, arc length of a polar curve.
>Use of 'parametric' and 'polar' in wxdraw2d.
>Includes example of using 'find_root'.
>19 end of module exercises, including three animations.
>
>Module 6
>Infinite Sequences and Infinite Series
>
>Includes examples of the use of 'limit, 'sum', 'simpsum', 'taylor', and
>'foursin'
>from the fourie package, as well as the use of 'rectangle' in wxdraw2d.
>
>Use of both plots and 'limit' to investigate the limit of a sequence
>{a_n}.
>Use of wxdraw2d to plot both a_n and partial sums S_n on the same plot.
>The classical convergence tests for infinite series.
>The Taylor and Fourier sine series approximations.
>21 end of module exercises, including two animations.
>-----------------------------------
>
>Ted Woollett
>http://www.csulb.edu/~woollett
>Maxima by Example
>Computational Physics with Maxima or R
>
>
>
>=================================================================================
>
>From: Zack Hannan 
>Sent: Saturday, August 22, 2015 6:41 PM
>To: max...@li... 
>Subject: [Maxima-discuss] wxMaxima for single variable calculus labs
>
>For those of you who teach first-year calculus and for students of
>calculus, I wanted to post a link to the wxMaxima texts I wrote for
>single variable calculus while on sabbatical this Spring: 
>http://wxmaximafor.wordpress.com/ .  These works are published under a
>CC-BY-NC-SA license, and the .pdfs are free. In other words, these are
>“open-texts”. Combined with the open-source software, it is possible to
>run calculus labs without placing any additional financial burden on
>the students or the institution. The books can also be used as an
>introduction to wxMaxima for those who prefer to learn by example (I
>count myself among their numbers).
>
>I finally joined this mailing list after many months of trolling
>through the archives, and I want to thank everyone for the helpful tips
>that often got me around the roadblocks as I wrote these books.  I look
>forward to being a more active member of the community here -- these
>books are starting to take on a life of their own, and I'll most likely
>be steeped in Maxima for many years to come.
>
>Thanks for everything!
>
>Zak Hannan
>Instructor of Math and Physics
>Solano Community College, Fairfield, CA
>
>
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