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Revision as of 01:11, 20 December 2010 by Pearson (→Parametric Equations and Vector Parametric Equations)
- 1 Complete Problem Authoring Templates by Subject Area
- 1.1 Miscellaneous Templates
- 1.2 Algebra
- 1.3 Trigonometry
- 1.4 Precalculus
- 1.5 Differential Calculus
- 1.6 Integral Calculus
- 1.7 Sequences and Series
- 1.8 Parametric Equations and Vector Parametric Equations
- 1.9 Multivariable Differential Calculus
- 1.10 Multivariable Integral Calculus
- 1.11 Vector Calculus
- 1.12 Differential Equations
- 1.13 Linear Algebra
- 1.14 Complex Analysis
- 1.15 Miscellaneous Topics
- 1.16 Links to Documentation
Complete Problem Authoring Templates by Subject Area
- Answer is a number or a function. The most commonly used template file.
- Answer is a function with domain issues. We show how to set the domain and test points for evaluation and give customized answer hints. (Uses answerHints.pl)
- A multiple choice question with radio buttons. There is only one correct answer and all choices are shown.
- A multiple choice question with a popup menu. There is only one correct answer and the choices are hidden until the menu is clicked on.
- A multiple choice question with checkboxes. There is possibly more than one correct answer and all choices are shown.
- A list of many multiple choice questions with popup menus. For several multiple choice questions that share common answers. (Uses PGgraders.pl)
- A matching question with popup menus. A matching question in two-column format. (Uses unionTables.pl and PGgraders.pl)
- Answer is a fraction (rational number). This question requires students to simplify their answer. (Uses contextFraction.pl)
- Answer is an algebraic fraction. Uses two answer blanks for the fraction and requires students simplify their answer. (Uses parserMultiAnswer.pl)
- Answer blank in the exponent. For questions about simplifying exponents.
- Answer is a an equation that defines a function. The answer is an equation of the form y = f(x). (Uses parserAssignment.pl)
- Answer is an equation that implicitly defines a function. An equation for a circle. (Uses parserImplicitEquation.pl)
- Answer is any solution to an equation. Checks whether the student answer is a solution to an equation. (Uses parserSolutionFor.pl)
- Answer is an inequality. Standard solve an inequality question. (Uses contextInequalities.pl)
- Answer is a fully expanded and simplified polynomial. Multiplying two linear terms together and collecting like terms. (Uses contextLimitedPolynomial.pl)
- Answer is a factored polynomial. Standard factoring a quadratic question. (Uses contextPolynomialFactors.pl and contextLimitedPowers.pl)
- Answers can be entered into several answer blanks in any order. Factoring using separate answer blanks and the unordered answer checker. (Uses unorderedAnswer.pl)
- Answer must be simplified using laws of logarithms. Typical laws of logarithms question that disables certain operations so students must simplify their answer.
- Answers that are periodic. The student answer is evaluated modulo the period.
- Disabling functions so students must simplify answers. Unit circle trig question requiring students enter fractional answers. (Uses contextFraction.pl)
- Trig functions in degrees. Trig functions are redefined to be in degrees.
- Requiring trig identities be used. Cleverly redefining functions so that students must apply trig identities.
- Proving trig identities 1. A multi-part question that walks students through proving a trig identity. All parts are revealed sequentially and shown on the same page.
- Proving trig identities 2. The same multi-part question, but with each part shown on its own page. (Uses compoundProblem.pl)
- Domain and range of a function. Requires students to enter answers as inequalities using correct variables. (Uses contextInequalities.pl)
- Dynamically generated graph. A dynamically generated graph placed side-by-side with text. (Uses PGgraphmacros.pl and unionTables.pl)
- Function decomposition. Write a given function as a composition of two non-identity functions. (Uses answerComposition.pl)
- Scaling and translating functions. Adding a named function to the context for a scaling and translating question. (Uses parserFunction.pl)
- Table of values for a function. Fill in a table of values for a function.
- Answer could be a string, or a number, or a function, etc. For when a single answer could be a string or one of several other data types.
- Answer is a function up to multiplication. Answer is any quadratic with the specified roots. Uses a custom answer checker and adaptive parameters.
- Answer is a point or list of points. Finding the x-intercepts and y-intercepts of function, with lists of points as answers. (Uses contextLimitedPoint.pl)
- Differentiating and evaluating a function. Differentiating functions and controlling how they are evaluated and answers are displayed. (Uses unionLists.pl)
- Answer is a number or formula with units. A velocity question with units. (uses parserNumberWithUnits.pl and parserFormulaWithUnits.pl)
- Answer is a difference quotient. Students are required to simplify their difference quotient. (Uses parserDifferenceQuotient.pl)
- Linear approximation. Gives hints to students who enter a number instead of an equation for a line. (Uses answerHints.pl and parserAssignment.pl)
- Dynamically generated graphs with Riemann sums. Has graphs with shaded (filled) regions. (Uses weightedGrader.pl and PGgraphmacros.pl)
- Find the area of the shaded region. A dynamically generated graph with a shaded region. (Uses PGgraphmacros.pl and unionTables.pl)
- Indefinite integrals and general antiderivatives. Checks whether a student's answer differs from the correct answer by a constant. (Uses parserFormulaUpToConstant.pl)
- Interactive GeoGebra applet for the Fundamental Theorem of Calculus. Shows how to construct and include a GeoGebra (Java) applet. (Uses AppletObjects.pl)
- Answer blanks in the limits of integration. Uses tables cleverly to put answer blanks into the limits of integration. (Uses PGunion.pl and answerHints.pl)
- Volume of solids of revolution 1. Requires students to set up an integral and the answer blanks are weighted. (Uses weightedGrader.pl)
- Volume of solids of revolution 2. Requires students to set up an integral, the answer blanks are weighted, and the final answer provides full credit. (Uses weightedGrader.pl)
- Volume of solids of revolution 3. Requires students to set up an integral and all answers must be correct for any credit to be awarded.
Sequences and Series
- Answer is an ordered list. The answer is a sequence of numbers.
- Sequences and recursively defined functions. We add a named function (dummy function) to the context for a recursively defined function. (Uses parserFunction.pl)
- Sequences with explicit formulas. Restricts the domain of the formula to positive integers to avoid errors in answer evaluation.
- Series tests. Requiring students to justify their answers for a series test. (Uses parserMultiAnswer.pl, PGgraders.pl, and unionTables.pl)
Parametric Equations and Vector Parametric Equations
- Graphing a parametric curve in 2D. Plotting a polar curve in the plane.
- Graphing a parametric curve in 3D. Plotting a parametric curve in 3D space. (Uses LiveGraphicsParametricCurve3D.pl)
- Graphing a parametric surface in 3D. Plotting a parametric surface in 3D space. (Uses LiveGraphicsParametricSurface3D.pl)
- Answer is a parametric curve in space. Uses three separate answer blanks that are controlled by MultiAnswer. (Uses parserMultiAnswer.pl)
- Answer is a vector parametric curve in the plane. Requires students to enter a vector parametric curve with correct domain. (Uses parserMultiAnswer.pl and parserVectorUtils.pl)
- Answer involves a vector parametric curve and its derivatives. Shows how to get the components of a vector-valued function, and uses a custom answer checker. (Uses parserVectorUtils.pl)
- Answer is a vector parametric lines. Shows how to require a particular parametrization or allow any parametrization. (Uses parserVectorUtils.pl and parserParametricLine.pl)
Multivariable Differential Calculus
- Answer is an equation for a line (in 2D) or a plane (in 3D). The answer can be any linear (affine) equation. (Uses parserImplicitPlane.pl)
- Contour plots. Shows how to construct a contour plot with a color gradient and labeled contours.
- Interactive 3D graph of a function in rectangular coordinates. Uses LiveGraphics3D Java applet to display an interactive graph. (Uses LiveGraphicsRectangularPlot3D.pl)
- Interactive 3D graph of a function in cylindrical coordinates. Uses LiveGraphics3D Java applet to display an interactive graph. (Uses LiveGraphicsCylindricalPlot3D.pl)
Multivariable Integral Calculus
- Setting up a double integral. Allows double integral to be set up in either order. (Uses parserMultiAnswer.pl)
- Vector operations. Dot product, cross product, length, unit vectors, parallel vectors. (Uses parserVectorUtils.pl and unionLists.pl)
- Using the Heaviside step function We show how to evaluate answers involving the Heaviside step function. (Uses parserFunction.pl)
- General solutions to ODEs with arbitrary constants. http://webwork.maa.org/moodle/mod/forum/discuss.php?d=378 and http://webwork.maa.org/moodle/mod/forum/discuss.php?d=324
- Primes in formulas http://webwork.maa.org/moodle/mod/forum/discuss.php?d=442
- Matrices and matrix operations http://webwork.maa.org/moodle/mod/forum/discuss.php?d=354
- Chemistry http://webwork.maa.org/moodle/mod/forum/discuss.php?d=449
- HTML input for dynamic problem adjustments http://webwork.maa.org/moodle/mod/forum/discuss.php?d=2351