Science:MER/Manual/Content
MER Manual 

Table of Contents 
This page summarizes the type of content on the wiki, how to add/edit/flag it, and expectations of quality.
Question Statements
Question statements are stated as closely as possible to their original statements on the exam.
Adding/Editing a question statement
Question pages are automatically generated with a blank question statement box. Just click edit to start adding content to that hint.
Finding Exam Questions
Exams are published on the UBC Math Department website, sorted by course. There should also be a copy linked on an exam page.
Quality control : reviewing a question statement
Once a question statement has been flagged for review (with a RQ flag), a contributor who has NOT worked on that statement can review its content. There are two possible outcomes of the review:
 Bad: for a question statement that contains mistakes, typos or formatting errors when compared to the pdf version of the original exam question. In this case, the reviewer has two choices:
 make the appropriate modifications and leave the RQ flag to invite another contributor to review the new work;
 OR leave the work as is and change the RQ flag into a QBQ flag to signal the problem to other contributors. In this case, the reviewer is asked to write the reasons for the bad flag in the discussion page to justify and inform other contributors of his decision and the work that needs to be done.
 Good: for a question statement that is correct and well formatted. In this case, the reviewer changes the RQ flag into a QGQ flag.
Hints
Hints are a critical aspects of the MER project. They constitute our attempt to support student learning by encouraging the students to work on the problems on their own instead of simply copying procedures.
Criteria for good hints
A good hint should be:
 Something that helps the student move forward with the problem while revealing as little as possible.
 Something that focuses on a conceptual understanding of the underlying mathematics instead of highlighting procedural methods.
I added a hint, how do I flag it for review?
When there is more than one hint present, it is worth adding in the discussion page a mention of which hint should be reviewed, and add additional RH flags if appropriate.
Quality control  reviewing hints
Once a hint has been flagged for review (with a RH flag), a contributor who has NOT worked on that hint can review its content. There are two possible outcomes of the review:
 Bad: for a hint statement that contains mistakes, typos or formatting errors OR for a hint that doesn't support well student learning (see the criteria for good hints above). In this case, the reviewer has two choices:
 make some modifications and leave the RH flag to invite another contributor to review the new work;
 OR leave the work as is and change the RH flag into a QBH flag to signal the problem to other contributors. In this case, the reviewer is asked to write the reasons for the bad flag in the discussion page to justify and inform other contributors of his decision and the work that needs to be done.
 Good: for a hint that is correct, well formatted and support student learning. In this case, the reviewer change the RH flag into a QGH flag.
A third possible outcome would be that the reviewer thinks there should be more hints. In that case, the reviewer can add the hints him/herself and flag appropriately (see above) or make sure that the Question page has an active CH flag and explain what kind of hint you are looking for in the discussion page.
Solutions
Solutions to exam questions constitute the main part of the content this wiki offers to students (for the moment at least). Since our mission is to support student learning, we want to strive for solutions which encourage students to learn and think deeply of their work and the concepts involved with calculus and avoid promoting rote learning and procedural thinking as much as possible.
Criteria for good solutions
A good solution should be:
 Simple given the concepts and tools that are available to a typical student.
 Clearly highlight the reasoning that is involved in making decisions when solving a problem.
 Spend some time discussing how word problems are modelled. This element is critical for students and constitute one of their biggest weaknesses. As such, extra care should be taken to explain and guide students through that step while explaining alternate and equivalent choices which would also work.
I added a solution, how do I flag it for review?
When there are more than one solution present, it is worth adding in the discussion page a mention of which solution should be reviewed.
Quality control  reviewing a solution?
Once a solution has been flagged for review (with a RS flag), a contributor who has NOT worked on that solution can review its content. There are two possible outcomes of the review:
 Bad: for a solution that contains mistakes, typos or formatting errors OR for a solution that doesn't support well student learning (see the criteria for good solutions above). In this case, the reviewer has two choices:
 make some modifications to the solution and leave the RS flag to invite another contributor to review the new work;
 OR leave the work as is and change the RS flag into a QBS flag to signal the problem to other contributors. In this case, the reviewer is asked to write the reasons for the bad flag in the discussion page to justify and inform other contributors of his decision and the work that needs to be done.
 Good: for a solution that is correct, well formatted AND support student learning. In this case, the reviewer change the RS flag into a QGS flag.
As with hints, the third possible outcome is that the reviewer would like to see an additional solution. The reviewer can either write the additional solution and flag for review (see above) or make sure that the Question page has an active CS flag and explain what kind of hint you are looking for in the discussion page.
Tags
Tags (another use of wiki category flags) allows us to sort and search for questions by topic. It is nice if you can tag questions as you go, but adding topic tags is not required to "finish" a solution.
Adding tags to a question page
Simply add your tag(s) at the appropriate place in the code of the corresponding question page. E.g.
... 
adds the tags Set theory and Prove or disprove to that question. To see which tags can be added to questions, see the tag dictionary below.
After you have added your tags, update the status flag of the question from Category:MER_CT flag to Category:MER RT flag.
Adding a tag to the dictionary
Just use the following creation box to add a new Tag. Please consider the current list of tags before adding a new one.
Create a new Tag 


Tags Dictionary
 Affine cryptosystem
 Alternating series test
 Antiderivative sketching
 Arc length
 Area between two curves
 Asymptote
 Average value
 Binomial distribution
 Carmichael number
 CayleyHamilton theorem
 Center of mass
 Centroid
 Chain rule
 Chinese remainder theorem
 Combinations
 Comparison test
 Complex numbers
 Concavity
 Condition number
 Continued fraction
 Continuity
 Continuous compound interest
 Critical points and intervals of increase and decrease
 Cumulative distribution function
 Determinants
 Differentiate (other)
 Diophantine equation
 Discrete probability
 Divisibility
 Domain and range
 Eigenvalues and eigenvectors
 Equations of motion
 Euclidean algorithm
 Euler's criterion
 Euler's method
 Euler's theorem
 Exact differential equation
 Expected value and median
 Fermat's little theorem
 Fermat's theorem on sums of two squares
 Field lines and phase portraits
 Four fundamental subspaces
 Fourier series
 Function properties
 Fundamental theorem of arithmetic
 Fundamental theorem of calculus
 Fundamental theorem of calculus (multivariable)
 Gaussian elimination
 Geometric linear algebra
 Geometric series
 Gradients
 Graphing of a function
 Higherorder differential equation
 Hydrostatic force
 Implicit differentiation
 Improper integral
 Infimum and supremum
 Initial value problem
 Integral test
 Integrating factor
 Integration by parts
 Integration in business
 Integration in physics
 Intermediate value theorem
 Invertibility
 Irrationality
 L'Hopital's rule
 Lagrange interpolation
 Lagrange multipliers
 Laplace transforms
 Least squares
 Legendre symbol
 Level curves
 Limit comparison test
 Limit definition of the derivative
 Limit of a rational function
 Limit of a square root function
 Limit of a trigonometric function
 Linear approximation
 Linear independence and bases
 Linear ordinary differential equation
 Linear systems
 Linear transformation definition
 Logarithmic differentiation
 Logic
 MATLAB
 Marginal productivity
 Mathematical induction
 Matrix decomposition
 Matrix diagonalization
 Matrix exponentiation
 Matrix norm
 Matrix operations
 Matrix similarity
 Mean value theorem
 Miller's test
 Modular arithmetic
 Multiple integral
 Multiplicative functions
 Multivariable calculus
 Net change theorem
 Newton's law of cooling
 Newton's method
 Optimization
 Order of an integer
 Orthogonal complement
 Orthogonal projection
 Parsevals theorem
 Partial derivative
 Partial fractions
 Pell equation
 Permutations
 Polar coordinates
 Population dynamics
 Power iteration
 Power rule
 Power series
 Price elasticity of demand
 Primitive roots
 Probability density function
 Product rule
 Projections
 Proofs in calculus
 Properties of the definite integral
 Quadratic reciprocity
 Quotient rule
 RSA
 Random walks
 Rank and nullity
 Ratio test
 Rationality
 Recursion
 Reflection
 Related rates
 Riemann sum
 Separation of variables
 Sequences
 Series (other)
 Set theory
 Simpson's rule
 Solid of revolution
 Spline interpolation
 Squeeze theorem
 Steady state and equilibrium
 Substitution
 Summations
 System of linear equations
 Tangent line
 Tangent plane
 Taylor series
 Trapezoidal rule
 Trigonometric integral
 Trigonometric substitution
 Variance and standard deviation
 Vector space
 Wilson's theorem
 Work