1. How would I solve the questions that require explanation in text?
• To prove a statement, bring out the generalization without sticking to any particular case of the statement.
• Apply only the specified method to get the solution and do not use methods that are not explained in the textbook.
• Iterative methods in numerical methods must be clearly explained for one step using one step size (h) value. For other h values, a table must be given for other step size (h) values.
2. What should I keep in mind while solving questions that require diagrams or graphs?
A) While drawing a curve, first explain the tracing process in the following manner: (i) scaling, (ii) angle in each quadrant in the case of polar curves along with the grid lines, (iii) the scale of the parameter in the case of the parametric curve and, (iv) the domain of the function. The curve must be drawn only after providing these details.
B) Geometry-related problems must be supported by a graph or a figure if the problem demands.
C) Matching of figures and equations should be supported by reasons / definitions / statements in the textbook.
D) Matching of differential equation and its direction field requires the explanation of slopes of each solution curve at the initial points and critical points.
E) If the question asks to match one equation with one of the given four options, then explain the correct option and explain why the other options are incorrect.
3. Should I use any particular software to solve questions that require typing out equations?
We prefer only Math Type software to work on equations.
4. What is a perfect solution and what should be the basic settings for solving questions using Mathematica?
• Input command should be in plain text, font ‘Times New Roman’, and font size 12.
• Copy the output from command window (Notebook (.nb)) or take a screenshot of the output window and paste it in the solution.
5. How to use MATLAB in a solution?
• Input command should be in plain text, font ‘Times New Roman’, and font size 12.
• Copy the output from command window or take a screenshot of the output window and paste it in the solution.