Calculus III (MAT.273)
Math
An 88 card deck I made throughout my Calculus III class (at Wake Tech).
(Note that you can change the number of new cards Anki gives you per day, if you want. To spread the cards out over the whole 16 week course, you could set this to just 1 new card per day. Or if you want an ever-growing headstart, you could set it to 2 or 3 per day. The default number is 20, but at that rate Anki would bombard you with the entire deck in 5 days.)
Sample Data
| Front | How can Fubini's theorem be used for nonrectangular regions? |
| Back | ∫ab ∫g1(x)g2(x) f(x,y) dy dx=∫cd ∫h1(y)h2(y) f(x, y) dx dy(= ∫∫D f(x,y) dA)(In other words, describe the curved boundaries of the region in terms of the other variable)Where: g1(x) and g2(x) are the vertical (top and bottom) boundaries of Dh1(y) and h2(y) are the horizontal (left and right) boundaries of D |
| Front | What's the difference between simple and not simple line integrals? |
| Back | Non-simple line integrals cross themselves, requiring that they be split into two line integrals
 |
| Front | How can you tell apart formulas for scalar/vector line/surface integrals? |
| Back | Vector line/surface integrals use a dot product.Surface integrals are double integrals instead of single integrals.Surface integrals are a generalization of surface area: if F(x, y, z) = 1, a surface integral (which is ∫∫s 1 ds) will give surface area, similar to how a double integral of 1 will give area.Surface integrals are like a higher dimensional version of line integrals. |