Wright State University Lake Campus/2017-1/MTH2310
- The four midterm tests are on 2/2/17, 3/9/17, 3/30/17, and 4/20/17 (all Thursdays) from 11:30 - 12:50 pm.
- The final exam is on Monday 4/24/17, at 3:15-5:15 pm.
T1=Test 1 (sections): 1.7, 4.5, 5.6, G,, 5.7, 5.10
For each equation, solve the problem in your private wiki and generate a variation using the Prob. provided.
Parametric equation Sec 1.7 p72
Write this parametric equation in the form y=f(x), and sketch the graph:
Limits Sec 4.5 p290
Evaluate the limit:
Evaluate the limit: (see page 297 problem 47)
This is correct, but we need
- Because a reasonable person might forget to take antilog in the last step, the tests will not be multiple choice, but instead graded for partial credit.
See Example 8 Sec 4.5
Integration by parts Sec 5.6 p283
- sample alternative: : this was hard. we do integration by parts and solve 2 equations in two unknowns.
- hint: https://www.youtube.com/watch?v=htTerwAGeLY
This one does :
. Now let
Also, the derivative of the arcsin should be obtained using this trick:
hint- see also p.389 in textbook
Do the second term with the substitution:
This should lead to: ∫ [cos(x) - cos(x)*sin(x)^2] dx = sin(x) - (1/3)sin(x)^3 + c
Partial Fractions Sec 5.7 p398
- Section 5.7 (pp. 389-392): Examples 1, 2, and 4. You need not memorize the half-angle formulas.
Improper Integrals Sec 5.10 p413
- I think I did examples 2 and 4 pp416-417
- Example 3 involves the arctan, which is the integral of 1/(1+x2), which I consider a low priority integral to memorize. Good project, if you show why.
- Time permitting, we will look at a "type 2" case: Example 9 is fun, because it uses the Comparison Theorem. But you need to be certain that you understand this theorem.