GRE Math Subject Preparation Seminar
ORGANIZER: SCOT ADAMS
(notes on practice test 3)
Problem 1:
- Topic tested: point in subspace, or not?
- calc(50%), alg(25%) or other(25%): CALC
- Accessible after 2nd year calc
- NOTE: Could even be done with precalc, by a student who has studied three-dimesional coordinate geometry
- Subspaces Olver-Shakiban: §2.2, p. 83
- Subspaces video: click here
Problem 2:
- Topic tested: manipulation of inequalities
- calc(50%), alg(25%) or other(25%): CALC
- Precalc
- Manipulation of inequalities: click here
- Manipulation of inequalities video: click here
Problem 3:
- Topic tested: computation of double integral
- calc(50%), alg(25%) or other(25%): CALC
- Accessible after 2nd year calc
- Computation of double integral: click here
- Computation of double integral video: click here
Problem 4:
- Topic tested: derivative computation (product rule)
- calc(50%), alg(25%) or other(25%): CALC
- Accessible after 1st year calc
- Derivative computation: click here
- Product rule video: click here
Problem 5:
- Topic tested: antidifferentiation in two variables
- calc(50%), alg(25%) or other(25%): CALC
- Accessible after 2nd year calc
- Antidifferentiation in two variables: couldn't find a good reference
- Antidifferentiation in two variables video: click here
Problem 6:
- Topic tested: derivative of graph
- calc(50%), alg(25%) or other(25%): CALC
- Accessible after 1st year calc
- Derivative of graph: click here
- Derivative of graph video: click here
Problem 7:
- Topic tested: area between two curves
- calc(50%), alg(25%) or other(25%): CALC
- Accessible after 1st year calc
- Area between two curves: click here
- Area between two curves video: click here
Problem 8:
- Topic tested: sum a series
- calc(50%), alg(25%) or other(25%): OTHER
- Postcalc
- Sum a series: click here or click here
- Sum a series video: click here
- NOTE: The basic fact used in this problem is that if an→p>0, then ∑an=+∞.
It's hard to find this stated in exactly this form.