
Explore the single variable calculus module of the prep course, organized as separate UDMA courses covering basic and advanced topics, with prerequisites from previous modules and affordable reinforcement options.
Explore limits of sequences, convergence criteria, and partial limits, and apply arithmetic operations, the sandwich and pizza theorems, and the connection to limits of functions.
Explore limits of functions through epsilon-delta and sequence definitions, including left and right limits, one-sided limits, infinity limits, continuity, and the sandwich theorem with visual intuition.
Explore limits of integrals and sums, convergence criteria, and tools like the sandwich theorem, absolute convergence, limit comparison, and root and ratio tests.
Tackle the final quiz with a few questions, each appearing for about half a minute; pace yourself, note that answers are in the next lecture, and good luck.
Cover substitution and anti-derivative techniques, convergence criteria for improper integrals, monotone function discontinuities, series expansions, and applications to Riemann sums and volumes of revolution.
This course is a prep course for the GRE Subject exam in Mathematics. If you wish to apply for a grad program in math, statistics and such, this exam is required.
This is the second module and includes all the single variable calculus material needed in order to excel in the exam. More importantly, the course teaches techniques for solving problems FAST (since in the exam you will have 2.5 min per question - very little time).
We will go over the following topics:
The course is designed to review all that is necessary to get you up to speed and get you solving real exam problems. Knowledge covered in the first module is assumed.
See the free intro lecture of the first module to get more details.
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