This course teaches techniques for the design and analysis of efficient algorithms, emphasizing methods useful in practice. Topics covered include: sorting; search trees, heaps, and hashing; divide-and-conquer; dynamic programming; amortized analysis; graph algorithms; shortest paths; network flow; computational geometry; number-theoretic algorithms; polynomial and matrix calculations; caching; and parallel computing.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this integral is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.