This course covers the Direct and Limit Comparison Test in Calculus. The learning outcomes include understanding divergent and convergent series, applying the Comparison Test (LCT and DCT), and analyzing series involving trigonometric functions. The course teaches skills such as determining convergence/divergence using comparison tests and evaluating series with trigonometric functions. The teaching method involves lectures and problem-solving sessions. The intended audience for this course is students studying Calculus or anyone interested in advanced mathematical concepts.
Overview
Syllabus
Calculus, divergent + convergent = divergent, 11 4 #5.
Calculus, Comparison Test (LCT), 11 4 #5.
Calculus, Comparison Test (LCT), 11 4 #7.
Calculus, Comparison Test (DCT), 11 4 #7.
Calculus, Comparison Test (LCT), 11 4 #21.
Calculus, Comparison Test (LCT), 11 4 #28.
Calculus, 11 3 #26 (direct comparison).
Series of sin(1/n) diverges, Limit comparison test, sect 11.4#31.
Series of sin(1/n^2), Limit comparison test.
series of cos(1/n), test for divergence.
THE FACT.
telescoping series of arctan(n)-arctan(n+1).
Taught by
blackpenredpen
