Lattices are isomorphic iff they are isomorphic as partially ordered sets (see 63.11).Draw a diagram corresponding to each isomorphism class of lattiCes that have four or fewerelements. [See 63.11(b), (c), (d).J

Week 2 Day 1 Notes 8/29/16 – 8/31/16 6.2 Trigonometric Integrals and Substitutions Calculus II *Important to know trigonometric identities for this section* Using the Pythagorean identity ∫ sin ( )os x( ) Ex 1: sin2(x)=1−cos 2(x ) sin (¿¿2x) cos (x)sin x )dx u=cos (x) ∫ ¿ du=−sin (x)dx 2 cos (x) 1−¿ −du=sin (x)dx ¿ ¿ ∫ ¿ 2 u 1−¿ ¿ ¿ ∫ ¿ 2 4 6 −∫ (u −2u +u )du 3 5 7 − u −2