Schedule: Chapter 7 The Techniques of Integration Due Date Chapter 6 Sections Learning Objectives Homework Assignment < 1 page notes You learn how to obtain integration by Dec 28,, 7.1 Integration by parts as the rule corresponding to the Page 468 # 3, 11, 17, 19, 27, 2014 Parts Product Rule for differentiation and 37, 45, 55 apply it to evaluate integrals. Extra # 25, 39, 45, 57, 65 <1 page You learn how to evaluate integrals of 7.2 Trigonometric Dec 30, Page 476 # 3, 9, 11, 21, 25, the forms , 2014 Integrals 32, 41 Extra: # 23, 31, 56, 62 ~Happy New Year!~ < 1 page notes You learn how to evaluate integrals of 7.3 Trigonometric Jan 2, 2015 Page 483 # 5, 7, 9, 11, 23, 37 the forms , , using trigonometric Substitution substitution # 17, 29, 33 < 1 page notes You learn how to recognize which 7.4 Integration of Page 492 # 11, 15, 23, 29, 33, technique or formula to use when given Jan 4, 2015 Rational Functions by 43, 49, 57 a particular integral to evaluate, and Partial Fractions how to evaluate it. Extra #3, 17, 19, 39, 61 <1 page notes Optional You how to recognize which 7.5 Strategy for material technique or formula to use when given Page 499 # 1, 5, 9, 13, 23, 25, Integration a particular integral to evaluate, and 27, 35, 39, 41, 49, 51, 61, 63, (any time) how to evaluate it. 75 < 1 page notes Optional You learn how to use tables and 7.6 Integration Using material computer algebra systems to integrate Tables and Computer Page 504 # 3, 7, 9, 11, 15, 17, functions that have elementary Algebra Systems (any time) 19, 23, 29, 31, 35, 41 antiderivatives. You learn how to find approximate < 1 page notes Optional values of definite integrals that are 7.7 Approximate material difficult to evaluate, using the Midpoint Page 516 # 1, 3, 5, 7, 11, 13, Integration (any time) Rule, the Trapezoidal Rule, and 19, 21, 31, 35 Simpson’s Rule.
Schedule: Chapter 7 The Techniques of Integration Due Date Chapter 6 Sections Learning Objectives Homework Assignment Dec 28,, 2014 7.1 Integration by Parts You learn how to obtain integration by parts as the rule corresponding to the Product Rule for differentiation and apply it to evaluate integrals. < 1 page notes Page 468 # 3, 11, 17, 19, 27, 37, 45, 55 Extra # 25, 39, 45, 57, 65 Dec 30, 2014 7.2 Trigonometric Integrals You learn how to evaluate integrals of the forms , <1 page Page 476 # 3, 9, 11, 21, 25, 32, 41 Extra: # 23, 31, 56, 62 ~Happy New Year!~ Jan 2, 2015 7.3 Trigonometric Substitution You learn how to evaluate integrals of the forms , , using trigonometric substitution < 1 page notes Page 483 # 5, 7, 9, 11, 23, 37 # 17, 29, 33 Jan 4, 2015 7.4 Integration of Rational Functions by Partial Fractions You learn how to recognize which technique or formula to use when given a particular integral to evaluate, and how to evaluate it. < 1 page notes Page 492 # 11, 15, 23, 29, 33, 43, 49, 57 Extra #3, 17, 19, 39, 61 Optional material (any time) 7.5 Strategy for Integration You how to recognize which technique or formula to use when given a particular integral to evaluate, and how to evaluate it. <1 page notes Page 499 # 1, 5, 9, 13, 23, 25, 27, 35, 39, 41, 49, 51, 61, 63, 75 Optional material (any time) 7.6 Integration Using Tables and Computer Algebra Systems You learn how to use tables and computer algebra systems to integrate functions that have elementary antiderivatives. < 1 page notes Page 504 # 3, 7, 9, 11, 15, 17, 19, 23, 29, 31, 35, 41 Optional material (any time) 7.7 Approximate Integration You learn how to find approximate values of definite integrals that are difficult to evaluate, using the Midpoint Rule, the Trapezoidal Rule, and Simpson’s Rule. < 1 page notes Page 516 # 1, 3, 5, 7, 11, 13, 19, 21, 31, 35