



Math 121 Review  §5.3 #5,7,13,21,25,31
§5.4 #7,11,15,45,55,57 

§5.5 The Substitution Rule
§6.1 Areas Between Curves 
§5.5 #4,11,16,19,26,37,38
§6.1 #3,5,8,14,19 

§6.2 Volumes
§6.3 Volumes by Cylindrical Shells 
§6.2 #2,3,7,8,19,20,51
§6.3 #4,5,6 

§7.1 Inverse Functions
§7.2* The Natural Logarithmic Function 
§7.2* (p. 428) #7,35,36,61,62,64,69,70,71,84  
§7.3* The Natural Exponential Function
§7.4* General Logarithmic and Exponential Functions 
§7.3* (p. 435) #39,50,58,77,82,88,95
§7.4* (p. 445) #30,31,35,51 Extra Credit Project: Due 2/12 

§7.6 Inverse Trigonometric Functions
§7.7 Hyperbolic Functions 
§7.6 #12,13,24,62,63,70
§7.7 #9,32,51,57,60 

§7.8 Indeterminate Forms and L'Hospital's Rule  §7.8 #5,10,15,22,28,39,40,47,54,55,59,85  
§8.1 Integration by Parts  §8.1 #3,8,15,17,18,24,29,43  
§8.2 Trigonometric Integrals  §8.2 #1,2,3,9,13,21,26,28,41,42,47,56  
§8.3 Trigonometric Substitution  §8.3 #7,9,13,16,20,22,23,24  
§8.4 Integration of Rational Functions by Partial Fractions
§8.5 Strategy for Integration 
§8.4 #11,15,21,28,41
§8.5 #7,9,11,13,15 
Turn in Monday 3/2, if you want it graded before the exam. 

§8.8 Improper Integrals  §8.8 #1,2,5,8,11,12,27,28,31,34,55  
Midterm 1  Chapter 6 (p. 378379) #2,4,7,8,12,16
Chapter 7 (p. 483485) #24,32,34,37,38,44,69,70,72,73,76,77,78,92,94,95,98,101,103,104 Chapter 8 (p. 554555) #57,9,11,1421,2326,33 

§12.1 Sequences  §12.1 #4,5,9,10,17,18,20,61,62,65  
§12.2 Series
§12.3 The Integral Test and Estimates of Sums 
§12.2 #3,9,11,17,18,22,23,26,48
§12.3 #3,4,7,16,17,21,22 Extra Credit Project: Due 4/2 

§12.4 The Comparison Tests  §12.3 #33,34
§12.4 #3,4,7,8,9,12,17,25,26,38 

§12.5 Alternating Series  §12.5 #5,7,10,13,14,27,30,31,32  
§12.6 Absolute Convergence and the Ratio and Root Tests
§12.7 Strategy for Testing Series 
§12.6 #3,4,13,18,20,21,32
§12.7 #14,68 

§12.8 Power Series  §12.8 #3,7,8,9,12,19,23,31  
§12.11 Applications of Taylor Polynomials  §12.11 #1,2,3,5,6,8,9  
§12.10 Taylor and Maclaurin Series  §12.11 #13,14,16,17,18 (with changes  see link)
§12.10 #5,7,8 

§12.9 Representations of Functions as Power Series  §12.9 #13,27,28
§12.10 #29,32,34,47,48,50,51,54 Extra Credit Project: Due 5/5 
Turn in Thursday 4/23, if you want it graded before the exam. 

§9.1 Arc Length  §9.1 #3,8,13,14,17  
Midterm 2  Chapter 12 (p.795796) #6,1116,18,20,2327,31,34,35,4042,44,4650,55,57a,58a  
§9.2 Area of a Surface of Revolution  §9.2 #7,9,1012,14  
Course Review  Study for Final: Tuesday, May 12, 2:005:00pm
Chapter 8 (p. 555) #42,44,48,49 Chapter 9 (p. 598) #14 