Mathematics 116Q Syllabus Mathematics 116Q INITIAL OUTLINE Spring 2002
Text: Calculus, 4th edition, by James Stewart, Brooks/Cole Publishing Company

Note: Assigned problems are announced in class by the instructor. The instructor also chooses to cover either Sections 7.2, 7.3, 7.4 or Sections 7.2*, 7.3*, 7.4*

 Section Topic Suggested exercises

 5.2 Definite integral 334/1,5,8,33
 5.3 Fund. Thm. of Calculus 344/1,16,29
 5.4 Indefinite integrals 352/13,32
 5.5 Substitution 361/3,6,8,17,19,31,39,45
 6.1 Area between curves 376/1,2,3,11,14,21
 6.2 Volume 387/1,5,6,23,25,26,33,35,40,43,47,55,59,60
 7.1 Inverse functions 414/7,9,15,16,21,22,27,40,43

One of the next two blocks of three sections:
 [7.2 Exponential functions 425/1,11,13,17,24,29,38,55,63,72
 7.3 Logarithmic functions 433/1,5,7,18,23,32(b),33(b), 45,47,55
 7.4 Derivatives 443/1,3,4,5,12,19,20 25,28,31,51,64,69,74,75,81]

OR:
 [7.2* Natural logarithms 452/2,7,11,15,16,18,25,26 32,43,54,59,64,65,68
 7.3* The exponential function 458/3,5,6(a),19,21,26,29,40,45,57,68
 7.4* General log and exp functs. 467/1,2,5,9,17,28,31,39,43,49]

 10.4 Exponential growth 644/3,5,7,10,11
 7.5 Inverse trig functions 476/3,5,7,12,23,34,47,61,68
 7.7 l'Hospital's rule 493/1,3,4,11,15,17,18,23,29,32,47,53,57,63
 8.1 Integration by parts 508/1,2,3,7,9,12,21,29,37,41,45,47
 8.2 Trigonometric integrals 515/3,9,15,20,25,31,57
 8.3 (optional) Trig. substitutions 522/1,2,3,4,5,8
 8.4 Partial fractions 532/3,5,8,13,17,30
 8.5 (optional) Strategy 538/1,9,13,17,19,25
 8.7 Approximate integration 554/1,3,5,9,17,23,31,34
 8.8 Improper integrals 565/2,3,5,7,11,14,17,28,35,37,40,49,53
 12.1 Sequences 736/4,5,8,13,17,22,27,32,35
 12.2 Series 745/2,6,9,10,11,19,29,33,37,43,44,49,50,60
 12.3 Integral test 754/7,9,10,15,18,25,35
 12.4 Comparison test 759/2,5,9,11,12,17,18,19,31,37
 12.5 Alternating series 764/2,3,4,11,13,17,18,23,26,27,31,33
 12.6 Ratio, root tests 770/1,3,4,5,7,9,17,20,24,30,33,35
 12.7 (optional) Strategy 773/5,6,12,21,25,33,35
 12.8 Power series 778/3,5,7,11,18,20,27,29,30,38
 12.9 Functions as power series 783/1,4,7,8,15,16,17,19,20,25
 12.1 Taylor series 794/2,4,5,12,13,15,18,25,27,29,35,37,41,54
 11.1 Parametric curves 679/1,4,7,11,17,19,20,22,28
 11.2 Tangents 687/3,5,8,11,13,17,31
 9.1, 11.3 Arclength 580/5,8,9,11; 693/1,4,5,9,10,15
 11.4 Polar coordinates 702/1,3,5,6,11,17,18,19,25,34,35,37,45,56
 11.5 Area and polar coordinates 708/3,7,12,13,19,21,24
 13.1 Coordinates in 3-space 821/1,3,5,7,8,9(a),12,13,15,20,31
 13.2 Vectors 828/5,6,9,11,13,16,17,21,23,25,31
 13.3 Dot product 836/1,2,3,5,9,11,17,20,27,28,33,41
 13.4 Cross product 843/3,7,9,11,15,23,27,31
 13.5 Lines and planes 852/3,5,11,15,19,25,29,33,37, 41,47,59,61

Last updated by J. F. Hurley 1/21/02