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Math 8 Winter 2012
Syllabus

Week 1
Wed. 4 Jan.	Section 7.1 (of tetxt): Integration by parts Practice Problems Sec. 7.11: 9, 17, 23, 33, 38, 41
Fri 6 Jan.	Section 7.2 (of text): Trigonometric integrals Practice Problems Sec. 7.2: 6, 17, 21, 25, 29, 33
Week 2
Mon 9 Jan.	Sec. 7.3 (of text): Trigonometric substitution Practice Problems Sec. 7.3: 5, 9, 15, 23, 25, 35
Weds 11 Jan.	Sec. 7.8: Improper Integrals Practice Problems: 8, 12, 13, 28, 34
Fri 13 Jan.	11.1-2: Sequences and series 11.1 Practice: 14, 26, 28, 29, 34, 38, 42 & 44 11.2 Practice: 8, 14, 32, 48
Week 3
Mon 16 Jan.	11.2-3: Series & The integral test 11.3 Practice: 8, 13, 18, 22
Weds 18 Jan.	11.4-5: The comparison test; Alternating Series 11.4 Practice: 6, 12, 25, 27 11.5 Practice: 10, 16, 24, 28, 32
Fri 20 Jan	11.6: Absolute convergence & the ratio & root tests Practice Problems: 6, 11, 16, 18, 22, 29 End of material covered by midterm 1
Week 4
Mon 23 Jan.	11.8: Power series Exercises 11, 13, 21, 25
Weds 25 Jan.	11.8: Power series Exercises 11, 13, 21, 25 Exam 1: 6-8PM (Filene Auditorium, Moore Hall)
Fri 27 Jan.	11.9: Representing functions with power series Exercises 9, 11, 23, 27
Week 5
Mon 30 Jan.	11.10: Taylor and Maclaurin series Exercises 9, 10, 13, 19
Weds 1 Feb.	11.10: Taylor and Maclaurin series Exercises 34, 49, 52, 56, 64, 68
Fri 3 Feb.	12.1-2: 3-D coordinate systems and Vectors 12.1 Exercises 3, 7, 11, 16, 24, 32, 33 12.2 Exercises 11, 17, 21, 25, 33
Week 6
Mon 6 Feb.	12.2-3: Vectors & the Dot Product 12.2 Exercises 11, 17, 21, 25, 33 12.3 Exercises 5, 9, 17, 23, 25, 33, 41, 45
Weds 8 Feb.	12.4: The cross product Exercises 3, 11, 15, 19, 29, 33, 35, 37
x-hour due to Winter Carnival	12.5: Equations of lines and planes Exercises 5, 9, 11, 13, 21, 27, 35, 37, 47, 55, 59, 61, 69
Week 7
Mon 13 Feb.	13.1-2: Vector functions and their derivatives and integrals 13.1 exercises 1, 5, 13, 17, 21-26, 27 13.2 exercises 7, 9, 17, 23, 27, 39
Weds 15 Feb.	13.3: Arc length and curvature Exercises 3, 18, 23, 29
Fri 17 Feb.	14.1: Functions of several variables Exercises 11, 17, 29, 49, 65, 67 End of material covered by midterm 2
Week 8
Mon 20 Feb.	14.2: Limits and continuity Exercises 7, 11, 15, 17, 31, 37
Weds 22 Feb.	14.3: Partial derivatives Exercises 25, 31, 41, 49, 55, 67, 69 Exam 2: 6-8PM (Filene Auditorium, Moore Hall)
Fri 24 Feb.	14.4: Tangent planes and linear approximations Exercises 3, 11, 17, 31, 33
Week 9
Mon 27 Feb.	14.5: The chain rule Exercises 3,9,25,27,33,39,43
Weds 29 Feb.	14.6: Directional derivatives and the gradient vector Exercises 13, 15, 25, 31, 43, 59
Fri 2 March	14.7: Maximum and minimum values Exercises 7, 11, 15, 33, 35, 39, 41, 45
Week 10
Mon 5 March	Wrap-up
Wed. 7 March	wrap-up
Sat 10 March	Final Exam, 3:00-6:00 PM, Location TBD

Last modified 5:40PM 3 January, 2012 (Sutton).