Welcome to the webpage of Math 166 

Analytic Geometry and Calculus II (4 credits)

Spring 2009   Class Number: 28445    Schedule: 6:00 p.m. - 7:50 p.m. TR in SL 137


Instructor: Andrea Dziubek   

Office: HS 4051  

Phone: 278-6913  

E-mail: adziubek 'at' iupui 'dot' edu

Final: Saturday, December 12, 3:30 p.m. - 5:30 p.m.

Textbook: Calculus, Sixth Edition, by James Stewart, Chapters 7 to 12

Syllabus for Math 166

Quiz 1 166

What is done

Th, Aug 27 Section 7.1
Section 7.2
Reading: Section 7.1, 7.2
HW 7.1: 1, 2, 6, 8, 11, 12, 14, 15, 18, 19, 20, 33, 35, 39, 45
HW 7.2: 1,2,4,5,8,10,14,15,16,24,26,29, 31,33,36,37,38,42
Tu, Sep 1 Section 7.3
Section 7.4
Reading: Section 7.3, 7.4
HW 7.2: 53, 74,75, 77, 80, 82
HW 7.3: 4, 6, 8, 13, 17, 22, 24, 26, 27, 29, 32, 35, 37, 47
Th, Sep 3 Section 7.4
Section 7.5
Reading: Section 7.5
HW 7.4: 3, 6, 8, 9, 11, 13, 16, 18, 21, 25, 26, 30, 35, 42, 45, 50, 70, 72, 75, 79
HW: 7.5: 3, 8, 15
Tu, Sep 8 Section 7.6
Section 7.7
Reading: Section 7.6, 7.7
Review App. D
HW 7.6: 1, 3, 4, 5, 7, 8, 9 (value), 11, 13, 14 (simplify), 19 (prove), 23, 25, 26, 27, 29, 31, 32, 33, 37 (derivative), 59, 61, 63, 64, 65, 66, 67, 69 (integrate)
HW: 5.5: 19 -- 29 odd, 37, 39, 65 -- 75 odd (do not turn in)
Th, Sep 10 Section 7.7
Section 5.5
Review: Section 5.5 (u-substitution)
Tu, Sep 15 Test 1
Section 7.8
Reading: Section 7.8 L' Hospit s rule
HW 7.7: 1, 3, 4, 5, 6 (value), 7, 8, 9, 10, 11, 13, 15, 16, 17, (prove), 21, 23 (limits), 31, 33, 34, 35, 37, 41, 43 (derivative), 57, 58 (integrate)
HW 7.8: 7, 9, 11, 21, 23, 35, 27, 29, 33, and 39, 43 (product), 49, 51 (sum), 53 ,59 (power)
Th, Sep 17 Section 8.1 Reading: Section 8.1 Integration by parts
HW 8.1: 5, 7, 9, 11, 17, 20, 23, 25, 27, 28 and 47, 48 (reduction formula), 53 (area)
Tu, Sep 22 Section 8.1
Section 8.2
Reading: 8.2 Trigonometric integrals
HW 8.2: 1, 3, 5, 7, 10, 11 ,*13*, 15, 19 (sin/cos), 20, 23, 25, *27*, 30, 31, 35, 41 (tan/sec)
HW 8.3: 1, 2, 3, (which substitution) 4, 5, 13, 15, 17, *19*, 23, 25 (trig substitution), and *31* (hyperbolic
substitution)
Th, Sep 24 Section 8.2
Section 8.3
Reading: Section 8.3, Trigonometric Substitution

Tu, Sep 29 Section 8.4
Section 8.5
Reading: Section 8.4 Partial Fractions, Section 8.5 Integration Strategies
HW 8.4: 1, 3, 5 (write partial fractions), 9, 11, *15*, 17, 21, 23, 27, 29, 31, 33, *35*, 37 (integrate), 44, 47, 48 (u=exp, cos/sin, sqrt(x)) , 51 (combination)
HW 8.5: 1 -- 79 odd (do not hand in)
Portfolio on Integration Strategies
Th, Sep 31 Section 8.6 Reading: Section 8.6 Integration Strategies


Tu, Oct 6 Section 8.7 Reading: Section 8.7 Approximate Integration
HW 8.7: 7, 8, *21*
HW 8.8: 1, 5, 7, 8, 9, 11, *13*, 15, 17, 19, 21, 25, *31*, 34, 39, 49, *50*, 51, 54
Th, Oct 8 Section 8.8 Reading: Section 8.8 Improper Integrals


Tu, Oct 13 Section 9.1
Section 9.2
Reading: Section 9.1, 9.2 Arc Length Problems, Surface of Revolution
HW 9.1: 7, 9, 11, *13*, 15, 17, 19, *33*, 40
HW 9.2: 5, 7, 9, 11, *15*, 25
Th, Oct 15 Test #2


Tu, Oct 20 Section 9.3 Reading: Section 9.3 Hydrostatic Force and Center of Mass
HW 9.3: 1, 3, 4 ,7 ,*13*,14 (hydrostatic force), 21, 23, 25, 27, *31*, 35, 39 (center of mass), 45 (Pappus)

Th, Oct 22 Review test #2
Section 12.1
Reading: Section 12.1, Sequences


Tu, Oct 27 Section 12.1
Reading: Section 12.1 Sequences, 12.2 Series
HW 12.1: 3, 5, 7 (terms), 9, 11, 13 (formula), 17, 19, 21, *25*, 27, *29*, 31, 33, 35, 39, 41, 43, 45 (limit), 51, 53, (no graph), 54 (recursive), 61, 63
HW 12.2: 3, 5, 7 (partial sums), 9, 11, 13, 15, *17*, 19 (geom. series), 21, 23, 25, 27, 29 , 31, 33 (limit), 35, 37, *39* (tele. series), 41, 43, 45 (repeated decimals), 46, 51 (values)
Th, Oct 29 Section 12.2


Tu, Nov 3 Section 12.3
Section 12.4
Reading: Section 12.3 Integral Test, 12.4 Comparison Tests
HW 12.3: 5, 7, 9, 11, 13, *15*, 17, 19, 21, 23, 25 (integral test), *27* (which values), 32 (estimate sum), 39
HW 12.4: 3- 31 odd: What will you compare to? and 4, 6, 8, *14*, 18, 20, *30* (comparison tests), 33, 35 (estimate sum), 37
HW 12.5: 3, 7, 9, *11*, 13, 17, 19 (alternating series), *21* (partial sums), 25 (terms), 29, (sum of series)
Th, Nov 5 Section 12.5
Section 12.6
Reading: Section 12.5 Alternating Series, Section 12.6 Ratio and Root Test


Tu, Nov 10 Section 12.8
Section 12.9
Reading: Section 12.8 Power Series, Radius and Interval of Convergence, Section 12.9 Power Series Representation
HW 12.8: 3, 5, *9*, 11, 13, 15, 17, 19, *23*, 25, 37
HW 12.9: 3, 4, 5, 7, 8, *9*, *15*, 17, 18
HW 12.10: 5, 6, 7, *10*, 12 (Maclaurin series), 13, 15, *17* (Taylor series at a), 39 (graph), 47 (approximate), 63, 65, 67 (sum of series)
Th, Nov 12 Section 12.9
Section 12.10