MA 116 - Fall 2006

Syllabus :

No. Date Lecture Topics Assigned Exercises Recitation Exercises Wk

L1 M Aug 28 8.1, 8.2 (sequences and series) Hw1 :

L2 W Aug 30 8.2, 8.3 (series) 8.1: 6, 24 8.1: 5, 23 1

R1 Th, F Aug 31, Sep 1 8.2: 12, 14, 18, 24, 36 8.2: 11, 13, 17

8.3: 8, 10, 16, 20 8.3: 7, 9, 15, 19

-- M Sep 4 Labor Day Hw2 :

L3 W Sep 6 8.4 (convergence tests) 8.4: 4, 8, 12, 20, 22, 26 8.4: 1, 2, 3, 7, 11, 13 2

R2 Th, F Sep 7, 8 8.4: 19, 21, 25, 28

L4 M Sep 11 8.5 (power series) Hw3 3

L5 W Sep 13 8.6 (representation of functions as power series) 8.5: 4, 8, 14, 16 8.5: 3, 7, 13, 15

R3 Th, F Sep 14, 15 8.6: 6, 8, 16, 22, 36(c)(iii)(bonus) 8.6: 5, 7, 13, 15, 21, 35

L6 M Sep 18 8.7 (Taylor and Maclaurin series I) Hw4 4

L7 W Sep 20 8.7 (Taylor and Maclaurin series II) 8.7: 2, 6, 10, 12, 14, 20, 34, 8.7: 5, 9, 19, 33, 37, 51

R4 Th, F Sep 21, 22 40, 50, 54, 56(a)(bonus)

L8 M Sep 25 9.2, 9.3 (vectors, dot product, projections) Hw5 :

L9 W Sep 27 9.4 (cross product), 9.5 (equations of lines and planes I) 9.2: 18, 32 9.2: 31 5

R5 Th, F Sep 28, 29 9.3: 8, 18, 20, 26, 45 9.3: 7, 19, 25

9.4: 6, 8, 10, 18, 26, 28(bonus) 9.4: 1, 2, 3, 7, 9, 17, 25

L10 M Oct 2 Review session 1 (8.1--8.7) Hw6 6

Qz1 T Oct 3 Quiz 1: sections 8.1-8.7 [Solutions] . 9.5: 2, 4, 6, 10, 14, 18, 22, 9.5: 5, 7, 13, 17, 25, 33, 41

Quiz 1: RA, RB, and RC in K228; RD in P120; RE and RF in P116. 26, 34, 42, 54(bonus)

L11 W Oct 4 9.5 (equations of lines and planes II)

R6 Th, F Oct 5, 6

-- M Oct 9 Fall recess Hw7 : 7

L12 Tu Oct 10 10.1, 10.2 (vector functions and space curves) 10.1: 14, 17-22, 38 10.1: 37

L13 W Oct 11 10.3, 10.4 (arc length and motion) 10.2: 18, 20, 25, 28, 36 10.2: 17, 19, 27, 35

R7 Th, F Oct 12, 13 10.3: 2, 4, 12(b) 10.3: 1, 7, 11(b)

10.4: 10, 14 10.4: 13

L14 M Oct 16 9.6, 11.1, 11.2 (functions of several variables) Hw8 : 8

L15 W Oct 18 11.3, 11.4 (differentials) 9.6: 8, 20, 32, 34 9.6: 19

R8 Th, F Oct 19, 21 11.1: 6, 10, 16, 31-36 11.1: 15;

11.2: 6, 8, 16 11.2: 5, 7

11.3: 6, 8, 14, 22, 38, 48, 50 11.3: 13, 15, 37, 47

L16 M Oct 23 11.5 (chain rule, implicit differentiation) Hw9 : 9

L17 W Oct 25 11.6 (directional derivatives and gradients) 11.4: 4, 29, 36, 38 11:4: 3, 27, 37

R9 Th, F Oct 26, 27 11.5: 4, 8, 10, 20, 24, 28, 44 (bonus) 11.5: 19, 23

L18 M Oct 30 Review session II [ Typical problems with hints ] Hw10 : 10

Qz2 T Oct 31 Quiz 2: sections 9.2-9.5, 10.1-10.4 [Solutions] 11.6: 6, 10, 14, 16, 22, 36 11.6: 9, 21, 35

RA, RB, and RC in K228; RD in P120; RE and RF in P116. 11.7: 2, 3, 4, 8, 16, 26, 28, 36, 40, 48, 50 (bonus) 11.7: 7, 15, 25, 35

L19 W Nov 1 11.7 (extremum of functions of several variables)

R10 Th, F Nov 2, 3

L20 M Nov 6 11.8 (Lagrange multipliers) Hw11 : 11

L21 W Nov 8 12.1, 12.2 (double integrals over rectangles) 11.8: 4, 6, 10, 12, 18 11.8: 5, 9, 19, 23, 39

R11 Th, F Nov 9, 10 11.8: 22, 30, 40, 44 (bonus)

L22 M Nov 13 12.2 (double integrals) Hw12 : 12

L23 W Nov 15 12.3 (double integrals in general regions I) 12.1: 8, 12 12.2: 23

R12 Th, F Nov 16, 17 12.2: 4, 14, 22, 26 12.3: 7, 19

12.3: 8, 10, 12, 24, 26 12.4: 7, 13, 23

L24 M Nov 20 H.1, 12.4 (double integrals in polar coordinates) Hw13 : 13

-- W Nov 22 Thanksgiving recess 12.3: 34, 36, 38, 40, 42, 50

-- Th, F Nov 25, 26 Thanksgiving recess H1: 18, 28, 42 no recitation classes

12.4: 8, 10, 14, 18, 26, 32(bonus)

L25 M Nov 27 Review session III Hw14 (due 12/7-8) : 14

Qz3 T Nov 28 Quiz 3: sections 11.1-11.8, 12.1-12.3 [Solutions] . 12.3: 45, 46 H1: 9, 17, 25, 41

Quiz 3: RA, RB, and RC in K228; RD in P120; RE and RF in P116. 12.4: 12, 20, 28, 30 12.4: 11, 15, 25

L26 W Nov 29 12.4 (double integrals in general regions II) 12.5: 2, 4, 14

R13 Th, F Nov 30, Dec 1

L27 M Dec 4 12.5 (applications of double integrals) 15

L28 W Dec 6 Review 12.5: 1, 3, 7, 11, 13

R14 Th, F Dec 7, 8

Final Exam.

Rev M Dec 11 Review: December 12, 9am-12pm, K228.

Fin W Dec 13 Final: Cumulative Exam, 8:00-12:00 8:00-12:00. A: K228; B: K228; C: E222



No.			Date		Lecture Topics	Assigned Exercises	Recitation Exercises	Wk


L1		M	Aug 28		8.1, 8.2 (sequences and series)	Hw1 :
L2		W	Aug 30		8.2, 8.3 (series)	8.1: 6, 24	8.1: 5, 23	1
R1		Th, F	Aug 31, Sep 1			8.2: 12, 14, 18, 24, 36	8.2: 11, 13, 17
						8.3: 8, 10, 16, 20	8.3: 7, 9, 15, 19

--		M	Sep 4		*Labor Day*	Hw2 :
L3		W	Sep 6		8.4 (convergence tests)	8.4: 4, 8, 12, 20, 22, 26	8.4: 1, 2, 3, 7, 11, 13	2
R2		Th, F	Sep 7, 8				8.4: 19, 21, 25, 28


L4		M	Sep 11		8.5 (power series)	Hw3			3
L5		W	Sep 13		8.6 (representation of functions as power series)	8.5: 4, 8, 14, 16	8.5: 3, 7, 13, 15
R3		Th, F	Sep 14, 15			8.6: 6, 8, 16, 22, 36(c)(iii)(bonus)	8.6: 5, 7, 13, 15, 21, 35

L6		M	Sep 18		8.7 (Taylor and Maclaurin series I)	Hw4		4
L7		W	Sep 20		8.7 (Taylor and Maclaurin series II)	8.7: 2, 6, 10, 12, 14, 20, 34,	8.7: 5, 9, 19, 33, 37, 51
R4		Th, F	Sep 21, 22			40, 50, 54, 56(a)(bonus)


L8		M	Sep 25		9.2, 9.3 (vectors, dot product, projections)	Hw5 :
L9		W	Sep 27		9.4 (cross product), 9.5 (equations of lines and planes I)	9.2: 18, 32	9.2: 31	5
R5		Th, F	Sep 28, 29			9.3: 8, 18, 20, 26, 45	9.3: 7, 19, 25
						9.4: 6, 8, 10, 18, 26, 28(bonus)	9.4: 1, 2, 3, 7, 9, 17, 25

L10		M	Oct 2		Review session 1 (8.1--8.7)	Hw6		6
Qz1		T	Oct 3		Quiz 1: sections 8.1-8.7 [Solutions] .	9.5: 2, 4, 6, 10, 14, 18, 22,	9.5: 5, 7, 13, 17, 25, 33, 41
					Quiz 1: RA, RB, and RC in K228; RD in P120; RE and RF in P116.	26, 34, 42, 54(bonus)
L11		W	Oct 4		9.5 (equations of lines and planes II)
R6		Th, F	Oct 5, 6

--		M	Oct 9		*Fall recess*	Hw7 :		7
L12		Tu	Oct 10		10.1, 10.2 (vector functions and space curves)	10.1: 14, 17-22, 38	10.1: 37
L13		W	Oct 11		10.3, 10.4 (arc length and motion)	10.2: 18, 20, 25, 28, 36	10.2: 17, 19, 27, 35
R7		Th, F	Oct 12, 13			10.3: 2, 4, 12(b)	10.3: 1, 7, 11(b)
						10.4: 10, 14	10.4: 13

L14		M	Oct 16		9.6, 11.1, 11.2 (functions of several variables)	Hw8 :		8
L15		W	Oct 18		11.3, 11.4 (differentials)	9.6: 8, 20, 32, 34	9.6: 19
R8		Th, F	Oct 19, 21			11.1: 6, 10, 16, 31-36	11.1: 15;
						11.2: 6, 8, 16	11.2: 5, 7
						11.3: 6, 8, 14, 22, 38, 48, 50	11.3: 13, 15, 37, 47



L16		M	Oct 23		11.5 (chain rule, implicit differentiation)	Hw9 :		9
L17		W	Oct 25		11.6 (directional derivatives and gradients)	11.4: 4, 29, 36, 38	11:4: 3, 27, 37
R9		Th, F	Oct 26, 27			11.5: 4, 8, 10, 20, 24, 28, 44 (bonus)	11.5: 19, 23

L18		M	Oct 30		Review session II [ Typical problems with hints ]	Hw10 :		10
Qz2		T	Oct 31		Quiz 2: sections 9.2-9.5, 10.1-10.4 [Solutions]	11.6: 6, 10, 14, 16, 22, 36	11.6: 9, 21, 35
					RA, RB, and RC in K228; RD in P120; RE and RF in P116.	11.7: 2, 3, 4, 8, 16, 26, 28, 36, 40, 48, 50 (bonus)	11.7: 7, 15, 25, 35
L19		W	Nov 1		11.7 (extremum of functions of several variables)
R10		Th, F	Nov 2, 3

L20		M	Nov 6		11.8 (Lagrange multipliers)	Hw11 :		11
L21		W	Nov 8		12.1, 12.2 (double integrals over rectangles)	11.8: 4, 6, 10, 12, 18	11.8: 5, 9, 19, 23, 39
R11		Th, F	Nov 9, 10			11.8: 22, 30, 40, 44 (bonus)

L22		M	Nov 13		12.2 (double integrals)	Hw12 :		12
L23		W	Nov 15		12.3 (double integrals in general regions I)	12.1: 8, 12	12.2: 23
R12		Th, F	Nov 16, 17			12.2: 4, 14, 22, 26	12.3: 7, 19
						12.3: 8, 10, 12, 24, 26	12.4: 7, 13, 23

L24		M	Nov 20		H.1, 12.4 (double integrals in polar coordinates)	Hw13 :		13
--		W	Nov 22		*Thanksgiving recess*	12.3: 34, 36, 38, 40, 42, 50
--		Th, F	Nov 25, 26		*Thanksgiving recess*	H1: 18, 28, 42	no recitation classes
						12.4: 8, 10, 14, 18, 26, 32(bonus)

L25		M	Nov 27		Review session III	Hw14 (due 12/7-8) :		14
Qz3		T	Nov 28		Quiz 3: sections 11.1-11.8, 12.1-12.3 [Solutions] .	12.3: 45, 46	H1: 9, 17, 25, 41
					Quiz 3: RA, RB, and RC in K228; RD in P120; RE and RF in P116.	12.4: 12, 20, 28, 30	12.4: 11, 15, 25
L26		W	Nov 29		12.4 (double integrals in general regions II)	12.5: 2, 4, 14
R13		Th, F	Nov 30, Dec 1

L27		M	Dec 4		12.5 (applications of double integrals)			15
L28	W	Dec 6	Review		12.5: 1, 3, 7, 11, 13
R14	Th, F	Dec 7, 8

			*Final Exam.*

Rev	M	Dec 11	Review: December 12, 9am-12pm, K228.

Fin	W	Dec 13	Final: Cumulative Exam, 8:00-12:00	8:00-12:00. A: K228; B: K228; C: E222