Calculus II Calendar MA114 Spring 2002

Text Calculus third edition, by James Stewart, ISBN 0-534-21801-6. Calendar The calendar below gives the dates of exams and other important dates for the course. The list of problems below provide a guide to students and instructors as to the material to be covered. The problems marked by *’s are particularly interesting.

Wed, 9 Jan Review. §4.5 Subsitution rule §4.5 #39, 41, 43, 45, 47, 49, 51, 53, 55, 65.
Fri, 11 Jan §6.1 Inverse functions, §6.1 #1, 3, 7–25, 28, 37, 38.

Mon, 14 Jan §6.2 Exponential functions and their derivatives §6.2 #5–12, 17–20, 27–42,

43, 45, 49, 50, 56, 59, 67–76, 83, 84^{∗}, 85^{∗}.

Wed, 16 Jan §6.3 Logarithmic functions §6.3 #1-20, 25, 27, 29, 35, 37, 49, 59, 61, 81, 82.

Fri, 18 Jan §6.4 Derivatives of logarithmic functions #11-32, 55, 58, 67–77, 91–93, 95,

96.

Mon, 21 Jan Martin Luther King, Jr. holiday
Wed, 23 Jan §6.5 Exponential growth and decay §6.5 #1, 3, 5, 7, 9, 11, 17.

Fri, 25 Jan §6.6 Inverse trigonometric functions #1, 3, 5, 7, 13, 15, 17, 20, 22, 27–29,

30–34, 65, 66, 79–90, 93^{∗}, 94^{∗}, 95^{∗}.

Mon, 28 Jan §6.8 Indeterminate forms and L’Hopital’s rule §6.8 #1, 3, 5, 7, 9, 11, 13,

19, 21, 23, 25, 27, 29, 31, 88, 89, 91, 93, 95, 96, 99.

Wed, 30 Jan §6.8 Continued.

Last day to drop

Fri, 1 Feb Review
Mon, 4 Feb Review
Tue, 5 Feb First exam, 7:30pm-9:30pm, room TBA

Wed, 6 Feb §7.1 Integration by parts, §7.1 #1, 3, 5, 7, 9, 11, 13, 19, 21, 33, 37, 38^{∗}, 39^{∗},

40^{∗}, 41, 42, 57, 62.

Fri, 8 Feb §7.2 Trigonometric integrals, §7.2 #1–44, 48, 51, 52.
Mon, 11 Feb §7.3 Trigonometric substition, #1–28, 31, 35, 38^{∗}

Wed, 13 Feb §7.4 Integration of rational functions by partial fractions, §7.4 #1–16, 17–

54, 58–61.

Fri, 15 Feb §7.5 Rationalizing substitutions, §7.5 #1, 3, 5, 7, 9, 11, 18, 31^{∗}, 32^{∗}.
Mon, 18 Feb §7.6 Strategy for integration, #1–80.
Wed, 20 Feb §7.8 Approximate integration, §7.8 #1, 3, 5, 9, 11, 17, 19, 21, 27.
Fri, 22 Feb §7.9 Improper integrals, §7.9 # 1–25, 43, 45, 49, 51, 60^{∗}, 63, 81, 83.
Mon, 25 Feb §8.1 Differential equations, §8.1 #1, 3, 5, 11, 13, 15, 17, 29, 30, 31, 32.
Wed, 27 Feb §8.2 Arc length, 1, 3, 5, 6, 7, 29, 30, 31.
Fri, 1 Mar Review
Mon, 4 Mar Review
Tue, 5 Mar Second exam, 7:30pm-9:30pm, room TBA

Wed, 6 Mar §10.1 Sequences, §10.1 #1–11, 13–40, 47, 48, 51, 53, 55, 60^{∗}, 61^{∗}, 62^{∗}, 70^{∗}.
Fri, 8 Mar §10.2 Series, §10.2 #1–34, 37, 39, 41, 43, 45, 47, 53, 55, 54, 57^{∗}.

Last day to withdraw

11–15 Mar Spring break. Study hard!
Mon, 18 Mar §10.3 Integral test, §10.3 #1–17, 19, 23, 25, 29.
Wed, 20 Mar §10.4 Comparison tests, §10.4 #1, 3, 5, 7, 9, 11, 33, 35, 37, 39, 42*, 43*.

Fri, 22 Mar §10.5 Alternating series, §10.5 #1, 3, 5, 7, 9, 11, 17, 19, 21, 23, 33, 41, 43,

53, 55, 61, 65, 66

Mon, 25 Mar §10.6 Absolute convergence and the ratio test, §10.6 #1, 3, 5, 7, 9, 11, 13,

27, 29, 33, 35.

Wed, 27 Mar §10.8 Power series, §10.8 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 29*, 33.

Fri, 29 Mar §10.9 Representation of functions as power series, §10.9 1, 3, 5, 7, 9, 11, 13,

15, 17, 21, 23, 25, 27, 30*, 31*, 35*, 36*.

Sun, 31 Mar Sir Isaac Newton died, 31 March 1727

Mon, 1 Apr §10.10 Taylor and MacLaurin series, §10.10 #1, 3, 7, 9, 11, 17, 19, 21, 25,

26, 29, 31, 32, 33, 34, 37, 38, 45, 47, 49.

Wed, 3 Apr §10.12 Applications of Taylor polynomials, §10.12 #1, 3, 5, 9, 13, 18, 21,

23, 25, 26, 31*, 35*, 36.

Fri, 5 Apr Review
Mon, 8 Apr Review
Tue, 9 Apr Third exam, 7:30pm-9:30pm, room TBA

Wed, 10 Apr §9.1 Curves defined by parametric equations, §9.1 #1, 3, 5, 7, 9, 17, 19, 23,

25, 27, 28, 31*, 33*, 34*.

Fri, 12 Apr §9.2 Tangents and areas, #1, 3, 5, 15, 17, 23, 37*, 38*.
Mon, 15 Apr §9.3 Arc length, #1, 3, 5, 7, 9, 13, 15, 16*.
Wed, 17 Apr §9.4 Polar coordinates, §9.4 #1, 3, 5, 7, 9, 11, 13, 37, 39, 41, 51, 53, 78*.
Fri, 19 Apr §9.5 Areas in polar coordinates, #1, 3, 7, 15, 17, 19, 21, 23.
Mon, 22 Apr Review.
Wed, 24 Apr Review.
Fri, 26 Apr Review.
Thu, 2 May Final exam, 8:00–10:00am, CB234