Calculus I Calendar MA113 Fall 2001

Text Calculus third edition, by James Stewart. Calendar The calendar below gives the dates of exams and other important deadlines for the course. Students should master all of the unstarred problems on this list. The problems marked by *’s are particularly interesting.

Wed, 22 Aug Preview and review §1 #77-82, §2 #3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25,

27^{∗}

Fri, 24 Aug Trigonometry review, Appendix D #1, 3, 5, 7, 9, 11, 29, 31, 33, 35, 37, 43,

45, 47, 49, 53, 83^{∗},85^{∗}

Mon, 27 Aug The tangent and velocity problems, §1.1 #3, 5, 7
Wed, 29 Aug The limit of a function, §1.2 #1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 25, 27, 28, 29

Fri, 31 Aug Calculating limits using the limit laws, §1.3 #1, 3, 5, 7, 13, 15, 17, 19, 27,

29, 33, 39, 59, 61, 75^{∗}, 76^{∗}, 78^{∗}

Mon, 3 Sep Labor day
Wed, 5 Sep The precise definition of a limit, §1.4 #1, 3, 5, 7, 11, 13, 15, 21, 27, 35
Fri, 7 Sep Continuity, §1.5 #1, 3, 9, 13, 15, 17, 31, 33, 37, 39, 45, 47, 49, 59^{∗}, 60^{∗}
Mon, 10 Sep Tangents velocities and other rates of change, §1.6 #1, 5, 7, 11, 13, 15, 17

Wed, 12 Sep Derivatives, §2.1 #1, 3, 5, 7, 11, 13, 15, 23, 31, 33, 34, 35, 37, 39, 44, 45, 53, 55, 59^{∗}, 60^{∗}, 61^{∗} Last day to drop

Fri, 14 Sep Review
Mon, 17 Sep Review
Tue, 18 Sep First exam, 7:30pm-9:30pm, room TBA
Wed, 19 Sep Differentiation formulas, §2.2 §1-34 (Learn to differentiate!), 37, 41, 43, 45.
Fri, 21 Sep Rates of change in the natural and social sciences, §2.3 #1, 3, 5, 7, 9, 11, 13

Mon, 24 Sep Derivatives of trigonometric functions, §2.4 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19,

21, 23, 25, 27, 33, 35, 37, 43, 45, 47, 53^{∗}, 55

Wed, 26 Sep The chain rule, §2.5 1-47 (odds) 49, 51, 67, 69, 71^{∗}, 72^{∗}, 73^{∗}
Fri, 28 Sep Implicit differentiation, §2.6 #1, 3, 5, 7, 9, 11, 21, 23, 25, 31, 35, 41, 43, 45
Mon, 1 Oct Higher derivatives, §2.7 #1, 3, 5, 7, 23, 25, 27, 29, 31^{∗}41, 43
Wed, 3 Oct Related rates, §2.8 #1, 3, 5, 7, 9, 11, 13, 15, 23, 27, 31
Fri, 5 Oct Fall break
Mon, 8 Oct Differentials, §2.9 #31, 33, 35, 37, 39, 41, 45, 47, 51^{∗}, 54
Wed, 10 Oct Newton’s method, §2.10 #1, 2, 3, 13, 23, 25, 31^{∗}
Fri, 12 Oct Review
Mon, 15 Oct Review
Tue, 16 Oct Second exam, 7:30pm-9:30pm, room TBA

Wed, 17 Oct Maximum and minimum values, §3.1, #1, 3, 5, 7, 9, 11, 13,

15, 21, 29, 31, 33, 35, 37, 39, 45, 47, 49, 51, 62, 63, 67, 69

Fri, 19 Oct Last day to withdraw

Mon, 22 Oct The mean value theorem, §3.2 #1, 7, 17, 19, 21, 23^{∗}, 24, 25,

27, 31, 33, 35

Wed, 24 Oct Monotonic functions and the first derivative test, §3.3 #1, 3,

5, 7, 17, 23, 27, 31, 33, 35, 37, 39, 41, 43, 47^{∗}, 49^{∗}

Fri, 26 Oct Concavity and points of inflection, §3.4 #1, 3, 5, 7, 9, 13, 17,

21, 23, 25, 27, 31^{∗}, 32, 35, 39^{∗}, 40

Mon, 29 Oct Limits at infinity, horizontal asymptotes, §3.5 #1, 3, 5, 7, 9,

11, 17, 19, 21, 23, 33, 41, 43, 53, 55, 61, 65, 66

Wed, 31 Oct Curve sketching, §3.6 #1, 3, 5, 11, 13, 31, 35

Fri, 2 Nov Applied maximum and minimum problems, §3.8 #1, 3, 5, 7,

9, 11, 13, 15, 17, 19, 21, 23, 29, 33, 35

Mon, 5 Nov §3.8, continued

Wed, 7 Nov Anti-derivatives, §3.10 #1, 3, 5, 7, 15, 17, 19, 21, 23, 27, 37,

39, 43, 49, 55, 59^{∗}, 63, 65, 67^{∗}

Fri, 9 Nov Review
Mon, 12 Nov Review
Tue, 13 Nov Third exam, 7:30pm-9:30pm, room TBA

Wed, 14 Nov Sigma notation, §4.1 #1, 3, 11, 13, 19, 21, 23, 37, 39, 41, 47^{∗},

53^{∗}, Mathematical induction, Appendix E #1, 7, 9

Fri, 16 Nov Area, §4.2 #1, 3, 9, 11, 13, 23, 25^{∗}, 26^{∗}

Mon, 19 Nov The definite integral, §4.3 #1, 3, 15, 16, 17, 23, 25, 27, 31,

33, 35, 39, 41, 45, 47, 55, 57, 59

Wed, 21 Nov The fundamental theorem of calculus, §4.4 #5, 7, 9, 17, 19, 21, 23, 25, 27, 29, 31, 41, 43, 45, 59, 61, 63, 65, 69, 71, 81, 82, 83a,b,c^{∗}, 87, 89

22-23 Nov Thanksgiving holiday
Mon, 26 Nov Fundamental theorem, continued

Wed, 28 Nov The substition rule, §4.5 #1, 3, 5, 7, 9, 11, 39, 41, 43, 53, 55,

63, 65, 67

Fri, 30 Nov Areas between curves, §5.1 #1, 5, 7, 9, 13, 15, 17, 19, 25, 29,

33, 45^{∗}, 49

Mon, 3 Dec {Volume, §5.2 #1, 3, 5, 7, 13, 15, 17, 19, 25, 27, 33, 35, 47, \atop 49, 51, 52, 61, 68}

Wed, 5 Dec Volume by cylindrical shells, §5.3 #1, 3, 9, 15, 17, 19, 25, 33,

39, 41, 42

Fri, 7 Dec Review
Thu, 13 Dec Final exam, 6-8pm, room TBA