Calculus I Calendar MA113 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 and preview §1 #77-82, §2 #3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25,

27^{∗}

Fri, 11 Jan §1.1 The tangent and velocity problems, §1.1 #3, 5, 7

Mon, 14 Jan §1.2 The limit of a function, §1.2 #1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 25, 27,

28, 29

Wed, 16 Jan §1.3 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^{∗}

Fri, 18 Jan §1.3 Continued, §1.4 The rigorous definition of a limit (lightly).
Mon, 21 Jan Martin Luther King, Jr. holiday
Wed, 23 Jan §1.5 Continuity, §1.5 #1, 3, 9, 13, 15, 17, 31, 33, 37, 39, 45, 47, 49, 59^{∗}, 60^{∗}

Fri, 25 Jan §1.6 Tangents velocities and other rates of change, §1.6 #1, 5, 7, 11, 13, 15,

17

Mon, 28 Jan §2.1 Derivatives, §2.1 #1, 3, 5, 7, 11, 13, 15, 23, 31, 33, 34, 35, 37, 39, 44,

45, 53, 55, 59^{∗}, 60^{∗}, 61^{∗}

Wed, 30 Jan §2.2 Differentiation formulas, §2.2 # 1-34 (Learn to differentiate!), 37, 41, 43, 45, 47, 49, 55, 57, 63, 71, 74^{∗}, 76^{∗}. 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 §2.3 Rates of change in the natural and social sciences, §2.3 #1, 3, 5, 7, 9,

11, 13

Fri, 8 Feb Appendix D, Trigonometry review #1, 3, 5, 7, 9, 11, 29, 31, 33, 35, 37, 43,

45, 47, 49, 53, 83^{∗},85^{∗}

Mon, 11 Feb §2.4 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, 13 Feb §2.5 The chain rule, §2.5 1-47 (odds) 49, 51, 67, 69, 71^{∗}, 72^{∗}, 73^{∗}
Fri, 15 Feb Implicit differentiation, §2.6 #1, 3, 5, 7, 9, 11, 21, 23, 25, 31, 35, 41, 43, 45

Mon, 18 Feb §2.7 Higher derivatives, §2.7 #1, 3, 5, 7, 23, 25, 27, 29, 31^{∗}41, 43, 47, 49,

52^{∗}, 53

Wed, 20 Feb §2.8 Related rates, §2.8 #1, 3, 5, 7, 9, 11, 13, 15, 23, 27, 31
Fri, 22 Feb Related rates, continued
Mon, 25 Feb §2.9 Linear approximations , §2.9 #31, 33, 35, 37, 39, 41, 45, 47, 51^{∗}, 54
Wed, 27 Feb §2.10 Newton’s method, §2.10 #1, 2, 3, 13, 23, 25, 31^{∗}
Fri, 1 Mar Review
Mon, 4 Mar Review
Tue, 5 Mar Second exam, 7:30pm-9:30pm, room TBA

Wed, 6 Mar §3.1 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, 8 Mar §3.2 The mean value theorem, §3.2 #1, 7, 17, 19, 21, 23^{∗}, 24, 25, 27, 31, 33, 35 Last day to withdraw

11–15 Mar Spring break

Mon, 18 Mar §3.3 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^{∗}

Wed, 20 Mar §3.4 Concavity and points of inflection, §3.4 #1, 3, 5, 7, 9,

13, 17, 21, 23, 25, 27, 31^{∗}, 32, 35, 39^{∗}, 40

Fri, 22 Mar §3.5 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

Mon, 25 Mar §3.6 Curve sketching, §3.6 #1, 3, 5, 11, 13, 31, 35

Wed, 27 Mar §3.8 Applied maximum and minimum problems, §3.8 #1, 3,

5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29, 33, 35, 43, 44.

Fri, 29 Mar §3.8, continued
Sun, 31 Mar Sir Isaac Newton died, 27 March 1727

Mon, 1 Apr §3.10 Anti-derivatives, §3.10 #1, 3, 5, 7, 15, 17, 19, 21, 23,

27, 37, 39, 43, 49, 55, 59^{∗}, 63, 65, 67^{∗}

Wed, 3 Apr §4.1 Sigma notation, §4.1 #1, 3, 11, 13, 19, 21, 23, 37, 39,

41, 47^{∗}, 53^{∗}, Mathematical induction, Appendix E #1, 7, 9

Fri, 5 Apr Review
Mon, 8 Apr Review
Tue, 9 Apr Third exam, 7:30pm-9:30pm, room TBA
Wed, 10 Apr §4.2 Area, §4.2 #1, 3, 9, 11, 13, 23, 25^{∗}, 26^{∗}

Fri, 12 Apr §4.3 The definite integral, §4.3 #1, 3, 15, 16, 17, 23, 25, 27,

31, 33, 35, 39, 41, 45, 47, 55, 57, 59

Mon, 15 Apr §4.4 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

Wed, 17 Apr §4.5 The substition rule, §4.5 #1, 3, 5, 7, 9, 11, 39, 41, 43,

53, 55, 63, 65, 67

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

29, 33, 45^{∗}, 49

Mon, 22 Apr {§5.2 Volume, §5.2 #1, 3, 5, 7, 13, 15, 17, 19, 25, 27, 33, 35, \atop 47, 49, 51, 52, 61, 68}
Wed, 24 Apr Review
Fri, 26 Apr Review
Mon, 29 Apr Final exam, 8:30–10:30pm, room TBA