Syllabus and Homework Assignments
Winter 2009



Jump to Week 1| Week 2|Week 3|Week 4|Week 5|Week 6|Week 7|Week 8|Week 9|Week 10 |

The syllabus and homework assignments may be slightly changed during the course of the term. Please check before doing the homework.

Week 1

January 5
  • Read Sections 1.1 (up to piecewise defined functions, p. 17) and 2.1: Functions and Models, Tangent and Velocity Problems
  • Do problems: p. 20 # 23, 30, 39, 43, 53, 57; p. 65 # 3, 5
January 7
  • Read Section 2.2: The Limits of a Function
  • Do problems: p. 74 # 4, 9, 12, 15, 27, 28, 29, 34
January 9
  • Read Sections 2.3: Calculating Limits
  • Do problems: p. 84 # 1, 5, 19, 14, 20, 29, 35, 43
Week 2

January 12
  • Read Section 2.5: Continuity
  • Do problems: p. 105 # 3, 11, 18, 25, 32, 35, 40, 43a, 47
January 14
  • Read Section 3.1: Derivatives and Rates of Change
  • Do problems: p. 119 # 6, 7, 11, 14, 18, 26, 30
January 16
  • Read 3.2: The Derivative as a Function
  • Do problems: p. 131 # 3, 7, 14, 19, 26, 30, 41
Week 3

January 19
  • Martin Luther King, Jr. Day - NO CLASS
  • Classes moved to x-hour
January 21
  • Read Section 3.3: Differentiation Formulas
  • Do problems: p. 144 # 20, 25, 29, 43, 53, 61, 73, 75, 86
January 22
  • X-hour: Thursday, 12:00 - 12:50
  • Read Section 3.4: Derivatives of Trigonometric Functions
  • Do problems: p. 154 # 9, 13, 15, 24, 35, 37, 40, 51 (assignment due on Monday, January 26)
January 23
  • Read Section 3.5: The Chain Rule
  • Do problems: p. 161 # 5, 11, 15, 45, 59, 76, 80, 83
Week 4

January 26
  • Read Section 3.6, 3.7: Implicit Differentiation, Rates of Change (Read pp. 170 -171, p. 179 & Examples 1, 2, 5, 8)
  • Do problems: p. 169 # 7, 14, 27; p. 179 #9, 13ab, 17, 21, 27
January 28
  • Read Section 4.1: Maxima and Minima
  • Do problems: p. 211 # 4, 31, 35, 47, 52, 55, 65, 68
January 28
  • FIRST MIDTERM EXAM, 5:00 - 7:00 pm, Carpenter 013
January 30
  • Read Section 4.2: The Mean Value Theorem
  • Do problems: p. 219 # 3, 11, 14, 15, 19, 23
Week 5

February 2
  • Read Sections 4.3 and 4.5: How Derivatives Affect the Shape of a Curve, Curve Sketching (Skip Slant Asymptotes)
  • Do problems: p. 227 # 7, 11, 14, 21, 27; p. 248 # 9, 19 , 33
February 4
  • Read Section 4.7: Optimization Problems
  • Do problems: p. 263 # 17, 29, 33, 36, 46
February 6
  • Read Section 4.9: Antiderivatives
  • Do problems: p. 279 # 12, 35, 41, 55, 60, 66
Week 6

  • No class on Friday, February 13. Classes moved to x-hour
February 9
  • Read Section 5.1: Areas and Distances
  • Do problems: p. 298 # 2, 6ab, 17, 19, 22
February 11
  • Read Section 5.2: The Definite Integral
  • Do problems: p. 310: 5, 23, 27, 34c, 47, 53 (Due 2/13)
February 12
  • X-hour, Thursday, 12:00 - 12:50
  • Read Sections 5.3: The Fundamental Theorem of Calculus
  • Do problems: p. 321 # 10, 29, 40, 45, 51 (Due 2/16)
February 13
  • Winter Carnival Holiday NO CLASS
Week 7

February 16
  • Read Section 5.4, 5.5: Indefinite Integrals, The Substitution Rule
  • Do problems: p. 329 # 11, 30, 35, 41, 57; p. 338 # 7, 21, 27, 44, 49
February 18
  • Read Sections 6.1, 6.2: Areas Between Curves, Volumes
  • Do problems: p. 352 # 6, 8, 13, 20, 29, 31; p. 362 # 2, 5, 7, 9
February 20
  • Read Sections 6.2, 6.3: Volumes, Cylindrical Shells
  • Do problems: p. 362 # 13, 18, 35; p. 368 # 5, 7, 8, 13, 24.
  • Added Sunday, Feb. 22 at noon: Because of the exam and the cancellation of the tutorial, you do not have to hand in problems 35, 13 and 24.
February 22
  • SECOND MIDTERM EXAM, 5:00 - 7:00 pm, Carpenter 013
Week 8

February 23
  • Read Section 7.1: Inverse Functions
  • Do problems: p. 391 # 9, 24, 33, 38 - 40, 44
February 25
  • Read Section 7.2*: The Natural Logarithm (Note that this is Section 7.2* on pp. 421 - 428.)
  • Do problems: p. 428 # 4, 17, 19, 23, 35, 45, 62, 69, 70
February 27
  • Read Section 7.3* and 7.4*: The Natural Exponential Function, General Logarithms and Exponentials (Note that this is Sections 7.3* and 7.4* on pp. 430 - 435 and pp. 438 - 443 (skip p. 444).)
  • Do problems: p. 435 # 3, 8, 15, 39, 44; p.445 # 3, 9, 29, 36, 51
Week 9

  • No class on Friday, March 6. Classes moved to x-hour
March 2
  • Read Section 7.5: Exponential Growth and Decay
  • Do problems: p. 453 # 4, 9, 11, 19, 20
March 4
  • Read Section 7.6: Inverse Trigonometric Functions
  • Do problems: p. 461 # 12, 24, 31, 46, 49, 59, 63, 72
March 5
  • X-hour, Thursday, 12:00 - 12:50
  • Read Section 7.8: Indeterminate Forms and L'Hospital's Rule (up to Indeterminate Differences, p. 475)
  • Do problems: p. 478 # 7, 21, 25, 27, 34, 43
March 6
  • NO CLASS
Week 10

March 9
  • LAST CLASS
  • Questions, Discussion of Final Exam, etc.
  • FINAL EXAM: March 13, 8:00 - 11:00 am in 008 Kemeny Hall


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