MATH 101 Session 2010W Term 2 (Jan--Apr 2011)

COURSE OUTLINE

2010 12 08 15:45

All lecture sections of MATH 101 cover the topics listed below, but some sections may do so in a different order. A “Week” represents approximately 150 minutes of class time, not necessarily a calendar week.

Section numbers below refer to the textbook; most of Chapters 5, 6, 7, and 11 are covered, as well as parts of Chapters 8, and 9.

Note: Sections 6.3, 8.1, 8.5, 9.1, 9.2, 9.4, 9.5, 10.3, 10.4, 17.1, 17.2, and 17.3 have been included in MATH 101 in the past but are not covered this year (keep this in mind when looking at old final exams). Sections from Chapter 11 are included this year for the first time. In a nutshell, less time is spent on differential equations this year than in the past, probability and polar coordinates are not covered, but sequences and series are covered.

• Week 1
  • §5.1 Areas and Distances
  • §5.2 The Definite Integral
• Week 2
  • §5.3 The Fundamental Theorem of Calculus
  • §5.4 Indefinite Integrals and the Net Change Theorem
  • §5.5 The Substitution Rule
• Week 3
  • §6.1 Areas Between Curves
  • §6.2 Volumes
• Week 4
  • §6.4 Work
  • §6.5 Average Value of a Function
  • §7.1 Integration by Parts
• Week 5
  • Midterm Test (50 minutes)
  • §7.2 Trigonometric Integrals
  • §7.3 Trigonometric Substitution
• Week 6
  • §7.4 Integration of Rational Functions by Partial Fractions (ignore “CASE IV: Q(x) contains a repeated irreducible quadratic factor”)
  • §7.5 Strategy for Integration
  • §7.8 Improper Integrals
• Week 7
  • §8.3 Applications to Physics and Engineering (ignore the Theorem of Pappus)
  • §9.3 Separable Equations
• Week 8
  • §11.1 Sequences (ignore Definitions 2 and 5, Example 5, proof of Monotonic Sequence Theorem, Example 13)
  • §11.2 Series
• Week 9
  • §11.3 The Integral Test and Estimates of Sums (ignore “Proof of the Integral Test”)
  • §11.5 Alternating Series
• Week 10
  • Midterm Test (50 minutes)
  • §11.6 Absolute Convergence and the Ratio and Root Tests (ignore the Root Test)
  • §11.8 Power Series
• Week 11
  • §11.9 Representations of Functions as Power Series
  • §11.10 Taylor and Maclaurin Series
• Week 12
  • §7.7 Approximate Integration
  • Review