Previous Weeks in Math 180 D

This file will contain the week-to-week reading and lecture schedules.  At the end of the week the "this week" will be modified to reflect what actually happened and will be appended to this file.

Week 1:  Monday, August 30

• Topics:
  • The basics 
• Reading:
• 1.1 - 1.4
• Please also read http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/The_rise_of_calculus.html (from the St. Andrews History of Mathematics web page).

Monday:

• Introduction to the course

Tuesday:

• Functions
• Domain and range
• Graphing

Thursday:

• Linear functions
• A survey of basic functions (continued)
• Operations on functions

Friday:

• Operations on functions
• Radian measure

Other Notes:

• Classes begin Monday, August 30
• Office hours begin next week
• Next Monday, September 6, is Labor Day (no classes of office hours

Week 2: Monday, September 6

• Topics:
  • More basic functions
  • Limits and continuity  
• Reading:
• 1.3 -  1.5
• 2.1 - 2.1

Monday:

• Monday is Labor Day:  No classes or office hours

Tuesday:

• Trig functions (1.3)

Thursday:

• Trig functions (1.3)
• Exponential functions (1.4)
• Inverse functions

Friday:

• Inverses and logarithmic functions (1.4, 1.5)

Other Notes:

• Monday, September 6, is Labor Day (no classes of office hours)
• Office hours resume Tuesday
• Next Monday, September 13, is the last day to drop without record.

Week 3: Monday, September 13

• Topics:
  • Limits and continuity  
• Reading:
• 2.1 - 2.3

Monday:

• Rates of change and tangents to curves (2.1)

Tuesday:

• Limit of a function and limit laws (2.2)

Thursday:

• Limit of a function and limit laws (2.2)

Friday:

• The formal definition of a limit (2.3)

Other Notes:

• Monday, September 13, is the last day to drop without record
• Hour exam #1 will be next Friday, September 24

Week 4: Monday, September 20

• Topics:
  • Limits and continuity  
  • Derivatives
• Reading:
• 2.4- 3.2

Monday:

• One-sided limits and limits at infinity (2.4)
• Infinite limits and asymptotes (2.5)

Tuesday:

• Asymptotes

Thursday:

• Asymptotes
• Review for first hour exam

Friday:

Other Notes:

• Hour exam #1 will be this Friday, September 24

Week 5: Monday, September 27

• Topics:
  • Continuity
  • Derivatives
• Reading:
• 2.6 - 2.7
• See also the sandwich theorem (pp 69-70) and limits involving sin(x)/x (pages 88 - 89)

Monday:

• Problems on pages 80 - 81

Tuesday:

• Exam 1 returned and discussed
• An introduction to continuity (2.6)

Thursday:

• An introduction to continuity (2.6)
• The intermediate value theorem
• Solving equations using the method of bisection

Friday:

• Rates of change and tangents at a point (2.7)

Other Notes:

• Hour exam #2 will be Friday, October 22

Week 6: Monday, October 4

• Topics:
  • Derivatives
• Reading:
• 3.1 - 3.4
• See also the sandwich theorem (pp 69-70) and limits involving sin(x)/x (pages 88 - 89)

Monday:

• No class - instructor ill

Tuesday:

• The derivative as a function (3.1)
• Homework discussion

Thursday:

• Derivatives of basic functions (3.2)
• The derivative as a rate of change (3.3)

Friday:

• The product rule

Other Notes:

• Next Monday, October 11 is the last day to withdraw with an automatic "W"
• Hour exam #2 will be Friday, October 22 (after Fall Break)

Week 7: Monday, October 11

• Topics:
  • Derivatives
• Reading:
• 3.2 - 3.4
• See also the sandwich theorem (pp 69-70) and limits involving sin(x)/x (pages 88 - 89)

Monday:

• Quotient rule (3.2)
• Derivate as rate of change

Tuesday:

• Derivatives of trig functions (3.4)

Thursday:

• Exponential functions (3.2)
• The Chain rule (3.5)

Friday:

• Implicit differentiation (3.6)

Other Notes:

• Next Monday, October 11 is the last day to withdraw with an automatic "W"
• Hour exam #2 will be Friday, October 22 (after Fall Break)

From Week 8 through Week 10 the instructor was ill and on medical leave.  Classes were ably taught by my friend and colleague Professor Emeritus R. Bruce Lind.

Week 11: Monday, November 8

• Topics:
  • Applications of derivatives
• Reading:
• 3.10 - 4.3, skipping 3.11

Monday:

• Standard Linear Approximation
• Differentials
• The Extreme Value Theorem (4.1)

Tuesday:

• Extreme values of functions and critical points (4.1)

Thursday:

• The Mean Value Theorem and applications (4.2)

Friday:

• Monotonic functions and the first derivative test

Other Notes:

• Hour Exam #3, scheduled for this Friday, is rescheduled for Tuesday, November 16

Week 12: Monday, November 15

• Topics:
  • Applications of derivatives
• Reading:
• 4.4 - 4.5
• We will skip 4.6 and 4.7

Monday:

• Concavity and curve sketching (4.4)
• Review for exam #3

Tuesday:

Thursday:

• Concavity and curve sketching (4.4)
• Exam #3 returned and discussed

Friday:

• Applied optimization (4.5)

Other Notes:

• Hour Exam #3, scheduled for last Friday, is rescheduled for this Tuesday, Novemb
• Thursday and Friday of next week are part of Thanksgiving Break (no classes or office hours)

Week 13: Monday, November 22

• Topics:
  • Integration
• Reading:
• 4.8
• 5.1 - 5.2

Monday:

• Antiderivatives (4.8)

Tuesday:

• Snow day - campus closed (no classes or office hours)

Thursday:

• Thanksgiving Break

Friday:

• Thanksgiving Break

Other Notes:

• Thursday and Friday are Thanksgiving Break (no classes or office hours)
• Hour exam will be next Friday, December 3.  Please note that this is in the last full week of the term.

Week 14: Monday, November 29

• Topics:
  • Integration
• Reading:
• 5.1 - 5.4

Monday:

• Estimating with Finite Sums (5.1)
• Sigma notation and Limits of Finite Sums (5.2)

Tuesday:

• The definite integral (5.3)

Thursday:

• The fundamental theorem of calculus (5.4)
• Review for Hour Exam #4

Friday:

Other Notes:

• Hour exam will be this Friday, December 3.  Please note that this is in the last full week of the term.