Previous Weeks in Math 180

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, September 1

  • Topics:
    • Introduction and review  
  • Reading:
    • 1.1 - 1.3

Monday:

  • Labor Day (no classes or office hours)

Tuesday:

  • Introduction to the course

Thursday:

  • Functions

Friday:

  • A survey of basic functions
  • Graphing with Mathematica

Other Notes:

  • Monday is Labor Day (no classes or office hours)
  • Classes begin Tuesday, September 2
  • Office hours begin next week

Week 2: Monday, September 8

  • Topics:
    • Limits and continuity  
  • Reading:
    • 1.3 -  1.5

Monday:

  • Discussion of assigned problems.
  • Trig functions (1.4)

Tuesday:

  • Trig functions (1.4)
  • Exponential functions

Thursday:

  • Inverse functions and logarithms(1.5)

Friday:

  • No class - instructor ill

Other Notes:

  • Office Hours begin this week
  • Next Monday is the last day to drop without record

Week 3: Monday, September 15

  • Topics:
    • Limits and continuity  
  • Reading:
    • 1.5, 2.3 - 2.6

Monday:

  • Questions on homework
  • Tangents, rates of change (2.1)
  • Inverse trig functions (briefly - 1.5) will be covered as we need it later.
  • No office hours today (Departmental obligations)

Tuesday:

  • Limit of a function (2.2)
  • No office hours today (Departmental obligations)

Thursday:

  • Limit of a function (2.2)
  • The formal definition of a limit (2,3)

Friday:

  • Limit of a function (2.2)
  • The formal definition of a limit (2,3)

Other Notes:

  • Monday is the last day to drop without record
  • Hour Exam #1 will be next Friday (September 26)
  • For some insight on how a very early student of mathematics would study this material, google A treatise on Fluxions (by Samuel Vince (A.M. F. R.S)). and A treatise of Fluxions (by Charles Hayes, Gent.)  Both are available on-line through Google Books (books.google.com).  The Vince book was published in the early 1800's, and the Hayes book in 1704,

Week 4: Monday, September 22

  • Topics:
    • Limits and continuity  
  • Reading:
    • 2.4 - 2.5

Monday:

  • Homework questions
  • One-sided limits (2.4)

Tuesday:

  • Using the formal definition (2.3)
  • Limits at infinity (2.4)
  • Infinite limits and horizontal, vertical and oblique asymptotes (2.5)

Thursday:

  • Infinite limits and horizontal, vertical and oblique asymptotes (2.5)
  • Review for Exam #1

Friday:

  • Hour Exam #1

Other Notes:

  • Hour Exam #1 will be this Friday (September 26)

Week 5: Monday, September 29

  • Topics:
    • Limits and continuity  
  • Reading:
    • 2.5 - 3.5

Monday:

  • Oblique asymptotes (2.5)

Tuesday:

  • Continuity (2.6)

Thursday:

  • The method of bisection (2.6)
  • Tangents and derivatives at a point (2.7)

Friday:

  • The derivative as a function (3.1)
  • Exam #1 returned and discussed

Other Notes:

  • The next hour exam will be Friday, October 24

Week 6: Monday, October  6

  • Topics:
    • Differentiation 
  • Reading:
    • 3.1 - 3.4

Monday:

  • The derivative as a function (3.1)
  • Differentiation rules (3.2)

Tuesday:

  • The product and quotient rules (3.2)

Thursday:

  • Rates of change (3.3)

Friday:

  • The "Sandwich Theorem" (2.2) and its application to the derivatives of trigonometric functions (3.4)

Other Notes:

  • Next Monday, October 13, is the last day to withdraw with an automatic "W".  Please review the University's add/drop policy in the Academic Handbook (the Logger)
  • The next hour exam will be Friday, October 24

Week 7: Monday, October  13

  • Topics:
    • Differentiation 
  • Reading:
    • 3.4 - 3.10

Monday:

  • Derivatives of the remaining trig functions (3.4)
  • The chain rule (3.5)

Tuesday:

  • The chain rule (3.5)
  • Implicit differentiation (3.6)

Thursday:

  • Parametric equations (3.6)
  • Application of the chain rule and implicit differentiation to inverse functions (3.7)

Friday:

  • Inverse trigonometric functions and their derivatives (3.8)

Other Notes:

  • This Monday, October 13, is the last day to withdraw with an automatic "W".  Please review the University's add/drop policy in the Academic Handbook (the Logger)
  • The next hour exam will be next Friday, October 24

Week 8: Monday, October  20

  • Topics:
    • Differentiation 
  • Reading:
    • 3.8 - 3,9

Monday:

  • Fall Break Days (no classes or office hours)

Tuesday:

  • Fall Break Days (no classes or office hours)

Thursday:

  • Inverse trigonometric functions and their derivatives (ArcTan) (3.8)
  • Review for Hour Exam #2

Friday:

  • Hour Exam #2

Other Notes:

  • The next hour exam will be this Friday, October 24

Week 9: Monday, October  27

  • Topics:
    • Applications of derivatives 
  • Reading:
    • 3.9 - 4.2

Monday:

  • Related Rates (3.9)

Tuesday:

  • Linearization and differentials (3.10)
  • Hyperbolic functions (3.11)

Thursday:

  • Hyperbolic functions (3.11)
  • Extreme values of functions (4.1)

Friday:

  • No class - household emergency (broken furnace)

Other Notes:

  • The next hour exam will be Friday, November 14.

Week 10: Monday, November  3

  • Topics:
    • Applications of derivatives 
  • Reading:
    • 4.1 - 4.4

Monday:

  • Maxima and minima (4.1)
  • Exam #2 returned and discussed

Tuesday:

  • Maxima and minima (4.1)
  • The Mean Value Theorem (4.2)

Thursday:

  • Applications of the Mean Value Theorem (MVT)

Friday:

  • Monotonic functions
  • The first derivative test (4.3)
  • Applications of the derivative to curve sketching (4.4)

Other Notes:

  • The next hour exam will be next Friday, November 14.

Week 11: Monday, November  10

  • Topics:
    • Applications of derivatives 
  • Reading:
    • 4.3 - 4.5

Monday:

  • The first derivative test (4.3)

Tuesday:

  • Applications of the derivative to curve sketching (4.4)

Thursday:

  • Applied optimization (4.5)
  • Review for exam #3

Friday:

  • Hour exam #3

Other Notes:

  • The next hour exam will be this Friday, November 14.

Week 12: Monday, November  17

  • Topics:
    • Applications of derivatives 
  • Reading:
    • 4.5 - 5.1

Monday:

  • Applied Optimization (4.5)
  • Indeterminate forms and L'Hôpital's rule

Tuesday:

  • Newton's method (4.6) and the method of bisection

Thursday:

  • Antiderivatives (4.8)
  • Return of exam #3 - notes

Friday:

  • Antiderivatives (4.8)
  • Estimating with finite sums (5.1)

Other Notes:

  • The next hour exam will be Friday, December 5.  Please note that this is in the last full week of classes.
  • Next week is Thanksgiving! (we meet Monday and Tuesday only)

 

Week 13: Monday, November  24

  • Topics:
    • Integration
  • Reading:
    • 5.1 - 5.3

Monday:

  • Summation notation and limits of sums (5.2)

Tuesday:

  • No class - Memorial service for Doug Edwards

Thursday:

  • Thanksgiving break

Friday:

  • Thanksgiving break

Other Notes:

  • The next hour exam will be next Friday, December 5.  Please note that this is in the last full week of classes.
  • December 9 is the last class meeting for us.  No work can be accepted past 5:00 Wednesday, December 10.

 

Week 14: Monday, December 1

  • Topics:
    • Integration
  • Reading:
    • 5.2 - 5.5

Monday:

  • Summation notation and limits of sums (5.2)
  • The definite integral (5.3)

Tuesday:

  • Questions
  • Some properties of the definite integral (5.3)

Thursday:

  • Some properties of the definite integral (5.3)
  • Review for exam #4

Friday:

  • Hour Exam #4

Other Notes:

  • The next hour exam will be this Friday, December 5.  Please note that this is in the last full week of classes.
  • December 9 is the last class meeting for us.  No work can be accepted past 5:00 Wednesday, December 10.
  • The final exam for Math 180 F is scheduled for Monday, Dec. 15, from 4:00 PM  - 6:00 PM..  It will be a mandatory, two-hour, in class, comprehensive exam. University regulations require that all students take the final exam at this date and time.

 

 

 

 

 

 

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