Previous Weeks in Math 180 A

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, January 18

• 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:

• Martin Luther King Day - no classes or office hours

Tuesday:

• Introduction to the course

Thursday:

• Functions
• Domain and range
• graphing
• linear functions

Friday:

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

Other Notes:

• Monday is Martin Luther King Day (no classes or office hours)
• Office hours begin next week

Week 2: Monday, January 25

• Topics:
  • More basic functions
  • Limits and continuity   A
• Reading:
• 1.4 -  1.5
• 2.1 - 2.1

Monday:

• Trig functions (1.4)
• Graphing with Mathematica

Tuesday:

• Trig functions (1.4)
• Exponential, inverse, and logarithmic functions (1.4, 1.5)

Thursday:

• Exponential, inverse, and logarithmic functions (1.4, 1.5)
• Logarithmic functions (1.5)

Friday:

• Rates of change and tangents to curves (2.1)

Other Notes:

• Office Hours begin this week  Office hours will be 11:00 - 11:50 MTThF
• Next Monday (February 1) is the last day to drop without record

Week 3: Monday, February  1

• Topics:
  • Limits and continuity
• Reading:
• 2.1 - 2.6

Monday:

• Rates of change and tangents to curves (2.1)
• The informal definition of a limit and some limit laws (2.2)

Tuesday:

• The informal definition of a limit and some limit laws (2.2)

Thursday:

• The precise definition of a limit (2.3)
• One-sided limits and limits at infinity (2.4)
• Asymptotes of various kinds (2.5)

Friday:

• The precise definition of a limit (2.3)
• One-sided limits (2.4)

Other Notes:

• Monday (February 1) is the last day to drop without record
• Hour Exam #1 will be next Friday (Feb, 12)

Week 4: Monday, February  8

• Topics:
  • Limits and continuity
• Reading:
• 2.4 - 2.7

Monday:

• One-sided limits and limits at infinity (2.4)
• Asymptotes of various kinds (2.5)

Tuesday:

• Asymptotes of various kinds (2.5)

Thursday:

• Continuity (2.6)
• Review for Hour Exam #1

Friday:

Other Notes:

• Hour exam #1 is this Friday (February 12)
• I will not be able to meet Math 180 A next Monday (guest lecturer in Neuroscience 201 A)

Week 5: Monday, February  15

• Topics:
  • Limits and continuity
• Reading:
• 2.6 - 3.1

Monday:

• No class (guest lecturer in Neuroscience 201 A)
• I will hold a problem session in the 10:00 section (same room)

Tuesday:

• Exam #1 returned and discussed

Thursday:

• The Intermediate Value Theorem for continuous functions.
• Applications of continuity:  Method of bisection (2.6)

Friday:

• Tangents and derivatives at a point (2.7)
• The derivative as a function (3.1)

Other Notes:

• I will not be able to meet Math 180 A this Monday (guest lecturer in Neuroscience 201 A)

Week 6: Monday, February  22

• Topics:
  • The derivative
• Reading:
• 3.1 -3.5
• See also the sandwich theorem (pp 69-70) and limits involving sin(x)/x (pages 88 - 89)

Monday:

• The derivative as a function (3.1)
• Differentiation Rules for a variety of functions (3.2)

Tuesday:

• Differentiation Rules for a variety of functions (3.2)

Thursday:

• Continuity and differentiability
• The derivative as a rate of change (3.3)

Friday:

• The derivative of trigonometric functions (3.4 and  the additional readings above)

Other Notes:

• Hour exam #2 will be next Friday, March 5
• Monday, March 1 is the last day to withdraw with an automatic "W"

Week 7: Monday, March 1

• Topics:
  • The derivative
• Reading:
• 3.5 - 3.7

Monday:

• The chain rule (3.5)
• Parametric equations
• Happy St. David's Day!

Tuesday:

• Implicit differentiation (3.6)
• No office hours Tuesday

Thursday:

• Implicit differentiation (3.6)
• Review for Exam #2

Friday:

• Hour Exam #2

Other Notes:

• Hour exam #2 will be this Friday, March 5
• Monday, March 1 is the last day to withdraw with an automatic "W"
• There will be no class Friday, March 12 (Columbia History of Science Seminar)

Week 8: Monday, March 8

• Topics:
  • The derivative
• Reading:
• 3.7 -3.8

Monday:

• Exam #2 returned and discussed

Tuesday:

• Derivatives of inverse functions and logarithms (3.7)
• Inverse Trigonometric functions (3.8)

Thursday:

• Inverse Trigonometric functions (3.8) (to be continued Monday)

Friday:

• No class or office hours (Columbia History of Science Seminar)

Other Notes:

• Friday is Mid-term (not an exam date for us)
• There will be no class Friday, March 12 (Columbia History of Science Seminar)
• Spring Break starts next week (no classes or office hours)

Week 9: Monday, March 15

    SPRING BREAK!

Week 10:  Monday, March 22

• Topics:
  • The derivative
  • Applications of the derivative
• Reading:
• 3.8 -3.11
• 4.1

Monday:

• Inverse Trigonometric Functions - ArcTan and ArcSec (3.8)

Tuesday:

• Related Rates (3.9)

Thursday:

• Linearization and differentials (3.10)

Friday:

• Differentials (3.10)
• Hyperbolic trigonometric functions 3.11)

Other Notes:

• Hour Exam #3 will be Friday, April 9

Week 11:  Monday, March 29

• Topics:
  • Applications of the derivative
• Reading:
• 4.1 - 4.4

Monday:

• Extreme Values of Functions (4.1)

Tuesday:

• The Mean Value Theorem (4.2)

Thursday:

• The first derivative test (4.3)

Friday:

• Curve sketching (4.4)

Other Notes:

• Hour Exam #3 will be next Friday, April 9

Week 12:  Monday, April 5

• Topics:
  • Applications of the derivative
• Reading:
• 4.4 - 4.6

Monday:

• Graphing:  an example (4.4)
• Optimization - Part I (4.5)

Tuesday:

• Optimization - Part II (4.5)

Thursday:

• Optimization - Part II (4.5)
• Review for exam #3

Friday:

Other Notes:

• Hour Exam #3 will be this Friday, April 9

Week 13:  Monday, April 12

• Topics:
  • Applications of the derivative
  • Integration
• Reading:
• 4.5 - 5.1

Monday:

• Exam 3 returned and discussed

Tuesday:

• Final discussion on optimization (4.5)

Thursday:

• Indeterminate forms and L'Hôpital's rule (4.6)

Friday:

• Newton's method and numerical analysis (4.7)
• Antiderivatives (4.8)

Other Notes:

• Hour Exam #4 will be Friday, April 30.   Please note that this is in the last full week of the term.

Week 14:  Monday, April 19

• Topics:
  • Integration
• Reading:
• 4.8 - 5.3

Monday:

• No class - instructor ill

Tuesday:

• Problem session

Thursday:

• Antiderivatives (4.8)
• Estimating with finite sums (5.1)
• Sigma Notation (5.2)

Friday:

• Sigma Notation and Limits of Finite Sums (5.2)

Other Notes:

• Hour Exam #4 will be next Friday, April 30.   Please note that this is in the last full week of the term.

Week 15:  Monday, April 26

• Topics:
  • Integration and the fundamental theorems of calculus
• Reading:
• 5.2 - 5.5

Monday:

• Riemann sums (5.2)
• The definite integral (5.3)

Tuesday:

• The Fundamental Theorems of Calculus (5.4)

Thursday:

• Exam #4 Review

Friday:

Other Notes:

• Hour Exam #4 will be this Friday, April 30.   Please note that this is in the last full week of the term.

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