Previous Weeks in Math 180 C
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
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:
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
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)
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
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)
Week 5: Monday, February 15
Monday:
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:
Week 6: Monday, February 22
- Topics:
- Reading:
- 3.1 -3.4
- 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
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:
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
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 - started
ArcTan.)
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:
Monday:
- Inverse Trigonometric Functions - ArcTan and ArcSec (3.8)
Tuesday:
Thursday:
- Linearization and differentials (3.10)
Friday:
- 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:
Monday:
- Derivatives of hyperbolic trigonometric functions.
- Extreme Values of Functions (4.1)
Tuesday:
- The Mean Value Theorem (4.2)
Thursday:
- The first derivative test (4.3)
Friday:
Other Notes:
- Hour Exam #3 will be next Friday, April 9
Week 12: Monday, April 5
- Topics:
- Applications of the derivative
- Reading:
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:
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
Monday:
- No class - instructor ill
Tuesday:
- Antiderivatives (4.8)
- Estimating with finite sums (5.1)
Thursday:
- Estimating with finite sums (5.1)
- Sigma Notation and Limits of Finite Sums (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
Monday:
- Riemann Sums (5.2)
- The definite integral (5.3)
Tuesday:
- The Fundamental Theorems of Calculus (5.4)
Thursday:
- The Substitution Rule (5.5, 5.6)
- Exam #4 Review
Friday:
Other Notes:
- Hour Exam #4 is this Friday, April 30. Please note that this is in
the last full week of the term.
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