Previous Weeks in Math 122 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 29
Monday:
- Introduction to the course
- Some history
Tuesday:
- Informal and formal definition of limits
- Definition of continuity
Wednesday:
- Continuity
- Intermediate Value Theorem
- Method of bisection
- Definition of derivative
Friday:
- Applications of the derivative
- Max min problems
- Newton's method
Other Notes:
- Next Monday is Labor Day (no classes or office hours)
Week 2: Monday, September 5
- Topics:
- Reading:
- 5.1 - 5.3
Monday:
- Labor Day (no classes or office hours)
Tuesday:
- Antidifferentiation (5.1)
Wednesday:
- Area as an antiderivative
- Summation rules
Friday:
- Riemann sums and the definite integral
- Some notes on inverse trig functions.
Other Notes:
- No class next Friday (Instructor out of town)
Week 3: Monday, September 12
- Topics:
- Reading:
- 5.4 - 5.6
Monday:
- The fundamental theorems of calculus (5.4)
Tuesday:
- Integration by substitution (5.5)
Wednesday:
- Questions
- Introduction to ordinary differential equations
Friday:
- Instructor out of town: No class or office hours
Other Notes:
- Monday, September 12 is the last day to drop without record.
- Exam #1 will be next week. It will cover material through
Wednesday's lecture, including specified review material.
Week 4: Monday, September 19
- Topics:
- Reading:
- 5.6 - 5.8, (we will skip 5.9)
Monday:
- Introduction to Ordinary Differential Equations (5.6)
Tuesday:
- Separable Differential Equations
Wednesday:
- The Mean Value Theorem (5.7)
Friday:
Other Notes:
Week 5: Monday, September 26
- Topics:
- Reading:
- 5.8, 6.1 - 6.2
Monday:
- Trapezoid rule (approximate area by approximating the function by a
piece-wise linear function)
Tuesday:
- Simpson's rule (approximate area by approximating the function by a
quadratic function)
Wednesday:
- Area between curves (6.1)
- Introduction to volume (6.2)
Friday:
- Discussion of homework
- Some Mathematica
- Return of exam
Other Notes:
- Monday, September 26, is the last day to withdraw with an automatic 'W'
Week 6: Monday, October 3
- Topics:
- Applications of Integration
- Reading:
- 6.2- 6.4
Monday:
- Volumes of revolution (6.2)
- Square pyramid
- Method of disks
- Method of shells
Tuesday:
- Polar forms and area (6.3)
Wednesday:
- Polar forms and area (6.3)
Friday:
- Arc length and area of surfaces (6.4)
- Applications in the physical sciences
- Applications in business, economics, and the life sciences
Other Notes:
Week 7: Monday, October 10
- Topics:
- Applications of integration
- Reading:
- 6.4- 7.2
Monday:
- Arc length and area of surfaces (6.4)
Tuesday:
- Discussion of homework (p 395 #16)
- Applications in the physical sciences (6.5)
Wednesday:
- Discussion of homework problems (p 339 #19)
Friday:
- Discussion of HW (p 384 #27 - section C only)
- Applications in the physical sciences (6.5)
Other Notes:
- Next Monday (October 17) is Fall Break Day (no classes or office hours)
- Exam #2 will be next week.
Week 8: Monday, October 17
- Topics:
- Techniques of integration
- Reading:
- 6.5- 7.1
Monday:
- Fall Break Day (no classes or office hours)
Tuesday:
- Applications in the physical sciences (6.5)
Wednesday:
- Homework questions
- Theorem of Pappus
- Review for exam #2
Friday:
Other Notes:
Week 9: Monday, October 24
- Topics:
- Techniques of integration
- Reading:
- 7.1- 7.2
Monday:
- Applications in business, economics, and the life sciences (6.6)
- Return of exam
Tuesday:
- Applications in business, economics, and the life sciences (6.6)
Wednesday:
- Applications in business, economics, and the life sciences (6.6)
Friday:
- Techniques of integration (7.1)
- Integration by parts (7.2)
Other Notes:
Week 10: Monday, October 31
- Topics:
- Techniques of integration
- Reading:
Monday:
- Trigonometric Methods (7.3)
Tuesday:
- Trigonometric Methods (7.3)
Wednesday:
- Trigonometric Methods (7.3)
- Partial Fractions (7.4)
Friday:
- Partial Fractions (7.4)
- Review (7.5 - Please read this section. I will assign
a few problems from it)
Other Notes:
- Exam #3 will be next week
Week 11: Monday, November 7
- Topics:
- Differential equations
- Introduction to infinite series
- Reading:
- 7.6 (we will skip 7.7 and 7.8 for now)
- 8.1
Monday:
- Differential Equations (7.6)
Tuesday:
- Differential Equations (7.6)
Wednesday:
- Introduction to infinite series (8.1)
- Review for exam #3
Friday:
Other Notes:
Week 12: Monday, November 14
- Topics:
- Introduction to infinite series
- Reading:
Monday:
- Introduction to infinite series continued (8.1, 8.2)
Tuesday:
- More on infinite series
- Geometric series
Wednesday:
- The big picture (why are we doing this?)
- Exam #3 returned
Friday:
- The p-test and integral test
Other Notes:
- Next Wednesday will be a regular lecture day.
Week 13: Monday, November 21
- Topics:
- Introduction to infinite series
- Reading:
Monday:
- The p-test and integral test (8.3)
- Comparison tests (8.4)
Tuesday:
- The ratio test and root test (8.5)
Wednesday:
Friday:
- Thanksgiving Holiday (no classes or office hours)
Other Notes:
- Thursday and Friday, November 24 and 25, are part of Thanksgiving
Holiday (no classes or office hours)
- Exam #4 will be next Friday. Please note that this is in the
last full week of the term.
Week 14: Monday, November 28
- Topics:
- Infinite Series and Power Series
- Reading:
Monday:
- Alternating Series (8.6)
- Absolute and Conditional Convergence
Tuesday:
Wednesday:
- Taylor and Maclaurin Series (8.8)
- Review for exam #4
Friday:
Other Notes:
- Exam #4 will be Friday. Please note that this is in the
last full week of the term.
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