Math 9C, First Year Calculus

MWF 3:10-4 pm, Sproul 1102

Dr. Julie Bergner

Friday, September 25: Sequences

Before Monday: Read section 12.1 of Stewart.

To turn in Monday: one sheet of paper containing:

-         A solution to the problem given at the end of today’s class

-         Notes you take on the section

-         Answers to the two parts of #2 from section 12.1

-         A question that you have after doing the reading

WebAssign: Homework 1 (due Wednesday, September 30 before midnight)

Monday, September 28: More on sequences

Before Wednesday: Look over section 12.1 again, especially material we haven’t covered yet

To turn in Wednesday: one sheet of paper containing:

-         A solution to the problem given at the end of today’s class

-         Any notes you might have on the reading

-         A list of different techniques from the section on how to determine whether a sequence is convergent or not

-         A question that you have

WebAssign: Homework 2 (due Wednesday, September 30 before midnight)

Wednesday, September 30: Still more on sequences

To turn in on Friday: one sheet of paper containing:

-         A solution to the problem given at the end of today’s class

-         Any notes you take on the section

-         Answer to #1 from section 12.2

-         A question that you have

WebAssign: Homework 3 (due Wednesday, October 7 before midnight)

Friday, October 2: Series and convergence of geometric series

Before Friday: Read the beginning of section 12.3 (up to “Estimating the sum of a series”), and section 8.8 if you need to review (or learn!) improper integrals.

To turn in on Monday: one sheet of paper containing:

-         A solution to the problem given at the end of today’s class

-         Any notes you take on the section

-         Answer to the question: What is the main idea of the integral test?

-         A question that you have

WebAssign: Homework 4 (due Wednesday, October 7 before midnight)

Monday, October 5: More series and the integral test

Before Wednesday: Read the rest of section 12.3 and all of section 12.4.

To turn in Wednesday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answers to #1 and 2 in section 12.4

-         A question that you have

WebAssign: Homework 5 (due Wednesday, October 7 before midnight)

Wednesday, October 7: More on the integral test and remainder estimates

To turn in Friday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to question #1 in section 12.5

-         A question that you have

WebAssign: Homework 6 (due Wednesday, October 14 before midnight)

Friday, October 9: Comparison test, limit comparison test, and alternating series

To turn in Monday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What is the difference between absolutely convergent and conditionally convergent?

-         A question that you have

WebAssign: Homework 7 (due Wednesday, October 14 before midnight)

Monday, October 12: Absolute convergence and the ratio and root tests

Homework: Study for Wednesday’s exam!

Practice exams are available on iLearn, and looking at section 12.7 is also recommended.

WebAssign: Homework 8 (due Wednesday, October 14 before midnight)

(Notice that the WebAssign assignments are still due at midnight – but it is recommended to do them before the exam!)

No homework due on Friday.

Wednesday, October 14: Exam #1

Friday, October 16: Power series

To turn in Monday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to  question #2 in section 12.8

-         A question that you have

WebAssign: Homework 9 (due Wednesday, October 21 before midnight)

Monday, October 19: Representations of power series

To turn in Wednesday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: Why do we represent functions as power series?

-         A question that you have

WebAssign: Homework 10 (due Wednesday, October 21 before midnight)

Wednesday, October 21: More on representations of power series

Before Friday: Read first part of section 12.10

To turn in Friday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to question #1 in section 12.10

-         A question that you have

WebAssign: Homework 11 (due Wednesday, October 28 before midnight)

Friday, October 23: Taylor and Maclaurin series

Before Monday: Finish reading section 12.10

To turn in Monday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What are Taylor series good for?

-         A question that you have

WebAssign: Homework 12 (due Wednesday, October 28 before midnight)

Monday, October 26: Binomial series and using Taylor series for integration

Before Wednesday: Read section 12.11, up through “Applications to physics”

To turn in Wednesday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: How are Taylor series used in applications?

-         A question that you have

WebAssign: Homework 13 (due Wednesday, October 28 before midnight)

Wednesday, October 28: Multiplication and division of Taylor series, and applications of Taylor polynomials

Before Friday: Read the rest of section 12.11

To turn in Friday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: How are Taylor polynomials used in physics?

-         A question that you have

WebAssign: Homework 14 (due Wednesday, November 4 before midnight)

Friday, October 30: Applications of Taylor polynomials to physics

To turn in Monday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What is the idea behind using integrals to compute arc length?

-         A question that you have

WebAssign: Homework 15 (due Wednesday, November 4 before midnight)

Monday, November 2: Arc length

Before Wednesday: Look at the last part of 9.1 again: arc length function

To turn in Wednesday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What is the purpose of finding an arc length function?

-         A question that you have

WebAssign: Homework 16 (due Wednesday, November 4 before midnight)

Wednesday, November 4: Arc length functions

To turn in Friday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What is the difference between what is going on in this section and what is going on in sections 6.2 and 6.3?

-         A question that you have

WebAssign: Homework 17 (due Thursday, November 12 before midnight)

Friday, November 6: Surface area

To turn in Monday: One sheet of paper containing:

-         A solution to the problem given in class

-         A question that you have on the material for Friday’s exam (sections 12.8-12.11 and 9.1-9.2)

WebAssign: Homework 18 (due Thursday, November 12 before midnight)

Monday, November 9: Surface area, continued, and review

WebAssign: Homework 19 (due Thursday, November 12 before midnight)

Wednesday, November 11: Veteran’s Day Holiday

Friday, November 13: Exam #2

To turn in Monday: One sheet of paper containing:

-         Any notes you take on the reading

-         Answer to the following question:  What is a differential equation, and what are they good for?

-         A question that you have

Monday, November 16: Differential equations

To turn in Wednesday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What is the purpose of the methods given in this section?

-         A question that you have

WebAssign: Homework 20 (due Wednesday, November 18 before midnight)

Wednesday, November 18: Direction fields and Euler’s method

To turn in Friday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What makes separable differential equations so nice to solve?

-         A question that you have

WebAssign: Homework 21 (due Wednesday, November 25 before midnight)

Friday, November 20: Separable equations

Before Monday: Re-read end of section 10.3 on mixing problems

To turn in Monday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: Why do differential equations arise in mixing problems? (Hint: There is no direct answer in the book for you to copy!)

-         A question that you have

WebAssign: Homework 22 (due Wednesday, November 25 before midnight)

Monday, November 23: Mixing problems

Before Wednesday: Read the first part of section 10.4 (up to “Comparison of the natural growth and logistic models”)

To turn in Wednesday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: Why do we need different models for population growth?

-         A question that you have

WebAssign: Homework 23 (due Wednesday, November 25 before midnight)

Wednesday, November 25: Models for population growth

Before Monday: Read the rest of section 10.4

To turn in Monday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: How to data tables and models for population growth relate to one another?

-         A question that you have

WebAssign: Homework 24 (due Wednesday, December 2 before midnight)

Friday, November 27: Thanksgiving Holiday

Monday, November 30: Comparing models for population growth

To turn in Wednesday: One sheet of paper containing:

-         A solution to the problem given in class

-         Any notes you take on the reading

-         Answer to the following question: What is the difference between separable and linear differential equations?

-         A question that you have

WebAssign: Homework 25 (due Wednesday, December 2 before midnight)

Wednesday, December 2: Linear equations

Before Friday: Look over course material, especially since last exam

To turn in Friday: One sheet of paper containing:

-         A solution to the problem given in class

-         A question that you have on CONTENT for the exam (about mathematics, not about how many problems there will be or if it will be curved)

-         You can ask other questions (i.e., about the exam itself) but there should be at least one question on content.

WebAssign: Homework 26 (due FRIDAY, December 4 before midnight)

Friday, December 4: Review

Thursday, December 10: Final Exam, 7-10 pm

Office hours for finals week: Wednesday and Thursday 2-4 pm, and by appointment

Last updated: 7 December 2009