| DAILY ASSIGNMENTS |
| Week 1 (USC classes begin on Monday; Friday is the last day to drop without a grade of W) |
| Jan 14 (Mon) |
To review the important integration techniques discussed last semester, look over the following problems:
- Section 6.2 (#15 – 35)
- Section 6.3 (#9 – 48)
- Section 6.6 (#3 – 27)
- Section 6.8 (#23 – 48)
For tomorrow's class do at least five problems from each section. Also finish the handout Integration Practice I. |
| Jan 15 (Tue) |
By Thursday's class do at least five more problems from each section listed above. There will be a quiz Thursday on these four sections. |
| Jan 16 (Wed) |
Maple Lab: New User's Tour |
| Jan 17 (Thu) |
Read section 7.1 and begin working on #6, 7, 9, 10, 11, 13, 15, 16, 18 from that section. Make sure that you have memorized the basic derivative rules and integration rules. For quiz 1, blank copies and solutions are now available online. |
| Week 2 (Monday is Dr. Martin Luther King, Jr. Service Day) |
| Jan 22 (Tue) |
Read section 7.2 and finish the assigned problems from 7.1. Without a calculator, you should be able to graph the trigonometric functions (sin, cos, sec, csc, tan, cot), exponential and logarithmic functions, and of course lines, parabolas, and other polynomials. |
| Jan 23 (Wed) |
Maple Lab: Review of Calculus I |
| Jan 24 (Thu) |
Read section 7.2. In 7.2 start #5, 6, 7, 12, 13, 20, 24, 25, 30, 36, 38. There will be a quiz Monday on section 7.1. You will need to know how to graphs of sin(x), cos(x), sec(x), csc(x), tan(x), cot(x), e^x, ln(x), lines, and parabolas. |
| Week 3 |
| Jan 28 (Mon) |
Read section 7.3. Finish the problems from 7.2 and do #8, 10, 12, 14, 16 from section 7.3. Quiz 2 was given as a take-home quiz due at the beginning of Tuesday's class. There will be a quiz Thursday on sections 7.2-7.3. |
| Jan 29 (Tue) |
Read section 7.6 and do #3–11, 23, 26 from that section. There will be a quiz Thursday on sections 7.2-7.3. |
| Jan 30 (Wed) |
Maple Lab: Volume by Definite Integral |
| Jan 31 (Thu) |
Read sections 7.4 and 7.5. In section 7.4 do #3, 5, 6, 9, 11. In section 7.5 do #1, 2, 3, 4. Quiz 3 was given during class. |
| Week 4 |
| Feb 4 (Mon) |
Complete today's homework assignment before tomorrow's class. There will be a quiz tomorrow on sections 7.4, 7.5, and 7.6. You will need to have memorized the formulas for arclength (given y=f(x) and given parametrically), surface area, and average value of a function. |
| Feb 5 (Tue) |
Read sections 8.1 and 8.2. In section 8.2 do #2, 3, 4, 8, 9, 10, 11, 14, 19, 23, 30, 31. Quiz 4 was given during class. |
| Feb 6 (Wed) |
Maple Lab: Project 1 - Goblet Design |
| Feb 7 (Thu) |
Read section 8.3 and do #2, 4 from the quick check exercises on page 528. From the section 8.3 exercise set do #8, 10, 11, 13, 17, 24, 33, 38, 43. Also finish the handout Integration Practice II. |
| Week 5 |
| Feb 11 (Mon) |
Thursday's test will cover sections 6.2, 6.3, 6.6, 6.8, 7.1, 7.2, 7.3, 7.4, 7.6, 8.1, 8.2, 8.3. Solutions to all handouts this semester are now available on our course home page. |
| Feb 12 (Tue) |
Keep studying for Thursday's test covering the sections mentioned above. |
| Feb 13 (Wed) |
Maple Lab: Integration Methods I - Substitution, Integration by Parts |
| Feb 14 (Thu) |
Test 1 |
| Week 6 |
| Feb 18 (Mon) |
For homework integrate the following functions with respect to x.
- csc(x)
- sin(2x)cos(2x)
- sin(2x)cos(3x)
- sin(2x)sin(5x)
- cos(x)cos(3x)
- sin(3x)sin(3x)
|
| Feb 19 (Tue) |
Read section 8.4 and do #2, 3, 4, 5, 7, 14, 18, 22, 23, 25, 29, 33, 37, 44 from that section. You should add the integral of sec(x) as one of your memorized formulas. |
| Feb 20 (Wed) |
Maple Lab: Hour Quiz 1 |
| Feb 21 (Thu) |
Finish the problems from section 8.4 in preparation for Monday's quiz on this section. The three identities used to help determine the appropriate substitutions are:
- 1 + tan2θ = sec2θ
- sec2θ – 1 = tan2θ
- 1 – sin2θ = cos2θ
In addition to knowing how the basic trig functions are defined in terms of the hypotenuse, opposite, and adjacent sides of a right triangle, other useful identities for this section are:
- sin 2θ = 2sin θ cos θ
- cos 2θ = cos2 θ – sin2 θ
|
| Week 7 (Monday is the last day to drop without a grade of WF) |
| Feb 25 (Mon) |
Quiz 5 was given as a take-home due at the beginning of tomorrow's class. Read section 8.5. By tomorrow do #9, 10, 11, and 12 from this section. By Thursday do #6, 16, 25, 29, 30, and 31. |
| Feb 26 (Tue) |
Finish the homework from section 8.5. There will be a quiz Monday on this section. |
| Feb 27 (Wed) |
Maple Lab: Integration Methods II - Partial Fractions, Trigonometric Substitutions |
| Feb 28 (Thu) |
There will be a quiz Monday on section 8.5. Read section 8.8 and do #3, 6, 8, 14, 17, 18, 19, 49 from that section. Also evaluate the improper integral of 1/x^p from 1 to infinity. For which values of p does the integral converge? In this case what does the integral converge to? |
| Week 8 |
| Mar 3 (Mon) |
Quiz 6 on section 8.5 was given during class. There will be another quiz tomorrow on section 8.8. |
| Mar 4 (Tue) |
Quiz 7 was given as a take-home quiz due at the beginning of Thursday's class. For homework read section 10.1. In that section do #1, 8, 9, 11, 12, 13, 15, 19, 22, 27, 28, 29, 30, 38. There will be a quiz the Monday after break covering sections 10.1 and 10.2. Our test will be held on the Thursday after break. |
| Mar 5 (Wed) |
Maple Lab: Numerical Integration - Simpson's Rule and Newton-Cotes Formulas |
| Mar 6 (Thu) |
Read section 10.2 and do #4, 8, 18, 23 from that section. There will be an in-class quiz Monday after break on sections 10.1-10.2. The test Thursday after break will predominantly cover sections 8.4, 8.5, 8.8, 10.1, and 10.2. It may also include previous integration techniques such as substitution and integration by parts, or the use of an integral to compute an area or a volume. |
| Week 9 (Spring Break!) |
| Week 10 |
| Mar 17 (Mon) |
Quiz 8 was given during class. Thursday's test will cover sections 8.4, 8.5, 8.8, 10.1, and 10.2. It may also include previous integration techniques such as substitution and integration by parts, or the use of an integral to compute an area or a volume. |
| Mar 18 (Tue) |
Thursday's test will cover sections 8.4, 8.5, 8.8, 10.1, and 10.2. It may also include previous integration techniques such as substitution and integration by parts, or the use of an integral to compute an area or a volume. You should look over quizzes 5, 6, 7, and 8. Solutions to all of this semester's quizzes as well as some tests and quizzes from previous semesters are available online. |
| Mar 19 (Wed) |
Maple Lab: Improper Integrals |
| Mar 20 (Thu) |
Test 2 |
| Week 11 |
| Mar 24 (Mon) |
Read section 10.3 and do #1, 3, 4, 5, 7, 8, 13, 15, 17, 19, 23, 24, 26, 27, 28, 31, 32, 33 from that section. There will be a quiz Thursday on this material. |
| Mar 25 (Tue) |
Read section 10.4 very carefully and do #2, 4, 6, 8, 10, 12, 14, 16, 18 from that section. There will be a take-home quiz given Thursday covering section 10.3. |
| Mar 26 (Wed) |
Maple Lab: Sequences and Series |
| Mar 27 (Thu) |
Quiz 9 was given as a take-home quiz due at the beginning of Monday's class. Finish the problems listed above from section 10.4 and read section 10.5. There will be an in-class quiz Tuesday on section 10.4. |
| Week 12 |
| Mar 31 (Mon) |
For homework do #1-10 from section 10.5. Try them all with the ordinary comparison test. |
| Apr 1 (Tue) |
Quiz 10 was given during class. For homework finish #1-10 from section 10.5. If you can't think of an ordinary comparison, then try the limit comparison test found in your reading. |
| Apr 2 (Wed) |
Maple Lab: Project 2 - Koch Snowflake and Fractals |
| Apr 3 (Thu) |
In section 10.5 do #11-20, 21, 23, 25, 27, 29, 32, 34, 35. The next quiz will be Tuesday and will cover section 10.5. |
| Week 13 |
| Apr 7 (Mon) |
For homework read section 10.6 and do #2, 5, 6, 8, 10, 13, 14, 15, 16, 18, 22, 23, 31, 32, 35, 37 from that section. Tomorrow's quiz will cover section 10.5. |
| Apr 8 (Tue) |
Quiz 11 was given during class. Read section 10.7 and do #11, 16 from that section. |
| Apr 9 (Wed) |
Maple Lab: Series Convergence Tests |
| Apr 10 (Thu) |
Read section 10.8. In 10.7 do #12, 15. In 10.8 do #5, 6, 19, 25, 27, 30, 32, 34. |
| Week 14 |
| Apr 14 (Mon) |
There will be a quiz tomorrow on section 10.6, 10.7, and 10.8. In 10.7 do #20, 22, 23. In 10.8 do #11, 22, 40, 44. |
| Apr 15 (Tue) |
Quiz 12 was given during class. Memorize the Maclaurin series along with the intervals of convergence for e^x, sin(x), cos(x), 1/(1-x), and ln(1+x) on page 701. Read section 10.10 and do #1, 2, 6, 7a, and 9 from that section. |
| Apr 16 (Wed) |
Maple Lab: Hour Quiz 2 |
| Apr 17 (Thu) |
Finish the homework from 10.10 and do all problems from the handout Maclaurin and Taylor Series: Practice Problems. Tuesday's test will cover sections 10.3 – 10.8, and 10.10. Look over quizzes 9 – 12 and the first handout on series convergence tests. |
| Week 15 |
| Apr 21 (Mon) |
Prepare for tomorrow's test. |
| Apr 22 (Tue) |
Test 3 |
| Apr 23 (Wed) |
Maple Lab: Power Series and Taylor/Maclaurin Series |
| Apr 24 (Thu) |
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| Week 16 (Monday is the last day of all USC classes) |
| Apr 28 (Mon) |
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| Final Exam Period (Wednesday, April 30 through Wednesday, May 7) |
| May 1 (Thursday) |
Cumulative Final Exam from 9am - noon in LC 121 |