Paul Larsen
RLM 13.150
(512) 471-1242
University of Texas-Austin
Teaching: 408k, Fall 2006
- Unique number: 59315
- Lectures: MWF, 4-5pm, CPE 2.212 (click here for a map)
- Discussion sessions: TR, 4.30-5.30pm, GEO 2.102 (click here for a map)
- Office Hours: Mondays, 10-11am and 12-1pm; Thursdays, 2.30-3.30pm
Pre-Final Exam Office Hours:
Mon, 11 Dec: 2-4pm;
Tues, 12 Dec: 10-11:00am (please note the change!);
Wed, 13 Dec: 2-4pm;
Fri, 15 Dec: 2-4pm;
Mon, 18 Dec: 12-2pm, 3-5pm.
- For in-term exam dates, see the first day handout.
- For the syllabus and approximate lecture schedule, click here.
- For homework information, click here.
Links for 408k:
Final Exam Information
Handouts and quizzes: 408k, Fall 2006
Suggested Problems: 408k, Fall 2006
(Numbers in parentheses refer to related homework problems.)
- Section 3.1: 1 (see hw 5.7), 2, 3 (see hw 5.8), 5 (see hw 5.10), 7 (see hw 5.11, 5.12), 9 (see hw 5.11, 5.12), 13, 15, 17, 18 (see hw 5.13), 19 (see hw 5.14), 23 (see hw 5.14, but be careful!), 25, 35 (see hw 5.15, but be careful), 36 (see hw 5.15).
- Section 3.2: 1 (see hw 5.8, 5.10, 5.18), 3 (see hw 5.8, 5.10, 5.18), 4 (see hw 5.10, 5.18), 5 (see hw 5.18), 7 (see hw 5.18), 9 (see hw 5.18), 11 (see hw 5.18), 13 (see hw 5.18), 19, 21, 25 (see hw 5.13), 35, 41, 43.
- Section 3.3: 1 (6.2), 9 (6.22), 15, 19, 21, 23 (6.9), 25, 26, 27 (6.9), 41 (6.10), 51 (6.11, 12), 53 (6.11, 12), 57 (6.13), 63, 67 (6.3, 12, 14), 81 (6.18).
- Section 3.4: 3 (6.21), 7 (6.21), 9 (6.21), 13 (6.22), 15 (6.22), 16 (6.22), 29 (6.24).
- Extra Exercises. Please note: This is not a practice test, and is only intended as additional exercises to supplement the homework and book exercises.
- Here are answers to most of the Extra exercises above.
- Section 3.7: 1, 3, 9, 13, 15, 17, 25, 31, 36.
- Section 3.8: 1 (8.17), 3, 5, 7, 9, 13, 15, 17, 21 (8.20), 23 (8.16), 29, 33, 38 (8.14--see ex. 6 on p. 194), 41, 43, 45 (8.14), 47, 51 (8.13), 53 (8.12), 54 (8.12), 57 (8.19), 59 (8.19).
- Section 3.9: 1, 3 (8.3), 6 (8.4), 7, 8 (8.5), 9, 11 (8.10), 27 (8.1), 31.
- Section 3.10: 1 (9.1), 3 (9.1), 4 (9.1), 5, 7, 8 (9.3), 33 (9.3), 42 (9.4), 43 (9.4).
- Section 4.1: 3 (9.9), 5 (9.9), 15, 29, 31, 37, 41 (9.7), 43 (9.8), 45 (9.14), 47 (9.14), 53 (9.11), 54 (9.7), 55 (9.8), 56 (9.8), 61.
- Section 4.2: 1 (9.16), 3 (9.16), 4 (9.16).
- Section 4.3: 5 (10.3), 6 (10.3), 7, 11 (9.7, 9.8), 13 (9.7, 9.8), 15 (9.10), 27 (9.3), 28 (9.3), 29-a,b and c (9.7, 9.8), 31 (9.7, 9.8), 51 (9.6).
- Section 4.4: 7, 9, 13, 16, 18 (10.14), 21 (10.15), 22, 28, 59 (10.21)
- Section 4.5: (Even if you do not sketch the graph of all of the functions in these exercises, it is a good exercise to identify asymptotes, find where the function is increasing/decreasing, and find where the function is concave up/concave down) 1, 5, 9, 11, 33, 35, 43, 53.
- Section 4.7: 1, 3, 5, 7 (11.13), 9 (11.13), 15, 19, 22 (11.16), 46
- Extra Exercises for Exam 2. Please note: these are supplemental exercises chosen from the book, and not a practice test.
- Extra Exercises as above, but with added problems from section 4.7.
- Section 4.8: 5, 7, 19(b) (12.3), 20(b) (12.3), 21(b), (c) (12.3), 22 (12.3)
- Section 4.9: 1, 3, 5, 9, 11, 17 (12.6), 21, 25, 27, 35, 37 (12.11), 39 (12.12)53 (12.14), 55 (12.14), 57 (12.14), 68 (12.15), 69 (12.15)
- Section 7.1: 1, 3, 5, 7, 9, 11, 13, 14, 19, 21, 25 (13.5), 26 (13.7), 27 (13.6), 29, 39 (13.9), 40 (13.9)
- Section 7.2: 15, 23, 25 (13.14), 29, 31, 35, 45 (13.18), 46 (13.18), 61 (13.21)
- Section 7.3: 3, 4, 5, 7, 8, 13 (14.1), 15, 17 (14.2), 29, 35 (14.4), 32 (14.7), 41 (14.7), 51 (14.8), 55 (14.8), 56 (14.8), 61, 66 (14.9)
- Section 7.4: 2, 3, 5, 10 (14.11), 23 (14.13), 25, 26, 36 (14.10), 43 (14.13), 45 (14.13)
- Section 7.5: 1, 3, 7, 12 (15.3), 13 (15.3), 22, 23, 25, 31, 34 (15.4), 38
- Section 7.7: 5, 7, 9, 15, 21, 25 (15.12), 31, 47, 49, 53 (15.16)
- Extra Exercises for Exam 3, selected from the book.
- Solutions in PDF form for bonus problems given out during the last lecture. Also available in DVI form.
- Extra exercises for the final. The usual disclaimers apply: this list makes no claim to representativeness of topics you should know for the final, but is intended to supplement the homework, in-term exams, and above suggested exercises.
Chapter 2, p. 122: 1, 4, 6, 13, 15, 17, 23, 31; Chapter 3, p. 213, Concept Check: 1, 4; p. 214, 1, 2, 4, 7, 8, 13, 14, 15, 21, 24, 29, 37, 39, 43, 45, 48, 55, 69, 71, 75, 77, 80(a), 81(a), 84, 85;
Chapter 4, p. 308, Concept Check: 1, 4, 5, 6, 10; p. 309, 1, 2, 3, 7, 11, 12, 13, 14, 16, 17, 20, 40, 41, 48(b), 53, 54, 56, 57; Chapter 7, p. 504, Concept Check: 1, 2, 3; p. 505, 1, 2, 3, 4, 5, 6, 8, 11, 12, 13, 17, 19, 21, 22, 28, 33, 38, 40, 42, 57, 63, 64, 68, 69, 70, 76, 77, 112, 114.
Trigonometry Resources:
- Wikipedia has a good site.
- Here is the trigonometry handout from the UTLC.
- Here is a dense compilation of everything you'd need for 408k, and quite a bit more.
- Here is another compilation of trigonometric facts.
- Here is one, but not the only, rendering of the unit circle.
- Magic Hexagon: This is a trick to remember the quotient relations, Pythagorean indentities, and much more (link compliments of Omar Castillo).
Precalculus Books/Resources:
- Fred Safier, Precalculus (2002), available online through UT; click here.
- Rhonda Huettenmueller, Precalculus Demystified, available through UT; click here.
Calculus Books/Resources:
Limits:
UT Learning Center Review sessions:
You will need to sign up at the UT
Learning Center in Jester A332A, Mon-Fri, 9-5.
- Algebra Review:
9/11-9/14 MTWTh from 5:00 - 6:15
- Trigonometry for Calculus:
9/18-9/21 MTWTh from 5:00 - 6:15
- Calculus Final Exam Review for M408K:
11/27-11/30 MTWTh from 5:00 - 6:15
Talks:
Papers and Projects:
Writing:
- Mathematics and Hollywood. This was my entry for a departmental essay contest about mathematics in the media in November 2006.
Other Links:
Please feel free to contact me at plarsen at math dot utexas dot edu.
