MATH  103:   CALCULUS I (Announcements, my schedule)
MWF 10 - 10:50am and 11 - 11:50am, Bronfman Science Center 105

Review Classes: All in Thompson Biology Lab 202:
Mon, Dec 8 (10-11am); Wed, Dec 10 (10am-noon)

Final will be Thursday, December 11th at 9:30am in Thompson Biology Lab 112

Professor Steven Miller (Steven.J.Miller AT williams.edu)

202 Bronfman Science Center, 413-597-3293

REVIEW SESSIONS: LAST DAY THURS, DEC 4TH

• Class TAs (Alan.B.Arias AT williams.edu, Douglas.O.Onyango AT williams.edu):
• Monday, Tuesday: 7 - 8:30pm in Bronfman 104
• Wednesday: 7 - 8:30pm in Bronfman 107
• Thursday, Friday: 1:30 - 3pm in Clark 204
• Sunday: 7 - 8:30pm in Clark 204
• Math & Science Resource Center: Thompson Physics Laboratory, room 113 or 114
• Sundays: 8pm - 10pm (Edgar)
• Mondays: 8pm-12am (Laura)
• Tuesdays: 8pm-10pm (Nancy)
• Wednesdays: 9pm-11pm (Edgar)
• Thursdays: 10pm - midnight (Nancy)

RESOURCES FOR HELP: (not responsible for any errors on any page!)

• Free tutoring: Math & Science Resource Center Coordination
• Webpage with useful explanations, examples and applets:
• Summary of calculus formulas and rules: (with thanks to Lambert Peng): Calc I Summary
• Summary of calculus definitions (by Lauren Z, checked by Kyle V): calcdefns (note: it doesn't have the FTC: If f(x) is a continuous, differentiable function and f'(x) is bounded, then the area under the curve y = f(x) from x=a to x=b, denoted ʃab f(x)dx, is F(b) - F(a), where F(x) is any anti-derivative of f(x) (ie, F'(x) = f(x)).
• Review sessions: Dates and times TBD.
• The Calculus Lifesaver (by Adrian Banner): a good supplemental book with numerous worked through examples; this book is not required for the course, but is an excellent resource. Videos of the review sessions he ran at Princeton for Calc I are also available here.
• My lecture notes: for your convenience and viewing pleasure, I've scanned in my notes and are posting them here. Remember that these are just meant to remind me what to say, and thus sometimes have minimal detail. We'll mostly go in order.

COURSE DESCRIPTION: Calculus permits the computation of velocities and other instantaneous rates of change by a limiting process called differentiation. The same process also solves "max-min" problems: how to maximize profit or minimize pollution. A second limiting process, called integration, permits the computation of areas and accumulations of income or medicines. The Fundamental Theorem of Calculus provides a useful and surprising link between the two processes. Subtopics include trigonometry, exponential growth, and logarithms. This is an introductory course for students who have not seen calculus before. Students who have previously taken a calculus course may not enroll in Mathematics 103 without the permission of instructor.
Format: lecture. Evaluation will be based primarily on homework, quizzes, and/or exams.
Prerequisites: Mathematics 102 (or demonstrated proficiency on a diagnostic test; see Mathematics 101). No enrollment limit (expected: 30).

HOMEWORK / EXAMS / GRADING:  I encourage you to work in groups, but everyone must submit their own HW assignment. HW is to be handed in on time, stapled and neat -- late, sloppy or unstapled HW will not be graded. Please show your work on the HW and exams (otherwise you risk getting no credit). Homework problems will mostly be taken from this sheet (these problems are also in the textbook, but this way you don't have to lug the book with you everywhere). There will be at least three midterms (with at least the lowest grade dropped) and a final; grades are 20% HW, 40% Midterm, 40% Final. All exams are cumulative. Click here to see an example of how to write up calculus homework problems.

SYLLABUS / GENERAL: We will do most of the sections of the textbook through Chapter 5. The textbook is Calculus with Early Transcendentals (7th edition, Edwards and Penney). If you want to see if an earlier edition is close enough, let me know and you can compare it to my copy. My son found this to be an interesting, readable book. Also, please feel free to swing by my office or mention before, in or after class any questions or concerns you have about the course. If you have any suggestions for improvements, ranging from method of presentation to choice of examples, just let me know. If you would prefer to make these suggestions anonymously, you can send email from mathephs@gmail.com (the password is the first seven Fibonacci numbers, 11235813). My lecture notes are available online here (but remember these are meant to remind me what to say, and thus sometimes have few details).

• Week 1: Friday, September 5th
• Read: Chapter 1, review algebra through webpages above
• HW: Due Wednesday, September 10th: 1.1: #1, #29, #47; 1.2: #5, #65; #1.4: #14.
• Suggested HW: 1.1: #36; 1.2: #79; 1.4: #22, #7, #8.
• Week 2: September 8th to 12th
• Mathematica notebook: Example of the squeeze theorem
• HW: Due Wednesday, September 17th: 2.1: #5, #15; 2.2: #1, #4, #6, #25; 2.3: #1, #7, #25; 2.4: #49
• Suggested HW: 2.1: #33; 2.2: #27, #37; 2.3: #2, #32, #70; 2.4: #1, #20, #47, #63 (very important for applications!), #66.
• Week 3: September 15th to 19th
• Read: Chapter 2, Chapter 3: 3.1, 3.2, 3.3, 3.4.
• HW: Due Wednesday, September 24: Problem from 3.1: in the HW list (ie, find the derivative of f(x) = 3x2 - 4x + 1) from the definition of the derivative); 3.2: #3, #8, #16, #25; 3.3: #1, #7, #54; 3.4: #1, #17, #31.
• Suggested HW: 3.2: 55, 61, 66, 73; 3.3: #39, #42, #33; 3.4: #43, #47, #63, #71.
• Week 4: September 22nd to 26th
• Read: Chapter 3: 3.4, 3.7, 3.5, 3.6.
• Mathematica notebook: Example of derivatives and tangent lines,     Drowning swimmer problem.
• General Comment: First exam will be Monday, September 29th
• HW: Due Wednesday, October 1st: 3.7: #1, #8, #45; 3.5: #1, #18; 3.6: #1, #20, #47.
• Suggested HW: 3.7: #41, #61, #71, #77; 3.5: #9, #28, #41, #42; 3.6: #7, #13, #15, #27, #42.
• Week 5: September 29th to October 3rd: In class exam on Monday, Sept 29th
• Read: Chapter 3: 3.6, 3.8; Chapter 4: 4.1, 4.2.
• HW: Due Wed October 8th: 3.8: #1, #18, #39, #59.
• Suggested HW: 3.8: #7, #33, #63, #64, #72.
• Week 6: October 6th to 10th
• Week 7: October 13th to 17th
• Read: Chapter 4: 4.1, 4.2, 4.3.
• General Comment: Second exam will be Monday, October 20th.
• General Comment: Third exam will be in class on Wednesday, October 22nd.
• For next week, you are responsible for redoing your second exam and making sure you understand all problems. As no one got every problem entirely correct, you must talk with at least one other student about the exam questions, and make sure you both understand each problem. You DO NOT need to hand in your second attempt on the exam; you are on the honor system to write up all problems you got wrong and make sure they are correct.
• Week 8: October 20th to 24th
• Read: Chapter 4: 4.3, 4.4, 4.5.
• HW: Due Wed, Oct 29: 4.2: #28, #42; 4.3: #15, #25, #33, #45; 4.4: #1, #11, #29; 4.6: Sketch f(x) = -(x^3/3) + 5x^2 - 16x + 2004; #13; #33.
• Suggested HW: 4.2: #2, #11; 4.3: #1, #4, #5, #16, #17, #18, #26, #27, #48, #61; 4.4: #27, #30, #31, #34, #42; 4.6: #4, #35, #77, #80, #82, #83, #89.
• Week 9: October 27th to 31st
• Week 10: November 3rd to 7th
• General Comment: Fourth exam is Friday, November 7th
• HW: Due Wed, Nov 12th: 4.8: #1, #9, #42; 5.2: #1, #3, #16; WRITE AND CHECK REVIEW SHEET.
• Suggested HW: 4.8: #2, #62, #68, #70, #73; 5.2: #37, #58, #68.
• Week 11: November 10th to 14th
• HW: Due Wed, Nov 19th: 5.3: #3, #9, #19 (you may use the identity listed above), #39.
• Suggested HW: 5.3: Prove the three identities before problem 19, #52, #53.
• Week 12: November 17th to 21st
• Week 13: November 24th to 28th (Thanksgiving recess on the 26th and 28th)
• Week 14: December 1st to 5th
• Week 15: December 8th to 12th
• Review Sessions: Mon, Dec 8 (10-11am); Wed, Dec 10 (10am-noon)
• Final will be Thursday, December 11th at 9:30am in Thompson Biology Lab 112

HANDOUTS:

OTHER: