Math 180 Home Page
Summer 2007:  10:00 Section

The Math 180 Final Exam for the 10:00 section will be Friday, July 20, 8:00 a.m. to 10:00 a.m.  Please note that this is the usual day for the class to meet, but NOT THE USUAL TIME. 

 

	Organization of course  General information Syllabus
	Handouts Growth f(x) = x4 and g(x) = 1.1x  (a power functions vs and exponential) Examples of polynomials and rational functions sin(x) / x for x close to 1 Limits of sin(x) / x and (1-cos(x)) / x as x approaches 0 Graphs of functions and derivatives (Please print and bring to class Weds, 6/13) Local minima, maxima, and inflection points
	Assignments (from textbook, unless otherwise indicated)    Wed, May 30 Before class:  Read Secs 1.1--1.2. Exercises due Thursday  (05/31). Sec 1.1 (2, 5, 10, 14 19, 23, 25) Exercises due Tuesday (06/05) Sec 1.2 (11, 12, 14, 21)   Fri, June 1 Before class:  Read Secs 1.3--1.5 Exercises due Tuesday  (06/05) Sec 1.3 (4, 15, 16de, 22, 23, 29, 35--37, 49, 50 ) Sec 1.4 (8, 14, 22, 26, 29, 33, 34, 46) Sec 1.5 (13, 15, 18, 29, 34, 40, 42)   Mon, June 4 Before class:  Read Secs 1.6--1.7 Exercises due Thursday (06/07) Sec 1.6 (12, 16, 23, 28) Sec 1.7 (4, 6, 13, 18, 19)   Wed, June 6 Before class:  Read Secs 1.8,  2.1--2.2 Exercises due Thursday (postponed to Tuesday, June 12) Sec 1.8 (12ab, 13ab, 26, 28).  For exercise 28, make a guess as to the value of the limit.   Fri, June 8 Before class:  Complete reading for Wednesday, if you have not already done so. Exercises due next Tuesday (06/12) Sec 2.1 (4, 7, 9, 10, 19, 20) Sec 1R (review): 1, 3, 34, 44, 59a   Mon, June 11 Before class:  Read Secs 2.3--2.4 Exercises for Tuesday (06/12) Sec 2.2 (11, 13, 34, 40)   Wed, June 13 Complete reading Sections 2.3--2.4, if you have not already done so. Exercises for Thursday (06/14) Sec 2.2 (21, 30) Sec 2.3 (11, 13, 28, 29, 33, 35, 36, 43). Using difference quotients, show that the derivative of an even function is an odd function.   Fri, June 15 Before class:  Read Sections 2.5--2.6 Exercises for Tuesday (06/19) Sec 2.4 (2,  14, 19) Sec 2.5 (2, 10, 11, 17, 21, 22, 23)   Mon, June 18 Before class:  Read Sections 3.1--3.2 Exercises for Tuesday (06/19) To be filled in   Wed, June 20 Before class:  Read Section 3.3 Exercises for Thursday (06/21) Sec 3.1 (8, 23, 28, 35, 36, 37, 51, 53, 60, 62, 65). Sec 3.2 (1, 3, 5, 7, 25, 31, 36, 37, 42, 43)   Fri, June 22 Before class:  Read Sections 3.4--3.5 Exercises for Tuesday (06/26) Chap 2, Check you Understanding (pages 106-107), questions 1-25.  (For class discussion; you do not need to turn these in.) Sec 3.3 (3, 5, 11, 16, 22) Sec 3.4 (3, 5, 8, 23, 24, 42) Find a product rule for the second derivative, i.e., a formula for (fg)''. Make the formula as simple as possible.  Then try to find a product rule for the third derivative, i.e., a formula for (fg)'''.  Can you guess the product rule for the n'th derivative?   Mon, June 25 Exercises for Tuesday (06/26) Section 2 review exercises (pages 103--06), exercises 10, 17, 19, 28 Sec 3.5 ( 3, 4, 6, 8, 11, 16, 17) Consider  lim h --> 0  ( f (x+2h) - 2 f (x+h) + f (x) ) / h2.   Try to figure out what important quantity this limit represents?   Wed, June 27 Before class:  Prepare for midterm exam, and read Sec 3.6 Exercises for Thursday (06/28) Sec 3.4 (34, 38, 45, 48, 63, 71) Sec 3.5 (28, 37, 42, 46) Sec 3.6 (1, 3, 6, 15, 16)   Fri, June 29 Before class:  Read Secs 3.7--3.9 Exercises for Tuesday (07/03): Sec 3.6 (24, 27, 31, 51, 52) Sec 3.7 (2, 8, 11, 15, 23, 27, 28) Sec 3.8 (2, 5, 10, 15)   Mon, July 2 Exercises for Thursday (07/05) Sec 3.9  (2, 4, 17, 21) Sec 3.10  (2, 3, 4, 5, 6, 14, 15) Chap 3 Review Exercises, page 159  (1, 4, 6, 11, 19, 32, 33, 34)   Fri, July 6 Before class:  Read Secs 4.1--4.3 Exercises for Tuesday (07/10) Chap 3 Review Exercises, page 159 (39, 40, 44, 67) Sec 4.1 ( 6, 7, 18, 19, 20, 21, 27, 28, 36, 42) Sec 4.3 ( 6, 11, 15, 20, 22, 28, 29) Find the all local minima, local maxima, and inflection points of  f (x) = x6 - 6 x + 2. Find all inflection points of  g (x) = sin(x) + cos(2x) /4 + x /10   Mon, Jul 9 Before class:  Read Secs 4.4--4.5   Wed, Jul 11 Before class:  Read Secs 4.6, 5.1 Exercises for Thursday, Jul 12 Sec 4.5 (3, 4, 13, 19, 21, 22, 28. 32) Sec 4.6 (1, 4, 12, 22, 24, 27)   Fri, Jul 13 Before class:  Read Sec 5.2 Exercises for Tues, Jul 17 Sec 5.1 (3, 7, 8 11, 15) Sec 5.2 (7, 10, 14, 22)   Monday, Jul 16 Before class:  Read Sec 5.3 Exercises for Tues, Jul 17 Sec 5.3 (4, 5, 6, 10, 13, 15, 21, 25, 30, 31)   Wed, Jul 18 Before class: Read Sec 5.4   Fri, Jul 20  (8:00 a.m. to 10:00 a.m.)   Final exam  (room to be announced)

 

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