Math3A : Course Outline for Winter 2012

Math 3A is the first quarter of the "fast" calculus sequence at UCLA. It aims to provide students with the fundamental ideas and tools of calculus that will put them in a good position for understanding more technical work in their own areas.

You are welcome to use your calculator on homework assignments but we will not be using them on the exams. I have used both the TI 84 and the TI 89, so if you bring one to office hours, I will know how it works. However, a (graphing) calculator is not required for the course and will never be used on our exams.

Text

	Calculus for Biology and Medicine, Third Edition by Claudia Neuhauser Price to Student $66.99

Meetings

Our class meets 3 days per week , Monday ,Wednesday and Friday in Franz 1178 . Lecture 1 meets there at 9 am, lecture 2 meets there at 1 pm. Lecture 1 and Lecture 2 both have the same meeting place, Franz 1178. (You will also meet with your Teaching Assistant (TA) two times per week . Your meeting place and time can be found in the table below. You will find these meetings very valuable . Here you will have the chance, in smaller groups , to discuss questions with your TA or to hear your TA clarify a lecture topic that you may not have understood the first time.

Do not miss my class . Everyday , I will do something new , important and vital to your understanding of Mathematics.

Homework

Homework assignments will be posted in the table below. . Check our class page each day to see what assignments are posted and to see any other announcements . Homework will usually be collected each Friday--The first two assignments are not collected on Friday due to the holiday and our schedule. Late Homework will not be accepted . Homework is due at the beginning of class. ( At the end of the quarter, I will drop your two lowest homework grades before calculating your HW average. Missed or late homework can therefore be simply dropped. ) Some homework may be given as an online assignment if I can get the site set up in time. Stay tuned for news about this.

Grading Policy

You will have two exams during the course and a final exam at the end of the course :
Exam 1 will be on Monday FEBRUARY 6 and Exam 2 will be on Wednesday March 7 . Mark these days on your calendar now.

I will use this scheme below to assign your final grade .

Exam 1	25%
Exam 2	25%
Homework Grade	15%
Final Exam	35%

There will be no make up midterm exams . If you miss a midterm exam for any reason, I will use this scheme below to assign your final grade .

Your one Exam grade	25%
Homework Grade	15%
Final Exam	60%

If you take both exams, but the second scheme gives you a better final course grade, I will use the second scheme.

I plan to use the MY UCLA gradebook(click )

5.8

Date	Lecture Topics	Notes	HW
Preparation Monday Jan 9 HELLO!	Are you ready for Math 3A?	Look at the online textbook I have listed in the next column, try some excercises and make sure you KNOW everything that is in Chapters 1.	Review Chapters 1 from this online Calculus Help Book. Do some of the excercises to be sure you are ready for the first day of class. Today we did a "motivation lecture " for LIMITS , sec 3.1 in Neuhauser . Read SOBC page91-96 , try page 96 11.6, 11.9 and 11.13 : This is for you to practice , not collected
Wed January 11	3.1 Limits	Read Neuhauser section 3.1 Look in SOBC for the corresponding section on limits if you want to look at more examples.
Friday January 13	3.2 Continuity	Read Neuhauser 3.2 Look in SOBC for the corresponding section on continuity if you want to look at more examples.	HW #1 due Wednesday January 18th. #7,11-13,21,25,26,27 -- click here ! # 4,7,8,11,22,28,33-40,43,49,52,59,64,65,67---click here
Monday January 16	No class today
Wednesday January 18	3.3	Limits at infinity
Friday January 20	3.4 Trig limits		HW #2---due today Friday January 20 SOBC page 96 11.7, 11.8, 11.10 and 11.13 ---4 problems = hw #2 ALSO do From Neuhauser: 3.1 # 3,11,14,19,20,29,32,33,34,47,49,50
Monday January 23	3.5	Properties of Continuous Functions
Wednesday January 25	4.1	The Derivative
Friday January 27	More about the derivative , 4.2	Basic Rules of Differentiation	HW #3 due today January 27 From Neuhaus er : 3.2 # 6,7,12,15,16,19,20,22,26,45,47 3.3 # 1,4,9,15,20,27,28 3.4 # 2-5,7,12,15----find online graphing calculator by searching if you do not have one. Online graphing calculator
Monday January 30	4.3 Product rule and Quotient rule for derivatives
Wednesday February 1	4.1 - 4.3 more discussion		Practice and answer key for Exam I
Friday February 3	4.4 The Chain Rule	MORE Practice for Exam I SOBC page 69 # 8.5, page70 # 8.10, 8.12 page 80 # 9.7 a, g, q and 9.8 page 89 10.10, 10.13, 10.15 a, b Neuhauser : 4.1 # 23,25,26,42 4.2 #43	HW #4 due today Friday FEB 3 From Neuhauser : 3.5 # 2,4,5,6,7 4.1 #1-8 ( for 1-8, do not need to do any algebra, just draw the graph and read the answer from your graph) ,13,15,18,24,30,31,,34,47,49,51,57,59 4.2 # 4,7,10,18,22,27,34,47,65,68,71,75 assignment complete
Monday February 6	Exam I	Correction to exam location Lecture 1 : Last name begins with A-O, go to Franz 1178; last name begins with P-Z go to KINSEY PAVILION 1200B Lecture 2 : Last name begins with A-H, go to BUNCHE 1209B; last name begins with I-Z go to Franz 1178	Topics : Everything we have studied up until and including 4.2
Wednesday February 8	4.4	READ SOBC page 158-160 examples 20.1- 20.4 , very helpful
Friday February 10	4,4, finish		HW #5 due today Feb 10----Changed to Monday FEB 13 ! Neuhauser 4.4 ; # 3,5,6,10,17,29,32,35,36,40,48,50,55,57,73,77,80---SOBC page 130 # 15.12 and 15.14 : end of Hw #5 RELATED RATES--Print this now !
Monday February 13	4.5	Derivatives of TRIG functions
Wednesday February 15	4.6	Derivatives of exponential functions	4.6 When you read this section, begin reading on page 217 where it says " Recall that f is an exponential function if f(x)= a^x
Friday February 17	No class today , I will not be on campus.	More Related Rates help from the link on the top of this table.	HW #6 is due Friday Feb 24 SOBC page 161 20.5-20.10 SOBC page 136 : 16.7 c and 16.8 b Neuhauser 4.5 # 1,3,11,16,23,28,36,40,59,61,62 4.6 # 1,3,11,17,21,29,33,34,41,46,61,64,65,70-73----SOBC page 306 read 36.7 and 36.8 and then do page 307 : 36.11, 36.15, 36.17 and 36.18 end of Hw #6
Monday February 20	No class today President's Day holiday No classes at UCLA
Wednesday February 22	4.7	Derivatives of Inverse Functions
Friday February 24	4.8		HW #6 is due today
Monday February 27	5.1	The Mean Value Thm and Extreme values of a function	READ SOBC page 139 # 17.1, next page, 17.2, 17.3, 17.5,
Wednesday February 29	5.2	Curve Sketching , the First and Second Derivative Tests
Friday March 2	5.3	Extrema , inflection points and Graphing . Finding Max and Min values.	HW #7 is due today Neuhasuer section 4.7 # 19-22, 25,31,35,39,43,49,61 4.8 # 1,2,5,11,13,21,26 SOBC page 233 # 28.15 and 28.24 on the next page. SOBC page 320 # 37.15, 37.17 , 37.21, 37.22 Neuhauser section 5.1 # 1,3,7,9,11,19,20,23,26,27,33,35,36,41,48
Monday March 5	5.3 More on graphing , begin 5.4 (Optimization) ( if time )
Wednesday March 7	Exam II 4.3-4.8 and 5.1-5.3	Lecture 1 : Last name begins with A-O, go to Franz 1178; last name begins with P-Z go to KINSEY PAVILION 1200B Lecture 2 : Last name begins with A-H, go to BUNCHE 1209B; last name begins with I-Z go to Franz 1178
Friday March 9	5.4	Optimization, begin L'Hospital's Rule
Monday March 12	5.5 L'Hospital's Rule	HW #8 is due today SOBC 17.10 a,c,e ; 17.12 g,h ; 17.25 Neuhauser section 5.2 # 19,20,33 section 5.3 # #5,17,22,26,33,39	I am about to assign hw problems from L'Hospitals rule and antiderivateves, it will not be collected but this material will be on Final Exam .
Wednesday March 14	Antiderivatives
Friday March 15	Review