Last updated December 12, 2005
Department of Mathematics, Louisiana State University, Baton Rouge
Math 1550 Calculus I
Fall 2005 Section 1, 7:40-8:30 MTWTF, 0116 LOCKETT
Professor James J. Madden

IMPORTANT INFORMATION!

1) FINAL EXAM: Wednesday, December 14, 10:00AM--NOON in regular classroom.

2) Students who wish to compensate for a low grade of the Chapter 4 test have the following options:

Satisfactory performance on any of these options will raise the grade you received for the last 60 points of the chapetr 4 test to passing. If you already got over 36 points on these parts of the test (or were close to 36), you can raise your score by up to 12 points.

TUTORING

Lecture topics and homework assignments.
(The departmental syllabus is here.)

Day
and
Date
Text
Section
Topics
Notes
Homework Problems Assigned
M
8/22
1.1
Funtions, their representations ans uses. First Day Announcements 47,48 (page 24)
T
8/23
1.1
Functions; mathematical writing. Discussed 47, 48. 53 (page 24) to hand in on 8/24. (Best submitted work.)
W
8/24
2.1
Rate of change   Homework Problem is here.
T
8/25
2.1
Rate of change and limits worked hw from 8/24 in detail and introduced idea of limit Using the mehods discussed in class, find the rate at which the object in the homework problem for 8/24 is falling when t = 1. Hand in on 8/26.
F
8/26
2.2
Limits Concept of a limit; examples; how limits can fail to exist; one-sided limits; infinite limits 1-6(page 102)
T
9/6
2.2, 2.3
Review past material. Limits; limit rules The following rule, not in your book, is used frequently: If f(x)=g(x) except possibly when x=a, then f and g have the same limit at a. Read 2.3
W
9/7
2.3
Limit rules - Section 2.3, 1-19 odd
Th
9/8
2.3, 2.4
Examples. Delta-Epsilon defn of limit. - Section 2.3, 21-29 odd
F
9/9
2.5
Continuity - Section 2.5, 1-19 odd
M
9/12
2.5
More on continuity Trig functions; composite functions. Section 2.5, 31-41 odd
T
9/13
-
Misc. topics Review of exponential functions; examples from homework Section 2.5, 21-31
W
9/14
-
Review for quiz: limits and how they can fail to exist.
-
-
Th
9/15
-
QUIZ 2.2-2.5
-
-
F
9/16
2.7
Slope of tangent line, instantaneous rate of change, and velocity expressed as a limit. - p. 156. # 9.
M
9/19
2.8
Quiz returned; common errors discussed. The derivative as a function. - p. 163. # 13, 15, 17.
T
9/20
2.9
On the differentaibility of the square root function. - At what points is y=|x| differentiable?
W
9/21
2.9
On the differntiability of y=|x| - p. 173: 27, 29, 31.
Th
9/22
-
Review - Review, Review Answers 1-4, Answers 5-8 (Note: Nothing like the more complex problems in #7 will appear on the test)
F
9/23
2.9
Plotting derivatives - p. 173: 1-11 odd.
M
9/26
-
Class Cancelled (RITA) - -
T
9/27
Ch. 2.
Review - -
W
9/28
-
Chapter 2 Test - Answers page 1, page 2, page 3
Th
9/29
3.1, 3.2
Derivative Rules See summary of derivative rules on page 197 page 191:3-31(odd)
page 197:3-8 (all)
F
9/30
3.3
Velocity and other rates of change -

Hand In on Monday, Oct. 3:
Page 208-210: # 10, 16, 30
SOLUTIONS

M
10/3
3.4
Derivatives of trig. functions Rules and practice page 216, #1-19 odd
T
10/4
3.5

Rigorous proof of (sin x)' = cos x.
Intro to chain rule.

On limit of (sin h)/h as h->0 Hand in Wednesday: page 216, #20.
Also, read section 3.5 and attept p. 224, #5, 13 .
W
10/5
3.5
Chain rule... ...viewed 2 ways graphically and three ways symbolically Page 224, 1-41 odd.
Th
10/6
Review
Advanced problems with chain rule; take-home assignment from 9/30    
M
10/10
3.6
Implicit differentiation Also discussed "graph of a function" versus "graph of an equation" Page 233-4: #1-19(odd), 25, 27
T
10/11
3.7
Higher derivatives velocity, acceleration, jerk Page 240-1: #1-19(odd), 49, 51
W
10/12
3.8
Derivatives of logaritmic functions   Page249; 1-23 (odd)
Th
10/13
3.8, 3.9
Quiz (3.1-6)    
F
10/14
3.10
Related Rates   Page 260, 8--12
M
10/17
3.10
Quiz returened, structure of expressions, more related rates   Page 260, 13--16
T
10/18
3.10
Related Rates    
W
10/19
3.10
Related rates Did # 32  
Th
10/20
4.1
Max/min on closed intervals   REVIEW SHEET. Selected Answers.
F
10/21
-
Chapter 3 TEST   Test answers page 1, page 2
M 10/24 4.1, 4.2 Rolle's Theorem, MVT   4.1 (page 287): 47, 49, 51, 53, 55
T
10/25
4.2, 4.3
MVT, meaning of f'=0, f'>0   4.3 (page 304) 1--6 (ignore questions concerning concavity for now)
W
10/26
4.3
Examples. Geometric meaning of 2nd deriv.   4.3 (page 304) 11-25 odd
Th
10/27
4.3
Quiz (4.1) Further examples.
Inflection points.
  4.3 (page 305) 33, 35 37, 39, 41, 43
F
10/28
4.7
Optimization problems   4.7 (page 336) 3,5,6, 7, 9
M
10/31
4.7
4.7, Problems 10 and 11   4.7 (page 336) 10, 11 (Complete solutions)
T
11/1
4.7, 10
4.7, Problem 15; antiderivatives the point on a line closest to P 4.7 (page 336) 16 (hand in), 17. 4.10 (page 358) 1-15 odd.
W
11/2
4.7, 10
Antiderivatives. More on optimization. the point on an ellipse closest to P 4.7 (page 336) 28 ("Norman Window" problem); 4.10 (page 358) 25-41 (odd).
Th
11/3
4.4, 7
l'Hopital's Rule. More on optimization. discussed "Norman Window" problem 4.4 (page 313); 5,9,11,13,15,25,27-35(odd).
F
11/4
4.9
Newton's Method. More on optimization.   4.9 (page 351): 5, 7, 31 (31 was not assigned in class, but is recommended). 4.7 (page 336): 31, 44.
M
11/7
5.1
See notes

Class to be taught by Fareed Hawwa

378: 2,3,11,13
T
11/8
5.2
See notes Class to be taught by Patricio Jara 391: 3,17,19,21,23
W
11/9
5.2
See notes Class to be taught by Julius Esunge 392: 47,48,49,50,51,53
Th
11/10
  Review for test    
F
11/11
  Chapter 4 test    
M
11/14
5.3
The Fundamental Theorem of Calculus (FTC)   402: 7-17 (odd)
T
11/15
5.3
FTC, cont.   402-3: 19-41 (odd), 49, 51
W
11/16
5.4
Indefinite Integrals   411: 1-39 (odd)
Th
11/17
5.5
Substitution (definite integrals)   421: 49, 51, 53, 55
F
11/18
5.5
Substitution (in antiderivatives) Ch 4. test returned 421: 19-35(odd), 57-65(odd)
M
11/21
6.1
Areas between curves   442: 5,7,9,15,17,47
T
11/22
6.2
Solids of revolution annulus method 452: 3,5,7,9,11
W
11/23
6.2
Miscellaneous topics Coffee day!  
--
--
---
Thanksgiving Break    
M
11/28
6.3
Solids of revolution shells 458: 3, 5, 7, 11, 13, 15
T
11/29
6.4
Work   463: 7
W
11/30
6.4, 6.5 Work, Average value of a function   463: 13, 467: 13, 19.
Th
12/1
8.1
Arc length    
F
12/2
---
Chapter 5 (+6.1, 6.2) test   Review sheets: page 1, page 2.
M
12/5
8.1
Arc Length   552: 3,4; Review 362: 7,8,9,10; 364: 74.
T
12/6
8.2
Surface Area   559: 7,11; Review 339: 49.
           
           
           

Tutoring

The Office of Multicultural Affairs will be offering tutoring under The Genesis Tutoring and Mentoring Programs. The Genesis Tutoring Program, working with the Center for Academic Success, offers mentoring, peer counseling, and free tutorial services. The Genesis tutorial staff is comprised of successful, experienced students who have been trained to help students master difficult concepts, identify key ideas, and prepare effectively for exams. The Genesis Tutoring Program is open Monday-Thursday from 5-9pm in the Office of Multicultural Affairs (332A in LSU Union). Any student interested in receiving tutoring or peer mentoring should call 225/578-7347 or email genesislab@lsu.edu


The Center for Academic Success will be offering SI session in the following Math classes this semester:

Math 1550
SI Leader: Garret Wassemann Instructor: McAllister
Session Times: Tuesday 2:30 - 3:30 Coates 170
Wednesday 2:30 - 3:30 Coates 170
Thursday 5:30 - 6:30 Coates 170

SI Leader: Robert Creel Instructor: Winslow
Session Times: Monday 11:30 - 12:30 Coates 232
Tuesday 1:30 - 2:30 Coates 232
Thursday 2:30 - 3:00 Coates 232

For those of you who are unfarmilar with the SI program the SI leader attends the assinged class and prepares study sessions for any student registered in the course. The sessions are free of charge.