Math 191: Engineering Calculus

Math 191 Home Page
Engineering Mathematics
Spring 2004

Instructor: Kasso Okoudjou, 411 Malott Hall, kasso@math.cornell.edu, Phone: 255-7244.

Office Hours: Wednesday 2:00 - 3:00 p.m., Friday 10:00 - 11:00 a.m. (or by appointment)

Teaching Assistant: Sovan Das, 230 Thurston Hall, sd244@cornell.edu , Phone: 255-0438.

Office Hours: Friday 3:30 - 5:30 p.m.

Lecture: MWF 12:20 - 1:10 p.m., SS 105

Recitation: F 2:30 - 3:20 p.m., HO 320

TEXT: Thomas' Calculus by Thomas, Finney, and Weir, 9th Alternate Edition is the text for the course.
Note that the 10th and the alternate edition are not compatible. Nevertheless, you do not lose anything if you check Thomas' calculus web site about the 10th edition, where you can Visualize Calculus or take online Skill Mastery Quizzes.

Grading: There will be three prelims, each worth 100 points, and a final worth 200 points. Together homework and quizzes will count for another 100 points. Class attendance is not part of your grade, but in some sense it counts for you, but not against you. Attending classes and doing your homework are the two major factors that will help you learn the subject.

Syllabus & Homework Assignments: The following are the reading and homework assignments for the course. There are a few problems in which you might have to use calculators, but in general calculators are not allowed in classes/examinations.
The date in the first column below is when the section is covered in lecture and the date in the last column is when your homework assignments for a given subject are due. Note that they are due in recitation on Friday. No late homework will be accepted. If you cannot attend Friday's recitation, you must hand in your homework before the date it is due. You should write up your homework sets by yourself; copying solutions from each other violates Cornell's Code of Academic Integrity and is strictly prohibited.
You do not have to hand in the problems in parentheses '()'.

For a printable spreadsheet of the following chart, click here.

Assigned Homework:

Date Day Sections Covered Homework Assignment Due Date

26-Jan M 1.5 Continuity 6,10,14,32,38,(60) 30-Jan

28-Jan W 1.6 Tangents
2.1 Derivatives 8,26,30,(32)
12,14,32,42 30-Jan

30-Jan F 2.2 Differentiation rules 10,20,42,46 6-Feb

2-Feb M 2.4 Derivatives of trig functions 10,16,24,38,56,(62) 6-Feb

4-Feb W 2.3 Rate of Change
2.5 Chain Rule 10,24,44
8,14,48,60 6-Feb

6-Feb F 2.6 Implicit differentiation 26,54,(60) 13-Feb

9-Feb M 2.7 Related Rates 8,16,20,36 13-Feb

11-Feb W 3.1 Extreme Values 14,22,24,28,32 13-Feb

13-Feb F 3.3 Graphs 8,16,32,46 20-Feb

16-Feb M 3.4 Graphing with y' and y''
3.5 Asymptotes 6,16,24
8,22,26,36,48,(108) 20-Feb

18-Feb W 3.6 Optimization 12,14,16,(30) 20-Feb

20-Feb F 3.7 Linearization
3.8 Newton's Method 6,14,48,(56)
6,(9) 27-Feb

23-Feb M Prelim 1, Review

24-Feb T Prelim 1

25-Feb W 3.2 Mean Value Theorem
4.1 Indefinite Integrals 4,10,20,(30)
16,26,36,64,(70) 27-Feb

27-Feb F 4.2 Initial Value Problems 2,14,28,32,(50) 5-Mar

1-Mar M 4.3 Substitution 10,12,20,38,(60) 5-Mar

3-Mar W 4.5 Riemann Sums 32,40 5-Mar

5-Mar F 4.6 Mean Value Theorem 26,30,36 12-Mar

8-Mar M 4.7 Fundamental Theorem 16,30,46,78,(63) 12-Mar

10-Mar W 4.4 Estimating with Finite Sums
4.9 Numerical Integration 4,8,(10)
24,26 12-Mar

12-Mar F 5.1 Areas Between Curves
5.2 Volumes by Slicing 6,18,34,50,(52)
2b,4,8,10,(14) 19-Mar

15-Mar M 5.3 Volumes of Revolution
5.4 Cylindrical Shells 2,8,16,28
2,20,36 19-Mar

17-Mar W 5.5 Lengths of Curves 10,20,24 19-Mar

19-Mar F 6.1 Inverse Functions 10,24,34,(46) 2-Apr

22-Mar M Spring Break

24-Mar W Spring Break

26-Mar F Spring Break

29-Mar M Prelim 2, Review

30-Mar T Prelim 2

31-Mar W 6.2 Natural Logarithms 2c,4,20,30,46,48,64,68 2-Apr

2-Apr F 6.3 Exponential Functions
6.4 a^x and log_a(x) 2,4,10,12a,26,54,64
38,46 9-Apr

5-Apr M 6.5 Growth and Decay
6.11 Separable Differentiable Equations 8,18
10,14 9-Apr

7-Apr W 6.8 Inverse Trig Functions 4,16,18,40,(53) 9-Apr

9-Apr F 6.9 Derivatives of Inverse Trig Functions 10,30,68,76 16-Apr

12-Apr M 7.1 Integration Formulas 8,20,34,46,(54) 16-Apr

14-Apr W 7.2 Integration by Parts 6,22,28,34 16-Apr

16-Apr F 7.2 Integration by Parts (cont.) 8,20,(40) 23-Apr

19-Apr M 6.6 L'Hopital's Rule 6,10,16,20,(54) 23-Apr

21-Apr W 6.6 L'Hopital's Rule (cont.) 32,42,50,(60) 23-Apr

23-Apr F 7.3 Partial Fractions 6,10,18,26 30-Apr

26-Apr M Prelim 3, Review

27-Apr T Prelim 3

28-Apr W 7.3 Partial Fractions (cont.) 32,36,44 30-Apr

30-Apr F 7.4 Trig Substitutions 8,10,16,30,(46) 7-May

3-May M 6.10 Hyperbolic Functions 2,6,18,26,(88) 7-May

5-May W 6.10 Hyperbolic Functions (cont.) 68,70,72,(87) 7-May

7-May F Final Exam Review

TBA TBA Final Exam

Homework Solutions: Solutions to each homework assignment will be posted here after the assignment is due.

Date Due Sections Covered Solutions

Jan. 30 1.5,1.6,2.1

Feb. 6 2.2,2.3,2.4,2.5

Feb. 13 2.6,2.7,3.1

Feb. 20 3.3,3.4,3.5,3.6

Feb. 27 3.7,3.8,3.2,4.1

Mar. 5 4.2,4.3,4.5

Mar. 12 4.6,4.7,4.4,4.9

Mar. 19 5.1,5.2,5.3,5.4,5.5

Apr. 2 6.1,6.2

Apr. 9 6.3,6.4,6.5,6.11,6.8

Apr. 16 6.9,7.1,7.2

Apr. 23 7.2,6.6,

Apr. 30 7.3

May 7 7.4,6.10

Math Support Center: The Math Support Center, 256 Malott Hall, Phone: 255-4658, offers math tutoring. The MSC's schedule will be posted here shortly.

Exam Schedule: Each of the three prelims will be held at 7:30 on the Tuesday evening listed below.

Exam Date Room Material Covered

Prelim 1 February 24 Olin 145 1.5,1.6,2.1 - 2.7,3.1,3.3 - 3.6

Prelim 2 March 30 Olin 145 3.2,3.7,3.8,4.1 - 4.9 (except 4.8),5.1-5.5

Prelim 3 April 27 Olin 145 6.1 - 6.6,6.8,6.9,6.11,7.1,7.2

Final Exam TBA TBA Comprehensive

Practice Exams: Practice exams and solutions to the practice exams will be posted here before each prelim and the final exam.

Exam Practice Exam Solutions

Prelim 1 (Fall 2003) PDF or PS PDF or PS

prelim 1 (Fall 2002) PDF or PS PDF or PS

Prelim 2 (Fall 2003) PDF PDF

Prelim 2 (Fall 2002) PS TBA

Prelim 3 (Fall 203) PS or PDF PS or PDF

Prelim 3 (Fall 2002) PS or PDF PS or PDF

Final (Fall 2003) PS or PDF PS or PDF

Final (Fall 2002) PS or PDF PS or PDF

Final (Fall 2001) 1 and 2 PS

Final (Fall 2000) PDF TBA

Spring 2004 Exams: After each prelim and the final exam, a copy of the exam and a solution set will be posted here.

Exam Solutions

Other Links:

Cornell Engineering: Student Services

Department of Mathematics - Mathematics Library

Cornell University Library Catalog

Cornell University Academic Calendar

CU Info

Date	Day	Sections Covered	Homework Assignment	Due Date
26-Jan	M	1.5 Continuity	6,10,14,32,38,(60)	30-Jan
28-Jan	W	1.6 Tangents 2.1 Derivatives	8,26,30,(32) 12,14,32,42	30-Jan
30-Jan	F	2.2 Differentiation rules	10,20,42,46	6-Feb
2-Feb	M	2.4 Derivatives of trig functions	10,16,24,38,56,(62)	6-Feb
4-Feb	W	2.3 Rate of Change 2.5 Chain Rule	10,24,44 8,14,48,60	6-Feb
6-Feb	F	2.6 Implicit differentiation	26,54,(60)	13-Feb
9-Feb	M	2.7 Related Rates	8,16,20,36	13-Feb
11-Feb	W	3.1 Extreme Values	14,22,24,28,32	13-Feb
13-Feb	F	3.3 Graphs	8,16,32,46	20-Feb
16-Feb	M	3.4 Graphing with y' and y'' 3.5 Asymptotes	6,16,24 8,22,26,36,48,(108)	20-Feb
18-Feb	W	3.6 Optimization	12,14,16,(30)	20-Feb
20-Feb	F	3.7 Linearization 3.8 Newton's Method	6,14,48,(56) 6,(9)	27-Feb
23-Feb	M	Prelim 1, Review
24-Feb	T	Prelim 1
25-Feb	W	3.2 Mean Value Theorem 4.1 Indefinite Integrals	4,10,20,(30) 16,26,36,64,(70)	27-Feb
27-Feb	F	4.2 Initial Value Problems	2,14,28,32,(50)	5-Mar
1-Mar	M	4.3 Substitution	10,12,20,38,(60)	5-Mar
3-Mar	W	4.5 Riemann Sums	32,40	5-Mar
5-Mar	F	4.6 Mean Value Theorem	26,30,36	12-Mar
8-Mar	M	4.7 Fundamental Theorem	16,30,46,78,(63)	12-Mar
10-Mar	W	4.4 Estimating with Finite Sums 4.9 Numerical Integration	4,8,(10) 24,26	12-Mar
12-Mar	F	5.1 Areas Between Curves 5.2 Volumes by Slicing	6,18,34,50,(52) 2b,4,8,10,(14)	19-Mar
15-Mar	M	5.3 Volumes of Revolution 5.4 Cylindrical Shells	2,8,16,28 2,20,36	19-Mar
17-Mar	W	5.5 Lengths of Curves	10,20,24	19-Mar
19-Mar	F	6.1 Inverse Functions	10,24,34,(46)	2-Apr
22-Mar	M	Spring Break
24-Mar	W	Spring Break
26-Mar	F	Spring Break
29-Mar	M	Prelim 2, Review
30-Mar	T	Prelim 2
31-Mar	W	6.2 Natural Logarithms	2c,4,20,30,46,48,64,68	2-Apr
2-Apr	F	6.3 Exponential Functions 6.4 a^x and log_a(x)	2,4,10,12a,26,54,64 38,46	9-Apr
5-Apr	M	6.5 Growth and Decay 6.11 Separable Differentiable Equations	8,18 10,14	9-Apr
7-Apr	W	6.8 Inverse Trig Functions	4,16,18,40,(53)	9-Apr
9-Apr	F	6.9 Derivatives of Inverse Trig Functions	10,30,68,76	16-Apr
12-Apr	M	7.1 Integration Formulas	8,20,34,46,(54)	16-Apr
14-Apr	W	7.2 Integration by Parts	6,22,28,34	16-Apr
16-Apr	F	7.2 Integration by Parts (cont.)	8,20,(40)	23-Apr
19-Apr	M	6.6 L'Hopital's Rule	6,10,16,20,(54)	23-Apr
21-Apr	W	6.6 L'Hopital's Rule (cont.)	32,42,50,(60)	23-Apr
23-Apr	F	7.3 Partial Fractions	6,10,18,26	30-Apr
26-Apr	M	Prelim 3, Review
27-Apr	T	Prelim 3
28-Apr	W	7.3 Partial Fractions (cont.)	32,36,44	30-Apr
30-Apr	F	7.4 Trig Substitutions	8,10,16,30,(46)	7-May
3-May	M	6.10 Hyperbolic Functions	2,6,18,26,(88)	7-May
5-May	W	6.10 Hyperbolic Functions (cont.)	68,70,72,(87)	7-May
7-May	F	Final Exam Review
TBA	TBA	Final Exam

Date Due	Sections Covered	Solutions
Jan. 30	1.5,1.6,2.1
Feb. 6	2.2,2.3,2.4,2.5
Feb. 13	2.6,2.7,3.1
Feb. 20	3.3,3.4,3.5,3.6
Feb. 27	3.7,3.8,3.2,4.1
Mar. 5	4.2,4.3,4.5
Mar. 12	4.6,4.7,4.4,4.9
Mar. 19	5.1,5.2,5.3,5.4,5.5
Apr. 2	6.1,6.2
Apr. 9	6.3,6.4,6.5,6.11,6.8
Apr. 16	6.9,7.1,7.2
Apr. 23	7.2,6.6,
Apr. 30	7.3
May 7	7.4,6.10

Exam	Date	Room	Material Covered
Prelim 1	February 24	Olin 145	1.5,1.6,2.1 - 2.7,3.1,3.3 - 3.6
Prelim 2	March 30	Olin 145	3.2,3.7,3.8,4.1 - 4.9 (except 4.8),5.1-5.5
Prelim 3	April 27	Olin 145	6.1 - 6.6,6.8,6.9,6.11,7.1,7.2
Final Exam	TBA	TBA	Comprehensive

Exam	Practice Exam	Solutions
Prelim 1 (Fall 2003)	PDF or PS	PDF or PS
prelim 1 (Fall 2002)	PDF or PS	PDF or PS
Prelim 2 (Fall 2003)	PDF	PDF
Prelim 2 (Fall 2002)	PS	TBA
Prelim 3 (Fall 203)	PS or PDF	PS or PDF
Prelim 3 (Fall 2002)	PS or PDF	PS or PDF
Final (Fall 2003)	PS or PDF	PS or PDF
Final (Fall 2002)	PS or PDF	PS or PDF
Final (Fall 2001)	1 and 2	PS
Final (Fall 2000)	PDF	TBA