MATH 191 – Spring 2008

Calculus for Engineers

Textbook: Thomas, Weir, Haas, and Giordano, Thomas' Calculus (Edition: 11), Pearson Addison-Wesley, 2005 (ISBN: 0-321-18558-7).

 

 

 

Check for updates!

 

 

 

 

 

Office Hours

Location

Email

Lecturer

Guang (Dennis) Yang

3:00–5:00 p.m. on Monday (or by appointment)

MT 227

gy26@cornell.edu

TA

Kwang Taik Kim

3:00–5:00 p.m. on Thursday (or by appointment)

MT 218

kk274@cornell.edu

 

 

 

 

Time

Location

Lecture

MWF 12:20–1:10 p.m.

MT 406

Section 1

F 2:30–3:20 p.m.

UP 207

Section 2

F 1:25–2:15 p.m.

UP 207

 

 

 

 

Points

Date

Time

Location

Additional Information

HW

100

N/A

N/A

N/A

HW rules, assignments

Prelim 1

100

2/19/2008

7:30–9:00 p.m.

MT 253

Exam rules

Prelim 2

100

3/27/2008

7:30–9:00 p.m.

PH 203

Exam rules

Prelim 3

100

4/22/2008

7:30–9:00 p.m.

PH 203

Exam rules

Final

200

5/16/2008

9:00–11:30 a.m.

MT 251

Exam rules

Overall

600

N/A

N/A

N/A

 

 

Academic Integrity:

Absolute integrity is expected of every Cornell student in all academic undertakings as written in the Cornell University Code of Academic Integrity.  In this course, students may work alone or in groups (see “About Working Together” below) on the homework, but are to turn in all homework individually and acknowledge by name those persons who have provided any assistance.

 

About Working Together:

We have no objection in principle to discussion of the homework. However, one person simply telling another how to do a problem totally defeats the purpose of the problem. You get maximum benefit from a homework problem if you work hard on it alone before combining your ideas with someone else’s. The paper that you turn in should be in your own words, even if you arrived at some of those solutions via discussions with others. In particular, you may not simply copy someone else’s homework and turn it in as your own. This will be treated as a violation of Cornell’s Code of Academic Integrity. Similarly, copying solutions that you might find on the web, from students who have taken the course in previous years, or from some other source will be considered to be a violation.

 

HW Rules:

  • Friday, Monday, and Wednesday’s homework assignments are due at the beginning of the following Friday’s recitation.
  • No late homework is accepted except for cases such as:

medical emergency, course/training/sport-related field trip, etc. (Email the lecturer or the TA at the earliest possible time to explain the situation. Attach the email printout as the cover page of the homework when you turn it in.)

 

Exams Rules:

  • Calculators and books are not allowed at the exams.
  • Each student may bring a single 8-1/2×11 sheet of paper, hand written personally by the student on both sides, containing any information that the student wishes to have access to during the exam.
  • No makeup exams are anticipated. Students with special needs (such as extra exam time due to reasons approved by the university) can be accommodated by contacting the lecturer.

 

 

 

Lecture Schedules and Homework Assignments

Week

Day

Topic

Assignment

Solution / Notes

1

M

1/21

5.1 Estimating with Finite Sums

5.1: 2, 4, 10, 14 (use 5 intervals of equal length in 14)

HW1

W

1/23

5.2 Sigma Notation

5.2: 2, 6, 16, 24, 38

F

1/25

5.2 Limits of Finite Sums / 5.3 Definite Integrals

5.3: 2, 6, 14, 22, 60

HW2

Section Notes

2

M

1/28

5.3 cont. / 5.4 The Fundamental Theorem of Calculus

5.4: 14, 24, 28, 30, 36, 43

W

1/30

5.4 cont.

 

F

2/1

5.5 Indefinite Integrals and the Substitution Rule

5.5: 4, 8, 12, 16, 22, 36, 50

HW3

Section Notes

3

M

2/4

5.6 Substitution and Area Between Curves

5.6: 8, 12, 38, 40, 46

W

2/6

6.1 Volumes by Slicing and Rotation about an Axis

6.1: 2, 10, 44, 46, 50

F

2/8

6.2 Volumes by Cylindrical Shells

6.2: 4, 10, 22, 24, 34

HW4

Section Notes

4

M

2/11

6.2 cont. / 6.3 Length of Plane Curves

6.3: 2, 12, 24, 28, 30

W

2/13

6.3 cont. / 6.4 Moments and Centers of Mass

6.4: 4, 8, 12, 36

F

2/15

6.4 cont. (Thin Wire)

 

HW5

Section Notes

Prelim 1

Solution

5

M

2/18

6.5 Areas of Surfaces of Revolution

6.5: 6, 12, 14, 36, 38

T

2/19

Prelim 1 (5.1—6.4) 7:30–9:00 p.m. in MT 253    

Fall 04 (Solution), Fall 05 (Solution), Fall 07

W

2/20

6.6 Work

6.6: 7, 9

F

2/22

6.7 P & F / 7.1 Inverse Functions & Their Derivatives

6.7: 17; 7.1: 14, 16, 29, 32, 34

HW6

Section Notes

6

M

2/25

7.2 Natural Logarithms

7.2: 2, 22, 38, 52, 58

W

2/27

7.3 The Exponential Function

7.3: 4, 26, 50

F

2/29

7.4 a^x and log_a (x)

7.4: 6, 8, 20, 64, 72

HW7

Section Notes

7

M

3/3

7.5 Exponential Growth and Decay

7.5: 6, 8, 18, 25

W

3/5

7.6 Relative Rates of Growth

7.6: 4, 6

F

3/7

7.6 o( ) vs O( ) / 7.7 Inverse Trig Functions

7.6: 10

HW8

Section Notes

8

M

3/10

7.7 Inverse Trig Functions

7.7: 4, 6, 8, 10, 14

W

3/12

7.7 cont. (Evaluation & Derivatives)

7.7: 22, 24, 32, 36

F

3/14

7.8 Hyperbolic Functions

7.8: 8, 10, 14, 26

HW9

Section Notes

Prelim 2 Sol.

10

M

3/24

8.1 Basic Integration Formulas

8.1: 4, 42, 52, 62, 66

W

3/26

8.2 Integration by Parts

8.2: 4, 8, 24, 26, 28 (due on 4/4)

Th

3/27

Prelim 2 (5.1—7.8) 7:30–9:00 p.m. in PH 203     

Fall 05 (Solution), Fall 06, Fall 07

F

3/28

8.3 Partial Fractions

8.3: 8, 14, 20, 24, 30, 38

HW10

Section Notes

11

M

3/31

8.4 Trigonometric Integrals

8.4: 4, 20, 30, 36, 38

W

4/2

8.5 Trigonometric Substitutions

8.5: 2, 8, 16, 28, 34

F

4/4

8.7 Numerical Integration

8.7: 12, 20, 26, 28a, 32

HW11

Section Notes

12

M

4/7

8.7 cont. / 8.8 Improper Integrals

8.8: 6, 24, 26, 30

W

4/9

8.8 Tests for Convergence and Divergence

8.8: 52, 54, 58, 64

F

4/11

11.1 Sequences

11.1: 16, 32, 50, 82

HW12

Section Notes

Solution

13

M

4/14

11.2 Infinite Series

11.2: 12, 14

W

4/16

11.2 cont.

11.2: 6, 16, 30, 34, 48

F

4/18

11.3 The Integral Test

11.3: 2, 6, 18, 28, 39

HW13

Section Notes

14

M

4/21

11.4 Comparison Tests

11.4: 4, 9, 16, 35, 36

T

4/22

Prelim 3 (5.1—11.2) 7:30–9:00 p.m. in PH 203

Fall 05 (Solution), Fall 06, Fall 07

W

4/23

11.5 The Ratio and Root Tests

11.5: 10, 20, 22, 23

F

4/25

11.6 Alternating Series

11.6: 6, 10, 18, 39, 40, 48

HW14

Section Notes

15

M

4/28

11.7 Power Series

11.7: 10, 12, 20, 24

W

4/30

11.8 Taylor & Maclaurin Series

11.8: 12, 14, 21

F

5/2

11.9 Error Estimates of Taylor Series

Practice Problems: 11.9: 8, 17 (both up to x^3), 23, 24, 25

Solution

 

F

5/16

Final Exam, 9:00 AM - 11:30 AM, MT 251

 

 

 

 

 

Extra Help:

  • Math Support Center (room: MT 256, phone: 5-4658)
  • Engineering advising office (room: OH 167)
  • Tau Beta Pi (phone: 5-3312)
  • SHPE and NSBE at Ujamma

 

 

 

Updates: