01:640:138:10,11,12 Calculus for the Biological Sciences — Spring 2004

IMPORTANT ANNOUNCEMENTS

FINAL EXAM THURSDAY, MAY 6, 2004, 4PM -- 7PM, LOREE 024

  1. Here is a Review sheet for the second midterm.   
  2. Here is a Answer sheet for the review sheet for the second midterm.   
  3. Special Permission for all mathematics courses is handled by the Mathematics Department, not the instructor.  If you are not registered for this course but wish to be, please go to the Math Department Special Permission page.
  4. You might also want to visit the  Departmental web page for Math 138 for additional information. However, use the syllabus for sections 10, 11, 12 given below, not the syllabus reachable from that web site.
  5. If there is any chance that you might want to take additional mathematics courses, or to take a course with a prerequisite of Calculus II or higher in another department, you should not be in this course.  You should take 01:640:152 this semester. See the Departmental web page for Math 138  for further information on this.
  6. The General Course Information "Exams and Homework:" has been changed from the hard copy handed out on the first day to reflect, besides correct arithmetic, an amount for quizzes that will be decided at the end of the course. It will be between 50 and 100 points. Also added was the statement "No calculators or student provided "cheat sheets" will be permitted on exams."
  7. Here is a Review sheet for the first midterm. Here also Answers for the review sheet are now available. In addition, here are the examples of Taylor polynomials presented at the lecture of 2/18.

    REMEMBER, NO CALCULATORS OR STUDENT PROVIDED CHEAT SHEETS WILL BE PERMITTED ON ANY EXAM. THAT PROHIBITION INCLUDES COPIES OF THE SHEETS GIVEN HERE. You will be provided with a table of integrals with some extra information with your exam book.

  8. A short Maple computer algebra system worksheet concerning The Logistic Equation can be found here.
  9. A histogram and some statistical information conserning the results of midterm 1 can be found here.
  10. Answers for the first midterm exam can be found here. Please let me know of any errors that might have slipped in.
  11. Answers for the second midterm exam can be found here. Please let me know of any errors that might have slipped in.
  12. A histogram and some statistical information conserning the results of midterm 2 can be found here.

General Course Information

  • Lecture Meetings:  MW6(4:30—5:50), HCK138, Douglass Campus
  • Lecturer: Barbara L. Osofsky, Office: 710 Hill Center; email: osofsky@math.rutgers.edu; telephone 732-445-3485;
    home page:  http://www.math.rutgers.edu/~osofsky
  • Teaching Assistant: Thomas Robinson,  email:  thomasro@math.rutgers.edu
  • Office Hours: Currently MW5, Chem 101B (D/C), Th2 Hill 710 (Busch), or by appointment
  • Text: Sheldon Calculus (third edition), by Strauss, Bradley, and Smith, Prentice-Hall.
  • Prerequisites: CALC I – first semester calculus.
  • Exams and Homework: There will be two midterm exams and a final exam, quizzes in recitation, and possibly short unannounced quizzes in lecture, based on the assigned homework problems.  There will be no make-ups for quizzes. No calculators or student provided "cheat sheets" will be permitted on exams.    
  • Grades:  Your course grade will be determined by your total grade as follows:

Midterm Exam #1

100 pts

Midterm Exam #2

100 pts

Quizzes    

50 to 100 pts

Final Exam

200 pts

Total

450 to 500 pts

Tentative Syllabus for Math 138:10, 11, 12, Spring 2004

All chapter numbers refer to the text Calculus (third edition), by Strauss, Bradley, and Smith, except  Lecture 8. There the relevant material is available, with access code, from http://www.prenhall.com/rutgerscalc. You should have gotten this access code when you purchased your textbook for Math 135. Then you were asked to buy a shrink wrapped copy of the text which contained an access card and to retain that card. See the Mathematics Undergraduate Office in 301 Hill Center (Busch Campus) if you do not have such an access card. Sections beginning with a letter refer to two supplements for Math 138 available for download from the Departmental web page for Math 138. 


 

Lecture

Sections

Topics

Homework

1

 

1/21

5.3-5.5

Integration (review)
Definite integral, indefinite integral
Substitution

5.3 3,27
5.4 7,15,19,45
5.5 9,11,13,17,19,21,29,33,39

2

1/26

5.8

Numerical Integration

5.8 3,7,11,13,19,21,27,29

3

1/28

6.6

Economic applications, biological applications.

6.6 21, 22, 23,35,47,49,  55, 57, 58

4

2/2

7.1

Integration by substitution and using tables

7.1 3,5,11,13,15,17,27,31,42,47

5

2/4

7.2

Integration by parts

7.2 1,3,7,13,17,21,22,26,35

6

2/9

7.4

Partial Fractions (linear factors)

7.4 1,3,5,7,15,17, 19,23,27,29,31

7

2/11

7.7

Improper Integrals

7.7 3,5,13,17,19,21,25,27,31,33,35,39,47,49

8

2/16

11.1(on web)

Taylor polynomials

Web, 11.1 1,5,7,13,15,17,21,22,27,29,30

9

2/18

 

Review and catch up

 

10

2/23

 

FIRST MIDTERM EXAM (Lectures 1-9)

 

11

2/25

5.6

Differential equations: Direction fields; Separation of Variables

5.6 1,5,7,9,11,17,20,21,23,25,27,29,43,45,57,61,63

12

3/1

5.6, 14.1

Sep of Var;1st-order linear: Euler's Meth

14.1 4, 7, 25, 26, 27

13

3/3

A1-A2

Growth models, logistic equation

A1 1,2

14

3/8

A2

Logistic equation

A2 1,2 (p. 10)

15

3/10

14.2

2nd-order homogeneous linear diff eqs

14.2 1, 4, 7, 11, 23, 24, 27

 

 

 

SPRING BREAK 3/13--3/21

 

16

3/22

14.2

2nd and higher order linear diff eqns

14.2 6, 15, 18, 21, 25, 46

17

3/24

14.3

Non-homogeneous diff eqns:undet coef

14.3 3, 5, 7, 9, 13, 19,21

18

3/29

14.3

Non-homogeneous diff eqns: var par

14.3 29, 33, 35, 44, 45

19

3/31

 

Review and catch up

 

20

4/5

 

SECOND MIDTERM EXAM (Lectures 11-19)

 

21

4/7

B1

Systems of linear equations and matrices.

B1 1,2a,3a,4,5

22

4/12

B2

Algebra of matrices

B2 1,2,3,5,7,8,10,11,13

23

4/14

B3-B4

Determinants

B3 1,2,3,4,5,6,7;   B4 1,2

24

4/19

B5-B6

Invertible matrices. Cramer's rule

B5 1,2,3,4;  B6 1,2,3,4

25

4/21

B7-B8

Eigenvalues and eigenvectors

B7 1,2,3;    B8 1,2,3,4,5

26

4/26

UMAP (1,2)

Population projection

1 (p. 4), 2 (p. 10)

27

4/28

UMAP (3)

Population projection

3 (p. 12), 4 (p.13)

28

5/3

UMAP (3,4)

Population projection

6,7,8 (p.17)

 

5/6

 

FINAL EXAM  May 6, 4:00—7:00 (Cumulative)

 

Updated: January 25, 2004 by B. Osofsky