Mathematics 138, Calculus II (Bio Sci) - Sections 10,11,12

Spring 2003 - Dr. Pavel Dubovski

Office hours: Monday and Wednesday, 6-7pm., Science building (Douglas campus) # 102 A, phone ext. 2-9378.
E-mail: pdubovski@member.ams.org

Contents: Review materials Textbooks Final Examination Grading Schedule Syllabus

2nd Semester Calculus Courses:

Students who either need to, or might want to, take more than two semesters at some point should not take this course, which is terminal course. They should take Calculus 152 instead, which is the sequel to 151. This is more challenging: if in doubt, consult your current professor or the mathematics department advisor.
Calculus 138 is a terminal course; if you wish to continue on in mathematics you will need Mathematics 152.

Review Information

Formula sheets
Look them over before the tests 		For first midterm
+ A small Table of Integrals 		For second midterm For final examination
Review Sheets
Sample test questions		 First review sheet Second review sheet Supplemental final review sheet
(The first two review sheets should be used.)

Textbooks


1. Tan "Applied Calculus" 5th edition
2. Larson "Calculus. Early Transcendental Functions," chapter 16.
3. Calculus II. Supplement for Math 138. Department of Mathematics, Rutgers University.
4. UMAP (Undergraduate Math and Applications). Module 345. Population projection. Application of Linear Algebra to Population Studies.
The photocopies of texts 2-4 are available at the undegraduate office, Math. Department, Hill Center, Bush campus, floor 3.

Final Exam

Loree 022 Thursday, May 8, 4-7 PM

Grading

There will be about ten or more quizzes. Each quiz will be graded as much as 10 points. The lowest grade will be discarded. If one quiz is missed then it may be graded at the average score. Each midterm exam will be graded as much as 100 points. 150 points for the final exam. Additional points can be earned for the class activity.

Schedule

Time: Monday 4:30-5:50, Wednesday 4:30-5:50

Room: HCK-138 (Douglas Campus)

Exams:

Recitation Classes:

Syllabus

Syllabus for Math 138, Spring 2003

Lecture Sections Topics Homework
1 6.2, 6.5, 12.4 Integration by substitution (review) 6.2 2,3,14,17,23,29,36,37,45,52,53,61,64,65 
6.5 5,8,9,13,21,28,46,49,51
12.4 5,7,15,20,24,25,29,33,34
2 6.6, 12.4 Area between curves 6.6 1,2,5,6,7,20,21,23,33,34,38,39,47
12.4 37,38
3 7.1 Integration by parts 7.1 5,8, 11,13,16,21,26,27,39,40
4 7.2 Integration using tables 7.2 3,7,8,11,15,18,19,20,25,27,32,37
5 7.3 Numerical integration 7.3 3,5,9,10,11,14,17,20,25,27,32,37,39 
6 7.4 Improper Integrals 7.4 1,4,7,9,10,18,19,30,31,33,39
7 11.1 Taylor Polynomials 11.1 11,13,14,16,17,20,25,27,31,33
8 9.1 Differential equations, initial value problems 9.1 4,9,11,13,14,15,16,17,18,19,23
16.1 15,16,19,33,39
9 9.2 Separation of variables 9.2 3,9,11,13,15,18,21,22,31,33,34
16.2 7,17,21,22
10 9.3 Applications 9.3 1,2,3,4,7,9,10,13,16,19
11   Catch-up and review  
12   FIRST MIDTERM EXAM
(Lectures 1-10)		  
13 A1-A2 Growth models, logistic equation A1 1,2
14 A2 Logistic equation A2 1,2 (p. 10)
15 16.4 1st. order linear differential equations 16.4 3,5,6,7,8,11,13,14,15,16,17
16 16.4 1st. order linear differential equations 16.4 19,20,21,24,29,33,39-42,47,48
17 16.5 2nd. order linear differential equations 16.5 8,11,13,16,19,21,25,26,28,31,33,34
18 16.6 Non-homogeneous differential equations 16.6 5,7,9,13,15,21,24,25
19 B1 Systems of linear equations and matrices. B1 1,2a,3a,4,5
20 B2 Algebra of matrices B2 1,2,3,5,7,8,10,11,13
21 B3-B4 Determinants B3 1,2,3,4,5,6,7
B4 1,2
22 B5-B6 Invertible matrices. Cramer's rule B5 1,2,3,4
B6 1,2,3,4
23 B7-B8 Eigenvalues and eigenvectors B7 1,2,3
B8 1,2,3,4,5
24   Catch-up and review  
25   SECOND MIDTERM EXAM
(Lectures 13-23)		  
26 UMAP (1,2) Population projection 1 (p. 4), 2 (p. 10)
27 UMAP (3) Population projection 3 (p. 12), 4 (p.13)
28 UMAP (3,4) Population projection 6,7,8 (p.17)
Thurs May 8   FINAL EXAM
4-7pm, Loree 022 DC
(cummulative)		  

Mathematics Department