Math 138 Syllabus
Note:
If you intend to take higher level courses requiring CALC2, do not take
Math 136 or Math 138; take Math 152 instead.
NOTE TO STUDENTS: This syllabus is tentative and may be subject to minor changes.
Chapter numbers 1 through 14 and G2 refer to the Rutgers University custom text Calculus and Its Applications, published by Pearson Custom Publishing. Section numbers beginning with A and B refer to the Rutgers supplements for Math 138, and those beginning with UMAP to the UMAP supplement. These supplements are available for download and printing by students from the course home page.
|
Lec |
Sections |
Topics |
Homework |
|
1 |
5.3-5.5 |
Integration
(review) |
5.3 3,27 |
|
2 |
5.8 |
Numerical
Integration |
5.8 3,7,11,13,19,21,27,29 |
|
3 |
6.6 |
Economic
applications, biological applications. |
6.6 21, 22, 23,35,47,49, 55,
57, 58 |
|
4 |
7.1 |
Integration
by substitution and using tables |
7.1 3,5,11,13,15,17,27,31,42,47 |
|
5 |
7.2 |
Integration
by parts |
7.2 1,3,7,13,17,21,22,26,35 |
|
6 |
7.4 |
Partial
Fractions (linear factors) |
7.4 1,3,5,7,15,17, 19,23,27,29,31 |
|
7 |
7.7 |
Improper
Integrals |
7.7
3,5,13,117,19,21,25,27,31,33,35,39,47,49 |
|
8 |
G2.1 |
Taylor polynomials |
G2.1
1,5,7,13,15,17,21,22,27,29,30 |
|
9 |
|
Review
and catch up |
|
|
10 |
|
FIRST MIDTERM EXAM (Lectures 1-9) |
|
|
11 |
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 |
5.6, 14.1 |
Sep of
Var;1st-order linear: Euler's Meth |
14.1 4, 7, 25, 26, 27 |
|
13 |
A1-A2 |
Growth models, logistic equation |
A1 1,2 |
|
14 |
A2 |
Logistic equation |
A2 1,2 (p. 10) |
|
15 |
14.2 |
2nd-order
homogeneous linear diff eqs |
14.2 1, 4, 7, 11, 23, 24, 27 |
|
16 |
14.2 |
2nd
and higher order linear diff eqns |
14.2 6, 15, 18, 21, 25, 46 |
|
17 |
14.3 |
Non-homogeneous
diff eqns:undet coef |
14.3 3, 5, 7, 9, 13, 19,21 |
|
18 |
14.3 |
Non-homogeneous
diff eqns: var par |
14.3 29, 33, 35, 44, 45 |
|
19 |
|
Review
and catch up |
|
|
20 |
|
SECOND MIDTERM EXAM (Lectures 11-19) |
|
|
21 |
B1 |
Systems of linear equations and matrices. |
B1 1,2a,3a,4,5 |
|
22 |
B2 |
Algebra of matrices |
B2 1,2,3,5,7,8,10,11,13 |
|
23 |
B3-B4 |
Determinants |
B3 1,2,3,4,5,6,7; B4 1,2 |
|
24 |
B5-B6 |
Invertible matrices. Cramer's rule |
B5 1,2,3,4; B6 1,2,3,4 |
|
25 |
B7-B8 |
Eigenvalues and eigenvectors |
B7 1,2,3; B8 1,2,3,4,5 |
|
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) |
Updated: 2007 by G. Cherlin and B. Osofsky