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) Definite integral, indefinite integral Substitution	5.3 3,18,27 5.4 4,7,15,19,45 5.5 9,11,13,17,18,21,29,33,39
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 3,5,13,17,19,21,25,27,31,33,35,39,47,49
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	7.6 to p.464 14.1	1^st-order linear diff eqns Euler's Method (no exact DEs)	7.6 4, 5, 8, 29 14.1 4, 7, 26, 27
13	A1-A2 7.6	Growth models, logistic equation	A1 1,2 7.6 27, 28
14	A2	Logistic equation	A2 1,2 (p. 10)
15	14.2	2^nd-order homogeneous linear diff eqs	14.2 1, 4, 7, 11, 23, 24, 27
16	14.2	2^nd-order (and higher) 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-B2	Systems of linear equations, matrices and their algebra	B1 1,2a,3a,4,5 B2 1,2,3,5,7,8,10,11,13
22	B3-B4	Determinants	B3 1,2,3,4,5,6,7; B4 1,2
23	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
25	UMAP (1,2)	Population projection	1 (p. 4), 2 (p. 10)
26	UMAP (3)	Population projection	3 (p. 12), 4 (p.13)
27	UMAP (3,4)	Population projection	6,7,8 (p.17)
28		Review and catch up

Updated: 2008 by C. Weibel and S. Soffer

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