Lec

Sections

Topics

Homework

1

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

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

11.1(on web)

Taylor polynomials

Web, 11.1 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;1^st-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

SPRING BREAK 3/13--3/21

16

14.2

2^nd 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)