Math 242 Calculus 4 Chapter 1

Section 1.1 Differential Equations and Mathematical Models
    worksheet – Differential Equations and Mathematical Models

Section 1.2 Integrals
    worksheet – Integrals

Section 1.3 Slope Fields
    worksheet – Slope Fields

Section 1.4 Separable Equations
    worksheet – Separable Equations

Section 1.5 Integrating factor
    worksheet – Integrating factor

Section 1.6 Homogeneous equations
    worksheet – Homogeneous equations

HW:

Read Section 1.1 and do the following problems: 3, 4, 5, 7, 9, 12, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45

Read Section 1.2 and do the following problems: 4, 5, 8, 9, 10, 11, 15, 16, 18, 19, 21, 22, 24, 25, 26, 29, 31, 33, 35, 37

Read Section 1.3 and do the following problems: 1-21 odds

Read Section 1.4 and do the following problems: 5, 8, 9, 10, 15, 17, 18, 19, 20, 22, 23, 24, 25, 27, 28, 33, 35, 43, 54, 55

Read Section 1.5 and do the following problems:  2, 5, 8, 10, 11, 15, 17, 19, 20, 23, 25, 27, 28

Read Section 1.6 and do the following problems:  1, 3, 4, 5, 7, 8, 11, 13, 17, 19, 21, 29, 33, 36, 37, 43, 44, 47, 49, 51

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Questions asked by students

Normal Line 1-1-29

Rodent Problem 1-1-45

1.2.15 initial value problem (4th edition)

1.2.24 velocity problem (4th edition)

Separable equation 1-4-19

Separable equation 1-4-22

Separable equation 1-4-23

linear first order equation 1-5-11

Initial Value Problem 1-5-25

Example of dx/dy 1-5-27

dx in Terms of dy 1-5-28

V Substitution 1-6-13

Double Substitution 1-6-14

A Different Substitution 1-6-16

Bernoulli Equation 1-6-20

Homogenous Example with a y Term 1-6-49

Homogenous Example with an x Term 1-6-50

Homogenous Example with a y Term 1-6-52

Homogenous Example with a y Term 1-6-54