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Lecture of introduction to ordinary differential equations bài giảng môn phương trình vi phân

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Nguyễn Hữu Thọ Department of Mathematics - WRU... Nguyen Huu Tho - Department of Mathematics Unit 1 Introduction to Differential Equations... Nguyen Huu Tho - Department of Mathematics

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Lectures Calculus 4

MATH 3036- DIFFERENTIAL EQUATIONS

Lecturer : Dr Nguyễn Hữu Thọ

Department of Mathematics - WRU

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Dr Nguyen Huu Tho - Department of Mathematics

Unit 1 Introduction to Differential Equations

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1.2 The Derivative

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1.3 Integration

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Works at Home:

1 Written Homework 1

2 Read at Home : Sections : 2.1 +2.2 +2.3 in Text book to

prepare for Unit 2

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Unit 2 Differential Equations and solutions

Separable Equations

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2.2 Separable Equations

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2.3 Models of Motions

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Works at Home:

1 Written Homework 2

2 Read at Home : Sections : 2.4 +2.6 +2.7 in Text book to

prepare for Unit 3

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Unit 3 Linear Equations

Exact Differential Equations

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2.4 Linear Equations

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2.6 Exact Differential Equations

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2.7 Existence and Uniqueness

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Works at Home:

1 Written Homework 3

2 Read at Home : Sections : 2.9 + 3.1 + 3.3 in Text book to

prepare for Unit 4

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Unit 4 Autonomous Equations

Modeling and Applications

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2.9 Autonomous Equations

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3.1 Modeling Populations Growth

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3.3 Personal Finance

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Unit 5 Euler’s Method

Vectors and Matrices

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6.1 Euler’s Method

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7.1 Vectors and Matrices

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Works at Home:

1 Written Homework 5

2 Read at Home : Sections : 7.2 +7.3 +7.4+7.5 in Text book to

prepare for Unit 6

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Unit 6 Systems of Linear Equations

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7.2 Systems of Linear Equations with two or three variables

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7.3 Solving Systems of Equations

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7.4 Homogeneous and Inhomogeneous Systems

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Works at Home:

1 Written Homework 6

2 Read at Home : Sections : 7.5 +7.6+7.7 in Text book to

prepare for Unit 7

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Unit 7 Bases and Subspaces

Matricies Determinants

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7.5 Base and Subspaces

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7.6 Square Matrices

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7.7 Determinants

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Works at Home:

1 Written Homework 7

2 Read at Home : Sections : 8.1 +8.2 +8.3 + 8.4 + 8.5 in Text

book to prepare for Unit 8

3 Review and Mid-Exam 2

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Unit 8

An Introduction to Systems

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8.1 Definitions and Examples

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8.3 Qualitative Analysis

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8.4 Linear System

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8.5 Properties of Linear Systems

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9.2

Planar Systems

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