Engineering Mathematics
경연웅 (ywkyung@seoultech.ac.kr)
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Contact
• Contact
• Office: 창학관 227
• E-mail: ywkyung@seoultech.ac.kr
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Materials
• Advanced Engineering Mathematics – ERWIN KREYSZIG (10th Edition)
• KREYSZIG 공업수학 10판 (상)
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Goal of “Engineering Mathematics”
• This course aims to develop the ability to understand and
solve engineering problems using mathematical methods
• In engineering, various phenomena need to be expressed and
analyzed mathematically, which requires tools such as differential
equations, calculus, linear algebra, and complex analysis
• →modeling
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The importance of modeling (in general)
Falling stone, outflowing water, car braking distance, etc.
Numerical equations
(differential equations, matrix formulation, probability distribution, graph, etc.)
Solution
Interpretation, prediction, understanding, application, etc.
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An example of modeling (in general)
Solution
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An example of modeling (in general)
Solution
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An example of modeling (in general)
Solution
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An example of modeling (in general)
Solution
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An example of modeling (in general)
Solution
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An example of modeling (in general)
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An example of modeling (in general)
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The importance of modeling
(in Engineering Mathematics)
Falling stone, outflowing water, car braking distance, etc.
Differential equations
Solution (equation: f(x,y) = c)
Interpretation, prediction, understanding, application, etc.
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The importance of modeling
Falling stone, outflowing water, car braking distance, etc.
Differential equations
Solution (equation: f(x,y) = c)
Interpretation, prediction, understanding, application, etc.
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In “Engineering Mathematics”?
Falling stone, outflowing water, car braking distance, etc.
Differential equations
Solution (equation: f(x,y) = c)
Interpretation, prediction, understanding, application, etc.
15
In “Engineering Mathematics”?
Falling stone, outflowing water, car braking distance, etc.
Differential equations
“Engineering Mathematics”
Solution (equation: f(x,y) = c)
Interpretation, prediction, understanding, application, etc.
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In “Engineering Mathematics”?, then?
Falling stone, outflowing water, car braking distance, etc.
“Your Major” e.g., Electromagnetics, Circuits, RF, Communications, etc.
Differential equations
“Engineering Mathematics”
Solution (equation: f(x,y) = c)
“Your Major” e.g., Electromagnetics, Circuits, RF, Communications, etc.
Interpretation, prediction, understanding, application, etc.
17
In “Engineering Mathematics”?, then?
Falling stone, outflowing water, car braking distance, etc.
“Your Major” e.g., Electromagnetics, Circuits, RF, Communications, etc.
Differential equations
“Engineering Mathematics”
Can be
extended
Solution (equation: f(x,y) = c)
“Your Major” e.g., Electromagnetics, Circuits, RF, Communications, etc.
Interpretation, prediction, understanding, application, etc.
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Conventionally,
Differential equations
“Engineering Mathematics”?
Solution (equation: f(x,y) = c)
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Recently,
Differential equations
“Engineering Mathematics”?
Solution (equation: f(x,y) = c)
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In “Engineering Mathematics”?
Falling stone, outflowing water, car braking distance, etc.
“Your Major” e.g., Electromagnetics, Circuits, RF, Communications, etc.
Differential equations
“Engineering Mathematics”
Solution (equation: f(x,y) = c)
“Your Major” e.g., Electromagnetics, Circuits, RF, Communications, etc.
Interpretation, prediction, understanding, application, etc.
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Schedule (can be changed)
Contents
1
OT
2
First-Order ODEs
3
First-Order ODEs
4
First-Order ODEs
5
Second-Order Linear ODEs
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Second-Order Linear ODEs
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Second-Order Linear ODEs
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Midterm exam
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Higher Order Linear ODEs
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Higher Order Linear ODEs
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Laplace Transforms
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Laplace Transforms
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Laplace Transforms
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Laplace Transforms
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Final exam
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Teaching Method: Flipped Learning
• Monday
• Offline
• Focused on the review and problem-solving (except for 3/10)
• Thursday
• Online
• Focused on theoretical concepts
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Evaluation
• Attendance (10%)
• Exams (90%)
• Midterm (40%)
• Final (50%)
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