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공학수학2 (2016)


모집기간 : 2019-09-01 ~ 2020-02-29
학습기간 : 2019-09-01 ~ 2020-02-29
  • 강좌 정보 및 소개

    ❍ 총 29차시, 학습 모듈 92개

    차시

    차시명

    학습 모듈

    시간

    영상수량

    1차시

    Vector Calculus 1

    강좌소개

    12:23

    3

    Vectors in 2-Space and 3-Space (교재: 9장 1절)

    21:45

    Inner Product (Dot Product) (교재: 9장 2절)

    24:00

    2차시

    Vector Calculus 2

    Vector Product (Cross Product) (교재: 9장 3절)

    25:44

    3

    Vectors and Scalar Functions and Their Fields.

    Vector Calculus: Derivatives (교재: 9장 4절)

    24:10

    Curves. Arc Length. Curvature. Torsion (1) (교재: 9장 5절)

    25:11

    3차시

    Vector Calculus 3

    Curves. Arc Length. Curvature. Torsion (2) (교재: 9장 5절)

    29:31

    3

    Calculus Review: Functions of Several Variables. (교재: 9장 6절)

    15:01

    Gradient of a Scalar Field. Directional Derivative (교재: 9장 7절)

    29:33

    4차시

    Vector Calculus 4

    Divergence of a Vector Field (교재: 9장 8절)

    26:32

    3

    Curl of a Vector Field (교재: 9장 9절)

    13:22

    Line Integrals (교재: 10장 1절)

    35:12

    5차시

    Vector Calculus 5

    Path Independence of Line Integrals (1) (교재: 10장 2절)

    21:50

    3

    Path Independence of Line Integrals (2) (교재: 10장 2절)

    30:32

    Calculus Review: Double Integrals (교재: 10장 3절)

    27:05

    6차시

    Vector Calculus 6

    Green's Theorem in the Plane (교재: 10장 4절)

    25:47

    3

    Surfaces for Surface Integrals (교재: 10장 5절)

    24:47

    Surface Integrals (1) (교재: 10장 6절)

    24:15

    7차시

    Vector Calculus 7

    Surface Integrals (2) (교재: 10장 6절)

    22:22

    4

    Triple Integrals. Divergence Theorem of Gauss (교재: 10장 7절)

    22:00

    Further Applications of the Divergence Theorem (1)

    (교재: 10장 8절)

    16:43

    Further Applications of the Divergence Theorem (2)

    (교재: 10장 8절)

    16:25

    8차시

    Stokes’s Theorem

    and

    Fourier Analysis 1

    Stokes's Theorem (교재: 10장 9절)

    28:03

    3

    Fourier Series (1) (교재: 11장 1절)

    22:45

    Fourier Series (2) (교재: 11장 1절)

    24:39

    9차시

    Fourier Analysis 2

    Arbitrary Period. Even and Odd Functions. Half-Range Expansions. (1) (교재: 11장 2절)

    23:05

    2

    Arbitrary Period. Even and Odd Functions. Half-Range Expansions. (2) (교재: 11장 2절)

    17:14

    10차시

    Fourier Analysis 3

    Forced Oscillations (교재: 11장 3절)

    13:14

    3

    Approximation by Trigonometric Polynomials (교재: 11장 4절)

    32:24

    Sturm-Liouville Problems. Orthogonal Functions (1)

    (교재: 11장 5절)

    28:31

    11차시

    Fourier Analysis 4

    Sturm-Liouville Problems. Orthogonal Functions (2)

    (교재: 11장 5절)

    32:43

    3

    Orthogonal Series. Generalized Fourier Series (1)

    (교재: 11장 6절)

    12:27

    Orthogonal Series. Generalized Fourier Series (2)

    (교재: 11장 6절)

    20:10

    12차시

    Fourier Analysis 5

    Fourier Integral (1) (교재: 11장 7절)

    37:29

    4

    Fourier Integral (2) (교재: 11장 7절)

    09:44

    Fourier Cosine and Sine Transforms (교재: 11장 8절)

    17:22

    Fourier Transform (1) (교재: 11장 9절)

    10:58

    13차시

    Fourier Transform and

    Partial Differential Equations 1

    Fourier Transform (2) (교재: 11장 9절)

    32:51

    2

    Basic Concepts of PDEs (1) (교재: 12장 1절)

    09:16

    14차시

    Partial Differential Equations 2

    Basic Concepts of PDEs (2) (교재: 12장 1절)

    17:29

    4

    Modeling: Vibrating String, Wave Equation (교재: 12장 2절)

    17:02

    Solution by Separating Variables. Use of Fourier Series (1)

    (교재: 12장 3절)

    31:43

    Solution by Separating Variables. Use of Fourier Series (2)

    (교재: 12장 3절)

    08:46

    15차시

    Partial Differential Equations 3

    D'Alembert's Solution of the Wave Equation. Characteristics

    (교재: 12장 4절)

    24:59

    4

    Modeling: Heat Flow from a Body in Space. Heat Equation

    (교재: 12장 5절)

    03:23

    Heat Equation: Solution by Fourier Series.

    (교재: 12장 6절 전반부)

    27:05

    Steady Two-Dimensional Heat problems. Dirichlet Problem

    (교재: 12장 6절 후반부)

    20:55

    16차시

    Partial Differential Equations 4

    Heat Equation: Modeling Very Long Bars.

    Solution by Fourier Integrals (1) (교재: 12장 7절)

    33:54

    3

    Heat Equation: Modeling Very Long Bars.

    Solution by Fourier Transforms (2) (교재: 12장 7절)

    25:20

    Heat Equation: Modeling Very Long Bars.

    Solution by Fourier Sine Transforms (3) (교재: 12장 7절)

    14:42

    17차시

    Partial Differential Equations 5

    Modeling: Membrane, Two-Dimensional Wave Equation

    (교재: 12장 8절)

    21:17

    3

    Rectangular Membrane. Double Fourier Series (교재: 12장 9절)

    40:14

    Laplacian in Polar Coordinates (교재: 12장 10절 전반부)

    17:06

    18차시

    Partial Differential Equations 6

    Circular Membrane. Fourier-Bessel Series

    (교재: 12장 10절 후반부)

    31:14

    3

    Laplace's Equation in Cylinderical and Spherical Coordinates. Potential (1) (교재: 12장 11절)

    12:20

    Laplace's Equation in Cylinderical and Spherical Coordinates. Potential (2) (교재: 12장 11절)

    28:15

    19차시

    Laplace Transform

    and

    Complex Analysis 1

    Solution of PDEs by Laplace Transforms (교재: 12장 12절)

    29:56

    4

    Complex Numbers and Their Geometric Representation

    (교재: 13장 1절)

    04:38

    Polar Form of Complex Numbers. Powers and Roots

    (교재: 13장 2절)

    30:50

    Derivative. Analytic Function (1) (교재: 13장 3절)

    09:49

    20차시

    Complex Analysis 2

    Derivative. Analytic Function (2) (교재: 13장 3절)

    28:58

    3

    Cauchy-Riemann Equations. Laplace's Equation (1)

    (교재: 13장 4절)

    19:29

    Cauchy-Riemann Equations. Laplace's Equation (2)

    (교재: 13장 4절)

    23:43

    21차시

    Complex Analysis 3

    Exponential Function (교재: 13장 5절)

    21:54

    2

    Trigonometric and Hyperbolic Functions. Euler's Formula

    (교재: 13장 6절)

    21:11

    22차시

    Complex Analysis 4

    Logarithm. General Power. Principal Value (1) (교재: 13장 7절)

    26:55

    4

    Logarithm. General Power. Principal Value (2) (교재: 13장 7절)

    15:07

    Line Integral in the Complex Plane (1) (교재: 14장 1절)

    26:12

    Line Integral in the Complex Plane (2) (교재: 14장 1절)

    11:31

    23차시

    Complex Analysis 5

    Line Integral in the Complex Plane (3) (교재: 14장 1절)

    16:26

    4

    Line Integral in the Complex Plane (4) (교재: 14장 1절)

    18:23

    Cauchy's Integral Theorem (1) (교재: 14장 2절)

    29:08

    Cauchy's Integral Theorem (2) (교재: 14장 2절)

    11:55

    24차시

    Complex Analysis 6

    Cauchy's Integral Theorem (3) (교재: 14장 2절)

    27:29

    3

    Cauchy's Integral Formula (교재: 14장 3절)

    16:43

    Derivatives of Analytic Functions (교재: 14장 4절)

    28:52

    25차시

    Complex Analysis 7

    Sequences, Series, Convergence Tests (1) (교재: 15장 1절)

    25:52

    3

    Sequences, Series, Convergence Tests (2) (교재: 15장 1절)

    18:54

    Power Series (교재: 15장 2절)

    29:09

    26차시

    Complex Analysis 8

    Functions Given by Power Series (교재: 15장 3절)

    29:29

    2

    Taylor and Maclaurin Series (1) (교재: 15장 4절)

    14:48

    27차시

    Complex Analysis 9

    Taylor and Maclaurin Series (2) (교재: 15장 4절)

    31:17

    3

    Laurent Series (교재: 16장 1절)

    28:40

    Singularities and Zeros. Infinity (1) (교재: 16장 2절)

    12:40

    28차시

    Complex Analysis 10

    Singularities and Zeros. Infinity (2) (교재: 16장 2절)

    27:24

    4

    Singularities and Zeros. Infinity (3) (교재: 16장 2절)

    16:08

    Residue Integration Method (1) (교재: 16장 3절)

    12:51

    Residue Integration Method (2) (교재: 16장 3절)

    18:21

    29차시

    Complex Analysis 11

    Residue Integration Method (3) (교재: 16장 3절)

    10:56

    4

    Residue Integration of Real Integrals (1) (교재: 16장 4절)

    16:09

    Residue Integration of Real Integrals (2) (교재: 16장 4절)

    31:22

    Residue Integration of Real Integrals (3) (교재: 16장 4절)

    16:50

  • 교수 정보

  • 강좌코드 : 2019_80_C_2016_KYD_001_2019_2
  • 과정 : 공학수학2
  • 주수 : 29
  • 수강가능수 : 100000
  • 학점 : 0
  • 언어 : 한국어 (ko)
  • 태그 : 공학수학2, 김영득, 학내공개
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