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