<Mathematics with CAS> by SGLee

미적분학 with Sage Sec-6-1 Areas between Curves, SKKU SGLee http://youtu.be/o53phm5cqJE
미적분학 with Sage Sec-6-2 Volumes, SKKU SGLee http://youtu.be/4-ChOAFbJAs
미적분학 with Sage Sec-6-3 Volumes by Cylindrical Shells, SKKU SGLee http://youtu.be/qM1izf8qeX8

미적분학 with Sage Sec-6-4 Work by SKKU SGLee : http://youtu.be/u3ZaJWhKy6k

미적분학 with Sage Sec-6-5 Average Value of a Function by SKKU SGLee http://youtu.be/zmEeGmwQTB0

Chapter 7. Techniques of Integration

미적분학 with Sage Sec-7-1 Integration by Parts by SKKU SGLee : http://youtu.be/WX-6C9tCneE

미적분학 with Sage Sec-7-2 Trigonometric Integrals by SKKU SGLee : http://youtu.be/sIR0zNGQbus

미적분학 with Sage Sec-7-3 Trigonometric Substitution by SKKU SGLee : http://youtu.be/avTqiEUi8u8

미적분학 with Sage Sec-7-4 Integration of Rational Functions by the Method of Partial Fractions by SKKU SGLee : http://youtu.be/KLTHp_7G4cI

미적분학 with Sage Sec-7-5 Guidelines for Integration by SKKU SGLee : http://youtu.be/Fgn8U4We60o

미적분학 with Sage Sec-7-6 Integration Using Tables by SKKU SGLee : http://youtu.be/tn9jLkgTMp8

미적분학 with Sage Sec-7-7 Approximate Integration by SKKU SGLee : http://youtu.be/hg2pw1n1cZI

미적분학 with Sage Sec-7-8 Improper Integrals by SKKU SGLee : http://youtu.be/rquxbYrC0Yc

Chapter 8. Further Applications of Integration

미적분학 with Sage Sec-8-1 Arc Length by SKKU : http://youtu.be/7OVqI20z_Bw

미적분학 with Sage Sec-8-2 Area of a Surface of Revolution by SKKU : http://youtu.be/Eq4i2A8eKxA

미적분학 with Sage Sec-8-3 Applications of Integral Calculus by SKKU : http://youtu.be/1ZAJeP16pAQ

*미적분학 with Sage Sec-8-4 Differential equations by SKKU : http://youtu.be/uHfOjz8I4-s

Chapter 9. Infinite Sequences and Infinite Series

9.1 미적분학 with Sage Sec-9.1 Sequences and Series http://youtu.be/rz8ZS4Y_cvc
9.2 미적분학 with Sage Sec-9.2 Tests for convergence of series with positive terms http://youtu.be/mxwSv6ApZ2g
9.3 미적분학 with Sage 9.3 Alternating Series and Absolute Convergence http://youtu.be/NtSitFNv9Mk

9.4 미적분학 with Sage Sec 9.4 Power Series http://youtu.be/426kkrMArgs
9.5 미적분학 with Sage Sec 9.5 Taylor, Maclaurin, and Binomial Series http://youtu.be/3zSPSvYHJQI

Chapter 10. Parametric Equations and Polar Coordinates

10.1 Parametric Equations http://youtu.be/hQGCZk1tpuA
10.2 Calculus with Parametric Curves http://youtu.be/QFMSbGKhoX4
10.3 Polar Coordinates http://youtu.be/lKPJeAGw0ZA
10.4 Areas and Lengths in Polar Coordinates http://youtu.be/qHEl7KHOAfE
10.5 Conic Section http://matrix.skku.ac.kr/2014-Album/Quadratic-form/index.htm

Chapter 11. Vectors and the Geometry of Space

11.1 Three-Dimensional Coordinate Systems

11.2 Vectors

11.3 The Dot Product

11.4 The Vector or Cross Product

11.5 Equations of Lines and Planes

11.6 Cylinders and Quadric Surfaces

Chapter 12. Vector Valued Functions

12.1 Vector-Valued Functions and Space Curves http://youtu.be/0pvywjBjsQw

12.2 Calculus of Vector Functions

12.3 Arc Length and Curvature

*12.4 Motion Along A Space Curve: Velocity and Acceleration

Chapter 13. Partial Derivatives

13.1 Multivariate Functions

13.2 Limits and Continuity of Multivariate Functions

13.3 Partial Derivatives http://youtu.be/LR89Ct3cEDY

13.4 Differentiability and Total Differentials

13.5 The Chain Rule http://youtu.be/r3dGYL1vkEU

13.6 Directional Derivatives and Gradient http://youtu.be/o8L_ShRANjo

13.7 Tangent Plane and Differentiability http://youtu.be/uOf-5YHKGI4

13.8 Extrema of Multivariate Functions http://youtu.be/oDZUkOEszOQ

13.9 Lagrange Multiplier

Chapter 14. Multiple Integrals

14.1 Double Integrals http://youtu.be/jZ2pAmPZYOE

14.2 Double Integrals in Polar Coordinates http://youtu.be/olQgihl5aZg

14.3 Surface Area http://youtu.be/p9R0TTLfBzk

14.4 Cylindrical Coordinates and Spherical Coordinates http://youtu.be/q3FKd2UxV_I

14.5 Triple Integrals http://youtu.be/r1tzH9Ibbqk

14.6 Triple Integrals in Cylindrical and Spherical Coordinates http://youtu.be/xd0U4_C2ePY

14.7 Change of Variables in Multiple Integrals http://youtu.be/INn-bkgXYNg

Chapter 15. Vector Calculus

15.1 Vector Differentiation http://youtu.be/q0aVmUCXgTI

15.2 Line Integrals http://youtu.be/wHINlpNXYaU

15.3 Independence of the Path http://youtu.be/jGGOL3QDj1Y

15.4 Green’s Theorem in Plane http://youtu.be/WxdTbaSb_ZI

15.5 Curl and Divergence http://youtu.be/IswmJUCTeNA

15.6 Surface and Area http://youtu.be/xX6tNVpegbs

15.7 Surface Integrals http://youtu.be/nrzIrM4doLo

15.8 Stokes’ Theorem http://youtu.be/t4skc_PzJvg

15.9 Divergence Theorem http://youtu.be/3BmcFr81kuQ

SKKU 선형대수학 Jordan 표준형, SGLee : http://youtu.be/Dn4qBxgUJcA

<Calculus (미적분학) - 문제 풀이 동영상 - 학생발표> :
강의에 앞서 : http://youtu.be/YtxYZW3Enko
14장 앞부분 복습 내용: http://youtu.be/5eCO2GjlJHs

Chapter 1. Functions
Sec-1-1 Functions and Graph, 문제풀이 by 황인철 http://youtu.be/rQ2CB8EvkoE
Sec-1-2 Symmetry, 문제풀이 by 곽주현 http://youtu.be/BNKUzSohiD8
Sec-1-3 Common Functions, 문제풀이 by 장찬영 http://youtu.be/x0E0ZMxZ3Og
Sec-1-4 Translation, Stretching and Rotation of Functions, 문제풀이 by 임효정 http://youtu.be/vx7GCWY68Zw
Chapter 2. Limits and Continuity
Sec-2-1 Limits of functions, 문제풀이 by 장재철-이훈정, http://youtu.be/LZSmRPAAXME
Sec-2-2 Continuity, 문제풀이 by 이훈정 http://youtu.be/azrkT1RP4-c
Sec-2-2 Continuity, Epsilon-Delta Proof, by 황인철 http://youtu.be/hj8d-j_DGf4
Chapter 3. Theory of Differentiation
Sec-3-1 Definition of Derivatives, Differentiation, 문제풀이 by 김태현 http://youtu.be/7wTBWuk2CzU
Sec-3-2 Derivatives of Polynomials, Exponential Functions, Trigonometric, 문제풀이 by 조건우 http://youtu.be/Ei5KGW9vZhE
Sec-3-3 The Chain Rule and Inverse Functions, 문제풀이 by 유휘의 http://youtu.be/aSKm12922FE
Sec-3-4 Approximation and Related Rates, 문제풀이 김종민 http://youtu.be/JmBOv6_D6qA
Chapter 4. Applications of Differentiation
Sec-4-1 Extreme values of a function, 문제풀이 by 김태영 http://youtu.be/_V4MryNEzWY
Sec-4-2 The Shape of a Graph, 문제풀이 by 김태영 http://youtu.be/SVOWADHlzV8
Sec-4-3 Indeterminate Forms and L'Hospital's Rule, 문제풀이 by 신종희 http://youtu.be/gR2luDDPsMY
Sec-4-4 Optimization, 문제풀이 by 이승철 http://youtu.be/AELEV2ElaeQ
Sec-4-5 Newton's Method, 문제풀이 by 이승철http://youtu.be/fdBHQ46g9RE
Chapter 5. Integrals
Sec-5-1 Area and Distance, 문제풀이 by 남택현 http://youtu.be/Y_nCn76RPmY
Sec-5-2 Definite Integral, 문제풀이 by 남택현http://youtu.be/iUsf1h_hTAE
Sec-5-3 and 5-4 Fun Theorem of Calculus Net Change Theorem, 문제풀이 by 정승찬 & Kimhttp://youtu.be/Pa4Z38KkDVY
Sec-5-5 Substitution, 문제풀이 by 이한울 http://youtu.be/0TMbpCPO4Uc
Sec-5-6 Log and Exponential, 문제풀이 by 이한울 http://youtu.be/ymDImdIQ90c
Chapter 6. Applications of Integration
Sec-6-2 Volumes, 문제풀이 by 김종민 http://youtu.be/Fd4Mguf2dbU
Sec-6-3 Volumes by Cylindrical Shells, 문제풀이 by 신영찬 http://youtu.be/gNaKkA0UNHg
Sec-6-4 Work, 문제풀이 by 김건호 http://youtu.be/SmIo2yaxNsY
Sec-6-5 Average Value of a Function, 문제풀이 by 신종희 http://youtu.be/BVahd-DJoe8
Chapter 7. Techniques of Integration
Sec-7-1 Integration by Parts, 문제풀이 by 이인행 http://youtu.be/jKCAGJ4HqvQ
Sec-7-2 Trigonometric Integrals, 문제풀이 by 김태현 http://youtu.be/ytETYf1wLbs
Sec-7-3 Trigonometric Substitution, 문제풀이 by 이훈정 http://youtu.be/utTQHIabTyI
Sec-7-4 Integration of Rational Functions by the Method of Partial Fractions, 문제풀이 by 장재철http://youtu.be/SkNW_bax0YI
Sec-7-5 Guidelines for Integration, 문제풀이 by 김대환 http://youtu.be/-N9Fe_Arp2c
Sec-7-6 Integration Using Tables, 문제풀이 by 조건우 http://youtu.be/EnEQ9ZS3B_k
Sec-7-8 Improper Integrals, 문제풀이 by 이송섭 http://youtu.be/C3kb4c9nLXM & 문제풀이 by 이인행 http://youtu.be/dfSkjvmSXYo
Chapter 8. Further Applications of Integration
Sec-8-1 Arc Length, 문제풀이 by 남택현 http://youtu.be/A8N-mDD0ja8
Sec-8-2 Area of a Surface of Revolution, 문제풀이 by 정승찬 http://youtu.be/yZFJDJgTJfw
Chapter 9. Infinite Sequences and Infinite Series
Sec 9.1 Sequences and Series 문지호 http://youtu.be/Qo0MArZG2EA
Sec-9-1 Sequences and Series, 문제풀이 by 이원준 http://youtu.be/O6y1v5fJA0k
Sec-9-2 Tests for convergence of series with positive terms, 문제풀이 by 김범윤 http://youtu.be/1flKAnlv9LA
Sec 9.3 Alternating Series and Absolute Convergence 계성곤 http://youtu.be/e_5D0dzrqwc
Sec 9.4 Power Series 배성준 http://youtu.be/R3AcB12z2kk
Sec 9.5 Taylor, Maclaurin, and Binomial Series 우시명 http://youtu.be/NSFrYRYZ6Qc
Chapter 10. Parametric Equations and Polar Coordinates
Sec 10.1 Parametric Equations, 문제풀이 by 문지호 http://youtu.be/uz1DkKVeD2k & by 임효정 http://youtu.be/Ybs68e0iMZI
Sec-10-2 Calculus with Parametric Curves, 문제풀이 by 장찬영 http://youtu.be/yF5oZOQVnCE
Sec 10.3 Polar Coordinates 문제풀이 by 계성곤 http://youtu.be/smAmDRK-tWY & by 황인철 http://youtu.be/4hoVKvk8dq0
Sec-10-4 Areas and Lengths in Polar Coordinates, 문제풀이 by 곽주현 http://youtu.be/LRmasW9uqYY
Sec 10.5 Conic Sections 문제풀이 by 변희성 http://youtu.be/ONItxvlsnb8 & by 이한울 http://youtu.be/CZ9SHMtqVy4
Chapter 11. Vectors and the Geometry of Space
Sec-11.1 Three-Dimensional Coordinate Systems, 문제풀이 by 김태현http://youtu.be/_s_2T1VVob8
Sec-11.2 Vectors, 문제풀이 by 오교혁 http://youtu.be/BFgh6irMqsc
Sec-11.5 Equations of Lines and Planes, 문제풀이 by 구본우 http://youtu.be/lxuGE_Erthg
Chapter 12. Vector Valued Functions
Sec-12.1 Vector-Valued Functions and Space Curves, 문제풀이 by 최양현http://youtu.be/jvMI6OzdR_I
Sec-12.2 Calculus of Vector Functions, 문제풀이 by 김동윤 http://youtu.be/VS5rPyOjP2I
Chapter 13. Partial Derivatives
Sec-13.1 Multivariate Functions, 문제풀이 by 구본우 http://youtu.be/As_0AYApHlM
Sec-13.3 Partial Derivatives, 문제풀이 by 김동윤 + http://youtu.be/rSYLp1mSMXY
Sec-13.4 Differentiability and Total Differentials, 문제풀이 by 김범윤  http://youtu.be/qDmCWBiXbIA
Sec-13.5 The Chain Rule, 문제풀이 by 김유경   http://youtu.be/vzN5By6qzvM
Sec-13.6 Directional Derivatives and Gradient, 문제풀이 by 김태현 http://youtu.be/2_7TOUuzJoE
Sec-13.7 Tangent Plane and Differentiability, 문제풀이 by 서용태http://youtu.be/GDkE8OqUvsk
Sec-13.8 Extrema of Multivariate Functions, 문제풀이 by 오교혁http://youtu.be/FWmk_MasIjE
Sec- 13.9 Lagrange Multiplier, 문제풀이 by 이원준  http://youtu.be/YMGdQWBzyrI
Chapter 14. Multiple Integrals
  Sec-14.1   Double Integrals, 문제풀이 by 이인행 http://youtu.be/w8g9fgcEP4A
  Sec-14.2 Double Integrals in Polar Coordinates, 문제풀이 by 이지석   http://youtu.be/jpsObxtZ50A
Sec-14.4 Cylindrical Coordinates and Spherical Coordinates, 문제풀이 by 최양현 + http://youtu.be/F9u6pMubVRs
  Sec-14.5 Triple Integrals, 문제풀이 by 이인행    http://youtu.be/C-uPM3km96k
Chapter 15. Vector Calculus
Sec-15.1 Vector Differentiation, 문제풀이 by 김동윤 + http://youtu.be/iSUME4Q1WPM
Sec-15.2 Line Integrals, 문제풀이 by 김범윤, http://youtu.be/ZdRjCfJeHM8
Sec-15.3 Independence of the Path, 문제풀이 by 김유경 http://youtu.be/TreCe8ESEiU
Sec-15.5 Curl and Divergence, 문제풀이 by 서용태 http://youtu.be/wLTHYaANwtI
Sec-15.6 Surface and Area, 문제풀이 by 오교혁 http://youtu.be/j7F3xVNdHvA
Sec-15.7 Surface Integrals, 문제풀이 by 이원준 http://youtu.be/s_MRgW2By38
Sec-15.9 Divergence Theorem, 문제풀이 by 최주영 http://youtu.be/vGMLoGWF1Is

< 후에 추가할 부분 >

미적분학 with Sage Sec-5-4 Net Change Theorem, Problem, 문제풀이 by

미적분학 with Sage Sec 8.3 Center of Mass

미적분학 with Sage Sec *8.4 Differential equations

미적분학 with Sage Sec-11.3 The Dot Product

미적분학 with Sage Sec-11.4 The Vector or Cross Product

미적분학 with Sage Sec-11.6 Cylinders and Quadric Surfaces

(미적분학 with Sage Sec-12.3 Arc Length and Curvature
(미적분학 with Sage Sec-12.4 Motion Along A Space Curve: Velocity and Acceleration

(미적분학 with Sage Sec-13.2 Limits and Continuity of Multivariate Functions, 문제풀이 by 김건호

(미적분학 with Sage Sec-14.3 Surface Area, 문제풀이 by 이한울

(미적분학 with Sage Sec-15.8 Stokes’ Theorem, 문제풀이 by 이인행