﻿   [SKKU Calculus 미적분학]

http://matrix.skku.ac.kr/cal-book1/

Main Author : Sang-Gu Lee

Co-Authors : Eung-Ki Kim, Yoonmee Ham, Ajit Kumar, Robert Beezer, Quoc-Phong Vu, Lois Simon, Suk-Geun Hwang.

Reviewers : Hyunsoo Kim, Jaedong Sim, Insung Hwang, Mohit Kumbhat, L. Shapiro, R. Sakthivel, K. Das,  Victoria Lang,

Part I   Single Variable Calculus

Part II  Multivariate Calculus

미적분학 1 (Math &Coding) 강의 (학생들이 제출한 과제/평가) 기록 :

미적분학 2 (Math &Coding) 강의 (학생들이 제출한 과제/평가) 기록 :

[동영상 강의]

1.1 History of Calculus http://youtu.be/ODfMaHgIhAc 강좌운영소개 http://youtu.be/XWEQFlv4jKc

Chapter 1. Functions http://matrix.skku.ac.kr/Cal-Book1/Ch1/

문제풀이 by 곽주현 http://youtu.be/BNKUzSohiD8

문제풀이 by 장찬영 http://youtu.be/x0E0ZMxZ3Og

문제풀이 by 임효정 http://youtu.be/vx7GCWY68Zw

Chapter 2. Limits and Continuity      http://matrix.skku.ac.kr/Cal-Book1/Ch2/

2.1 Limits of functions 강의 :  http://youtu.be/VBCeAllP1M0

문제풀이 by 장재철-이훈정,   http://youtu.be/LZSmRPAAXME

문제풀이 by 황인철          http://youtu.be/hj8d-j_DGf4

2.2 Continuity            http://youtu.be/zGxx3PUCTnM

문제풀이 by 이훈정          http://youtu.be/azrkT1RP4-c

Chapter 3. Theory of Differentiation     http://matrix.skku.ac.kr/Cal-Book1/Ch3/

3.1 Definition of Derivatives, Differentiation 강의 :http://youtu.be/A-vDsF9ulTs

문제풀이 by 김태현  http://youtu.be/7wTBWuk2CzU

3.2 Derivatives of Polynomials, Exponential Functions, Trigonometric Functions, The product rule   http://youtu.be/XXMnCESesfQ

문제풀이 by 조건우    http://youtu.be/Ei5KGW9vZhE

3.3 The Chain Rule and Inverse Functions  http://youtu.be/HfScHEsPfKI

3.4 Approximation and Related Rates   http://youtu.be/ViRwEJ0Wfkw

문제풀이 by 김종민  http://youtu.be/JmBOv6_D6qA

Chapter 4. Applications of Differentiation      http://matrix.skku.ac.kr/Cal-Book1/Ch4/

4.1 Extreme values of a function 강의 : http://youtu.be/mXVU8OqIHJY

문제풀이 by 김태영  http://youtu.be/_V4MryNEzWY

4.2 The Shape of a Graph    http://youtu.be/cZrAF_77On4

4.3 The Limit of Indeterminate Forms and L’Hospital’s Rule http://youtu.be/vp-gck5-gKE

문제풀이 by 신종희   http://youtu.be/gR2luDDPsMY

4.4 Optimization Problems   http://youtu.be/k0NtkmZFnh8

문제풀이 by 이승철   http://youtu.be/AELEV2ElaeQ

4.5 Newton’s Method  http://youtu.be/VxCfl2JzMYU

문제풀이 by 이승철  http://youtu.be/fdBHQ46g9RE

Chapter 5. Integrals     http://matrix.skku.ac.kr/Cal-Book1/Ch5/

5.1 Areas and Distances 강의 : http://youtu.be/mT_oxlD6RSA

문제풀이 by 남택현  http://youtu.be/Y_nCn76RPmY

5.2 The Definite Integral   http://youtu.be/GIm3Oz58Ti8

문제풀이 by 남택현  http://youtu.be/iUsf1h_hTAE

5.3 The Fundamental Theorem of Calculus   http://youtu.be/Zf1HT2H2fbA

문제풀이 by 정승찬 & Kim  http://youtu.be/Pa4Z38KkDVY

5.5 The Substitution Rule   http://youtu.be/h7tmvmNOliU

문제풀이 by 이한울 http://youtu.be/0TMbpCPO4Uc

5.6 The Logarithm Defined as an Integral  http://youtu.be/kD0Z9PqetsA

문제풀이 by 이한울   http://youtu.be/ymDImdIQ90c

미적분학 with Sage Midterm Exam    http://youtu.be/QAEI7A2DMMM

Chapter 6. Applications of Integration

6.1 Areas between Curves 강의 : http://youtu.be/o53phm5cqJE

6.2 Volumes      http://youtu.be/4-ChOAFbJAs

문제풀이 by 김종민  http://youtu.be/Fd4Mguf2dbU

6.3 Volumes by Cylindrical Shells   http://youtu.be/qM1izf8qeX8

문제풀이 by 신영찬  http://youtu.be/gNaKkA0UNHg

6.4 Work         http://youtu.be/u3ZaJWhKy6k

문제풀이 by 김건호  http://youtu.be/SmIo2yaxNsY

6.5 Average Value of a Function   http://youtu.be/zmEeGmwQTB0

문제풀이 by 신종희  http://youtu.be/BVahd-DJoe8

Chapter 7. Techniques of Integration

7.1 Integration by Parts 강의 :  http://youtu.be/WX-6C9tCneE

문제풀이 by 이인행  http://youtu.be/jKCAGJ4HqvQ

7.2 Trigonometric Integrals   http://youtu.be/sIR0zNGQbus

문제풀이 by 김태현  http://youtu.be/ytETYf1wLbs

7.3 Trigonometric Substitution   http://youtu.be/avTqiEUi8u8

문제풀이 by 이훈정  http://youtu.be/utTQHIabTyI

7.4 Integration of Rational Functions by the Method of Partial Fractions

문제풀이 by 장재철  http://youtu.be/SkNW_bax0YI

7.5 Guidelines for Integration   http://youtu.be/Fgn8U4We60o

문제풀이 by 김대환    http://youtu.be/-N9Fe_Arp2c

7.6 Integration Using Tables    http://youtu.be/tn9jLkgTMp8

문제풀이 by 조건우    http://youtu.be/EnEQ9ZS3B_k

7.7 Approximate Integration     http://youtu.be/hg2pw1n1cZI

7.8 Improper Integrals      http://youtu.be/rquxbYrC0Yc

문제풀이 by 이송섭   http://youtu.be/C3kb4c9nLXM

문제풀이 by 이인행    http://youtu.be/dfSkjvmSXYo

Chapter 8. Further Applications of Integration

8.1 Arc Length 강의 :  http://youtu.be/7OVqI20z_Bw

문제풀이 by 남택현  http://youtu.be/A8N-mDD0ja8

8.2 Area of a Surface of Revolution   http://youtu.be/Eq4i2A8eKxA

문제풀이 by 정승찬   http://youtu.be/yZFJDJgTJfw

8.3 Applications of Integral Calculus 강의 : http://youtu.be/1ZAJeP16pAQ

8.4 Differential equations 강의 : http://youtu.be/uHfOjz8I4-s

Chapter 9. Infinite Sequences and Infinite Series

9.1 Sequences and Series   http://youtu.be/rz8ZS4Y_cvc

문제풀이 by 문지호 http://youtu.be/Qo0MArZG2EA

문제풀이 by 이원준  http://youtu.be/O6y1v5fJA0k

9.2 Tests for convergence of series with positive terms http://youtu.be/mxwSv6ApZ2g

문제풀이 by 김범윤   http://youtu.be/1flKAnlv9LA

9.3 Alternating Series and Absolute Convergence  http://youtu.be/NtSitFNv9Mk

문제풀이 by 계성곤      http://youtu.be/e_5D0dzrqwc

9.4 Power Series  http://youtu.be/426kkrMArgs

문제풀이 by 배성준   http://youtu.be/R3AcB12z2kk

9.5 Taylor, Maclaurin, and Binomial Series   http://youtu.be/3zSPSvYHJQI

문제풀이 by 우시명       http://youtu.be/NSFrYRYZ6Qc

Chapter 10. Parametric Equations and Polar Coordinates

10.1 Parametric Equations  동영상 강의:    http://youtu.be/hQGCZk1tpuA

문제풀이 by 문지호       http://youtu.be/uz1DkKVeD2k

문제풀이 by 임효정       http://youtu.be/Ybs68e0iMZI

10.2 Calculus with Parametric Curves   http://youtu.be/QFMSbGKhoX4

문제풀이 by 장찬영  http://youtu.be/yF5oZOQVnCE

10.3 Polar Coordinates    http://youtu.be/lKPJeAGw0ZA

문제풀이 by 계성곤  http://youtu.be/smAmDRK-tWY

문제풀이 by 황인철  http://youtu.be/4hoVKvk8dq0

10.4 Areas and Lengths in Polar Coordinates http://youtu.be/qHEl7KHOAfE

문제풀이 by 곽주현 http://youtu.be/LRmasW9uqYY

문제풀이 by 변희성    http://youtu.be/ONItxvlsnb8

문제풀이 by 이한울    http://youtu.be/CZ9SHMtqVy4

Chapter 11. Vectors and the Geometry of Space

11.1 Three-Dimensional Coordinate Systems

문제풀이 by 김태현  http://youtu.be/_s_2T1VVob8

11.2 Vectors

문제풀이 by 오교혁  http://youtu.be/BFgh6irMqsc

11.3 The Dot Product

11.4 The Vector or Cross Product

11.5 Equations of Lines and Planes

문제풀이 by 구본우  http://youtu.be/lxuGE_Erthg

Chapter 12. Vector Valued Functions

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

문제풀이 by 최양현  http://youtu.be/jvMI6OzdR_I

12.2 Calculus of Vector Functions

문제풀이 by 김동윤  http://youtu.be/VS5rPyOjP2I

12.3 Arc Length and Curvature

*12.4 Motion Along A Space Curve: Velocity and Acceleration

Chapter 13. Partial Derivatives

13.1 Multivariate Functions

문제풀이 by 구본우  http://youtu.be/As_0AYApHlM

13.2 Limits and Continuity of Multivariate Functions

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

문제풀이 by 김동윤            http://youtu.be/rSYLp1mSMXY

13.4 Differentiability and Total Differentials

문제풀이 by 김범윤  http://youtu.be/qDmCWBiXbIA

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

문제풀이 by 김유경        http://youtu.be/vzN5By6qzvM

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

문제풀이 by 김태현     http://youtu.be/2_7TOUuzJoE

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

문제풀이 by 서용태      http://youtu.be/GDkE8OqUvsk

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

문제풀이 by 오교혁   http://youtu.be/FWmk_MasIjE

13.9 Lagrange Multiplier

문제풀이 by 이원준  http://youtu.be/YMGdQWBzyrI

Chapter 14. Multiple Integrals

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

문제풀이 by 이인행    http://youtu.be/w8g9fgcEP4A

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

문제풀이 by 이지석   http://youtu.be/jpsObxtZ50A

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

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

문제풀이 by 최양현     http://youtu.be/F9u6pMubVRs

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

문제풀이 by 이인행         http://youtu.be/C-uPM3km96k

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 동영상 강의: http://youtu.be/q0aVmUCXgTI

문제풀이 by 김동윤  http://youtu.be/iSUME4Q1WPM

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

문제풀이 by 김범윤      http://youtu.be/ZdRjCfJeHM8

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

문제풀이 by 김유경   http://youtu.be/TreCe8ESEiU

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

문제풀이 by 서용태   http://youtu.be/wLTHYaANwtI

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

문제풀이 by 오교혁 http://youtu.be/j7F3xVNdHvA

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

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

문제풀이 by 이원준 http://youtu.be/s_MRgW2By38

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

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

문제풀이 by 최주영  http://youtu.be/vGMLoGWF1Is

[실습실] (New Version) http://matrix.skku.ac.kr/cal-book1/

Part I  Single Variable Calculus

Part II  Multivariate Calculus

Part I  Single Variable Calculus

http://matrix.skku.ac.kr/Cal-Book/part1/part1.html

Part II  Multivariate Calculus

[Grapher]

http://matrix.skku.ac.kr/cal-lab/sage-grapher-Fermat-Spiral.html