강의링크 모음
미적심화과정 1
미적심화 0309 (음함수 미분1)
https://drive.google.com/file/d/1-dFJaOyX10y_8ezMKe5lzD7nOLQ70Hvk/view?usp=sharing,
미적심화 0309(음함수 정리2)
https://drive.google.com/file/d/1KJVoEhKrfCtyaOJ-z2P_Vy_MEmUZYar3/view?usp=sharing,
미적심화실시간0309(Chain Rule1)
https://drive.google.com/file/d/1R8OYbQQtwoRosxBTwmaTckzB6DRAYWHj/view?usp=sharing,
미적심화 0309 (Chain Rule 2)
https://drive.google.com/file/d/1Xent8Ichkt1v3BpJTwVfoK5xrbq9WRiJ/view?usp=sharing,
미적심화실시간0309(Chain Rule3)
https://drive.google.com/file/d/1TPAQARINctEVdIGA5KLmd7faF9qaSaJq/view?usp=sharing,
미적심화실시간0309 (Inverse삼각함수와 미분)
https://drive.google.com/file/d/1NstywfE9nws3ntnK4Oe_5xJWEyCrmXRN/view?usp=sharing,
미적심화 0309(미적분학 기본정리와 응용)
https://drive.google.com/file/d/1ItDR9-cKtExS4b3UKmuWMI4CXp_ZU752/view?usp=sharing,
미적심화 (적분계산법)
https://drive.google.com/file/d/1xcXvitmPgu5tiMZ6yQgQ449FygMcdalF/view?usp=sharing
미적심화 0608 (Polar Coordinate)
https://drive.google.com/file/d/1ZnqPCMmcbMDKloAdslrqtMKgBgM0f7ce/view?usp=sharing,
미적심화과정 2
미적심화 (벡터기초)
https://drive.google.com/file/d/1kp218H7-XsIRSewK-yhMFuKeUn9RfbBb/view?usp=sharing,
미적심화1013 Lagrange Multiplier
https://drive.google.com/file/d/1TwSCzR4s6dFufLZ-yvDzXB2zfU7KiDMd/view?usp=sharing,
미적심화 (Double Integral 1012)
https://drive.google.com/file/d/1ER0VM-qy3kojYqiPiuKpSCjgTjuY2UT1/view?usp=sharing,
선행대수 개론 (Introduction)
선형대수 1 가우스 소거법 (노트 1.1, 강의4.27(1))
https://drive.google.com/file/d/164kUyXXcxvYCAYs_x5BElkbgdWrPqGpQ/view?usp=sharing,
선형대수2 행렬곱 (노트 1.2, 1.3, 강의4.27(2))
https://drive.google.com/file/d/1cQFUDulHFrJ7xOvG7XEH6_0mjElwg4ht/view?usp=sharing,
선형대수3 역행렬 (노트 1.4 강의4.27(3))
https://drive.google.com/file/d/1q4XcuPh8puX8SpHYD5uFP2CJIc8hstTA/view?usp=sharing,
선형대수 4
Vector space, Span (노트 2.1, 강의5.1(1))
https://drive.google.com/file/d/1aw1YU87BO23vFXnmuQcDeh7AGlb9jaK3/view?usp=sharing,
선형대수 5 linearly Independence (노트2.2, 강의5.1(1))
https://drive.google.com/file/d/13oakG12ENqxWY3pp6zBQv708AQeyE3hF/view?usp=sharing,
선형대수 6
Basis 노트 (2.2-2.3 강의5.1(2))
https://drive.google.com/file/d/1cBk0Pekzarz0iUJbhdjwwrVfDbvvlwxe/view?usp=sharing,
선형대수 7 노트 (2.3), 강의5.1(2)
Coordinates
https://drive.google.com/file/d/1ko9mXX4nzumaXsG10AugNqfR8nr0iGmJ/view?usp=sharing,
선형대수 8 (노트 2.4, 강의5.1(3))
Row Column Null Space (Rank-Nullity Thm)
https://drive.google.com/file/d/1ab0nWRMcS84fxLCRjMbhe84zn3ycEC5U/view?usp=sharing,
선형대수개론실시간 0504 (선형변환 행렬식 의미 요약)
https://drive.google.com/file/d/1ARSMIVr099BQipPvWf1k83x6xD4rpZc6/view?usp=sharing,
선형대수 9 행렬식의 의미 (Determinant 개념, 노트 3장, 강의 5.10)
https://drive.google.com/file/d/159S-86HwnJDw9uT0MXMTWLCSRm69d-9B/view?usp=sharing,
선형대수 10 행렬식의 정의 (Determinant 정의, 노트 3장, 강의 5.10)
https://drive.google.com/file/d/1jnt9lgV1CSQ8d6OCUwdxPesUkAJ-idM6/view?usp=sharing,
선형대수 11 순열과 행렬식 (Permutation과 Determinant, 노트 3장, 강의 5.10)
https://drive.google.com/file/d/1T1Ei-SoXVFm8_c80koWSoWTAG-GXHdV1/view?usp=sharing,
선형대수12 행렬식 성질(Determinant 성질과 Its Computation, 노트 3장, 강의 5.10)
https://drive.google.com/file/d/1JNu0d-olmyF1mYmDbILmkZNbiS66wIhT/view?usp=sharing,
선형대수개론실시간 0511 (선형변화기초, Linear Transform)
https://drive.google.com/file/d/1OIF_DGFNm26YkGwlCS1qnI_CRvpHi-md/view?usp=sharing,
선형대수13 (선형변환 isomorphism, 강의5.16)
https://drive.google.com/file/d/1p-GU9v7VkqvxrHcTZ_0Lh8n5QMf-5r3n/view?usp=sharing,
선형대수14.1 (선형변환성질, 강의5.16)
https://drive.google.com/file/d/17Q3233wSstQptMp-NDccU_hdIyxCHv8J/view?usp=sharing,
선형대수 14.2 (선형변환 matrix representation, 강의5.16)
https://drive.google.com/file/d/1AjryqFh588A3IfiowhgraZQe7x_Oa5Wn/view?usp=sharing,
선형대수15 (Similarity, 강의5.16)
https://drive.google.com/file/d/1wguqc5GokM_2CgSEn73kwOKZ-rue88bc/view?usp=sharing,
선형대수개론실시간 0518 (Matrix Representation과 Digagonalization 요약)
https://drive.google.com/file/d/1DtoZ-VjfDTS17P-8YAzkHkwLgqJY1Ft0/view?usp=sharing,
선형대수16 (Diagonalizable 노트 5장, 강의5.23)
https://drive.google.com/file/d/10Dd0Jlkrci7JyMSNQ92dSS1i3PsWp64T/view?usp=sharing,
선형대수17 (Orthonormal basis, Projection 노트 7장, 강의5.23)
https://drive.google.com/file/d/1wjwzNSRa0phTUZSDY8sfQHO5e33wg9oj/view?usp=sharing,
선형대수개론실시간0525 (대각화 응용 요약)
https://drive.google.com/file/d/1MfwzVPRsjbPVayqzjEeVIiyV75YUed-3/view?usp=sharing,
선형대수개론실시간 0525 (내적공간,Projection)
https://drive.google.com/file/d/1W2qzxhI1T7rbQqu4eAon9-VOMo26AMLI/view?usp=sharing,
선형대수 18 Hermitian Matrix (노트 7장)
https://drive.google.com/file/d/1XvSRW_zW3gy9tq4qYO1lmd_6ocbq5Y5-/view?usp=sharing,
선형대수 19 Schur's lemma (노트7장, Orthogonally, Unitarilly Diagonalizable)
https://drive.google.com/file/d/1uXwEjXe8kt7BkpXitN1jZE22WIDov4_J/view?usp=sharing,
선형대수 20 Best Approximation
https://drive.google.com/file/d/1yRRWXrFfPPfJKacpiiykM5aPVz0rbiGS/view?usp=sharing
선형대수 21 Least Square Sum and Applications
https://drive.google.com/file/d/1xige2fyM2CJEF2CXb7eTYEnw3flr95nh/view?usp=sharing,
해석학개론
해석개론 0309 (Metric Space)
https://drive.google.com/file/d/1RvVctPqxMnk91wkfLX4ludvJ7vItVqCD/view?usp=sharing,
해석개론 0316 (Supremum, Construction of Real Numbers)
https://drive.google.com/file/d/1UsEM8m6dIhvT_XDp2okhAudACv0UUxGs/view?usp=sharing,
해석개론 0316(2) (Limit Point)
https://drive.google.com/file/d/1d4w0fhvMooG5qzw8zpDdCHXFxxEcQqy9/view?usp=sharing,
해석개론실시간 0323 (Real Numbers, Countable Uncoutable Set, Sequence)
https://drive.google.com/file/d/1Aa8CnaGnB54lqHDGM1jdFwjgdwHUOpUX/view?usp=sharing,
해석개론 실시간 0406 (Convergence of Series, Summation by parts)
https://drive.google.com/file/d/1JDQ1LlW67GUh3nDeS0xooDf6SIVIGjVS/view?usp=sharing,
해석개론 0413 (연속함수)
https://drive.google.com/file/d/1lN4KrBVjHafIJXB9a1H3j95niq_zvNtV/view?usp=sharing,
해석개론 (선형근사1)
https://drive.google.com/file/d/1EPJjHSvPKOJbwnrMiR4AYqNM95tkXKHS/view?usp=sharing,
해석개론 (선형근사2)
https://drive.google.com/file/d/1jjm7vqBg3CMHzr-SYL-dWkiHLRXPf62L/view?usp=sharing,
해석개론 (Newton Method)
https://drive.google.com/file/d/1ITmykxw0JNJpD0vypeoY8cGHEsoMUJMX/view?usp=sharing,
해석학 링크 1
1-1 Real Number system
https://drive.google.com/file/d/1L0Wk9DEqNou6sL1nzel3Kus35izBKKF9/view?usp=sharing,
1-2 Least Upper Bound
https://drive.google.com/file/d/1heVH0qg8aXD1YJPepTOIIAEGjCIhErai/view?usp=sharing,
1-3 Nested Inverval Thm
https://drive.google.com/file/d/1xhlC6efhUpZ-kUPWMtHZsJcwoJ2kTEie/view?usp=sharing,
2-1 Metric Space
https://drive.google.com/file/d/1G7UJTFAB7QSbqIGsgCqdlXu1txT6Jkl1/view?usp=sharing,
2-2 Open Set
https://drive.google.com/file/d/10Mbplc6E2VM7jjgJJ_JFbYTM07aRl8Hk/view?usp=sharing,
2-3 Limit Point
https://drive.google.com/file/d/1T02ljGdzplV9afvmhv6KGeADlnkitviL/view?usp=sharing,
2-4 p ardic numbers
https://drive.google.com/file/d/1ZGYIdOU3Gtj89tEteopbo8qJEn_bvE9z/view?usp=sharing,
3-1 Limit of Sequence
https://drive.google.com/file/d/1WYYv81GzVNqmqoin-SM5G2dhIfalMwqB/view?usp=sharing,
3-2 Limit Point
https://drive.google.com/file/d/1vFJi9DKmFY8gXfpBhkS8vD4jEk7r1cOl/view?usp=sharing,
3-3 Cauchy Sequence
https://drive.google.com/file/d/1a8LL6er745N9QlVVbPRDnV8YW_Djx-qx/view?usp=sharing,
4-1 Limsup Limif
https://drive.google.com/file/d/12_3LuR7CB44QYZ-KNFL3MQSrfNNxma4U/view?usp=sharing,
4-2 Convergence of Series
https://drive.google.com/file/d/1GPV1-DMZd5P8z01juH8UMdTziZWnoAlK/view?usp=sharing,
4-3 Summation with oscillation
https://drive.google.com/file/d/1QJuSFdoYKAG-UETg8Uraq5hjT6zS_639/view?usp=sharing,
5-1 Compactness
https://drive.google.com/file/d/10jHb8Wyv5ev_f4XLQLYPKkzrID4fMZ-i/view?usp=sharing,
5-2 Heine Borel Theorem
https://drive.google.com/file/d/1XXbZwv0DTVb_HYa-sbL2ccTzyN50NnnE/view?usp=sharing,
5-3 Cantor Set
https://drive.google.com/file/d/1SeRkrNQRkLzAT7xFUY8dZL81-CmAUoMV/view?usp=sharing,
6-1 Sequential Compactness
https://drive.google.com/file/d/1VNFLxPwqUKKdBZ0BMhSypuLRMd8XDgmV/view?usp=sharing,
6-2 Continuity
https://drive.google.com/file/d/1wn4kaPNQ0NAV-9N-5e4_Uj861AqJJIhc/view?usp=sha
ring
6-3 Connectedness
https://drive.google.com/file/d/1TginlV3wc1kzAubV6OU9h0Utwrf_fkCs/view?usp=sharing,
7-1 Derivative
https://drive.google.com/file/d/11n2UqgYQY_MLxXDL8PazUo12ho_-CZHm/view?usp=sharing,
7-2 Taylor Thm
https://drive.google.com/file/d/1p5VdksWJlOSr2z9KtavLEPYF_y2-VJ9T/view?usp=sharing,
7-3 Analytic Function
https://drive.google.com/file/d/1-ZkaRd_MUWzNLVkUqaD3UOp1G-iSsvCm/view?usp=sharing,
8-1 Rieman Integral
https://drive.google.com/file/d/12akyuBp3xPHFrhA45laNXkh_CMfn8nFB/view?usp=sharing,
8-2 Fundamental Theorem of calculus
https://drive.google.com/file/d/1zvYuL6UKzd7tNkfX2gpogxZLhH2xlJAO/view?usp=sharing
8-3 Discontinuity
https://drive.google.com/file/d/1J47BNL3xqx2-BWb5e6IpmrlcxCRm6yyL/view?usp=sharing,
10-1 Uniform convergence
https://drive.google.com/file/d/1OgirWCRn6gSaTwaJPc-20aWlyoAjTZHt/view?usp=sharing,
10-2 Uniform Convergence
https://drive.google.com/file/d/1nU9HYmrI-cbvSQPCtdOWkiBu7gYoufGS/view?usp=sharing,
11-1 Arzella-Ascoli Thm
https://drive.google.com/file/d/1qbiUResaWsad6F7Pmr8_VkrXgLyGlQ1i/view?usp=sharing,
https://drive.google.com/file/d/1tWI-QvJ2EuSknmLrMwLP3Yv-J7r8A6Xo/view?usp=sharing,
11-2 Weierstrass Approximation
https://drive.google.com/file/d/1GsnkQkeamsA4SqdFs-AoyE_1ZFjgiH8_/view?usp=sharing,
12-1 Analytic Function
https://drive.google.com/file/d/1kAf_YPcPE5-j3TA04zSNQEBReFice7YD/view?usp=sharing,
12-2 Identity Theorem
https://drive.google.com/file/d/1QsdY-IzHhMhlPvCsFqK3GZhXuQPZ0772/view?usp=sharing,
13-1 Fourier
https://drive.google.com/file/d/1IYtNbokJJ93G2gX7x1_CkEjdFUtmUY06/view?usp=sharing,
13-2 Fourier
https://drive.google.com/file/d/19gNMUJ2fgwkypKm6J1q83Q-4zjUUI-BG/view?usp=sharing,
13-3 Fourier
https://drive.google.com/file/d/1-uIPOSaDBLUcMJbfgJLbYFNnj0mMgHzP/view?usp=sharing,
13-4 Fourier
https://drive.google.com/file/d/1g_PsDsBrhmwmJ-6SLDAEuz6MKStoV9Ec/view?usp=sharing,
13-5 Fourier
https://drive.google.com/file/d/1eFWKBIVwCvWDYhAwS8QDucSFaBDukwe8/view?usp=sharing,
13-6 Fourier
https://drive.google.com/file/d/1g7cjRqXaBveA7XzWKko-3Px8eSZO3E2f/view?usp=sharing,
13-7 Fourier
https://drive.google.com/file/d/18-afIRuv19rFmgYsjTvZpYvZ_C3skWrY/view?usp=sharing,
해석학 2 강의 영상
교재: W. Rudin, Principle of mathematical analysis
주요 참고문헌: I.M Singer, J.A. Thorpe Lecture notes on elementary topology and geometry
강의 노트 참조
1-1 Contraction Mapping Principle
https://drive.google.com/file/d/1uY8Ig5YirIVoqHfGBICvY_CspYOvt1YU/view?usp=sharing,
1.2. Applications to ODE
https://drive.google.com/file/d/12vjlboQuNGyZ2-rdXxad_QuP9wRudAMl/view?usp=sharing,
2-1 Meanings of Derivative
https://drive.google.com/file/d/1p2cHIdx943OXhwqB2UvkRFw8Vwrw1B0g/view?usp=sharing,
2-2 partial derivatives and differentiability
https://drive.google.com/file/d/1WxQCpHpy4EdgEfwFOdCn2R1OxKJggFdP/view?usp=sharing,
2.3 General Linear Group
https://drive.google.com/file/d/19B1ubau6pzH4li5VTqmhbEoQ6F7w0rST/view?usp=sharing,
3-1 Closed Linear Group
https://drive.google.com/file/d/1lpiuAhPOMynY2kp6AluVGNWaKftVRoJ8/view?usp=sharing,
3.2 Multi-variable Taylor Series
https://drive.google.com/file/d/1LVgX-ZMKeVjcPUAr18Rl7EuMK4whw-SY/view?usp=sharing,
3-3 Gaussian Curvature
https://drive.google.com/file/d/1ycsQkk38ZD3iGVTguiG7HpParM75NHod/view?usp=sharing
4.1 Inverse Function Theorem
https://drive.google.com/file/d/17VcVsWm0yxPu_nGZHa9HE0GpYenWXwSn/view?usp=sharing,
4.2 Implicit function theorem
https://drive.google.com/file/d/10WgW2CtNMwLqDN3AHNNMUiT256kQA4zO/view?usp=sharing,
5-1 Manifold
https://drive.google.com/file/d/1m97UTqd7ph1Ws5c8lWezuA6DCIuWdCg4/view?usp=sharing,
5-2 Local Graph
https://drive.google.com/file/d/1oEON7t-aOlW1G__lG5n4_Ltrx962qXne/view?usp=sharing,
5.3 Tangent Space
https://drive.google.com/file/d/1iqXf5BVNF4m0Fvmcri7-ssj06FXq8JBg/view?usp=sharing,
6.1. Tangent Spaces (derivation)
https://drive.google.com/file/d/137FNFAi5DigXCGlD0tEshEmaU1bAnVx3/view?usp=sharing,
6.2 Differential (유클리디안 공간이 아닌 Manifold위에서의 다변수 미분)
https://drive.google.com/file/d/15012_fsKNr4GsWBQDY5SEbmwRzURjc8t/view?usp=sharing,
6.3 Project Problem page 42-44 Application to PDE
https://drive.google.com/file/d/1SdB_7fNnu3QZmNpCTBhAlN5rE7-F1wCz/view?usp=sharing,
9.1 Differential form Motivation
https://drive.google.com/file/d/14ovQ_DrZ_qkdFwLepDJ8ti3ZLJ63JTrH/view?usp=sharing,
9-1 k forms
https://drive.google.com/file/d/1SFC96t277O3bhRbvwY8xol2NAcVO7-Of/view?usp=sharing,
9.2 Differential Form (Properties)
https://drive.google.com/file/d/15PSdw2b1Wc3fzr_egdghnrGRgJynLT4y/view?usp=sharing,
10-1-1 Differential Form의 개념 1
https://drive.google.com/file/d/1NEzPwqElIbV6TB8hGJRykBdZ7P3KzwMc/view?usp=sharing,
10-1-2. Differential Form의 개념 2
https://drive.google.com/file/d/1CzxfOgL7QPFH0rlTvtlMwWh2pHStWL8Q/view?usp=sharing,
10-2-1 Differential Form의 변수 변환 1
https://drive.google.com/file/d/1nWcK2d4neI_8zXtHk8uU7ftkMPr7tBGR/view?usp=sharing,
10-2-2 Differential Form의 변수 변환 2
https://drive.google.com/file/d/1VyARXmT_qwCDmmyujLYUq6n7w-V8lYO3/view?usp=sharing,
10-3 Simplex and Chains
https://drive.google.com/file/d/1Zk0EJNdblOs5LwYPtwjJDJBDbhVP_uwD/view?usp=sharing,
11-1 Boundary of Surfaces
https://drive.google.com/file/d/1bo0-_5YZPK6ReEppaKT_O8l5IuIKOrxl/view?usp=sharing,
11-2 Proof of Stoke’s Theorem
https://drive.google.com/file/d/1l4GOA6hNoAbRUnC3RYEUJxdJBolEM_rb/view?usp=sharing,
12.1 Vector Calculus
https://drive.google.com/file/d/10P1ljVLrWR1SBl-mSQu3gtZyaXTwoYig/view?usp=sharing,
13.1 Exact and Closed Forms
https://drive.google.com/file/d/1kycCkM2hu5uIzS9DuHSa8Q2bFnWt--_d/view?usp=sharing,
13-2 deRham Cohomology, Poincare Lemma, Formal Definition of $k$-linear forms
https://drive.google.com/file/d/1cz6oXorHE6nv2XyMBTj-DenEdpnCbm3M/view?usp=sharing,
14.1 Homology
https://drive.google.com/file/d/1JCwaldnDVeD3GEtHsAAq-g6BtowJCw77/view?usp=sharing,
14.2 Homology
https://drive.google.com/file/d/1FD-NyKmWmiq_4fkjptwgms9zWESyUCMk/view?usp=sharing,
14-3 Cohomology and deRham cohomology (Duality Theorem)
https://drive.google.com/file/d/1ZwbdxcZ14bUfWq18dPZ5jpm_BZOO4npz/view?usp=sharing,
학부 푸리에 해석학 링크
0302 Orthogonality (Basic Concept)
https://drive.google.com/file/d/1_-aOpAQSkZrzbrkMNJM5WvrmIPGjgfpN/view?usp=sharing,
0309 1 Convergence of Fourier Series
https://drive.google.com/file/d/1FU9yvF6FOTWbsJN89VP8xGkIQFnxwFNi/view?usp=sharing,
0309 2 Parserval Thm
https://drive.google.com/file/d/1ksFrW4Fg1iedUuGIuPuoqjbCYhT0K5U8/view?usp=sharing,
0316 1 Fejer means
https://drive.google.com/file/d/1s2sIPVerHBmMCfnxYIHXeEgMn3ljb3xm/view?usp=sharing,
0316 2 Best Square Approximation
https://drive.google.com/file/d/1wJhvkpKIiTzvV1OVaIpUDnecbkJFTKeu/view?usp=sharing,
0323 2 Exponential Sum
https://drive.google.com/file/d/1zZRuSQXcyP_zQZqEstWdDT5g1uAVUpUR/view?usp=sharing
0330 1 Abel Means
https://drive.google.com/file/d/1DbXa_vJmg3QEHbEu7CSXhBsN_yuULiw1/view?usp=sharing,
0330 2 Exponential Sum, Saw tooth Function, Projection,
https://drive.google.com/file/d/1Lhin6S8fOBnbQqEn6bevPo2IqFVednyi/view?usp=sharing,
0406 1 Divergence of Fourier Series
https://drive.google.com/file/d/120SRrZBR6R-s-1xfX8ZnMbM861BUb4Rv/view?usp=sharing,
0406 2 Applications of Fourier Series
https://drive.google.com/file/d/1-LvigiC1HjrYSRzYZKMomhoyt-mRYtYp/view?usp=sharing,
0413 1 Exponential Sums 1 (Equi-distribution, Weyl Thm, Ergodic Thm)
https://drive.google.com/file/d/1bTCWHeWuZ3ecSS7-7qHY8IpvOL_DZ7LL/view?usp=sharing,
0413 2 Exponential Sums 2 (Equi-distribution, Weyl Thm, Ergodic Thm)
https://drive.google.com/file/d/1903oiKqVT7gKibDwdDQjkNZkkRep7AMX/view?usp=sharing
0427 1 Fourier Transforms and PDE
https://drive.google.com/file/d/1aE8_DuV8o9H0ihBHgzDWdkastyUc07us/view?usp=sharing,
0427 2 Uncertainty Principle
https://drive.google.com/file/d/1vXy9PbxpnsHlstXqJSp5EXUVmGIjwxM2/view?usp=sharing,
0504 1 Heat Equation
https://drive.google.com/file/d/1YvwviND1k73_OzTcSjPxBjNL1il7C5RJ/view?usp=sharing,
0504 2 (Poisson Summation formula)
https://drive.google.com/file/d/13AhfGeXOWIwQXNP3ZWt3mvhnTaDRZ59v/view?usp=sharing,
0524 (Radon Transforms Motiv)
https://drive.google.com/file/d/1WiO_WkgSVG1HuzV_y2TPcOhHOs8v0vcw/view?usp=sharing,
0525 Radon Transforms
https://drive.google.com/file/d/1lnkUD47kpOqCZRqSNoJxVxtF6-tr90n-/view?usp=sharing,
0511 1 Linear PDEs Wave
https://drive.google.com/file/d/1U8NDfyOsBYIbEYTPoJon1m78YTSmVAxA/view?usp=sharing,
0511 2 Wave and Schrodinger Equations (oscillatory integrals)
https://drive.google.com/file/d/12ER9qWngPgDcLk08XeIZAXgBX2D1QHXA/view?usp=sharing,
0518 1 Estimate of oscillatory integrals
https://drive.google.com/file/d/1TB2GYpfyPbvzR4g_Vhy-JZvShvU2fx50/view?usp=sharing,
0518 2 Van der Corput lemma
https://drive.google.com/file/d/11VdwTKotgyNhj98D6IHEtHNg9axAnVmQ/view?usp=sharing,
0524 Gauss Circle Problem
https://drive.google.com/file/d/1Aw0is0MwpcIZAI9MqOhUfJw6FgMPTjDA/view?usp=sharing,
0524 (Stationary phase Method)
https://drive.google.com/file/d/1IR-MUqY85r8aSt5r_XttyXC_5Vfuozum/view?usp=sharing,
0524 (Fourier transform of surface carried measure)
https://drive.google.com/file/d/1ZgIXIMcUKZdAuWTboLSsLeyrxSSNiMs9/view?usp=sharing,
0525 1 Finite Fourier Analysis
https://drive.google.com/file/d/1RaAgA6rmRpMck0J7Wa-56ndFvDx_aln2/view?usp=sharing,
0525 Fourier Series on Z_N, Number of operations for Fourier coefficients
https://drive.google.com/file/d/1JXeefRd6Km4Qik7ef9UFYwlLP1cNJJcJ/view?usp=sharing,
0528 (Fast Fourier transforms)
https://drive.google.com/file/d/1XiJVXHTRY5PDPv6u-TBoYjcMsHiidIaN/view?usp=sharing,
Dirichlet 정리 증명 1
https://drive.google.com/file/d/1bSVpZ6pamf5jAZbJzwJxcRIlaDYtGsZH/view?usp=sharing,
Dirichlet 정리 증명 2
https://drive.google.com/file/d/1M6CLcXmBAbpYXWw140ckTZBzf4vkiklQ/view?usp=sharing,
Dirichlet 정리 증명3
https://drive.google.com/file/d/1FWyODYrWoaYki8eZBrHMxdXJTasIA2bv/view?usp=sharing,
0601 1 Dirichlet 정리 설명
https://drive.google.com/file/d/1mUekioX1WMCXCSScGH5sHQJVXk_aJXdh/view?usp=sharing,
0601 2 Dirichlet 정리 설명
https://drive.google.com/file/d/1hDYyQ6d_Ic-KKdaTfn8Uye3Rflbn7RZu/view?usp=sharing,
0608 1 Fourier Analysis 요약
https://drive.google.com/file/d/1i92dNhOceCWhjmHS2rJff1vPkamxHxO_/view?usp=sharing,
0608 2 Random Variables and Fourier Analysis
https://drive.google.com/file/d/1F2GzC3s5313MGsap3Y8jCUB1RlBouqkK/view?usp=sharing,
조화해석학 기초과정 링크
1-1) Basic Oscillatory integral estimates
https://drive.google.com/file/d/13fD3OmGH8zVgdcgmqHr6ovNdqgu5ioGQ/view?usp=share_link
1-2) Application to Singular Integrals (Proof of Marcinkiewicz multiplier theorem
https://drive.google.com/file/d/1RLZAcmYh-aQeGu8Cl5ssJZaFuHtpUSge/view?usp=share_link
1-3) Van der Corput lemma and Decay for non-vanishing Hessian cases
https://drive.google.com/file/d/1ClOcdoaJx8M7xo8LxaJ_HCxNhVax0-Mo/view?usp=share_link
1-4) Appliaction of Van der Corput; Hilbert transform along curve,
https://drive.google.com/file/d/1kyukH3pMXxcruvC6g_O3Hm3Ct6dr5HOp/view?usp=share_link
1-5 Fourier transform of surface carried measures
https://drive.google.com/file/d/10sXr3SvQiRMwjU-nFkeu589Fkujqnxzd/view?usp=sharing
1-6. Asymptotics Oscillatory integrals (Stationary Phase Method)
https://drive.google.com/file/d/1O0MgErM92VhWE8vHcdNSlbO14sXFYaVs/view
1-7 Sphere Average
https://drive.google.com/file/d/1uUmQrGmHZEgS4MT7JBiLtbqQSlLXWNJO/view
2-1 Restriction Motiv
https://drive.google.com/file/d/1hz1TBfUSE75d6OtqdNDeGuX_qKKIhou1/view?usp=sharing
2-2 Restriction indices and Fourier Restriction for $f$ in L2
https://drive.google.com/file/d/1RJ7p52yg48fX4FzXarJQVt8U5TZ8FnFg/view
2-3 Fourier Restrction Proof of L^1L^\infty L^2 L^2
https://drive.google.com/file/d/1RdJHf988wZZM4HtBHLX7rsxEARHvHG5i/view
2-4 Stein Tomas Theorem (complex interpolation)
https://drive.google.com/file/d/17uIntHQitqOv0l7XdKTbI4FNKem9bwfs/view?usp=share_link
2-5 Strichartz Estimate for general dispersive equation
https://drive.google.com/file/d/1xu6ZMhTsiortkQA3V_buny6WOYnXnEt8/view?usp=share_link
Wave packet4
https://drive.google.com/file/d/1aYMtpgvpKjjKrn3SYy2eISf3-uzdsnl1/view?usp=sharing
Wave Packet3
https://drive.google.com/file/d/18QDQkcugxcL3W5_rIlQvgJqVF2ot2wyP/view?usp=sharing
Wave Packet2
https://drive.google.com/file/d/1954a5LmMl5i-GyFEieqA0OOjsOGgTg7a/view?usp=sharing
Wave Packet1
https://drive.google.com/file/d/1ev7CJvcmyFFt0xIWKQoU-qHPebx9UkKf/view?usp=sharing
Restriction (Stein Tomas)
https://drive.google.com/file/d/1RdJHf988wZZM4HtBHLX7rsxEARHvHG5i/view?usp=sharing
5) Spherical Maximal Function
https://drive.google.com/file/d/1kQMeZpAhg7PBqMMqUNbrs-Ewo0IrV4Bp/view?usp=share_link
(6-1) 6주 Radon Transform
https://drive.google.com/file/d/1zg33oNDfmbozwzrRa21ErPDfSWQuGgwB/view?usp=sharing
(6-2) 6주 Hilbert transform along surfaces, Oscillatory Singular Integrals
https://drive.google.com/file/d/16hJzrM_ghR0eoG2LOZ9AyU2Ibi6hUd8w/view?usp=share_link
(6-3) Hormander Theorem, Rotational Curvatures
https://drive.google.com/file/d/1AYjmMh7zCDauiBBlDFKAq3_8gsz7GLgP/view?usp=share_link
(7-1) Stein Tomas Theorem
https://drive.google.com/file/d/1AYjmMh7zCDauiBBlDFKAq3_8gsz7GLgP/view?usp=share_link
(7-2) Annulus Max
https://drive.google.com/file/d/1fYBK_vcU7YKpR7GoQKW0aSLTDMULgMCB/view?usp=share_link
(7-3) Nikodym
https://drive.google.com/file/d/1hT2lAqaLvtn-Uqytf41XpI6W_C3VMibF/view?usp=share_link
(7-4) Bochner Riesz
https://drive.google.com/file/d/16X7xzd4Hd1OitlZ_y3-Db23vuKTAd73Y/view?usp=share_link
(9-1) Bilinear Restriction
https://drive.google.com/file/d/1iro2vXOrr--POPwGTkXTCiko-MxhH2Uu/view?usp=share_link
(9-2) Square sum Vinogradov
https://drive.google.com/file/d/1bziKjgbOS7LVvYInHnvEP2dUbS9LHnbh/view?usp=share_link
(9-3) Wave Packet
https://drive.google.com/file/d/1Wdmrqd0-nBoUehcOy8fSbXkEd1rw7NGu/view?usp=share_link
(10-1) Exponential Sum Motivation
https://drive.google.com/file/d/1wZsmBQ4J8JW6_By06qPRxpT1ePwjTyqk/view?usp=share_link
(10-2) Dirichlet Approximation and Weyl Sums
https://drive.google.com/file/d/12wXIBc19qZC52fZv37B6zexmhqpWQhzw/view?usp=share_link
(10-3) Weyl Sum (Degeree 2)
https://drive.google.com/file/d/1XPJe01zJmEO67Inc28dvriFTkM62kXXM/view?usp=share_link
(11-1) Discrete Hilbert transform along curve
https://drive.google.com/file/d/1ep7rZ4xC1Tz-J8WM9s6SppdQxppkZhUX/view?usp=share_link
(11-2) Discrete Hilbert transform along curve
https://drive.google.com/file/d/1r_a7-nuZTt13DCRofahuqIzxuPxdi--E/view?usp=share_link
(12-1) Restriction Paraboloid
https://drive.google.com/file/d/135bLy6_g4qUU789LDYp0s_owQwGhUfSZ/view?usp=share_link
(12-2) Restriction Paraboloid
https://drive.google.com/file/d/1WnqxSFV--F77vhcEtS3FWqPsVKDa0TQS/view?usp=share_link
(12-3) Restriction Paraboloid
https://drive.google.com/file/d/1sUOSO1VHUp9f3_YAcmGNypST5cQTK80N/view?usp=share_link
(12-4) Restriction Paraboloid
https://drive.google.com/file/d/1Gp0tWnpobU02CZG6n_-bjX7w35HqKNcX/view?usp=share_link
Decouling
(1) Introduction of decoupling
https://drive.google.com/file/d/197GXVCAdDFT36Tnw8IknL77M4u0HLT1X/view?usp=sharing,
(2) parabolic rescaling
https://drive.google.com/file/d/1GMMVHrgKbXrGp2fkuJVKo6WPFvTVOwOa/view?usp=sharing,
(3) Bilinear Estimate
https://drive.google.com/file/d/10dGzGw99w-irZYN7V_tS-tu97oZS3cNd/view?usp=sharing,
(4) Bilinearization
https://drive.google.com/file/d/1vJIZblawGtrEnt0Kuc1-t1-278Vas_ul/view?usp=sharing
(5) L2 orthogonality (uncertainty principle)
https://drive.google.com/file/d/1s3b9i3MruK5zmpE1yjFK3H0VF3HBaB3G/view?usp=sharing,
(6) Small Frequency Side (Large Space side)
https://drive.google.com/file/d/1jZYOnap9O2SaJA-yWvcnmL9ez4Tqe6XU/view?usp=sharing,
(7) l2 decouling (p=4)
https://drive.google.com/file/d/1C4oAb-VpsSbbaA_0fLkMzY-EwpzoyRHk/view?usp=sharing,
Newton polyheda and oscillatory integrals
(1) Newton 1
https://drive.google.com/file/d/14QNes7Ct1MGYtvifeQ1tCIsaq2Qyh_Aa/view?usp=sharing,
(2) Newton 2
https://drive.google.com/file/d/1wiC8L6F45SeviVUA121Wpl1E96oI3dku/view?usp=sharing
(3) Newton 3
https://drive.google.com/file/d/1-7THKjOWMWg9BtB8PYczOks7Px3dR9RB/view?usp=sharing,
(4) Newton 4
https://drive.google.com/file/d/1ovugjcZ29iEumRKCoC1C3AT6cEUu_9AC/view?usp=sharing,
(5) Newton 5
https://drive.google.com/file/d/1ff3JADneBJ416ut95Jw5Tfr7dOqig6Vl/view?usp=sharing,