Udemy - Advanced Calculus/Real Analysis with the Math Sorcerer

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Advanced Calculus - Real Analysis with the Math Sorcerer [TutsNode.com] - Advanced Calculus 07 Limits
  • 035 Delta Epsilon Proof with Cubic Function.mp4 (243.8 MB)
  • 031 Delta Epsilon Proof Example.en.srt (4.9 KB)
  • 031 Delta Epsilon Proof Example.mp4 (17.1 MB)
  • 032 Delta Epsilon Proof Linear Example.en.srt (9.7 KB)
  • 032 Delta Epsilon Proof Linear Example.mp4 (131.2 MB)
  • 033 Delta Epsilon Proof Quadratic Example.en.srt (14.0 KB)
  • 033 Delta Epsilon Proof Quadratic Example.mp4 (79.4 MB)
  • 034 Delta Epsilon Proof with Trig Function.en.srt (9.6 KB)
  • 034 Delta Epsilon Proof with Trig Function.mp4 (130.4 MB)
  • 035 Delta Epsilon Proof with Cubic Function.en.srt (17.4 KB)
  • 036 Sum of Limits Delta Epsilon Proof.en.srt (4.9 KB)
  • 036 Sum of Limits Delta Epsilon Proof.mp4 (29.3 MB)
  • 037 Squeeze Theorem Proof Example.en.srt (5.5 KB)
  • 037 Squeeze Theorem Proof Example.mp4 (74.7 MB)
  • 038 Limit Proof involving Bounded Function.en.srt (4.9 KB)
  • 038 Limit Proof involving Bounded Function.mp4 (30.1 MB)
  • 039 An Interesting Example.en.srt (2.0 KB)
  • 039 An Interesting Example.mp4 (31.4 MB)
01 Introduction to Advanced Calculus
  • 001 Sets and Notation.en.srt (12.8 KB)
  • 001 Sets and Notation.mp4 (202.5 MB)
  • 002 Triangle Inequality Proof.en.srt (3.8 KB)
  • 002 Triangle Inequality Proof.mp4 (12.1 MB)
  • 003 Reverse Triangle Inequality Proof.en.srt (6.5 KB)
  • 003 Reverse Triangle Inequality Proof.mp4 (21.9 MB)
  • 004 Bernoulli's Inequality Proof.en.srt (6.8 KB)
  • 004 Bernoulli's Inequality Proof.mp4 (25.4 MB)
  • 005 inequalities.pdf (267.4 KB)
  • 005 Inequality Assignment.html (0.9 KB)
  • 006 Solution to Problem #1.en.srt (2.9 KB)
  • 006 Solution to Problem #1.mp4 (14.5 MB)
  • 007 Solution to Problem #2.en.srt (5.5 KB)
  • 007 Solution to Problem #2.mp4 (23.3 MB)
  • 008 Solution to Problem #3.en.srt (7.8 KB)
  • 008 Solution to Problem #3.mp4 (44.8 MB)
02 The Archimedean Principle
  • 009 Introduction to the Archimedean Property.en.srt (9.0 KB)
  • 009 Introduction to the Archimedean Property.mp4 (56.9 MB)
  • 010 Archimedean Property Assignment.html (0.9 KB)
  • 010 archimedeanproperty.pdf (264.7 KB)
  • 011 Solution to Problem #1.en.srt (10.2 KB)
  • 011 Solution to Problem #1.mp4 (60.7 MB)
  • 012 Solution to Problem #2.en.srt (9.5 KB)
  • 012 Solution to Problem #2.mp4 (74.6 MB)
03 Properties of Sequences
  • 013 The Limit of a Sequence is Unique.en.srt (5.6 KB)
  • 013 The Limit of a Sequence is Unique.mp4 (27.4 MB)
  • 014 Every Convergent Sequence is Bounded.en.srt (3.6 KB)
  • 014 Every Convergent Sequence is Bounded.mp4 (13.1 MB)
  • 015 The Squeeze Theorem for Sequences.en.srt (9.5 KB)
  • 015 The Squeeze Theorem for Sequences.mp4 (50.3 MB)
04 Sequences
  • 016 Convergence Proof Example 1.en.srt (7.8 KB)
  • 016 Convergence Proof Example 1.mp4 (42.6 MB)
  • 017 Convergence Proof Example 2.en.srt (12.1 KB)
  • 017 Convergence Proof Example 2.mp4 (170.9 MB)
  • 018 Convergence Proof Example 3.en.srt (9.4 KB)
  • 018 Convergence Proof Example 3.mp4 (124.8 MB)
  • 019 Proving a Sequence Converges without the Archimedean Property(Harder).en.srt (11.0 KB)
  • 019 Proving a Sequence Converges without the Archimedean Property(Harder).mp4 (45.6 MB)
  • 020 Proof sin(1_n) converges.en.srt (5.5 KB)
  • 020 Proof sin(1_n) converges.mp4 (29.5 MB)
  • 021 Proving a Sequence Diverges.en.srt (5.1 KB)
  • 021 Proving a Sequence Diverges.mp4 (18.0 MB)
  • 022 Sequence Convergence Proof Problem.en.srt (10.4 KB)
  • 022 Sequence Convergence Proof Problem.mp4 (59.0 MB)
  • 023 Convergence of Cesaro Means.en.srt (12.3 KB)
  • 023 Convergence of Cesaro Means.mp4 (50.7 MB)
  • 024 A Divergent Sequence with a Convergent Subsequence.en.srt (1.8 KB)
  • 024 A Divergent Sequence with a Convergent Subsequence.mp4 (6.9 MB)
05 Properties of Cauchy Sequences
  • 025 Every Cauchy Sequence is Bounded.en.srt (6.8 KB)
  • 025 Every Cauchy Sequence is Bounded.mp4 (27.1 MB)
  • 026 Every Convergent Sequence is Cauchy.en.srt (6.6 KB)
  • 026 Every Convergent Sequence is Cauchy.mp4 (21.4 MB)
06 Cauchy Sequences
  • 027 Cauchy Sequence Convergence Example 1.en.srt (5.6 KB)
  • 027 Cauchy Sequence Convergence Example 1.mp4 (27.9 MB)
  • 028 Cauchy Sequence Convergence Example 2.en.srt (11.6 KB)
  • 028 Cauchy Sequence Convergence Example 2.mp4 (77.0 MB)
  • 029 Cauchy Sequence Convergence Example 3.en.srt (10.3 KB)
  • 029 Cauchy Sequence Convergence Example 3.mp4 (65.7 MB)
  • 030 Cauchy Sequence Convergence Example 4.en.srt (14.2 KB)
  • 030 Cauchy Sequence Convergence Example 4.mp4 (84.1 MB)
08 Continuous Functions
  • 040 Continuity Proof Example 1.en.srt (10.8 KB)
  • 040 Continuity Proof Example 1.mp4 (63.2 MB)
  • 041 Continuity Proof Example 2.en.srt (13.0 KB)
  • 041 Continuity Proof Example 2.mp4 (73.8 MB)
  • 042 Continuity Proof Example 3.en.srt (4.1 KB)
  • 042 Continuity Proof Example 3.mp4 (21.0 MB)
  • 043 Dirichlet Function.en.srt (6.9 KB)
  • 043 Dirichlet Function.mp4 (41.7 MB)
09 Uniformly Continuous Functions
  • 044 Uniform Continuity versus Continuity.en.srt (13.4 KB)
  • 044 Uniform Continuity versus Continuity.mp4 (105.1 MB)
  • 045 Uniform Continuity Proof Example 1.en.srt (10.9 KB)
  • 045 Uniform Continuity Proof Example 1.mp4 (36.2 MB)
  • 046 Uniform Continuity Proof Example 2.en.srt (4.1 KB)
  • 046 Uniform Continuity Proof Example 2.mp4 (16.4 MB)
  • 047 Uniform Continuity Proof Example 3.en.srt (7.0 KB)
  • 047 Uniform Continuity Proof Example 3.mp4 (40.8 MB)
  • 048 Uniform Continuity Proof Example 4.en.srt (4.7 KB)
  • 048 Uniform Continuity Proof Example 4.mp4 (28.4 MB)
  • 049 Uniform Continuity Proof Example 5.en.srt (6.6 KB)

  • Description


    Description

    This is a University Level course on Selected Topics in Advanced Calculus/Real Analysis with a major focus on WRITING PROOFS:)

    Note: Advanced Calculus(aka Real Analysis) is typically considered the HARDEST course a mathematics major will take.

    This course is a step above a general mathematics course. Students should have familiarity with writing proofs and mathematical notation.

    Basically just,

    1) Watch the videos, and try to follow along with a pencil and paper, take notes!

    2) Try to learn to write the proofs as I do. If you understand the proofs then you have learned a great deal. If you can write the proofs on your own then you have really graduated to the next level.

    3) Repeat!

    If you finish even 50% of this course you will know A LOT of Advanced Calculus and more importantly your level of mathematical maturity will go up tremendously!

    Advanced Calculus is a beautiful yet notoriously difficult subject to learn and teach. I hope you enjoy watching these videos and working through these problems as much as I have:)
    Who this course is for:

       Math Majors
       Anyone with a strong desire to learn higher level mathematics

    Requirements

       Calculus 1, 2, 3, Differential equations + some proof writing experience is the typical recommendation for this material
       A strong desire to learn higher level mathematics

    Last Updated 6/2019



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Udemy - Advanced Calculus/Real Analysis with the Math Sorcerer

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Download torrent
3.7 GB
seeders:16
leechers:18
Udemy - Advanced Calculus/Real Analysis with the Math Sorcerer

Torrent hash: EB66803D4114FFF916F31D82334C83FDEF980F68