SC 107 Calculus: Where are you? Fall 2017

Weekly outline

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  • News forum
  • SC 107: Calculus, Where are you? Fall 2017

    Class Time: Monday (9:00-9:55 am) , Tuesday (11:00-11:55 am) and Friday (09:00-09:55 am)

    Place: LT-1

    "If you give a child a fish you feed him for a day if you teach him fishing you feed him for a lifetime." - a Chinese proverb

    What is good education? Giving systematically opportunity to the student to discover things by himself. - (Condensed from H. Spencer)

    Education is what remains after one has forgotten what one has learned in school. Albert Einstein

    Enjoy the last year project videos at http://www.guptalab.org/mankg/public_html//sc107f16 
    

  • SC107F16 Project Videos (Year 2016) URL
  • SC 107 Course Policy File
  • Course Catalogue Entry SC 107 File
  • SC 107 Outline URL
  • The Birth Of Calculus (1986) URL
  • Visual Calculus URL
  • What is Calculus used for? URL
  • Web Notes including Countable Examples URL
  • Basel Problem (Euler proved it at the age 28) URL
  • calculus.org: THE CALCULUS PAGE URL
  • Post your Difficulties here! Forum
  • Lecture Notes of MTH101 at IITK URL
  • MAA URL
  • Classic Book: G H Hardy : A course on Pure Mathematics URL
  • Classic Book: A course on Modern Analysis: Whittaker and Watson URL
  • Classic Book: Theory of Functions of Real Variables; Hobson URL
  • Classic Book: Newton: Philosophiae Naturalis Principia Mathematica URL
  • Good reference book: Goldberg: methods of real analysis URL
  • What is infinity ? URL
  • Advice for first years URL
  • Leave Application Form SC 107 – Calculus (You must fill this if you are unable to attend Lecture/Tutorial) URL
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  7 August - 13 August

  • Lecture 1: 11:00 hrs to 12:00 hrs (August 8, 2017,Tuesday)

    LT-1 Classroom

  • Lecture Note 1 URL
  • Countable and Uncountable Notes URL
  • Know your scientist: Georg Cantor URL
  • Know your scientist: Augstin-Louis Cauchy URL
  • Lecture1ppt File 6.6MB Powerpoint presentation

    Lecture1 Presentation

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  14 August - 20 August

  • Lecture Note 2 URL
  • Lecture Note 3 URL
  • SC 107 Tutorial 1 File
  •  Sections from Thomas Book 

    Read Section 11.2 Infinite Series (Must Read)

    Read Section 11.3 The Integral Test  (Must Read)

    Read Section 11.4 Comparison Tests (Must Read)

    Read Section 11.5 The Ratio and Root Tests (Must Read)

    Read Section 11.6 Absolute and Conditional Convergence (Must Read)

    Read Section 11.7 Power Series (Must Read)

  • Classic Book: Bromwich's Infinite Series URL
  • Classic Book: G H Hardy - Divergent Series URL
  • Know your scientist: Jean le Rond d'Alembert URL
  • when-things-get-weird-infinite-sums URL
  • Limit of a Sequence Examples (Must Read) URL
  • Solving epsilon-delta problems URL
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  21 August - 27 August

  • Lecture Note 4 URL
  • Lecture Note 5 URL
  • Lecture Note 6 URL
  • Bonus Home Work 2 on Series File
  • SC 107 Tutorial 2 File
  • Uniform continuity URL
  • Love Affair URL
  • An infinite series surprise URL
  • maths in a minute- writing-infinite-sums URL
  • mathematics- marriage and finding somewhere to eat URL
  • Online Derivative Calc URL
  • SC 107 Tutorial 3 File
  • Maxima / Minima Notes (Must Read) File
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  28 August - 3 September

  • First In sem Test  (30 Aug - 02 Sept 2016)

  • Test Sample 1 File
  • Test Sample 2 File
  • MATH 101 Practice Assignment IIT Kanpur File
  • Sample Test Writing File
  • Prashnawali File
  • Test Sample 3 File
  • Test Sample 4 File 90.7KB PDF document
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  4 September - 10 September

  • SC 107 Tutorial 4 File
  • Lecture Note 7 (Must Read) URL
  • Plot 2 variable functions online at MIT URL
  • Multivariable Calculus Online URL
  • Schaum's Outline of Vector Analysis, 2ed (Schaum's Outline Series) Paperback – 1 Jun 2009 by Murray R Spiegel (Author), Seymour Lipschutz (Author) URL
  • Schaum's Outline of Advanced Calculus, Third Edition (Schaum's Outline Series) Paperback – 1 Mar 2010 by Robert C. Wrede (Author), Murray R Spiegel (Author) URL
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  11 September - 17 September

  • Lecture Note 8 (Must Read) URL
  • Lecture Notes 9 (Must Read) URL
  • SC 107 Tutorial 5 File
  • Text Book for Complex:

    Schaum's Outline of Complex Variables, 2ed (Schaum's Outline Series), 

    by Murray R Spiegel, Seymour Lipschutz, John J. Schiller

    Theory and Problems of Complex Variables (Schaum's Outline)

    Murray R. Spiegel

    Additional (Advanced Books) References:

    1. Theory of the functions of the complex variables, E. T. Copson

    2. Complex Variables and Applications, Ruel V. Churchill

    3. Complex Analysis, L. V. Ahlfors

    4. A Theory of functions, E. C. Titchmarsh

  • Visual Complex Analysis URL
  • Cauchy Riemann Equation URL
  • Phase Plots of Complex Functions URL
  • The Wolfram Functions Site URL
• This week
  

  18 September - 24 September

  • Lecture Notes 10 (Must Read) URL
  • Lecture Notes 11 and 12 (Must Read) URL
  • Harmonic Functions URL
  • Riemann Surface of sqrt(z) URL
  • Riemann Surface of ln (z) URL
  • SC 107 Tutorial 06 File
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  25 September - 1 October

  • Lectures Notes 13 (Must Read) URL
  • SC 107 Tutorial 7 File
  • Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus

     (1965, ISBN 0-8053-9021-9) by Michael Spivak

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  2 October - 8 October

  • Lecture Notes 14 (Must Read) URL
  • Lecture Notes 14.1 (Must Read) URL
  • Lecture Notes 14.2 (Must Read) URL
  • Isolated Singularity URL
  • Mandelbrot set URL
  • SC 107 Tutorial 8 File
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  9 October - 15 October

  • Second Insem Test

    09 Oct 2017 to 12 Oct 2017

  • Test Sample 1 File
  • Test Sample 2 File
  • Test Sample 3 File
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  16 October - 22 October
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  23 October - 29 October
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  30 October - 5 November
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  6 November - 12 November
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  13 November - 19 November
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  20 November - 26 November
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  27 November - 3 December
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  4 December - 10 December