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
  • SC 107 Tutorial 4 Solutions File
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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
  • SC 107 Tutorial 5 Solutions File
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  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
  • SC 107 Tutorial 6 Solutions 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

  • SC 107 Tutorial 7 Solutions File
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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
  • Summation of Series and Cauchy Residue Theorem URL
  • The argument of complex number URL
  • Lecture Notes 15 (Must Read) URL
  • Lecture Notes 16 (Must Read) URL
  • SC 107 Tutorial 9 File
  • SC 107 Tutorial 10 File
  • Lecture Notes 17 (Must Read) URL
  • Lecture Notes 18 (Must Read) URL
  • George F Simmons: Differentials Equations With Applications And Historical Notes Book URL
  • G Stephenson: Partial Differential Equations for Scientists and Engineers Book URL
  • SC 107 Tutorial 8 Solutions File
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  9 October - 15 October

  • Second Insem Test

    09 Oct 2017 to 12 Oct 2017

    Calculus: 9 October 2017 (14:00 hrs to 16:00 hrs)

  • Test Sample 1 File
  • Test Sample 2 File
  • Test Sample 3 File
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  16 October - 22 October

  • Diwali Assginment Sample Folder
  • Diwali assignment 2017 Instructions Page
  • Calculus Project Vedios 2016 URL
  • Math mystery mathematics in nature and universe URL
  • Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing Book URL
  • The Raspberry Pi URL
  • Fractals The Hidden Dimension Video URL
  • Book: Everyday Calculus - Discovering the Hidden Math All around Us URL
  • Book: The Cartoon Guide to Calculus URL
  • American Mathematical Society URL
  • Mathoverflow URL
  • Quora: Calculus URL
  • Latex Wikibook URL
  • What is Latex ? URL
  • You may use sharelatex.com Online Latex Editor URL
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  23 October - 29 October

  • Lecture Notes 19 (Must Read) URL
  • Lecture Notes 21 (Must Read) URL
  • Lecture Notes 20 and 22 (Must Read) URL
  • Lecture Notes 23 (Must Read) URL
  • Problem set on differential equations File
  • Problem set 1 on partial differential equations File
  • Problem set 2 on partial differential equations File
  • G. H. Hardy, Orders of Infinity (Book) URL
  • Schaum's Outline of Vector Analysis (Book for Vector Calculus) URL
  • SC107 Tutorial 11 File
  • SC 107 Tutorial 11 Solutions File
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  30 October - 5 November

  • SC107 Tutorial 12 File
  • SC 107 Tutorial 12 Solutions File
  • Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems (Book) URL
  • Schaum's Outline of Laplace Transforms (Book) URL
  • Schaum's Outline of Advanced Mathematics for Engineers and Scientists (Book) URL
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  6 November - 12 November

  • SC107 Tutorial 13 File
  • SC 107 Tutorial 13 Solutions File
  • SC107 (Calculus) Autumn 2016 Project list Page
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  13 November - 19 November

  • Upload Deepwali Assignment (November 15, 2017)
  • Submit the link of wiki page and YouTube video for the project in this form. (Deadline 15 Nov 2017) URL
  • Course Evaluation

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  20 November - 26 November
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  27 November - 3 December

  • End Sem Exam ( 27 Nov 2017 to 04 Dec 2017)

  • Sample Test 1 File
  • Sample Test 2 File
  • Sample Test 3 File
  • Sample Test 4 File 83.2KB PDF document
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  4 December - 10 December