Complete list of resources for discrete mathematics and engineering maths


#1

Engg. Mathematics is considered a very important subject and a basic of Computer Science Engineering that every cse student should be good at.
To prepare this subject, here are the best topic wise resources.

Calculus:

  1. Ravindra Babu Ravula: https://www.youtube.com/playlist?list=PLEbnTDJUr_IdMBOVV4qT_SUBvRYBfm7-K
  2. http://mathforum.org/library/drmath/view/53660.html
    This is a link to short notes on different indeterminate forms.
  3. https://www.whitman.edu/mathematics/calculus/calculus_08_Techniques_of_Integration.pdf
    It is a pdf that describe methods of integration.
  4. MIT Open courseware:
    https://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/
    It is a series of 39 lectures that are taught by teachers of MIT, USA and will cover whole calculus.
  5. https://superprofs.com/blog/gate/computer-science-reference-books/
    It is a link that tells the best books you need to crack gate for each subject.
  6. Geek for geeks:
    https://www.geeksforgeeks.org/mathematics-limits-continuity-differentiability/
  7. Basic Calculus NPTEL: https://www.youtube.com/playlist?list=PLzJaFd3A7DZuyLLbmVpb9e9VLf3Q9cYBL
  8. https://www.gatexplore.com/download.php#https://drive.google.com/open?id=0B-lVpY6h9rYKRE9pZzNIQlh5bFU
    It is a link to download handwritten notes of calculus.

Linear Algebra

  1. Ravindra Babu Ravula: https://www.youtube.com/playlist?list=PLEbnTDJUr_IdiveZ4bvOc1Oh2zEp7J8z6
  2. http://gatecse.in/w/images/6/6c/GATE_2015.pdf
    It is a link to notes for the entire syllabus of Gate.
  3. MIT OCW:
    https://www.youtube.com/playlist?list=PL49CF3715CB9EF31D
  4. https://www.youtube.com/channel/UC8FmKkoVFU20P6WnykizlUg/videos
    It is a series of video lectures that you must see to clearly understand the concepts involved.
  5. https://superprofs.com/blog/gate/computer-science-reference-books/
    It is a link that tells all the best books for GATE CSE.
  6. Geek for Geeks:
    http://quiz.geeksforgeeks.org/matrix-introduction/
  7. http://joshua.smcvt.edu/linearalgebra/book.pdf
    It is a link to download a 507 pages book written by Jim Hefferon.
  8. NPTEL:
    Mathematics - Linear Algebra: https://www.youtube.com/playlist?list=PLbMVogVj5nJQ2vsW_hmyvVfO4GYWaaPp7
    Mathematics - Advanced Matrix Theory and Linear Algebra for Engineers: https://www.youtube.com/playlist?list=PL05CD03A43A56AE66

Discreet Mathematics:

  1. https://www.youtube.com/playlist?list=PLBlnK6fEyqRhqJPDXcvYlLfXPh37L89g3
    It is one of the best series of video lectures. Channel name is Neso Academy.
  2. NPTEL:
    https://www.youtube.com/playlist?list=PL0862D1A947252D20
    https://www.youtube.com/playlist?list=PL612CE2AB6F38DF9A
  3. Geek for geeks:
    https://www.geeksforgeeks.org/mathematics-representation-boolean-functions/
  4. MIT OCW:
    https://www.youtube.com/view_play_list?p=0862D1A947252D20
    http://ocw.mit.edu/high-school/mathematics/combinatorics-the-fine-art-of-counting/lecture-notes/
  5. Schaum’s book:
    http://alas.matf.bg.ac.rs/~mi10164/Materijali/DS.pdf
  6. First Order Logics:
    https://www.math.uwaterloo.ca/~snburris/htdocs/FALL00/SLIDES/chap5.pdf
  7. https://www.youtube.com/playlist?list=PLsFENPUZBqioyqffh3YZ2pKUg4uZFQJUY
  8. https://superprofs.com/blog/gate/computer-science-reference-books/
    It is a link that tells the best books required to prepare for gate.

Combinatorics

  1. http://www.cse.iitm.ac.in/~theory/tcslab/mfcs98page/mfcshtml/notes1/thperset.html
    These are written tutorials for counting.
  2. http://www.saylor.org/site/wp-content/uploads/2012/06/MA111_Wikipedia_Inclusion-Exclusion-Principle_6.8.2012.pdf
    It is a link to download a 8 page pdf to understand inclusion and exclusion principle.
  3. https://www.unf.edu/~cwinton/html/cop4300/s09/class.notes/Distributions1.pdf
    It is a link to download a 7 page pdf to understand distributions in probability.
  4. http://www.stat.yale.edu/Courses/1997-98/101/binom.htm
    Link to understand binomial distribution
  5. MIT OCW:
    https://www.youtube.com/playlist?list=PLvjECquwN5_Emuhi-ISxBOk82-zp-6lTf
  6. Geeks for geeks:
    http://quiz.geeksforgeeks.org/random-variable/
    https://www.geeksforgeeks.org/probability-gq/
  7. https://math.dartmouth.edu//~prob/prob/prob.pdf
    It is a book written on probability.
  8. http://uhavax.hartford.edu/bugl/Prob-Reference.pdf
    These are the notes that can be used as reference to formulaes and concepts in probability.

#2