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Amrik Sen, PhD (Applied Mathematics, University of Colorado, Boulder, USA)
Engineering Mathematics In Action
(course code: FM 103)
Course instructors:
Amrik Sen
Course TAs:
Rajat Singla, Vijay Sahani,
Sandeep Kumar
Emails:
amrik.sen@plaksha.edu.in,
rajat.singla@plaksha.edu.in,
vijay.sahani@plaksha.edu.in,
sandeep.kumar@plaksha.edu.in
Office hours
Amrik Sen (Mon & Wed - 12:00 to 13:00 hrs)
Rajat Singla (Fri - 14:00 to 15:00 hrs)
Vijay Sahani (Th - 14:00 to 15:00 hrs)
Syllabus and manuals
Course Brochure (here)
Python Tutorial (here)
Matlab tutorial (here)
Lecture notes and slides
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Set 1
Lecture 1.1:
05/09/23 (Amrik's lectures-1.1 & 1.2: here)
Recording of lecture-1.1 (here)
Lecture 1.2:
12/09/23
Recording of lecture-1.2 (here)
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Set 2
Lecture 2.1:
14/09/23 (Amrik's lecture-2.1: here)
Recording of lecture-2.1 (here)
Lecture 2.1:
08/09/22 (Saikat's lecture-2.1: here)
Lecture 2.2:
19/09/23 (Amrik's lecture-2.2: here)
Recording of lecture-2.2 (here)
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Set 3
Lecture 3.1:
21/09/22 (Amrik's lecture-3.1:
part-1 here, part-2 here)
Supplementary material:
(subspaces: col(A') ⟂ Null(A) - link here)
Lecture 3.2:
26/09/23 (Amrik's lecture-3.2: here)
Recording of lecture-3.2 (here)
Lecture 3.3:
28/09/23 (Amrik's lecture-3.3: here)
Recording of lecture-3.3 (here)
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Set 4
Lecture 4.1:
03/10/23 (Amrik's lecture-4.1: here)
Recording of lecture-4.1 (here)
Lecture 4.2:
05/10/23 (Amrik's lecture-4.2: here)
Recording of lecture-4.2 (here)
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MID-TERM EXAMINATION
Mid-term question paper: here
Solutions to mid-term paper: here
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Set 5
Lecture 5.1:
17/10/23 (Amrik's lecture-5.1: here)
Recording of lecture-5.1 (here)
Lecture 5.2:
19/10/23 (Amrik's lecture-5.2: here)
Recording of lecture-5.2 (here)
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Set 6
Lecture 6.1:
26/10/23 (Amrik's lecture-6.1: here)
Recording of lecture-6.1 (here)
Lecture 6.2:
31/10/23 (Amrik's lecture-6.2: here)
Recording of lecture-6.2 (here)
Lecture 6.3:
02/11/23 (Amrik's lecture-6.3: here)
Recording of lecture-6.3 (here)
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QUIZ-1
Quiz-1 question paper: set-1, set-2
Solutions to quiz-1 paper: ans-set-1, ans-set-2
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Lecture 6.4:
07/11/23 (Amrik's lecture-6.4: here)
Recording of lecture-6.4 (here)
Lecture 6.5:
09/11/23 (Google Page Rank algo: code)
Recording of lecture-6.5 (here)
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Andy's calculus review (here)
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Set 7
Andy's Lectures 7.1 and 7.2 (here)
Lecture 7.3:
23/11/23 (Amrik's lecture-7.3: here)
Recording of lecture-7.3 (here)
Lecture 7.4:
28/11/23 (Amrik's lecture-7.4: here)
Recording of lecture-7.4 (here)
Lecture 7.5:
30/11/23 (Amrik's lecture-7.5: here)
Recording of lecture-7.5 (here)
Lecture (Revision):
05/12/23 (Slope field & phase portrait: here)
Recording of revision (here)
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QUIZ-2
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Quiz-2 question paper & solutions: set-L1, set-L2
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Lecture notes from previous semesters
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Lecture 5: 19/09/22 (Amrik's lecture L3.2: here)
Lecture 7: 22/09/22 (Amrik's lecture L4.1: here)
Lecture 8: 26/09/22 (Amrik's lecture L4.2: here)
Module 2
Lecture 1: 27/09/22 (Amrik's lecture L5.1: here)
Lecture 2: 29/09/22 (Amrik's lecture L5.2: here)
Lecture 3: 04/10/22 (Amrik's lecture L6.1: here)
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(Sanjay's lectures 1-2: here)
Lecture 4: 24/11/2021 (Amrik's lecture: here)
(Sanjay's lectures 1-4: here)
Lecture 5: 29/11/2021 (Amrik's lecture: here)
Lecture 6: 01/12/2021 (Amrik's lecture: here)
(Sanjay's lectures 1-6: here)
Lecture 7: 06/12/2021 (Amrik's lecture: here)
Lecture 8: 08/12/2021 (Amrik's lecture: here)
(Sanjay's lectures 1-8: here)
Module 2
Lectures 1-2: 13-15/12/2021 (Amrik's lecture: here)
(Sanjay's lectures 1-2: here)
Lecture 3: 22/12/2021 (Amrik's lecture: here)
Lecture 4: 03/01/2022 (Amrik's lecture: here)
Lecture 5: 05/01/2022 (Amrik's lecture: here)
(Sanjay's lectures 4-5: here)
Lecture 6: 10/01/2022 (Amrik's lecture: here)
Module 3
Lecture 1: 12/01/2022 (Amrik's lecture: here)
Matlab routine from lecture 1 on 12/01/2022: here
(Sanjay's lecture 1: here)
Lecture 2: 17/01/2022 (Amrik's lecture: here)
Matlab routine from lecture 2 on 17/01/2022: here
(Sanjay's lecture 2: here)
Lecture 3: 19/01/2022 (Amrik's lecture: here)
(Sanjay's lecture 3: here)
Lecture 4: 24/01/2022 (Amrik's lecture: here)
(Sanjay's lecture 4: here)
Lecture 5: 31/01/2022 (Amrik's lecture: here)
(Sanjay's lecture 5: here)
Lecture 6: 2/02/2022 (Amrik's lecture: here)
Semester projects
Project-1 (here)
Grading rubric (here)
Interview schedule week-1 (here)
Interview schedule week-2 (here)
Project-2 (here)
Grading rubric (here)
Interview schedule week-1 (here)
Interview schedule week-2 (here)
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Sample projects (from previous years)
Warm-up project-1 (here), posted on 22/9/2022
(report is due on Saturday, October 1 at 11:00 am on LMS,
interviews on October 6 and October 11 in class)
Warm-up project-1 interview schedule
section-1 (here)
section-2 (here)
Warm-up project-1 grading rubric (here)
Note: waited average of your printed answers and your
interview performance will be considered as your final score.
Project-1 (here), posted on 13/10/2022
(report is due on Saturday, October 29 at 11:00 am on LMS,
interviews on October 29 from 2:00-4:00 pm in classroom)
Project-1 grading rubric (here)
Project-1 interview schedule (here)
Worksheets & Practice Problems
Worksheet 1: (here); solutions (here)
Topics: L1.1, L1.2, L2.1
Worksheet 2: (here); solutions (here)
Topics: L2.2, L3.1
Worksheet 3: (here); solutions (here)
Topics: L3.2, L4.1
Worksheet 4: (here); solutions (here)
Topics: L5.1, L5.2
Worksheet 5: (here); solutions (here)
Topics: L6.1
Worksheet 6: (here)
Topics: revision of module 1 and module 2
Laboratory worksheets
Week-1 (here) Solution-1 (here)
Week-2 (here) Solution-2 (here)
Week-3 (here) Solution-3 (here)
Week-4 (here) Solution-4 (here)
Week-5 (here) Solution-5 (here)
Week-6 (here) Solution-6 (here)
Week-7 (here) Solution-7 (here)
Week-8 to 12: Mid-sem exam, project-1
Week-13: Code for Euler's method (rk1)
and dsolve (here)
Week-14: Code for rk2, rk4, ode45 (here)
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Previous semesters
END TERM EXAM study compendium: here.
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