Mathematics & Statistics

Indian Institute of Technology Kanpur

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The following courses are required for a minor in Statistics and Data Science.

  1. MSO 205 (Introduction to Probability theory) or MSO 201 (Probability and Statistics) or HSO 201 (Applied probability and statistics) or CS 203 (Mathematics for Computer Science - III)
  2. MTH 211 (Theory of Statistics)
  3. MTH 208 (Data Science Lab 1)
  4. MTH 441 (Linear regression and ANOVA)
I Semester II Semester
IC: MTH 101A
Mathematics I
3-1-0-0 11 IC: MTH 102A
Mathematics II
3-1-0-0 11
IC: PHY 103A
Physics II
3-1-0-0 11 IC: PHY 102A
Physics I
3-1-0-0 11
IC: CHM 101A
Chemistry Laboratory
0-0-3-0 03 IC: PHY 101A
Physics Laboratory
0-0-3-0 03
IC: ESC 101A
Fundamental of Computing
3-1-3-0 14 IC: LIF 101A
Introduction to Biology
2-0-0-0 06
HSS: ENG 112A/HSS-1 (Level-1) 3-1-0-0 11 IC: CHM 102A
General Chemistry
2-1-0-0 08
IC:PE 101A
Morning Exercise
0-0-3-0 03 IC: PE 102A
Evening Exercise
0-0-3-0 03
      IC: TA 101A
Engineering Graphics
2-0-3-0 09
  Total 53   Total 51
III Semester IV Semester
DC: MTH 301A
Analysis I
3-1-0-0 11 DC: MTH 211A
Theory of Statistics
3-1-0-0 11
ESO/SO-1: MSO 205A
Introduction to Probability Theory
3-1-0-0 11 DC: MTH 210A
Statistical Computing
3-0-1-0 10
ESO/SO-2: MSO 202A
Introduction to Complex Analysis
(Modular I)
3-1-0-0 06 DC: MTH 212A Elementary Stochastic Processes I
(Modular I)
3-1-0-0 06
DC: MTH 207A
Matrix Theory and Linear Estimation (Modular II)
3-1-0-0 06 DC: MTH 209A
Data Science Lab 2
1-0-2-0 05
DC: MTH 208A
Data Science Lab 1
0-0-3-2 05 HSS: HSS-2 (Level-1) 3-1-0-0 11
IC: ESC 201A
Introduction to Electronics
3-1-3-0 14 IC: TA 202A
Manufacturing Process II
1-0-3-0 06
IC: TA 201A
Manufacturing Process I
1-0-3-0 06 ESO/SO-3: 3-0-0-0 09
  Total 59   Total 58
V Semester VI Semester
DC: MTH 442A
Time Series Analysis
3-0-1-0 10 DC: MTH 422A
Bayesian Analysis
3-0-1-0 10
DC: MTH 441A
Linear Regression and ANOVA
3-0-1-0 10 DC: MTH 314A
Multivariate Analysis
3-0-1-0 10
DC: MTH 399A
Communication Skills
0-0-2-0 02 DC: MTH 312A
Data Science Lab 3
1-0-2-0 05
ESO/SO-4: ESO 207A
Data Structures and Algorithms
3-0-3-0 12 ESO/SO-5: 3-0-0-0 09
IC: Com 200
Communication Skills: Composition
1-1-0-0 05 HSS: HSS-4 (Level-2) 3-0-0-0 09
HSS: HSS-3 (Level-2) 3-0-0-0 09 OE-2/UGP - 2 0-0-9-0 09
OE-1: 3-0-0-0 09      
UGP -1 (Extra Credit) 0-0-4-0 04      
  Total 57/61   Total 52
VII Semester VIII Semester
DC: MTH 443A
Statistical and AI Techniques in Data Mining
3-0-1-0 10 DE – 3   09
DE - 1   09 DE – 4   09
DE - 2   09 OE – 6   09
OE – 3/UGP-3   09 OE – 7   09
OE – 4   09 HSS: HSS-5 (Level-2)   09
OE - 5   09 UGP4 (Extra Credit)   09
  Total 55   Total 45/54

Minimum credit requirement for graduation

Bracket Credits Percentage
Institute Core (IC) 124 28.8
Department Compulsory (DC) 111 25.8
Department Elective (DE) 36 8.4
Open elective / UGP (OE / UGP) 63 14.7
ESO/SO 47 10.9
HSS 49 11.4
Total 430  

**Up to 45 credits of internships in lieu of open electives can be taken. This can be done through the courses MTH321 Internship I, MTH322 Internship II, MTH323 Internship III, MTH324 Internship IV, MTH325 Internship V, of 9 credits each. One would have an option to earn 45 credits of OE through internship courses by spending a full semester in an industry or may do online internships (under one or more OEs) from industry, spread across different semesters. The process for enrolling in the internship courses is as follows: the student identifies a viable internship opportunity in the general realm of statistics and data science and identifies a supervisor in the MTH department. The student, in consultation with the host industry/organization, submits a proposal to the department undergraduate committee (DUGC) with the approval of the industry liaison and the departmental supervisor, upon which it will be evaluated for approval and requisite number of credits (in multiples of 9) will be decided. The grading scheme for the internship courses will be S/X.

Semester 3 Semester 4 Semester 5 Semester 6 Semester 7 Semester 8
SCHEME-2 HSS-I (9-11) SCHEME-3 EME (9-11) MTH 442 (10) SCHEME-4 HSS-II (9) SCHEME-5
HSS-II (9)
SCHEME-6
HSS-II (9)
ESC201 (14) MTH 211 (11) MTH 441 (10) MTH 422 (10) DE – 1 (09) DE – 4 (09)
MTH301 (11) MTH 210 (10) ESO/SO-3: ESO 207 (12) MTH 314 (10) DE – 2 (09) DE – 5 (09)
ESO/SO-1: MSO 205 (11) MTH 212M (1st half) (06) ESO/SO-4: MSO 202M (1st half) (06) MTH 312 (05) DE – 3 (09) OE-5 (09)
MTH 207M - (2nd half) (06) MTH 209 (05)   MTH 443 (10) OE – 3 (09) OE – 6 (09)
MTH 208 (05) ESO/SO-2 (09) OE-1 (09) OE-2 (09) OE – 4 (09)  
           
56-58 50-52 47 53 54 45

Note: UGPs are NOT mandatory. However, depending on the consent of supervisor(s), a student may take up to 3 UGPs of 09 credits each against DE/OE (UGP will be counted as OE if taken outside the department as consented by the DUGC) requirements. A student can also take a 4th UGP, that however will NOT be counted towards fulfilling the graduation requirements

List of Courses
Course No.: Title
MTH442 (3-0-1-0)[10] Time Series Analysis
MTH211 (3-1-0-0)[11] Theory of Statistics
MTH441 (3-0-1-0)[10] Linear Regression and ANOVA
MTH422 (3-0-1-0)[10] Introduction to Bayesian Analysis
MTH301 (3-1-0-0)[11] Analysis – I
MTH 210 (3-0-1-0)[10] Statistical Computing
ESO/SO-3: ESO 207 Data Structures and Algorithms
MTH 314 (3-0-1-0)[10] Multivariate Analysis
ESO/SO-1: MSO 205 (3-1-0-0)[11] Introduction to Probability Theory
MTH 212M (1st half) (3-1-0-0)[06] Elementary Stochastic Processes I
ESO/SO-4: MSO 202M (1st half) (3-1-0-0)[06] Complex Analysis
MTH 312 (1-0-2-0)[05] Data Science Lab 3
MTH 207M - (2nd half) (3-1-0-0)[06] Matrix Algebra and Linear Estimation
MTH 209 (1-0-2-0)[05] Data Science Lab 2
MTH 443 (3-0-1-0)[10] Statistical & AI Techniques in Data Mining
MTH 208 (0-0-3-2)[05] Data Science Lab 1

Note: The department recommends PHY104 & PHY105 for the SDS students.

Note: (As per the Senate approved program) Up to 45 credits of internships in lieu of open electives can be taken. This can be done through the courses MTH321A Internship I, MTH322A Internship II, MTH323A Internship III, MTH324A Internship IV, MTH325A Internship V, of 9 credits each. One would have an option to earn 45 credits of OE through internship courses by spending a full semester in an industry or may do online internships (under one or more OEs) from industry, spread across different semesters. The process for enrolling in the internship courses is as follows: the student identifies a viable internship opportunity in the general realm of statistics and data science and identifies a supervisor in the MTH department. The student, in consultation with the host industry/organization submits a proposal to the Department Undergraduate Committee (DUGC) with the approval of the industry liaison and the departmental supervisor, upon which it will be evaluated for approval and requisite number of credits (in multiples of 9) will be decided. The grading scheme for the internship courses will be S/X.

Note: Guidelines for internships are available in this page.

Credit table for BS program in Statistics and Data Science
Course type Credits in the department template
Institute Core (IC) 112
E/SO 38
Department requirements 154 (109 DC + 45 DE)
Open electives (OE) 54
SCHEME 54-58
Total for 4-year BT/BS 412-416
BS-MS PG (Part – Category A) (from the same department)
COURSES
IX Semester X Semester
MS Project – (PGP 1, PGP 2) 6-0-0-0 18 MS Project – (PGP 3, PGP 4) 6-0-0-0 18
DE PG - I 3-0-0-0 09 DE PG-II 3-0-0-0 09
OE PG - I 3-0-0-0 09 OE PG-III 3-0-0-0 09
OE PG - II 3-0-0-0 09 OE PG - IV 3-0-0-0 09
Total   45     45

Minimum credit requirement in MS part for graduation

Bracket Credits
PG Component 90
Total 90

Note: A maximum of 36 OE credits may be waived from the department under graduation requirement to be used for the PG requirement of dual degree students.

BS-MS PG (Part – Category B) (from other departments)
UG Pre-Requisites
Odd Semester     Even Semester    
MTH 301A 3-1-0-0 11 MTH 211A 3-1-0-0 11
      MTH 210A 3-0-1-0 10
MTH 207A 3-1-0-0 06 MTH 212A 3-1-0-0 06
MTH 442A 3-0-1-0 10 MTH 422A 3-0-1-0 10
MTH 441A 3-0-1-0 10 MTH 314A 3-0-1-0 10
MTH 443A 3-0-1-0 10 MTH 209A 1-0-2-0 05
MTH 208A 0-0-3-2 05 MTH 312A 1-0-2-0 05
           
Total   52     57
PG Requirement
Odd Semester     Even Semester    
MS Project – (PGP 1, PGP 2) 6-0-0-0 18 MS Project – (PGP 3, PGP 4) 6-0-0-0 18
DE PG - I 3-0-0-0 09 DE PG-II 3-0-0-0 09
OE PG - I 3-0-0-0 09 OE PG-III 3-0-0-0 09
OE PG - II 3-0-0-0 09 OE PG - IV 3-0-0-0 09
Total   45     45

Note: A maximum of 36 OE credits may be waived from the parent department graduation requirement to be used for the PG requirement of dual degree students.

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