Mathematical Science (MSCI)
Department of Mathematics and Statistics, College of Engineering and Physical Sciences
B.A. Major Requirements (Honours)
This is a major within the degree: Bachelor of Arts.
Knowledge of Mathematics and Statistics is crucial for understanding our world. This unique program provides a core of both mathematics and statistics with a choice of a Mathematics stream or a Statistics stream. This major also requires the completion of an area of emphasis as listed. Students are encouraged to speak with a Program Counsellor when choosing courses for the selected stream and area of emphasis.
Students may enter this major in Semester 1 or any semester thereafter. A student wishing to declare the major must consult the Faculty Advisor. A total of 20.00 credits is required to complete the Major which includes at least 10.00 credits in Mathematics & Statistics, 0.50 credits in Computing and Information Science, and an additional 2.50 credits in an area of emphasis. Of the total credits required, students are required to complete 2.00 Mathematics and/or Statistics credits at the 4000 level and an additional 3.00 Mathematics and/or Statistics credits must be at the 3000 or 4000 level.
Recommended Program Sequence
| Code | Title | Credits |
|---|---|---|
| Semester 1 | ||
| MATH*1160 | Linear Algebra I | 0.50 |
| MATH*1200 | Calculus I 1 | 0.50 |
| 1.50 credits selected from the College of Arts and the College of Social and Applied Human Sciences 2 | 1.50 | |
| Semester 2 | ||
| MATH*1210 | Calculus II 3 | 0.50 |
| STAT*2040 | Statistics I | 0.50 |
| 1.50 electives 4 | 1.50 | |
| Semester 3 | ||
| CIS*1300 | Programming 5 | 0.50 |
| or CIS*1500 | Introduction to Programming | |
| MATH*2200 | Advanced Calculus I | 0.50 |
| STAT*3100 | Introductory Mathematical Statistics I | 0.50 |
| 1.00 electives or restricted electives | 1.00 | |
| Semester 4 | ||
| MATH*2130 | Numerical Methods | 0.50 |
| STAT*2050 | Statistics II | 0.50 |
| 1.50 electives or restricted electives 6 | 1.50 | |
| Semester 5 | ||
| 2.50 electives or restricted electives | 2.50 | |
| Semester 6 | ||
| 2.50 electives or restricted electives | 2.50 | |
| Semester 7 | ||
| 2.50 electives or restricted electives | 2.50 | |
| Semester 8 | ||
| MATH*4440 | Case Studies in Mathematics and Statistics | 0.50 |
| 2.00 electives or restricted electives | 2.00 | |
- 1
MATH*1080 Elements of Calculus I or IPS*1500 Integrated Mathematics and Physics I can be taken in place of MATH*1200 Calculus I
- 2
These courses should be chosen from the list of Semester 1 requirements as listed in the Program Regulations for the BA.
- 3
MATH*1090 Elements of Calculus II or IPS*1510 Integrated Mathematics and Physics II can be taken in place of MATH*1210 Calculus II
- 4
Students are reminded that they must meet the BA distribution requirements of 1.50 credits in the humanities and 1.50 credits in the social sciences. PHIL*2110 Formal Logic is recommended.
- 5
Students wishing to pursue the Computer Science Area of Emphasis must take CIS*1300 Programming.
- 6
CIS*2500 Intermediate Programming is recommended
Students are required to complete 5.50 credits from either the Mathematics Stream or the Statistics Stream as follows:
Mathematics Stream
| Code | Title | Credits |
|---|---|---|
| MATH*2000 | Proofs, Sets, and Numbers | 0.50 |
| MATH*2210 | Advanced Calculus II | 0.50 |
| MATH*2270 | Applied Differential Equations | 0.50 |
| MATH*3160 | Linear Algebra II | 0.50 |
| MATH*3200 | Real Analysis | 0.50 |
| 3.00 additional credits in MATH or STAT at 3000 level or above of which at least 1.50 credits must be MATH at the 4000 level | 3.00 | |
Statistics Stream
| Code | Title | Credits |
|---|---|---|
| STAT*3110 | Introductory Mathematical Statistics II | 0.50 |
| STAT*3240 | Applied Regression Analysis | 0.50 |
| 0.50 additional credits in MATH at 2000 level or above | 0.50 | |
| 1.00 additional credits in MATH or STAT at 2000 level or above | 1.00 | |
| 3.00 additional credits in MATH or STAT at 3000 level or above of which at least 1.50 credits must be STAT at the 4000 level | 3.00 | |
Areas of Emphasis
Students are required to complete 2.50 credits from one of the following Areas of Emphasis:
Each Area of Emphasis is 2.50 credits from a single field of study.
Computer Science (CS)*
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| CIS*2430 | Object Oriented Programming | 0.50 |
| CIS*2500 | Intermediate Programming | 0.50 |
| CIS*2520 | Data Structures | 0.50 |
| Select at least 1.00 credits from the following: | ||
| CIS*3110 | Operating Systems I | 0.50 |
| CIS*3190 | Software for Legacy Systems | 0.50 |
| CIS*3490 | The Analysis and Design of Computer Algorithms | 0.50 |
| CIS*3530 | Data Base Systems and Concepts | 0.50 |
- *
Students are reminded that they must meet the BA requirement that at least 7.00 credits must be at the 3000 level of above.
Note: CIS*2750 Software Systems Development and Integration is recommended in addition to the Area of Emphasis requirements for students interested in Computer Science
Economics (ECON)*
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| ECON*1050 | Introductory Microeconomics | 0.50 |
| ECON*1100 | Introductory Macroeconomics | 0.50 |
| ECON*2310 | Intermediate Microeconomics | 0.50 |
| Select at least 1.00 credits from the following: | ||
| ECON*3100 | Game Theory | 0.50 |
| ECON*3710 | Advanced Microeconomics | 0.50 |
| ECON*4710 | Advanced Topics in Microeconomics | 0.50 |
- *
Students are reminded that they must meet the BA requirement that at least 7.00 credits must be at the 3000 level of above.
Individualized (IND)*
It is required that 2.50 credits are taken from humanities and social science electives where 1.00 credits must be at the 3000 level or above.
Students declaring an Individualized Area of Emphasis must have their choice of 2.50 credits approved by an academic advisor.
- *
Students are reminded that they must meet the BA requirement that at least 7.00 credits must be at the 3000 level of above.
B.Sc. Major Requirements (Honours)
This is a major within the degree: Bachelor of Science.
Knowledge of Mathematics and Statistics is crucial for understanding our world. This unique program provides a core of both mathematics and statistics with a choice of a Mathematics stream or a Statistics stream. This major also requires the completion of an area of emphasis as listed. Students are encouraged to speak with a Program Counsellor when choosing courses for the selected stream and area of emphasis.
Students may enter this major in Semester 1 or any semester thereafter. A student wishing to declare the major may wish to consult the Faculty Advisor. A total of 20.00 credits is required to complete the Major which includes at least 10.00 credits in Mathematics & Statistics, 0.50 credits in Computing and Information Science, and an additional 2.50 credits in an area of emphasis.
Recommended Program Sequence
Students lacking Grade 12 or 4U Biology, Chemistry or Physics should follow the revised schedule of study for this major found at: https://www.uoguelph.ca/bsc/revised_SS/.
| Code | Title | Credits |
|---|---|---|
| Semester 1 | ||
| CHEM*1040 | General Chemistry I | 0.50 |
| MATH*1160 | Linear Algebra I | 0.50 |
| Select 0.50 credits from the following: 1 | ||
| BIOL*1070 | Discovering Biodiversity | 0.50 |
| BIOL*1080 | Biological Concepts of Health | 0.50 |
| BIOL*1090 | Introduction to Molecular and Cellular Biology | 0.50 |
| Select 1.00 credits from the following: 2 | ||
| IPS*1500 | Integrated Mathematics and Physics I | 1.00 |
| MATH*1080 & PHYS*1080 | Elements of Calculus I and Physics for Life Sciences | 1.00 |
| MATH*1200 & PHYS*1080 | Calculus I and Physics for Life Sciences | 1.00 |
| Semester 2 | ||
| CHEM*1050 | General Chemistry II | 0.50 |
| STAT*2040 | Statistics I | 0.50 |
| Select 0.50 credits from the following: 1 | ||
| BIOL*1070 | Discovering Biodiversity | 0.50 |
| BIOL*1080 | Biological Concepts of Health | 0.50 |
| BIOL*1090 | Introduction to Molecular and Cellular Biology | 0.50 |
| Select 1.00 credits from the following: 3 | ||
| IPS*1510 | Integrated Mathematics and Physics II | 1.00 |
| MATH*1090 & PHYS*1010 | Elements of Calculus II and Introductory Electricity and Magnetism | 1.00 |
| MATH*1210 & PHYS*1010 | Calculus II and Introductory Electricity and Magnetism | 1.00 |
| Semester 3 | ||
| CIS*1300 | Programming 4 | 0.50 |
| or CIS*1500 | Introduction to Programming | |
| MATH*2200 | Advanced Calculus I | 0.50 |
| STAT*3100 | Introductory Mathematical Statistics I | 0.50 |
| 1.00 electives or restricted electives | 1.00 | |
| Semester 4 | ||
| MATH*2130 | Numerical Methods | 0.50 |
| STAT*2050 | Statistics II | 0.50 |
| 1.50 electives or restricted electives | 1.50 | |
| Semester 5 | ||
| 2.50 electives or restricted electives | 2.50 | |
| Semester 6 | ||
| 2.50 electives or restricted electives | 2.50 | |
| Semester 7 | ||
| 2.50 electives or restricted electives | 2.50 | |
| Semester 8 | ||
| MATH*4440 | Case Studies in Mathematics and Statistics | 0.50 |
| 2.00 electives or restricted electives | 2.00 | |
- 1
BIOL*1070 Discovering Biodiversity and BIOL*1090 Introduction to Molecular and Cellular Biology are recommended if taking either the BINF or the BBM Area of Emphasis
- 2
Students entering the major in first year are strongly advised to take IPS*1500 Integrated Mathematics and Physics I or (MATH*1200 Calculus I, PHYS*1080 Physics for Life Sciences). Students declaring the Energy and Mass Transfer, the Electricity and Systems, or the Signal Processing Area of Emphasis should take (MATH*1200 Calculus I, PHYS*1080 Physics for Life Sciences)
- 3
Students entering the major in first year are strongly advised to take IPS*1510 Integrated Mathematics and Physics II or (MATH*1210 Calculus II, PHYS*1010 Introductory Electricity and Magnetism). Students declaring the Energy and Mass Transfer, the Electricity and Systems, or the Signal Processing Area of Emphasis should take (MATH*1210 Calculus II, PHYS*1010 Introductory Electricity and Magnetism).
- 4
Students wishing to pursue the Computer Science Area of Emphasis must take CIS*1300 Programming.
Restricted Electives
- A minimum of 1.00 credits of Liberal Education electives is required. The list of Liberal Education electives for B.Sc. students can be found at: https://www.uoguelph.ca/bsc/
- 5.50 credits from either the Mathematics Stream or the Statistics Stream as follows:
- 2.50 credits from an Area of Emphasis
Mathematics Stream
| Code | Title | Credits |
|---|---|---|
| MATH*2000 | Proofs, Sets, and Numbers | 0.50 |
| MATH*2210 | Advanced Calculus II | 0.50 |
| MATH*2270 | Applied Differential Equations | 0.50 |
| MATH*3160 | Linear Algebra II | 0.50 |
| MATH*3200 | Real Analysis | 0.50 |
| 3.00 additional credits in MATH or STAT at the 3000 level or above of which at least 1.50 credits must be MATH at the 4000 level | 3.00 | |
Statistics and Data Science Stream
| Code | Title | Credits |
|---|---|---|
| STAT*3110 | Introductory Mathematical Statistics II | 0.50 |
| STAT*3240 | Applied Regression Analysis | 0.50 |
| 0.50 additional credits in MATH at 2000 level or above | 0.50 | |
| 1.00 additional credits in MATH or STAT at the 2000 level or above | 1.00 | |
| 3.00 additional credits in MATH or STAT at the 3000 level or above of which at least 1.50 credits must be STAT at the 4000 level | 3.00 | |
Areas of Emphasis
Students are required to complete one of the following Areas of Emphasis. Each Area of Emphasis is 2.50 credits from a single field of study.
Bioinformatics (BINF)
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| BIOL*2400 | Evolution | 0.50 |
| BIOL*3020 | Population Genetics | 0.50 |
| BIOL*3040 | Methods in Evolutionary Biology | 0.50 |
| BIOL*3300 | Applied Bioinformatics | 0.50 |
| MBG*2040 | Foundations in Molecular Biology and Genetics | 0.50 |
Biomathematical or Biostatistical Modelling (BBM)
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| BIOL*2060 | Ecology | 0.50 |
| BIOL*2400 | Evolution | 0.50 |
| BIOL*3060 | Populations, Communities and Ecosystems | 0.50 |
| BIOL*3130 | Conservation Biology | 0.50 |
| BIOL*4150 | Wildlife Conservation and Management | 0.50 |
Computer Science (CS)
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| CIS*2430 | Object Oriented Programming | 0.50 |
| CIS*2500 | Intermediate Programming | 0.50 |
| CIS*2520 | Data Structures | 0.50 |
| Select at least 1.00 credits from the following: | ||
| CIS*3110 | Operating Systems I | 0.50 |
| CIS*3190 | Software for Legacy Systems | 0.50 |
| CIS*3490 | The Analysis and Design of Computer Algorithms | 0.50 |
| CIS*3530 | Data Base Systems and Concepts | 0.50 |
Note: CIS*2750 Software Systems Development and Integration is recommended in addition to the Area of Emphasis requirements for students interested in Computer Science
Economics (ECON)
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| ECON*1050 | Introductory Microeconomics | 0.50 |
| ECON*1100 | Introductory Macroeconomics | 0.50 |
| ECON*2310 | Intermediate Microeconomics | 0.50 |
| Select at least 1.00 credits from the following: | ||
| ECON*3100 | Game Theory | 0.50 |
| ECON*3710 | Advanced Microeconomics | 0.50 |
| ECON*4710 | Advanced Topics in Microeconomics | 0.50 |
Note: ECON*1050 Introductory Microeconomics and ECON*1100 Introductory Macroeconomics are approved Liberal Education electives for B.Sc. students
Energy and Mass Transfer (EMT)
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| ENGG*1210 | Engineering Mechanics I | 0.50 |
| ENGG*2230 | Fluid Mechanics | 0.50 |
| ENGG*2400 | Engineering Systems Analysis | 0.50 |
| ENGG*3260 | Thermodynamics | 0.50 |
| ENGG*3430 | Heat and Mass Transfer | 0.50 |
Note: No more than 3.00 credits in ENGG courses may be taken.
Electricity and Systems (EAS)
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| ENGG*1210 | Engineering Mechanics I | 0.50 |
| ENGG*2400 | Engineering Systems Analysis | 0.50 |
| ENGG*2450 | Electric Circuits | 0.50 |
| Select at least 1.00 credits from the following: | ||
| ENGG*3410 | Systems and Control Theory | 0.50 |
| ENGG*3450 | Electronic Devices | 0.50 |
| ENGG*4460 | Robotic Systems | 0.50 |
Note: No more than 3.00 credits in ENGG courses may be taken.
Signal Processing (SP)
The following credits must be taken:
| Code | Title | Credits |
|---|---|---|
| ENGG*1210 | Engineering Mechanics I | 0.50 |
| ENGG*2400 | Engineering Systems Analysis | 0.50 |
| ENGG*2450 | Electric Circuits | 0.50 |
| ENGG*3390 | Signal Processing | 0.50 |
| ENGG*4660 | Medical Image Processing | 0.50 |
Note: No more than 3.00 credits in ENGG courses may be taken.
Individualized (IN)
It is required that 2.50 credits are taken from approved Science electives for B.Sc. students where 1.00 credits must be at the 3000 level or above. Students declaring an Individualized Area of Emphasis must have their choice of 2.50 credits approved by an academic advisor.
Credit Summary
(20.00 Total Credits)
| Code | Title | Credits |
|---|---|---|
| First year science credits | 5.00 | |
| Required science courses semesters 3 – 8 | 3.00 | |
| Restricted electives (Stream and Area of Emphasis) | 8.00 | |
| Liberal Education electives (# 1 in restricted elective list) | 1.00 | |
| Free electives - any approved elective for B.Sc. students 5 | 3.00 | |
| Total Credits | 20 | |
- 5
Could be less if restricted electives do not count as science
Of the total credits required, students are required to complete 16.00 credits in science of which 2.00 credits must be at the 4000 level and an additional 4.00 credits must be at the 3000 or 4000 level.
Minor Requirements (Honours)
This minor cannot be combined with a major or minor in Mathematics, Statistics, or Mathematical Science.
This minor is not open to students registered in the degree: Bachelor of Computing.
A total of 5.00 credits is required to complete the Minor, including:
| Code | Title | Credits |
|---|---|---|
| CIS*1300 | Programming 1 | 0.50 |
| or CIS*1500 | Introduction to Programming | |
| MATH*1200 | Calculus I 2 | 0.50 |
| or MATH*1080 | Elements of Calculus I | |
| MATH*1210 | Calculus II 2 | 0.50 |
| or MATH*1090 | Elements of Calculus II | |
| MATH*1160 | Linear Algebra I | 0.50 |
| STAT*2040 | Statistics I | 0.50 |
| 1.50 additional credits in MATH, STAT, or CIS at the 2000 level or above 3 | 1.50 | |
| 1.00 additional credits in MATH, STAT, or CIS at the 3000 level or above | 1.00 | |
- 1
CIS*1300 is recommended for those wishing to take further CIS courses.
- 2
IPS*1500 Integrated Mathematics and Physics I can count toward this 0.50 credit.
- 3
CIS*2050 cannot be counted towards these credits.