Statistical Modeling

Lossless


Mathematics and Statistics
This section presents the requirements for programs in:  The following courses offered by the School of Business  1.An Honours Essay ECON 4908 [1.0] may be written by students with Overall and Major CGPAs of 9.50 or higher.In cases where a grade of B-or higher is earned on this essay, it may count for 1.0 credit in ECON at the 4000-level.Qualified students who choose to pursue the Honours Essay option must first complete an Honours Essay prospectus to the satisfaction of both their adviser and the Department of Economics Undergraduate Supervisor. 2. MATH 2100 [1.0] may replace MATH 3107 and 0.5 credit in free electives in this program.
Program Requirements for Combined B.Math./ M.Sc.
This "fast-track" program combines the requirements for Bachelor of Mathematics in Mathematics or Statistics, and Master of Science in Mathematics, into a sequence that will enable exceptional students to complete in four years of study.
Entry to this program directly from an Ontario High School requires both of the following: 1. an average of 90 per cent or better on Grade 12 Mathematics: Advanced Functions and Grade 12 Mathematics: Calculus and Vectors; 2. an average of 85 per cent or better over six credits in Grade 12 courses of University or University/College type.
Admission, continuation and graduation from the undergraduate portion of the program requires a Major CGPA of 11.0 or better and Overall CGPA of 10.00 or better.
Before entry into the fourth year of this program, students must: obtain a recommendation from the School of Mathematics and Statistics to continue, apply to graduate with a B.Math.degree, by the end of January of their third year, and submit an application for graduate studies to the School by mid-February.

Undergraduate Portion
Students may apply for admission to either the Mathematics or the Statistics versions of the program.Students are required to present a Minor CGPA of 4.00 or higher at graduation in order to be awarded a Minor in Mathematics.6.The remaining requirements of the major discipline(s) and degree must be satisfied.

Total Credits 4.0
Note: As a prerequisite, MATH 1800 opens more options at the 2000-level and above.It is recommended that students taking MATH 1800 do so as early as possible.
Minor in Statistics (4.0 credits)

B.Sc. Regulations
The regulations presented in this section apply to all Bachelor of Science programs.

Co-operative Education
For more information about how to apply for the Co-op program and how the Co-op program works please visit the Co-op website.
All students participating in the Co-op program are governed by the Undergraduate Co-operative Education Policy.

Undergraduate Co-operative Education Policy Admission Requirements
Students can apply to Co-op in one of two ways: directly from high school, or after beginning a degree program at Carleton.
If a student applies to a degree program with a Co-op option from high school, their university grades will be reviewed two terms to one year prior to their first work term to ensure they meet the academic requirements after their first or second year of study.The time at which the evaluation takes place depends on the program of study.
Students will automatically receive an admission decision via their Carleton email account.
Students who did not request Co-op at the time they applied to Carleton can request Co-op after they begin their university studies.To view application instructions and deadlines, please visit carleton.ca/co-op.
To be admitted to Co-op, a student must successfully complete 5.0 or more credits that count towards their degree, meet the minimum CGPA requirement(s) for the student's Co-op option, and fulfil any specified course prerequisites.To see the unique admission and continuation requirements for each Co-op option, please refer to the specific degree programs listed in the Undergraduate Calendar.

Participation Requirements COOP 1000
Once a student has been given admission or continuation confirmation to the co-op option s/he must complete and pass COOP 1000 (a mandatory online 0.0 credit course).
Students will have access to this course a minimum of two terms prior to their first work term and will be notified when to register.

Communication with the Co-op Office
Students must maintain contact with the co-op office during their job search and while on a work term.All email communication will be conducted via the students' Carleton email account.

Employment
Although every effort is made to ensure a sufficient number of job postings for all students enrolled in the co-op option of their degree program, no guarantee of employment can be made.Carleton's co-op program operates a competitive job search process and is dependent upon current market conditions.Academic performance, skills, motivation, maturity, attitude and potential will determine whether a student is offered a job.It is the student's responsibility to actively conduct a job search in addition to participation in the job search process operated by the co-op office.Once a student accepts a coop job offer (verbally or written), his/her job search will end and access to co-op jobs will be removed for that term.Students that do not successfully obtain a co-op work term are expected to continue with their academic studies.The summer term is the exception to this rule.Students should also note that hiring priority is given to Canadian citizens for co-op positions in the Federal Government of Canada.

Registering in Co-op Courses
Students will be registered in a Co-op Work Term course while at work.The number of Co-op Work Term courses that a student is registered in is dependent upon the number of four-month work terms that a student accepts.
While on a co-op work term students may take a maximum of 0.5 credit throughout each four-month co-op work term.
Courses must be scheduled outside of regular working hours.
Students must be registered as full-time before they begin their co-op job search.All co-op work terms must be completed before the beginning of the final academic term.
Students may not finish their degree on a co-op work term.

Work Term Assessment and Evaluation
To obtain a Satisfactory grade for the co-op work term students must have: 1.A satisfactory work term evaluation by the co-op employer; 2. A satisfactory grade on the work term report.
Students must submit a work term report at the completion of each four-month work term.Reports are due on the 16th of April, August, and December and students are notified of due dates through their Carleton email account.
Workplace performance will be assessed by the workplace supervisor.Should a student receive an unsatisfactory rating from their co-op employer, an investigation by the co-op program manager will be undertaken.An unsatisfactory employer evaluation does not preclude a student from achieving an overall satisfactory rating for the work term.

Graduation with the Co-op Designation
In order to graduate with the co-op designation, students must satisfy all requirements for their degree program in addition to the requirements according to each co-op program (i.e.successful completion of three or four work terms).
Note: Participation in the co-op option will add up to one additional year for a student to complete their degree program.

Voluntary Withdrawal from the Co-op Option
Students may withdraw from the co-op option of their degree program during a study term ONLY.Students at work may not withdraw from the work term or the co-op option until s/he has completed the requirements of the work term.
Students are eligible to continue in their regular academic program provided that they meet the academic standards required for continuation.

Involuntary or Required Withdrawal from the Co-op Option
Students may be required to withdraw from the co-op option of their degree program for one or any of the following reasons: 1. Failure to achieve a grade of SAT in COOP 1000 2. Failure to pay all co-op related fees 3. Failure to actively participate in the job search process 4. Failure to attend all interviews for positions to which the student has applied 5. Declining more than one job offer during the job search process 6. Continuing a job search after accepting a co-op position 7. Dismissal from a work term by the co-op employer 8. Leaving a work term without approval by the Co-op manager 9. Receipt of an unsatisfactory work term evaluation 10.Submission of an unsatisfactory work term report

Standing and Appeals
The Co-op and Career Services office administers the regulations and procedures that are applicable to all coop program options.All instances of a student's failure during a work term or other issues directly related to their participation in the co-op option will be reported to the academic department.
Any decision made by the Co-op and Career Services office can be appealed via the normal appeal process within the University.

International Students
All International Students are required to possess a Coop Work Permit issued by Immigration, Refugees and Citizenship Canada before they can begin working.It is illegal to work in Canada without the proper authorization.Students will be provided with a letter of support to accompany their application.Students must submit their application for their permit before being permitted to view and apply for jobs on the Co-op Services database.Confirmation of a position will not be approved until a student can confirm they have received their permit.Students are advised to discuss the application process and requirements with the International Student Services Office.

Admissions Information
Admission Requirements are for the 2024-25 year only, and are based on the Ontario High School System.Holding the minimum admission requirements only establishes eligibility for consideration.The cut-off averages for admission may be considerably higher than the minimum.See also the General Admission and Procedures section of this Calendar.An overall average of at least 70% is normally required to be considered for admission.Some programs may also require specific course prerequisites and prerequisite averages and/or supplementary admission portfolios.Higher averages are required for admission to programs for which the demand for places by qualified applicants exceeds the number of places available.The overall average required for admission is determined each year on a program by program basis.Consult admissions.carleton.cafor further details.
Note: Courses listed as recommended are not mandatory for admission.Students who do not follow the recommendations will not be disadvantaged in the admission process.

Admissions Information
Admission requirements are based on the Ontario High School System.Prospective students can view the admission requirements through the Admissions website at admissions.carleton.ca.The overall average required for admission is determined each year on a program-by-program basis.Holding the minimum admission requirements only establishes eligibility for consideration; higher averages are required for admission to programs for which the demand for places by qualified applicants exceeds the number of places available.All programs have limited enrolment and admission is not guaranteed.Some programs may also require specific course prerequisites and prerequisite averages and/or supplementary admission portfolios.Consult admissions.carleton.cafor further details.
Note: If a course is listed as recommended, it is not mandatory for admission.Students who do not follow the recommendations will not be disadvantaged in the admission process.

B.Math Honours First Year
The Ontario Secondary School Diploma (OSSD) or equivalent including a minimum of six 4U or M courses.The six 4U or M courses must include Advanced Functions, and Calculus and Vectors.
The overall admission cut-off average and/or the prerequisite course average may be considerably higher than the stated minimum requirements for admission to the combined B.Math./M.Sc. in Mathematics or Statistics.

Advanced Standing
Applications for admission beyond first year will be assessed on their merits.Applicants must normally be Eligible to Continue in their year level, in addition to meeting the CGPA thresholds described in Section 3.1.9of the Academic Regulations of the University.Advanced standing will be granted only for those subjects assessed as being appropriate for the program and the stream selected.

B.Math First Year
The Ontario Secondary School Diploma (OSSD) or equivalent including a minimum of six 4U or M courses.
The six 4U or M courses must include Advanced Functions, and Calculus and Vectors.

Advanced Standing
Applications for admission beyond first year will be assessed on their merits.Applicants must normally be Eligible to Continue (EC) in their year level.Advanced standing will be granted only for those subjects assessed as being appropriate for the program and the stream selected.

Co-op Option
Direct Admission to the First Year of the Co-op Option Applicants must: 1. meet the required overall admission cut-off average and prerequisite course average.These averages may be higher than the stated minimum requirements; 2. be registered as a full-time student in the Bachelor of Mathematics Honours program; 3. be eligible to work in Canada (for off-campus work placements).
Meeting the above requirements only establishes eligibility for admission to the program.The prevailing job market (and thus the availability of co-op placement) may limit enrolment in the co-op option.
Note: continuation requirements for students previously admitted to the co-op option and admission requirements for the co-op option after beginning the program are described in the Co-operative Education Regulations section of this Calendar.

Admissions Information
Admission Requirements are for the 2024-25 year only, and are based on the Ontario High School System.Holding the minimum admission requirements only establishes eligibility for consideration.The cut-off averages for admission may be considerably higher than the minimum.See also the General Admission and Procedures section of this Calendar.An overall average of at least 70% is normally required to be considered for admission.Some programs may also require specific course prerequisites and prerequisite averages and/or supplementary admission portfolios.Higher averages are required for admission to programs for which the demand for places by qualified applicants exceeds the number of places available.The overall average required for admission is determined each year on a program by program basis.Consult admissions.carleton.cafor further details.
Note: Courses listed as recommended are not mandatory for admission.Students who do not follow the recommendations will not be disadvantaged in the admission process.
admission requirements only establishes eligibility for consideration; higher averages are required for admission to programs for which the demand for places by qualified applicants exceeds the number of places available.All programs have limited enrolment and admission is not guaranteed.Some programs may also require specific course prerequisites and prerequisite averages and/or supplementary admission portfolios.Consult admissions.carleton.cafor further details.
Note: If a course is listed as recommended, it is not mandatory for admission.Students who do not follow the recommendations will not be disadvantaged in the admission process.

Specific Honours Admission Requirements
For the Honours programs in Earth Sciences, Environmental Science, Geomatics, Interdisciplinary Science and Practice, and Physical Geography, Calculus and Vectors may be substituted for Advanced Functions.
For the Honours programs in Physics and Applied Physics, and for double Honours in Mathematics and Physics, Calculus and Vectors is required in addition to Advanced Functions and one of 4U Physics, Chemistry, Biology, or Earth and Space Sciences.For all programs in Physics, 4U Physics is strongly recommended.
For Honours in Psychology, a 4U course in English is recommended.
For Honours in Environmental Science, a 4U course in Biology and Chemistry is recommended.

Advanced Standing
Applications for admission beyond first year will be assessed on their merits.Applicants must normally be Eligible to Continue in their year level, in addition to meeting the CGPA thresholds described in Section 3.1.9of the Academic Regulations of the University.Advanced standing will be granted only for those subjects deemed appropriate for the program and stream selected.

B.Sc. Major and B.Sc. First Year
The Ontario Secondary School Diploma (OSSD) or equivalent including a minimum of six 4U or M courses.The six 4U or M courses must include Advanced Functions and two of Calculus and Vectors, Biology, Chemistry, Earth and Space Science, or Physics (Calculus and Vectors is strongly recommended).For the B.Sc. Major in Physics, 4U Physics is strongly recommended.

Advanced Standing
Applications for admission beyond first year will be assessed on their merits.Applicants must normally be Eligible to Continue (EC) in their year level.Advanced standing will be granted only for those subjects deemed appropriate for the program and stream selected.

Co-op Option Direct Admission to the First Year of the Co-op Option
Applicants must: 1. meet the required overall admission cut-off average and prerequisite course average.These averages may be higher than the stated minimum requirements; 2. be registered as a full-time student in the Bachelor of Science Honours program; 3. be eligible to work in Canada (for off-campus work placements).
Note that meeting the above requirements only establishes eligibility for admission to the program.The prevailing job market may limit enrolment in the co-op option.
Note: continuation requirements for students previously admitted to the co-op option and admission requirements for the co-op option after beginning the program are described in the Co-operative Education Regulations section of this Calendar.

Mathematics (MATH) Courses
Note: • See also the course listings under Statistics (STAT) in this Calendar.

Prerequisites for
0.5] Introduction to Computer Science I COMP 1006 [0.5] Introduction to Computer Science II 3. 6.0 credits in: 0.5] Intermediate Microeconomics II: Consumers and General Equilibrium ECON 3050 [0.5] Introduction to Financial Economics ECON 4051 [0.5] Financial Asset Pricing ECON 4052 or MATH 1004 [0.5] Calculus for Engineering or Physics or MATH 1052 [0.5] Calculus and Introductory Analysis I from 3000-level Honours Sequence or MATH or STAT at the 4000-level or higher 0.5 4. 1.5 credits at the 4000-level or higher in MATH or STAT 1.5 B. Credits Not Included in the Major CGPA (5.0 credits) 5. 4.0 credits not in MATH, STAT or COMP, consisting of: Students wishing to specialize in Stochastics may, with the permission of the School, replace Credits Included in the Major CGPA of the Mathematics version with: credit in MATH at 2000-level 4. 1.0 credit in MATH at the 2000-level or higher 1.0 5. 0.5 credit in MATH at the 3000-level or higher 0.5

completing a double major are considered to have completed this requirement providing they have 2.0 credits in Science Continuation courses in each of the two
In addition to the requirements presented here, students must satisfy the University regulations common to all undergraduate students including the process of Academic Continuation Evaluation (see the Academic Regulations of the University section of this Calendar).
Breadth Requirement for the B.Sc. Students in a Bachelor of Science program must present the following credits at graduation: 1. 2.0 credits in Science Continuation courses not in the major discipline; students Declared and Undeclared Students Degree students are considered "Undeclared" if they have been admitted to a degree, but have not yet selected and been accepted into a program within that degree.The status "Undeclared" is available only in the B.A. and

Approved Courses Outside the Faculties of Science and Engineering and Design (may include NSCI 1000)
Biology students may use these courses only as free electives.Integrated Science and Environmental Science students may include these courses in their programs but may not count them as part of the Science Sequence.
Science Continuation CoursesA course at the 2000 level or above may be used as a Science Continuation credit in a B.Sc. program if it is not in the student's major discipline, and is chosen from

MATH 1104 [0.5 credit] Linear Algebra for Engineering or Science
First-order equations, linear second-and higher-order equations, linear systems, stability of second-order systems.Precludes additional credit for BIT 2004 (no longer offered), MATH 1005, MATH 2454.Prerequisite(s):MATH 2052 and MATH 1152 (or  MATH 1107 and MATH 2007).Lectures three hours a week and one hour tutorial.Existence and uniqueness theorems.First-order equations, linear second-and higher-order equations, linear systems, stability of second-order systems.Precludes additional credit for MATH 2404, BIT 2004 (no longer offered).Prerequisite(s): MATH 2052 or MATH 2007 or MATH 1005 with a grade of C+ or higher, and MATH 2152 or MATH 2107 with a grade of C+ or higher.Lectures three hours a week, tutorial one hour a week.An introduction to discrete mathematics and algorithms in the context of the computational sciences.Basic number theory and counting methods, algorithms for strings, trees and sequences.Applications to DNA and protein sequencing problems.Analysis and complexity of algorithms.Also listed as CMPS 2800.Precludes additional credit for Only one of MATH 1805/ COMP 1805 or MATH 2800/CMPS 2800 may count for credit in a B.Math.program.Prerequisite(s): COMP 1006 and at least one of MATH 1007, MATH 1107, or STAT 2507.Lectures three hours a week.

MATH 2907 [0.5 credit] Directed Studies (Honours)
Available only to Honours students whose program requires a 0.5 credit not offered by the School of Mathematics and Statistics.MATH 3009 and MATH 1800) each with a grade of B or higher, and permission of the instructor; or permission of the School.Lectures three hours a week and one hour tutorial.Function spaces, pointwise and uniform convergence, Weierstrass approximation theorem, Lebesgue measure and Lebesgue integral on the real line, Hilbert space, Fourier series.Prerequisite(s): MATH 3001 with a grade of C-or higher, or permission of the School.Lectures three hours a week, tutorial one hour a week.Review of multivariable differentiation and integration.Vector fields, differential forms and exterior algebra.Introduction to manifolds and tangent bundles.Stokes' Theorem.Applications such as differential equations and the calculus of variations.Prerequisite(s): MATH 3001 with a grade of C-or higher, or permission of the School.Lectures three hours a week, tutorial one hour a week.Analytic functions, contour integration, residue calculus, conformal mapping.Intended for non-engineering students.Precludes additional credit for MATH 3057 and PHYS 3807.Prerequisite(s): one of MATH 2004, MATH 2008 or MATH 2009, or permission of the School.Lectures three hours a week and one hour tutorial.Analytic ordinary differential equations: series solutions of ordinary differential equations about ordinary and regular singular points.Asymptotic solutions.Sturm-Liouville theory.Bessel and Legendre functions.Fourier series.Precludes additional credit for MATH 3404 and PHYS 3808.Prerequisite(s): i) MATH 2000 with a grade of C-or higher, or (MATH 3009 with a grade of B or higher, and permission of the instructor); and ii) MATH 2454 with a grade of C-or higher, or (MATH 2404 with a grade of B or higher, and permission of the instructor).Lectures three hours a week and one hour tutorial.The real number system, sequences and series, functions of a single real variable, derivatives, the definite integral, uniform convergence.Precludes additional credit for MATH 2000.Prerequisite(s): one of MATH 2004, MATH 2008, MATH 2009, or permission of the School.Lectures three hours a week and one hour tutorial.Analytic functions, contour integration, residue calculus, conformal mappings.Precludes additional credit for MATH 3007 and PHYS 3807.Prerequisite(s): MATH 2000 with a grade of C-or higher; or permission of the School.Lectures three hours a week and one hour tutorial.Introduction to algebraic structures: groups, rings, fields, lattices, and Boolean algebras; with applications of interest to students in Computer Science.This course may not be used to meet the 3000-level course requirements in any B.Math or B.Math Honours program in Mathematics and Statistics.Precludes additional credit for MATH 2108 and MATH 2100.Prerequisite(s): i) MATH 2107 or MATH 2152; and ii) either COMP 1805 or MATH 1800 (MATH 1800 may be taken concurrently, with permission of the School); or permission of the School.Lectures three hours a week and one hour tutorial.Homomorphism theorems; groups acting on sets; permutation groups and groups of matrices; Sylow theory for finite groups; finitely generated abelian groups; generators and relations; applications.Precludes additional credit for MATH 3108.Prerequisite(s): MATH 2100 with a grade of C-or higher; or (MATH 2108 or MATH 3101 with a grade of B or higher; and MATH 1800 with a grade of B or higher; and permission of the instructor); or permission of the School.Lectures three hours a week, tutorial one hour a week.

MATH 3107 [0.5 credit] Linear Algebra III Similarity
and unitary triangularization of matrices.Direct methods of solving a system of linear equations.Iterative techniques.Bounds for eigenvalues.Power method and deflation techniques of approximation.Emphasis is primarily on computational aspects.Prerequisite(s): i) a grade of C-or higher in MATH 2152 or MATH 2107; and ii) credit in MATH 2052 or MATH 2007; or permission of the School.Lectures three hours a week and one hour tutorial.