Integrated Mathematics and Computer Science

General information

The technology industry has long benefited from trained talents in Mathematics and Computer Science. In recent years, there has been a steady increase in demand for individuals with skill sets that combine the two disciplines. The Integrated Mathematics and Computer Science program focuses on where these two disciplines converge, and the practical application of computer knowledge and mathematical principles. 

Students will develop a strong foundation in both Computer Science and Applied Mathematics, with access to courses taught by area experts in both fields. The curriculum offers the flexibility in upper-year courses tailored for a wide range of career trajectories and interests. Through program-specific application and integration courses, students engage in experiential learning through self-directed group projects inspired by industry problems and initiatives. This essential aspect of the program will ensure that graduates have the ability to integrate mathematical and computer knowledge in a practical setting, and will allow students to build up a rich portfolio of achievements to further their competitiveness upon graduation.

Admission requirements

Admission is competitive. The specific average or standing required for admission varies from year to year. Students are selected by taking into consideration a wide range of criteria including school marks, distribution of subjects taken, and performance in subjects relevant to the academic program. Possession of the minimum requirements does not guarantee acceptance. Preference will be given to applicants with the best qualifications.

Current Ontario secondary school students must complete the Ontario Secondary School Diploma (OSSD) with six 4U or 4M credits including English (ENG4U), Advanced Functions (MHF4U), and two of the following: Calculus and Vectors (MCV4U), Computer Science (ICS4U), Physics (SPH4U). In addition, a combined minimum 70 per cent average in prerequisite computer science, math and science courses is required. It is recommended that all three MCV4U, ICS4U and SPH4U be taken. All other applicants should refer to admissions  for the requirements for their specific category of admission.

Program details and degree requirements

The requirements for the four‐year Integrated Mathematics and Computer Science program are detailed in the following program map. In addition to the regular program, a co‐op program is also available. Students interested in the co-op program  should contact the Faculty of Science Co‐op Coordinator as early as the fall of their second year.

Although reasonable efforts will be made to adhere to the following program map, course requirements and term offerings may change.

Year 1 (30 credit hours)

• Two electives*
• CSCI 1030U – Introduction to Computer Science
• CSCI 1060U – Programming Workshop I
• CSCI 1061U – Programming Workshop II
• MATH 1020U – Calculus II
• MATH 2050U – Linear Algebra
• PHY 1020U – Physics II

• One of:

• MATH 1000U – Introductory Calculus + or
• MATH 1010U – Calculus I +

• One of:

• PHY 1010U – Physics I + or
• PHY 1030U – Introductory Physics +

• 
  + All students who have completed Grade 12 Advanced Functions (MHF4U) and Calculus and Vectors (MCV4U) should take MATH 1010U  and PHY 1010U . Students without one of these high school courses or equivalent are directed to take MATH 1000U  and PHY 1030U .

Year 2 (30 credit hours)

• CSCI 2000U – Scientific Data Analysis
• CSCI 2010U – Data Structures
• CSCI 2020U – Software Systems Development and Integration
• CSCI 2040U – Software Design and Analysis
• CSCI 2072U – Computational Science I
• CSCI 2110U – Discrete Mathematics for Computer Scientists
• MATH 2015U – Calculus III
• MATH 2055U – Advanced Linear Algebra and Applications
• MATH 2060U – Differential Equations
• STAT 2010U – Statistics and Probability for Physical Science

Year 3 and 4 (60 credit hours)

• Five electives*
• Four Senior Computer Science electives**
• Four Senior Mathematics electives**
• IMCS 3010U – Integrated Application Project I
• IMCS 3020U – Integrated Application Project II
• CSCI 3070U – Analysis and Design of Algorithms
• CSCI 4040U – Ethics, Law and the Social Impacts of Computing
• MATH 3060U – Complex Analysis
• IMCS 4410U – Integrated Mathematics and Computer Science Thesis Project I
• IMCS 4420U – Integrated Mathematics and Computer Science Thesis Project II

Note:

No more than 42 credit hours may be taken at the first‐year level.

*Electives and breadth requirements

Students must complete a total of 21 credit hours such that the following elective requirements are satisfied:

• 12 credit hours must be in courses from outside the Faculty of Science, among which at least 3 credit hours must be in business electives++, and at least 3 credit hours in communications electives+++.
• 6 credit hours must be in courses offered by the Faculty of Science, outside of Computer Science and Mathematics.
• The remaining 3 credit hours as a general elective (offered by the Faculty of Science or outside the Faculty of Science).

**Senior Computer Science and Senior Mathematics electives

Students must complete a total of 24 credit hours such that the following elective requirements are satisfied:

• 12 credit hours must be in Senior Computer Science electives, or in Mathematics courses from the following list +**. Only 3 credit hours in Mathematics courses may be applied towards the Senior Computer Science elective requirement, and may not be double counted toward any other elective requirement. A Senior Computer Science elective is defined as a 3000‐ or 4000‐level Computer Science course.
• 12 credit hours must be in Senior Mathematics electives, or in Computer Science courses from the following list ++*. Only 3 credit hours in Computer Science courses may be applied towards the Senior Mathematics elective requirement, and may not be double counted toward any other elective requirement. A Senior Mathematics elective is defined as a 3000‐ or 4000‐level Mathematics course.