# Mathematics Program

**NEW! Course Offering in 2022-2023: **

**MATH-2405 Real Analysis I **

**Programs in Mathematics**

- 3-year or 4-year BA/BSc in Mathematics
- Honours BSc in Mathematics (course schedule for an Honours BSc in Mathematics)
- Minor in Mathematics
- Teachable major or minor in Mathematics

Requirements for a 4-year BA/BSc or Honours BSc in Mathematics
Requirements for a 3-year BA/BSc in Mathematics

Requirements for a Minor in Mathematics

Requirements for a Teachable Major in Mathematics (for students in the Faculty of Education)

Requirements for a Teachable Minor in Mathematics, Senior Years (for students in the Faculty of Education)

Requirements for a Teachable Minor in Mathematics, Early and Early/Middle Years (for students in the Faculty of Education)

- MATH-1103 Introduction to Calculus I and MATH-1104 Introduction to Calculus II
- MATH-1401 Discrete Mathematics
- MATH-2105 Intermediate Calculus I and MATH-2106 Intermediate Calculus II
- MATH-1201 Linear Algebra I and MATH-2203 Linear Algebra II
- MATH-2405 Real Analysis
- MATH-3101 Introduction to Mathematical Analysis
- MATH-3202 Group Theory
- MATH-3203 Linear Algebra III
- MATH-4101 Complex Analysis
- MATH-4202 Rings & Fields
- (New) ACS-1903 or ACS-1905 or ACS/PHYS-2102
- 4-year: any additional 15 credit hours in math (some restrictions listed in the academic calendar)
- Honours: 33 additional credit hours in math (some restriction listed in the academic calendar)
- Honours: minimum 30 credit hours at the 3000/4000 level, with 12 credit hours at the 4000 level, not including courses cross-listed with statistics
- Course schedule for an Honours BSc in Mathematics

- MATH-1103 Introduction to Calculus I and MATH-1104 Introduction to Calculus II
- MATH-1401 Discrete Mathematics
- MATH-2105 Intermediate Calculus I and MATH-2106 Intermediate Calculus II
- MATH-1201 Linear Algebra I and MATH-2203 Linear Algebra II
- A minimum additional fifteen (15) credit hours chosen from the following courses, of which six (6) credit hours must be at the 3000 or 4000 level.

MATH-2102(3) Differential Equations I | MATH-3402(3) Combinatorics |

MATH-2103(3) Differential Equations II | MATH-4003(3) Topics in Mathematics |

MATH-2202(3) Cryptography and Other Applications of Algebra | MATH-4101(3) Complex Analysis |

MATH-2405(3) Real Analysis I | MATH-4202(3) Rings and Fields |

MATH-2501(3) Introduction to Number Theory | MATH-4204(3) Topics in Algebra |

MATH-3101(6) Introduction to Mathematical Analysis | MATH-4401(3) Networks, Graph Theory and Combinatorial Optimization |

MATH-3103(3) Methods in Advanced Calculus | MATH-4403(3) Set Theory |

MATH-3202(3) Group Theory | MATH-4602(3) Measure Theory and Integration |

MATH-3203(3) Linear Algebra III | MATH-4603(3) Topology |

MATH-3104(3) Graph Theory |

- MATH-1103 Introduction to Calculus I and MATH-1104 Introduction to Calculus II
- An additional 12 credit hours at the 2000 level or higher chosen from the following list:

MATH-2102(3) Differential Equations I | MATH-3202(3) Group Theory |

MATH-2103(3) Differential Equations II | MATH-3203(3) Linear Algebra III |

MATH-2105(3) Intermediate Calculus I | MATH-3401(3) Graph Theory |

MATH-2106(3) Intermediate Calculus II | MATH-3402(3) Combinatorics |

MATH-2202(3) Cryptography and Other Applications of Algebra | MATH-4003(3) Topics in Mathematics |

MATH-2203(3) Linear Algebra II | MATH-4101(3) Complex Analysis |

MATH-2405 Real Analysis I | MATH-4202(3) Rings and Fields |

MATH-2501(3) Introduction to Number Theory | MATH-4204(3) Topics in Algebra |

MATH-3101(6) Introduction to Mathematical Analysis | MATH-4401(3) Networks, Graph Theory and Combinatorial Optimization |

MATH-3103(3) Methods in Advanced Calculus | MATH-4403(3) Set Theory |

- MATH-1103 Introduction to Calculus I and MATH-1104 Introduction to Calculus II
- MATH-1401 Discrete Mathematics
- MATH-2105 Intermediate Calculus I and MATH-2106 Intermediate Calculus II
- MATH-1201 Linear Algebra I Linear Algebra I and MATH-2203 Linear Algebra II
- A minimum additional fifteen (15) credit hours chosen from the following courses, of which six (6) credit hours must be at the 3000 or 4000 level.

MATH-2102(3) Differential Equations I | MATH-3402(3) Combinatorics |

MATH-2103(3) Differential Equations II | MATH-4003(3) Topics in Mathematics |

MATH-2202(3) Cryptography and Other Applications of Algebra | MATH-4101(3) Complex Analysis |

MATH-2405 Real Analysis I | MATH-4101(3) Complex Analysis |

MATH-2501(3) Introduction to Number Theory | MATH-4202(3) Rings and Fields |

MATH-3101(6) Introduction to Mathematical Analysis | MATH-4204(3) Topics in Algebra |

MATH-3103(3) Methods in Advanced Calculus | MATH-4401(3) Networks, Graph Theory and Combinatorial Optimization |

MATH-3202(3) Group Theory | MATH-4403(3) Set Theory |

MATH-3203(3) Linear Algebra III | MATH-4602(3) Measure Theory and Integration |

MATH-3401(3) Graph Theory | MATH-4603(3) Topology |

STAT-1301(3) Statistical Analysis I | STAT-1501(3) Elementary Biological Statistics I |

STAT-1401(3) Statistics I for Business and Economics | STAT-1302(3) Statistical Analysis II |

STAT-2001(3) Elementary Biological Statistics II |

**Restrictions: **Students may not receive credit for more than one of STAT-1301(3), STAT-1401(3), and STAT-1501(3). Students may not receive credit for more than one of STAT-1302(3) and STAT-2001(3).

- MATH-1103 Introduction to Calculus I and MATH-1104 Introduction to Calculus II
- An additional 12 credit hours chosen from the following list:

MATH-1201(3) Linear Algebra I | MATH-3101(6) Introduction to Mathematical Analysis |

MATH-1401(3) Discrete Mathematics | MATH-3103(3) Methods in Advanced Calculus |

MATH-2102(3) Differential Equations I | MATH-3202(3) Group Theory |

MATH-2103(3) Differential Equations II | MATH-3203(3) Linear Algebra III |

MATH-2105(3) Intermediate Calculus I | MATH-3401(3) Graph Theory |

MATH-2106(3) Intermediate Calculus II | MATH-3402(3) Combinatorics |

MATH-2202(3) Cryptography and Other Applications of Algebra | MATH-4003(3) Topics in Mathematics |

MATH-2203(3) Linear Algebra II | MATH-4101(3) Complex Analysis |

MATH-2405 Real Analysis I | |

MATH-2501(3) Introduction to Number Theory | |

STAT-1301(3) Statistical Analysis I | STAT-1501(3) Elementary Biological Statistics I |

STAT-1401(3) Statistics for Business and Economics |

**Restrictions: **Students may not receive credit for more than one of STAT-1301(3), STAT-1401(3), and STAT-1501(3).

- MATH-2903(3) Math for Early/Middle Years Teachers I
- An additional 9 credit hours chosen from the following list:

MATH-1103(3) Introduction to Calculus I | MATH-2105(3) Intermediate Calculus I |

MATH-1104(3) Introduction to Calculus II | MATH-2106(3) Intermediate Calculus II |

MATH-1101(6) Introduction to Calculus | MATH-2202(3) Cryptography and Other Applications of Algebra |

MATH-1201(3) Linear Algebra I | MATH-2203(3) Linear Algebra II |

MATH-1401(3) Discrete Mathematics | MATH-2405 Real Analysis I |

MATH-2102(3) Differential Equations I | MATH-2501(3) Introduction to Number Theory |

MATH-2103(3) Differential Equations II | MATH-2904(3) Math for Early/Middle Years Teachers II |

**Restrictions: **Students may not receieve credit for either MATH-1103(3) or MATH-1104(3) and also receive credit for MATH-1101(6).