**Freshman Calculus Courses -- first semester:** All of the following require you to have taken a "functions course" previously.

Calculus for Management 1(MATH 122) For Faculty of Management students only. Faculty of Management students who want to take the Management Mathematics Minor Concentration, the Mathematics Major Concentration, the Management Statistics Minor Concentration or the Statistics Major Concentration should take MATH 140 instead and continue with MATH 141. The same is true of management students who plan to take Honours or Joint Honours in Economics. Taking MATH 122 cuts you off from taking the regular MATH 140/141/222 and the MATH 150/151 calculus streams and thereby further math courses. MATH 122 is a course covering both differential and integral calculus, but in substantially less depth than the MATH 140, MATH 141 sequence. Trigonometric functions are not discussed in this course. Faculty of management students continue with MATH 123 which covers Linear Algebra and Probability.

Calculus(MATH 139) Equivalent to MATH 140, but for students with no previous knowledge of Calculus. Starting in September 2010, students have a free choice of which of these two courses they take. MATH 139 has 4 credits, 4 hours of lectures/week and 1 hour of tutorials/week. MATH 140 has 3 credits, 3 hours of lectures/week and 1 hour of tutorials/week. There will be a diagnostic test very early in the Fall term to help students to ensure that they are registered in the course more appropriate for their needs.

Calculus 1(MATH 140) For students who have taken high school calculus. This is the standard entry level calculus course.Calculus A(MATH 150) This is the first course of the two course sequence MATH 150, MATH 151 which is equivalent to the standard MATH 140, MATH 141 and MATH 222 calculus sequence taken by Arts and Science students.

This sequence covers the material more rapidly and is more challenging than the standard sequence. It is open to students with high school calculus who have not received six advanced placement credits. Also, to take MATH 150 you need to takeVectors, Matrices and Geometry(MATH 133) as a corequisite or to have already covered this material beforehand. Challenging!

Please note that **Mathematics for Management 1** (MATH 130) and **Mathematics for Management 2** (MATH 131) previously available to Faculty of Management students have now been retired.

**Freshman Calculus Courses -- second semester:****Calculus 2**

- (MATH 141) Continuation of MATH 139 and MATH 140.
**Calculus B**(MATH 151) Continuation of MATH 150 for Science and Arts students.

**Linear Algebra Courses. **You should have already taken MATH 133 or its equivalent before taking any of the following:

Linear Algebra(MATH 223) An elementary, but fast-paced course in Linear Algebra. Usually, you should choose this course if you are in a Mathematics Faculty or Minor program or in a non-Mathematics program that does not explicitly require you to take one of the other linear algebra courses. If you are doing the Faculty of Arts Minor concentration in Mathematics, taking this course limits you to the nonexpandable version of the minor.Algebra 2(MATH 236) For Maths Majors students or students in a Major program with a Mathematics component. Prerequisite MATH 235. Note that Faculty of Arts students doing a minor concentration in Mathematics should take the MATH 235, MATH 236 sequence if they wish to leave open the option of expanding their program into a Major concentration.Honours Applied Linear Algebra(MATH 247) Primarily for Honours Physics and Engineering students. Substantially more challenging than MATH 223.Honours Algebra 2(MATH 251) For Honours Mathematics students or students in an Honours program with a Mathematics component. Prerequisite MATH 235.- A certain amount of basic linear algebra is taught in
Ordinary Differential Equations and Linear Algebra(MATH 263) but this amounts to only about 40% of the course and is not equivalent to any of the other courses in this list. For Faculty of Engineering students only.Applied Linear Algebra(MATH 270) For Faculty of Engineering students only.Linear Algebra and Partial Differential Equations(MATH 271) For Faculty of Engineering students only.

There is also a course **Linear Algebra and Probability** (MATH 123) at the freshman level, available only to Faculty of Management students which covers some of the material of MATH 133 and a little probability theory.

**Intermediate Calculus Courses.** Prerequisites: MATH 140 (or MATH 139) and MATH 141 or their equivalents.

**Advanced Calculus Courses. **All the following have **Calculus 3** (MATH 222) or its equivalent as a prerequisite.

Advanced Calculus(MATH 314) The standard advanced calculus course. This is the course to take if you are in a Majors level program.Advanced Calculus(MATH 264) (Honours engineers may take MATH 248). Only open to students in the Faculty of Engineering.Honours Advanced Calculus(MATH 248) Advanced calculus for honours students in Physics, Engineering or Mathematics or students in a joint honours program with a mathematics component.

**Differential Equations Courses.** All the following have prerequisite MATH 222 Calculus 3 (or corequisite MATH 262).

Ordinary Differential Equations(MATH 315) The standard introductory differential equations course. This is the course to take if you are in a Majors level program or a Faculty Program or taking a Maths Minor. Engineering students (non-honours) should take MATH 263 instead.Honours Ordinary Differential Equations(MATH 325) Differential equations for honours students in Physics, Engineering or Mathematics or in a joint honours program with a mathematics component.Ordinary Differential Equations and Linear Algebra(MATH 263) Differential equations for engineering students. Only open to students in the Faculty of Engineering.

**Complex Variables Courses.**

Complex Variables(MATH 316) The standard complex variables course. This is the course to take if you are in a Majors level program. Prerequisites: MATH 243, Real Analysis and MATH 314, Advanced calculus.Honours Complex Variables(MATH 249) For Honours Physics and Engineering students. Prerequisite: MATH 248.Complex Variables and Transforms(MATH 381) For electrical engineers only. Also contains material on transforms.Honours Complex Analysis(MATH 366) For Honours Mathematics students. Prerequisite: MATH 248, Corequisite: MATH 354. More sophisticated than the preceeding three courses.