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MATH1115: Advanced Mathematics and Applications

Covers the same ground as the standard first-year maths sequence at a steeper pace, with more proof and less hand-holding, aimed at students who want the rigour up front rather than added later. Not a prerequisite for anything in this catalog — it's an alternative route, not an extra hurdle.

Learning objectives

By the end of this course, students will be able to:

• Construct rigorous proofs at a first-year level, faster and with less scaffolding than the standard sequence
• Work with limits, continuity and convergence formally
• Apply linear algebra to systems of equations and linear maps
• Read and write mathematics at the standard expected in later theory-heavy courses

Assessment

• Weekly problem sets25%Proof-based problem sets, harder and faster-paced than the standard first-year sequence.
• Mid-semester test25%A closed-book test on proof technique, limits and linear algebra.
• Final exam50%A comprehensive closed-book exam.

Problem sets are submitted online; the mid-semester test and final exam are in-person and closed-book.

Timetable

Lecture: Thu 11am–12pm, Haydon-Allen G46

3 tutorial option(s) — pick one on the timetable page after enrolling.

• Tutorial A: Tue 1pm–2pm, Haydon-Allen 104
• Tutorial B: Wed 10am–11am, Haydon-Allen 104
• Tutorial C: Fri 3pm–4pm, Haydon-Allen 105

4/4 courses added.