SFU Math 113 is an introduction to Euclidean geometry—a course that goes back to the classical foundations of geometry, exploring concepts that have been studied for over two thousand years. Unlike high school geometry, which often focuses on memorizing formulas and solving computational problems, Math 113 emphasizes rigorous proofs, axiomatic systems, and logical reasoning. It's designed for students interested in mathematics, education (especially future math teachers), or anyone who wants to understand the logical structure of geometry deeply. If you enjoy abstract thinking and proving theorems, Math 113 offers a fascinating journey into one of math's oldest fields.
What is covered in SFU Math 113?
Math 113 introduces Euclidean geometry with an emphasis on proofs and logical reasoning. Topics include:
- Axiomatic systems: Understanding Euclid's axioms and postulates as the foundation of geometry
- Congruence and similarity: Proving when triangles and other shapes are congruent or similar
- Parallel lines and angles: Theorems about parallel lines, transversals, and angle relationships
- Triangles: Properties, special points (centroid, circumcenter, orthocenter, incenter), and classical theorems
- Circles: Tangent lines, chords, inscribed angles, and circle theorems
- Polygons and area: Properties of polygons, area formulas, and proofs of area relationships
- Pythagorean Theorem: Multiple proofs and applications
- Constructions: Classical compass-and-straightedge constructions and their theoretical foundations
- Introduction to non-Euclidean geometry (sometimes): Exploring what happens when Euclid's parallel postulate is changed
Math 113 is often taken by mathematics majors, future math teachers, or students interested in the theoretical side of geometry.
Common challenges students face in Math 113
Proof-writing is central
Unlike computational math courses, Math 113 is heavily proof-based. If you've never written geometric proofs before, learning to structure logical arguments is a major challenge.
Abstract thinking required
You're not just computing angles or areas—you're proving why theorems are true. This requires stepping back from computation and thinking about logical relationships.
Notation and terminology
Geometric proofs use specific notation (congruence symbols, angle notation, etc.) and terminology (e.g., "corresponding parts," "inscribed angles"). Keeping definitions straight is essential.
Visualizing complex figures
Some proofs require constructing auxiliary lines, identifying hidden relationships, or visualizing transformations. Spatial reasoning skills are crucial.
How Learn4Less helps you succeed in Math 113
Our tutors have strong backgrounds in mathematical reasoning and understand the demands of proof-based geometry.
Proof-writing guidance
We teach you how to structure geometric proofs: how to start (given information), what to use (axioms, theorems), and how to write clear, logical arguments.
Conceptual clarity
We help you understand the *why* behind theorems: why the Pythagorean Theorem works, why inscribed angles have specific properties, and how axiomatic systems function.
Visualization strategies
We help you develop spatial reasoning skills and teach you how to identify key relationships in complex geometric figures.
Math 113 exam and midterm preparation
Math 113 typically has midterms and a final exam, all proof-heavy. Here's how we prepare you:
Proof practice
We work through classic geometric proofs so you understand the structure and logic. You'll practice writing proofs under time pressure.
Core theorem mastery
Theorems about triangles, circles, and parallel lines appear frequently. We ensure you understand them deeply and can use them in proofs.
Construction and reasoning
We practice geometric constructions and the reasoning behind why they work, which often appears on exams.
Why choose Learn4Less for Math 113 tutoring?
Strong mathematical backgrounds
Our tutors have experience with proof-based mathematics and understand the theoretical demands of Math 113.
Experience with SFU courses
We're familiar with SFU's Math 113 syllabus, typical textbooks, and exam styles. We tailor our sessions to what SFU professors emphasize.
Flexible learning options
Choose in-person tutoring near UBC or online sessions. Need help before a specific midterm? Book a targeted prep session. Want consistent support? Weekly tutoring keeps you on track.
Video study packages
Our video packages cover key Math 113 topics with proof walkthroughs—perfect for reviewing before exams.
Frequently Asked Questions
Is Math 113 required for any programs at SFU?
Math 113 is not typically required for most programs, but it's recommended for mathematics majors and students in the Faculty of Education (especially future math teachers). Check your program requirements.
Do I need calculus to take Math 113?
No. Math 113 is independent of calculus. It focuses on geometry and proofs, not derivatives or integrals. You can take it alongside or before calculus courses.
Is Math 113 harder than calculus courses?
It's differently challenging. Math 113 is proof-heavy and abstract, while calculus courses are more computational. If you enjoy logical reasoning and proofs, you might find Math 113 easier than calculus. If you prefer computation, calculus might suit you better.
Can Math 113 help me with high school math teaching?
Yes! Math 113 is excellent preparation for teaching high school geometry. It gives you deep understanding of the logical structure behind geometric concepts, which makes you a better teacher.
When should I get a tutor for Math 113?
As soon as you struggle with writing proofs or understanding axiomatic reasoning. Proof-writing skills take time to develop, and falling behind makes catching up difficult. Proactive tutoring helps you build strong foundations early.