SFU Math 125 is the first course in a two-part sequence introducing mathematical methods for physical sciences students. It combines calculus, linear algebra, and differential equations—all tailored to physics, chemistry, and engineering applications. Unlike the standard calculus sequence (Math 151/152), Math 125 integrates multiple mathematical tools from the start, showing you how they work together to solve real-world problems in physics. If you're in a physical sciences program and want to see math and physics deeply connected, Math 125 is designed for you.
What is covered in SFU Math 125?
Math 125 introduces mathematical methods with applications to physical sciences. Topics include:
- Functions and limits: Review and extension to functions relevant in physics
- Derivatives: Single-variable differentiation, including applications to motion, forces, and rates of change
- Integration: Definite and indefinite integrals, techniques, and applications to physics (work, area, displacement)
- Vectors: Vector algebra, dot products, cross products, and applications to forces and motion
- Linear systems and matrices: Solving systems of equations, matrix operations, and applications
- Differential equations: First-order and second-order ODEs with applications to oscillations, circuits, and decay
- Series and approximations: Taylor series and approximations for physical functions
- Complex numbers (introduction): Basics of complex arithmetic relevant to physical applications
Math 125 is the first half of a two-course sequence, followed by Math 126, and is designed for students in physics, chemistry, and related physical sciences.
Common challenges students face in Math 125
Fast pace integrating multiple topics
Math 125 doesn't separate calculus, linear algebra, and differential equations into distinct courses. You're learning all three simultaneously, which can feel overwhelming.
Physics applications dominate
Every mathematical concept is immediately applied to physics problems. If you're not comfortable with physics, the applications can feel disconnected from the math.
Differential equations early
You're introduced to differential equations much earlier than in standard calculus courses. Solving ODEs requires understanding both derivatives and integration, which some students find challenging.
Vectors and matrices alongside calculus
You're learning vector operations and matrix algebra while also learning integration techniques. Keeping all the concepts organized requires strong study habits.
How Learn4Less helps you succeed in Math 125
Our tutors understand both the mathematics and the physical sciences applications.
Integrated understanding
We help you see how calculus, linear algebra, and differential equations connect. You'll understand why these tools are taught together and how they're used in physics.
Step-by-step problem solving
From integrating physics functions to solving differential equations, we walk you through problems systematically. You'll learn efficient techniques and how to apply them in physical contexts.
Physics context clarity
We explain the physics behind the math. When you're solving differential equations for oscillations or using vectors for forces, you'll understand the physical meaning—not just the calculation.
Math 125 exam and midterm preparation
Math 125 typically has midterms and a final exam covering all major topics. Here's how we prepare you:
Comprehensive review
Since Math 125 covers calculus, linear algebra, and differential equations, we help you review all topics systematically.
Practice with physics applications
We focus on application problems relevant to physical sciences: motion, forces, oscillations, and circuits.
Past exam practice
We work through previous years' exams so you know what problem types to expect and how to manage time effectively.
Why choose Learn4Less for Math 125 tutoring?
First-year specialization
We focus on SFU's first-year math courses, including Math 125. Our tutors understand the integrated approach and physics applications.
Experience with SFU curricula
We're familiar with SFU's Math 125 syllabus, typical textbooks, and exam styles. We tailor our sessions to what SFU professors emphasize.
In-person near UBC + online options
We offer in-person tutoring near UBC and online sessions that work for SFU students. Our online sessions include screen sharing and real-time problem solving.
Video study packages
Our video packages cover key Math 125 topics—perfect for reviewing before exams.
Frequently Asked Questions
What's the difference between Math 125 and Math 151?
Math 125 is designed for physical sciences students and integrates calculus, linear algebra, and differential equations with physics applications. Math 151 is a standard Calculus I course focusing just on differential calculus. Math 125 is more comprehensive but specific to physical sciences.
Can I take Math 151 instead of Math 125?
Check your program requirements. Some physical sciences programs allow Math 151 as an alternative, but Math 125 is often preferred because it's tailored to physics applications and covers more material.
Do I need physics knowledge to succeed in Math 125?
Not necessarily, but it helps. Math 125 uses physics examples constantly, so familiarity with basic mechanics, forces, and motion makes the course easier. If you're taking physics concurrently, the two courses reinforce each other.
Is Math 125 harder than Math 151?
Math 125 covers more material and moves faster, which makes it more challenging. But if you're a physical sciences student, the integrated approach and physics context can make the material more intuitive.
When should I get a tutor for Math 125?
As soon as you feel behind or confused. Math 125 moves quickly and covers a lot of ground. Falling behind makes the later topics (differential equations, series) very difficult. Proactive tutoring helps you stay on top of the fast pace.