SFU Math 126 is the continuation of Math 125, completing the two-course sequence on mathematical methods for physical sciences. Building on the calculus, linear algebra, and differential equations you learned in Math 125, this course goes deeper into multivariable calculus, vector calculus, and advanced differential equations—all with direct applications to physics, chemistry, and engineering. If Math 125 gave you the foundational tools, Math 126 shows you how to use them to solve complex problems in three dimensions and beyond.
What is covered in SFU Math 126?
Math 126 extends mathematical methods with applications to physical sciences. Topics include:
- Multivariable calculus: Functions of several variables, partial derivatives, and gradient
- Multiple integrals: Double and triple integrals with applications to mass, center of mass, and moments
- Vector calculus: Line integrals, surface integrals, divergence, curl, and flux
- Fundamental theorems: Green's Theorem, Stokes' Theorem, and the Divergence Theorem with physical interpretations
- Systems of differential equations: Solving systems of ODEs, eigenvalue methods, and phase plane analysis
- Fourier series: Representing periodic functions and applications to heat and wave equations
- Partial differential equations (introduction): Heat equation, wave equation, and applications to physics
- Complex analysis (introduction): Complex functions and their applications to physical problems
Math 126 is required for many physics, chemistry, and engineering programs and prepares you for upper-level courses in mathematical physics.
Common challenges students face in Math 126
Visualization in 3D
Multivariable calculus requires visualizing surfaces, regions in 3D space, and vector fields. Many students find this spatial reasoning challenging.
Vector calculus feels abstract
Concepts like divergence, curl, and flux are powerful but abstract. Understanding what they represent physically (and when to use them) takes time.
Integration in multiple dimensions
Double and triple integrals require setting up correct bounds, choosing coordinate systems (Cartesian, cylindrical, spherical), and computing iterated integrals—all while avoiding setup mistakes.
Pace builds on Math 125
Math 126 assumes you've mastered Math 125 material. If you're shaky on differential equations or single-variable calculus, the multivariable topics will feel overwhelming.
How Learn4Less helps you succeed in Math 126
Our tutors have strong backgrounds in multivariable calculus and physical sciences applications.
Visualization and intuition
We help you visualize 3D surfaces, regions of integration, and vector fields. You'll develop geometric intuition that makes abstract concepts concrete.
Step-by-step problem solving
From setting up triple integrals to applying Stokes' Theorem, we walk you through problems systematically. You'll learn how to choose coordinates, set bounds correctly, and compute efficiently.
Physics context clarity
We explain what divergence, curl, and flux mean physically. You'll understand not just *how* to compute them, but *why* they matter in physics and engineering.
Math 126 exam and midterm preparation
Math 126 typically has midterms and a final exam. Here's how we prepare you:
Comprehensive review
Math 126 builds on Math 125, so we review both courses systematically, ensuring you're solid on foundations.
Vector calculus focus
Line integrals, surface integrals, and the fundamental theorems dominate the second half of the course. We drill you on applying these concepts in physics contexts.
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 126 tutoring?
Experience with mathematical physics
Our tutors understand multivariable calculus and its applications to physical sciences. We've helped many Math 126 students succeed.
Familiar with SFU curricula
We're familiar with SFU's Math 126 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 126 topics with visual explanations—perfect for reviewing before exams.
Frequently Asked Questions
Do I need Math 125 to take Math 126?
Yes. Math 126 assumes you're comfortable with single-variable calculus, linear algebra, and basic differential equations from Math 125. If you haven't completed Math 125 (or equivalent), you'll struggle.
What's the difference between Math 126 and Math 152/251?
Math 126 is the second half of the mathematical methods sequence for physical sciences, integrating multivariable calculus, vector calculus, and differential equations. Math 152 is Calculus II (integral calculus), and Math 251 is Calculus III (multivariable calculus). Math 126 is more comprehensive and physics-focused.
Is Math 126 harder than Math 125?
Math 126 introduces more abstract concepts (vector calculus, PDEs) and requires stronger visualization skills. If you found Math 125 challenging, Math 126 will also be demanding. But if you enjoyed the integrated approach, Math 126 is a natural continuation.
Can I take Math 151/152/251 instead of Math 125/126?
Check your program requirements. Some physical sciences programs accept the standard calculus sequence, but Math 125/126 is often preferred because it's tailored to physics and covers more material in an integrated way.
When should I get a tutor for Math 126?
As soon as you struggle with partial derivatives, setting up multiple integrals, or visualizing 3D regions. The course builds quickly, and falling behind makes the later topics (vector calculus, PDEs) nearly impossible. Proactive tutoring helps you stay on top of the material.