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SFU MATH 155: Mathematics for the Life Sciences II

SFU Math 155 is the continuation of Math 154, completing the two-course calculus sequence for life sciences students. Building on the differential and integral calculus you learned in Math 154, this course introduces multivariable calculus, systems of differential equations, and advanced modeling techniques—all with applications to biology, ecology, and health sciences. From modeling predator-prey systems to understanding drug interactions, Math 155 gives you the mathematical tools to analyze complex biological phenomena that depend on multiple variables.

What is covered in SFU Math 155?

Math 155 extends calculus with advanced applications to life sciences. Topics include:

  • Functions of several variables: Visualizing surfaces and understanding biological systems with multiple inputs
  • Partial derivatives: Computing derivatives with respect to multiple variables in biological contexts
  • Optimization with multiple variables: Finding maxima and minima in systems with several factors (e.g., resource allocation)
  • Systems of differential equations: Modeling interactions between multiple populations (predator-prey, competition, mutualism)
  • Phase plane analysis: Understanding long-term behavior of biological systems graphically
  • Linear algebra basics: Matrices and systems of equations relevant to biological models
  • Probability and statistics (introduction): Using calculus to work with continuous distributions
  • Discrete models: Difference equations and matrix models for population dynamics
  • Numerical methods: Approximating solutions when exact methods aren't possible

Math 155 is required for many upper-level biology, ecology, and health sciences courses and completes the calculus sequence for life sciences students.

Common challenges students face in Math 155

Multivariable thinking

You're no longer working with functions of one variable. Systems with multiple variables (temperature, nutrient concentration, population size) require thinking in higher dimensions.

Systems of differential equations

Modeling interactions between two or more populations (predator and prey, competing species) requires setting up and solving systems of equations—more complex than single differential equations.

Phase plane analysis

Understanding the long-term behavior of biological systems graphically (equilibrium points, stability) feels abstract. Many students struggle to connect phase planes to real biological scenarios.

Balancing breadth

Math 155 covers multivariable calculus, differential equations, linear algebra, and probability—all in one semester. The breadth of material can feel overwhelming.

How Learn4Less helps you succeed in Math 155

Our tutors understand both the advanced mathematics and the life sciences applications.

Multivariable intuition

We help you visualize functions of several variables and understand how partial derivatives represent rates of change in multi-factor systems.

Systems of differential equations

We walk you through setting up and solving systems for predator-prey models, competition, and other biological interactions. You'll learn analytical and graphical methods.

Phase plane analysis

We explain equilibrium points, stability, and long-term behavior with biological context. You'll understand what phase planes reveal about population dynamics.

Math 155 exam and midterm preparation

Math 155 typically has midterms and a final exam. Here's how we prepare you:

Comprehensive review

Math 155 builds on Math 154 and adds new topics. We review foundational calculus while focusing on new material like systems of differential equations and multivariable optimization.

Practice with biological systems

We focus on application problems: predator-prey systems, resource allocation, and drug interaction models.

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 155 tutoring?

Experience with life sciences calculus

Our tutors understand the mathematics and biological applications covered in Math 155. We've helped many life sciences students succeed.

Familiar with SFU curricula

We know SFU's Math 155 syllabus, typical textbooks, and exam formats. 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 155 topics with biological examples—perfect for reviewing before exams.

Frequently Asked Questions

Do I need Math 154 to take Math 155?

Yes. Math 155 assumes you're comfortable with derivatives, integrals, and differential equations from Math 154. If you haven't completed Math 154 (or equivalent), you'll struggle.

What's the difference between Math 155 and Math 152/251?

Math 155 is the second course in the life sciences calculus sequence, covering multivariable calculus, systems of differential equations, and biological modeling. Math 152 is Calculus II (integral calculus), and Math 251 is Calculus III (multivariable calculus)—both focused on physical sciences. Math 155 integrates topics specifically for life sciences.

Is Math 155 harder than Math 154?

Math 155 introduces more abstract concepts (multivariable calculus, systems of equations) and requires stronger visualization skills. If you found Math 154 challenging, Math 155 will also be demanding. But if you enjoyed the biological applications, Math 155 is a natural continuation.

Can I take Math 151/152/251 instead of Math 154/155?

Check your program requirements. Some life sciences programs accept the standard calculus sequence, but Math 154/155 is often preferred because it's tailored to biological applications.

When should I get a tutor for Math 155?

As soon as you struggle with partial derivatives, systems of differential equations, or phase plane analysis. The course covers a lot of material, and falling behind makes catching up very difficult. Proactive tutoring helps you stay on top of the breadth of topics.

Ready to Excel in MATH 155?

Book a session with our expert tutors and get personalized help with mathematics for the life sciences ii.

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