SFU Math 152 is Calculus II—the continuation of differential calculus (Math 151), focusing on integration, series, and their applications. You've learned how to find derivatives and analyze rates of change; now you'll learn to reverse that process (integration), accumulate quantities, and represent functions as infinite series. Math 152 builds naturally from Math 151, but students often find integration techniques and series convergence surprisingly challenging. Whether you're aiming for an A or just trying to pass, mastering Math 152 requires practice, pattern recognition, and conceptual understanding—not just memorization.
What is covered in SFU Math 152?
Math 152 introduces integral calculus and series with applications across sciences. Topics include:
- Antiderivatives and indefinite integrals: Reversing differentiation and understanding families of functions
- The definite integral: Riemann sums, area under curves, and the Fundamental Theorem of Calculus
- Integration techniques: Substitution, integration by parts, trigonometric integrals, trigonometric substitution, and partial fractions
- Applications of integration: Area between curves, volumes of revolution, arc length, and work problems
- Improper integrals: Handling infinite limits and unbounded functions, convergence tests
- Sequences and series: Convergence and divergence, tests (comparison, ratio, root, integral, alternating series)
- Power series: Taylor and Maclaurin series, radius and interval of convergence, applications to approximation
- Parametric equations and polar coordinates (sometimes): Alternative ways to represent curves
Math 152 is required for most science, engineering, and mathematics programs and prepares you for multivariable calculus (Math 251).
Common challenges students face in Math 152
Choosing the right integration technique
Unlike derivatives, where rules are straightforward, integration requires pattern recognition. Should you use substitution? Integration by parts? Partial fractions? Choosing wrong wastes time and leads to dead ends.
Series and convergence tests
Sequences and series feel abstract compared to geometric integration problems. Memorizing convergence tests without understanding when to use each one leads to confusion.
Speed and accuracy under pressure
Integration takes longer than differentiation. Exams test whether you can solve problems efficiently—not just correctly—and partial credit depends on showing clear logical steps.
Applications feel disconnected
Volumes of revolution and arc length problems require visualizing scenarios and setting up integrals correctly. Many students understand integration mechanics but struggle to translate word problems into mathematical setups.
How Learn4Less helps you succeed in Math 152
Our tutors specialize in SFU's calculus sequence and know exactly where Math 152 students get stuck.
Pattern recognition for integration
We guide you through integration techniques with strategies for recognizing which method to use. You'll learn how to quickly identify the right approach based on the form of the integrand—saving time and avoiding frustration.
Conceptual clarity for series
We explain convergence tests with intuition, not just formulas. You'll understand *why* the ratio test works and *when* to use comparison tests, so you're not just memorizing rules.
Applications with real understanding
From volumes of revolution to arc length, we help you visualize what integrals represent. You'll set up problems confidently and understand why your bounds and integrands are correct.
Math 152 exam and midterm preparation
Math 152 typically has midterms and a final exam. Here's how we prepare you:
Practice with past exams
We work through previous years' exams so you know what question types to expect. You'll see patterns in how integration, series, and applications are tested.
Technique drills
We focus on the integration techniques that appear most often: substitution, integration by parts, and partial fractions. You'll practice until these methods become second nature.
Series convergence mastery
Series typically make up 20-30% of the Math 152 final. We drill you on recognizing which test to use, proving convergence, and finding intervals of convergence for power series.
Why choose Learn4Less for Math 152 tutoring?
First-year specialization
We focus on SFU's first-year calculus courses. Our tutors have guided hundreds of Math 152 students from confusion to confidence.
Familiarity with SFU exams
We know how SFU professors structure Math 152 exams, what they emphasize, and what mistakes students commonly make. We tailor our sessions to the specific demands of SFU's curriculum.
Flexible learning options
Choose in-person tutoring near UBC or online sessions that work perfectly for SFU students. Need help before a specific exam? Book a targeted prep session. Prefer ongoing support? Weekly sessions keep you on track.
Video study packages
Can't commit to live tutoring? Our video packages walk you through key Math 152 topics at your own pace—perfect for review before exams.
Frequently Asked Questions
Do I need Math 151 to take Math 152?
Yes. Math 152 assumes you're comfortable with derivatives, limits, and the Fundamental Theorem of Calculus. If you skipped Math 151 (e.g., through AP credit), make sure you review differentiation before starting Math 152.
Is Math 152 harder than Math 151?
It depends. Some students find integration harder because it's less mechanical than differentiation. Others find Math 152 easier because the concepts feel more concrete (area, volume) compared to abstract derivatives. Either way, consistent practice is key.
How much do series count on the final?
Series typically make up 20-30% of the Math 152 final exam. Don't ignore this section—it's often where students lose easy marks because they didn't practice convergence tests enough.
What's the difference between Math 152 and Math 155/158?
Math 152 is the standard Calculus II for most science and engineering programs. Math 155 is tailored to life sciences students, and Math 158 is for social sciences students—both have different applications. Check your program requirements.
When should I start studying for the Math 152 final?
Start at least two weeks before the exam. The final is cumulative, covering everything from antiderivatives to series. Leaving it to the last minute means you won't have time to practice all integration techniques and convergence tests thoroughly.