Math

Grade 12

Master Calculus 12

Watch calculus videos, practice with step-by-step problems

I was failing limits until I found StudyPug. The AI helped me nail derivatives. Went from C to A- in three months.

Alex Kim

Why Calculus 12 Students Choose StudyPug

The complete learning system to master Calculus 12

Search with Photo

Upload Calculus 12 problems—AI searches and finds the right lesson teaching the concept

Expert Video Teaching

Certified teachers break down limits, derivatives, and integrals step-by-step

Unlimited Practice

5,000+ teacher-created practice questions prepare you for Calculus 12 exams

Start Learning Now

How British Columbia Students Use StudyPug

1

Select Grade Level

Choose your British Columbia grade (K-12) and current math topics.

2

Get Unstuck

Upload homework problems or browse curriculum-aligned lessons.

3

Practice & Master

Work through similar problems until concepts stick.

4

See Results

Track progress and watch grades improve week by week.

Find the right British Columbia Grade 12 course

Foundations of Mathematics 12

Geometry 12

Pre-Calculus 12

Calculus 12

Statistics 12

Calculus 12 Help: Master Concepts Fast | BCHelp

CC_ID	Content-Elaborations	StudyPug Topic
BC.CE.CA12.1	Functions and graphs: Parent functions from Pre-calculus 12, piecewise functions, inverse trigonometric functions	Function notation (advanced) Composite functions Combining transformations of functions Adding functions Subtracting functions Multiplying functions Dividing functions Inverse functions Transformations of functions: Horizontal translations Transformations of functions: Vertical translations Reflection across the y-axis: y = f(-x) Reflection across the x-axis: y = -f(x) Transformations of functions: Horizontal stretches Transformations of functions: Vertical stretches Operations with functions Even and odd functions Difference quotient: applications of functions One to one functions

BC.CE.CA12.2

Limits: Left and right limits, limits to infinity, continuity, from table of values, graphically, and algebraically, one-sided versus two-sided, end behaviour

Intermediate value theorem

Finding limits from graphs

Continuity

Finding limits algebraically - direct substitution

Finding limits algebraically - when direct substitution is not possible

Infinite limits - vertical asymptotes

Limits at infinity - horizontal asymptotes

Squeeze theorem

l'Hospital's rule

Limit laws

Introduction to Calculus - Limits

BC.CE.CA12.3

Differentiation: Definition of derivative, notation, rate of change, differentiation rules, applications

BC.CE.CA12.4

Integration: Definition of an integral, notation, definite and indefinite integrals, approximations, fundamental theorem of calculus, methods of integration, applications

Antiderivatives

U-Substitution

Trigonometric substitution

Areas between curves

Integration of rational functions by partial fractions

Volumes of solids of revolution - Disc method

Volumes of solid with known cross-sections

Volumes of solid of revolution - Shell method

Average value of a function

Riemann sum

Fundamental theorem of calculus

Improper integrals

Integration by parts

Integration using trigonometric identities

Definite integral

Numerical integration

Complete British Columbia Calculus 12 Coverage

Calculus 12 Lessons

65

Video Explanations

425

Practice Problems

786

Canadian Standards

100% Aligned

Why British Columbia Calculus 12 Students Love StudyPug

Graduation Assessment Prep

Practice with BC graduation assessment-style questions—be ready for exam day

Canadian Certified Teachers

Learn from expert BC teachers who know exactly what you need for Calculus 12

Learn Anywhere

Desktop, tablet, or phone—your Calculus 12 lessons sync across all devices

Get Started Today

Success Stories

Integration was my nightmare. The video lessons made everything click. Aced my final and got into UBC engineering.

Jordan Lee

Homework took forever. The AI finds exact lessons instantly. Cut my calculus study time in half while improving my grade.

Taylor Chen

Frequently Asked Questions

Everything you need to know about mastering Calculus 12 with StudyPug

What does Calculus 12 coverage include?

Complete Calculus 12 curriculum with video lessons on limits, derivatives, and integrals. Includes practice problems, step-by-step solutions, and progress tracking for every topic.

How does the AI photo search work?

Take a photo of any calculus problem, and our AI finds the exact lesson teaching that concept. It's like having a personal tutor who knows exactly what you need.

Are the teachers Canadian certified educators?

Yes! Our teachers are Canadian certified educators who understand BC curriculum and create lessons specifically for Calculus 12 standards.

Can I use StudyPug on my phone or tablet?

Absolutely! StudyPug works on desktop, tablet, and mobile. Your progress syncs automatically so you can learn anywhere, anytime.

How will StudyPug help me prepare for graduation assessments?

We include BC graduation assessment-style practice questions and teach the exact concepts you need. Students report significantly improved test scores and confidence.

How StudyPug Works

Join Today