Toronto mathematics.
Master the method.
Start with 7 days free in the Woody Calculus Mastery Lab.
Video lessons. Complete worked solutions. Direct guidance. Bring your Toronto course and the problem you are working on. Learn how to choose the method, explain the setup, and work independently.
7 days free, then $89/month. Private one-on-one sessions are separate.
Look inside the Mastery Lab Explore private one-on-one instruction ↓Mathematics support for Toronto
Find your subject, then bring your course and current question to the Mastery Lab.
- Calculus IIIntegration, applications, and infinite series
- Calculus IIIMultivariable and vector calculus
- Differential EquationsODE methods, systems, and models
- Linear AlgebraMatrices, vector spaces, and transformations
- Abstract AlgebraGroups, rings, fields, and proofs
- Real AnalysisLimits, convergence, and rigorous calculus
- Galois TheoryField extensions and polynomial symmetry
- Number TheoryPrimes, congruences, and integer equations
Start with your course: MAT 136H1 / 149H1 for the second calculus stage, then find your multivariable or differential-equations route below.
Look inside the Mastery Lab.
See the subject classrooms, complete worked solutions, and ways to ask Woody for help. Find out how to turn the Lab into a study routine for your current Toronto course.
Watch on YouTube if the player does not load
See every step.
See the setup, method choice, solution, and checks. Learn what to look for when a new problem changes the details.
Ask Woody.
Get direct chat guidance, community support, and live Q&A when available. Bring the step you cannot explain.
Build independence.
Train pattern recognition, clean setup, formula fluency, and proof writing through structured practice.
Explore the lessons, study a worked solution, and bring Woody your next question.
7 days free, then $89/month.
Know the first step.
Understand the next one.
This Toronto guide follows the St. George Faculty of Arts & Science course calendar.
The H1 and Y1 suffixes matter. MAT 136H1 and 149H1 distinguish Calculus II from its proof-focused option; the current vector-calculus listings include 235H1 and 236H1. Bring the full code, especially if you study at UTM, UTSC, or in Engineering.
MAT 240H1 and 247H1 are titled Algebra I and II but develop linear algebra. Later 347Y1 and 401H1 explicitly include Galois theory. Use the Lab to connect the course’s definitions, examples, and proof expectations to the problem in front of you.
Bring one question. Build a method.
- Calculus II: What clue suggests the technique?
- Calculus III: What does the region look like?
- Differential equations: Which method fits the structure?
- Proofs: What do the assumptions let you establish?
Bring your course number, current assignment, and next exam date. Practice the reasoning, then test it independently.
Know your course.
Build the method behind it.
Find the course you are taking. Open its details for Toronto’s course names, numbers, and focused ways to prepare.
Calculus II
For MAT 136H1 and related options below: choose the technique before doing the algebra. Build a repeatable process for integrals, applications, and series.
With Woody: Explain the clue, choose a method, and check the result.
Course details and topics
- MAT 136H1 — Calculus II
- MAT 149H1 — Calculus II with Proofs
- Substitution and integration by parts
- Trigonometric substitution and partial fractions
- Volumes by shells and washers
- Improper integrals and convergence tests
- Taylor series and approximation
Calculus III & Vector Calculus
For MAT 235H1 and related options below: turn a picture into a setup you can explain. Practice coordinates, bounds, and the meaning of each integral.
With Woody: Draw the region, label the variables, and justify the theorem you use.
Course details and topics
- MAT 235H1 — Vector Calculus I
- MAT 236H1 — Vector Calculus II
- MAT 237Y1 — Multivariable Calculus with Proofs
- MAT 257Y1 — Analysis II
The calendar lists Vector Calculus I and II as MAT 235H1 and 236H1, alongside proof-focused routes. Use your own syllabus.
- Partial derivatives and the chain rule
- Optimization
- Double and triple integrals
- Line and surface integrals
- Green, Stokes, and divergence theorems
Differential Equations
For MAT 244H1 and related options below: an equation becomes more manageable when you recognize its structure. Train the first decision before memorizing steps.
With Woody: Identify the equation type, solve systematically, and verify the initial conditions.
Course details and topics
- MAT 244H1 — Introduction to Ordinary Differential Equations
- MAT 267H1 — Advanced Ordinary Differential Equations
- First-order methods
- Higher-order linear equations
- Systems and eigenvalues
- Laplace transforms where assigned
- Qualitative behavior and stability
Linear Algebra
For MAT 223H1 and related options below: connect the calculation to the concept. Row reduction matters more when you understand what it says about the system or transformation.
With Woody: Translate between matrices, equations, vector spaces, and proofs.
Course details and topics
- MAT 223H1 — Linear Algebra I
- MAT 224H1 — Linear Algebra II
- MAT 240H1 — Algebra I
- MAT 247H1 — Algebra II
MAT 240H1 and 247H1 are Algebra I and II titles covering linear algebra.
- Linear systems and row reduction
- Span, independence, and bases
- Linear transformations
- Eigenvalues and diagonalization
- Inner products and orthogonality
Abstract Algebra
For MAT 301H1 and related options below: work from the definitions and make every implication explicit. Build proofs that establish exactly what the question asks.
With Woody: Identify the structure, unpack the assumptions, and choose the theorem that fits.
Course details and topics
- MAT 301H1 — Groups and Symmetries
- MAT 347Y1 — Groups, Rings and Fields
- MAT 401H1 — Polynomial Equations and Fields
- Groups and subgroups
- Homomorphisms and quotients
- Rings and ideals
- Fields and polynomials
- Direct proof and counterexamples
Real Analysis & Advanced Calculus
For MAT 257Y1 and related options below: move from a familiar calculus fact to a precise argument. Practice controlling quantities and checking every hypothesis.
With Woody: Write the target statement first, then build the estimates and logical steps.
Course details and topics
- MAT 257Y1 — Analysis II
- MAT 337H1 — Introduction to Real Analysis
- Sequences and limits
- Continuity and compactness
- Epsilon arguments
- Differentiation and integration
- Convergence of functions
Galois Theory
For MAT 347Y1 and related options below: connect field extensions with the symmetries of polynomial roots. Keep the fields, groups, and maps clearly labeled.
With Woody: Draw the field relationships and explain how the correspondence applies.
Course details and topics
- MAT 347Y1 — Groups, Rings and Fields
- MAT 401H1 — Polynomial Equations and Fields
Both MAT 347Y1 and 401H1 explicitly include Galois theory.
- Field extensions and degrees
- Minimal and irreducible polynomials
- Splitting fields
- Automorphisms and fixed fields
- Galois correspondence
Number Theory
For MAT 315H1: learn to move between arithmetic examples and general arguments. A clean congruence calculation should lead to a justified conclusion.
With Woody: State the divisibility claim, select the tool, and explain why it works.
Course details and topics
- MAT 315H1 — Introduction to Number Theory
- Divisibility and the Euclidean algorithm
- Congruences
- Prime factorization
- Integer equations
- Proofs using arithmetic structure
Course names and numbers checked against official university sources on 2026-09-25. Honors and graduate options are identified below. Follow your syllabus for the topics and current offering of your section.
Official course references
Make progress on this week’s topic.
Open the Lab, study the method, and ask your next question.
Recognize the pattern.
Choose the method.
Do the work.
A solution can look clear while you are reading it and still be hard to reproduce. Train the decisions that connect one step to the next, then apply them to a different problem.
Build clean setup, formula fluency, and complete reasoning alongside your calculations. The same habits support an integration problem, a matrix computation, or a proof.
Read Woody’s complete study method →-
Bring your current Toronto work.
Start with your course number, syllabus, current problem, and next exam date. Choose the lesson that addresses the decision you need to understand.
-
Explain the first decision.
For an integral, name the clue that suggests the technique. For a differential system, explain the matrix setup. For a proof, identify what you know and what you must show.
-
Rehearse the reasoning.
Reproduce a complete solution 3–5 times while saying the steps aloud. Compare your work, correct errors, and explain why each step is valid.
-
Solve a fresh problem.
Put the example away and try another problem. Bring Woody the precise step that stops you, then return to the work and apply what you learned.
Give your free trial a purpose.
Start with one Toronto problem.
Choose a problem you need to understand this week. Watch a complete solution, explain the setup, and practice the method. Use your questions to guide your next step.
- Find your subject. Match your Toronto topic to a lesson.
- Study a complete solution. Follow the choices as well as the calculations.
- Ask Woody. Bring the step you cannot yet explain.
- Test your understanding. Solve a new problem without the example.
7 days free, then $89/month. Private sessions are separate.
Private instruction for Toronto students.
Work one-on-one with Woody, backed by 25+ years teaching university mathematics. Develop your understanding, study habits, and exam strategy in Calculus II and above, differential equations, linear algebra, abstract algebra, real analysis, Galois theory, or number theory.
Get weekly one-on-one guidance, personalized exam strategy, detailed feedback, and accountability for your course.
Begin in the Mastery Lab. Students in Calculus II, Calculus III, Differential Equations, Linear Algebra, Abstract Algebra, Real Analysis, Galois Theory, Number Theory, and related advanced courses may then apply for individual instruction.
Private sessions are separate from membership and carry a premium fee. Availability is limited, application and approval are required, and Lab enrollment does not guarantee a private place.
Have a question about the right next step? Contact Woody directly.
- Join the Mastery Lab.
- Bring your course and goals.
- Apply for weekly private sessions.
Already a Lab member? Read the private instruction details.
Know what you are joining.
Where should I start if I need a Toronto calculus tutor?
Start your 7-day free trial in the Mastery Lab. Choose the topic you need this week, study a complete example, and try another problem. Ask Woody about the step you cannot yet explain.
Does this guide use the same course numbers for every University of Toronto campus?
No. The main references are St. George Arts & Science courses with H1 or Y1 suffixes. Bring your full UTM, UTSC, or Engineering course code and syllabus to match the mathematics accurately.
Can I get help with volumes by shells and washers?
Yes. Draw the region and axis of rotation first, then compare a slice perpendicular to the axis with a shell parallel to it. Explain your radius, height, and bounds before integrating.
Do you help with advanced mathematics and proofs?
Yes. Linear algebra, abstract algebra, real analysis, Galois theory, and number theory are core areas of Woody’s instruction. For advanced or graduate courses, bring the syllabus and specific topic to check the fit.
What does the Mastery Lab include, and what does it cost?
Start with 7 days free, then $89 per month. Membership includes subject video lessons, complete worked solutions, community support, direct chat guidance, and live Q&A when scheduled. Private one-on-one sessions are separate.
Does every course number have its own recorded classroom?
Available recordings vary by subject and topic. Course references identify mathematics you can bring to Woody; they do not promise a separate recording archive for every class. Use the tour and trial to see how the resources fit your syllabus.
Is private instruction available for Toronto students?
Yes, with limited availability. Join the Mastery Lab first, then apply for weekly private instruction. Sessions have a separate premium fee and require available space and approval. Membership does not guarantee a private place.
What if I need help with Calculus I or an earlier course?
Woody recommends Blue Hovatter for private tutoring through Calculus I. You can also review the earlier calculus resources linked below.
Is Woody Calculus affiliated with University of Toronto?
No. Woody Calculus is an independent education service, not affiliated with, sponsored by, or endorsed by the university. Course references identify the students and subjects served.
Build the foundation for what comes next.
For prerequisite review, explore the Calculus I resources. MAT 135H1 or MAT 148H1 is an earlier calculus foundation; Woody’s main instruction here starts with Calculus II.
Need private tutoring through Calculus I? Woody recommends Blue.
For college algebra, trigonometry, precalculus, and Calculus I, explore private tutoring with Blue Hovatter.
Visit Blue’s tutoring website →Explore the idea behind the method.
Use the Math Library for explanations and connections, then return to your current Toronto problem.
Course and study resources
- University of Toronto Calculus Tutor for MAT136H1, MAT235H1, MAT236H1, and MAT244H1
- Calculus II
- Calculus III and Multivariable Calculus
- Differential Equations
- Linear Algebra
- Abstract Algebra
- Real Analysis
- 5-star reviews on Google
- Private Mathematics Professor
- U of T Calculus I Help — MAT135H1 Calculus I
- Taylor Series in Calculus II
- Gabriel’s Horn and applications of integration
- Euler’s Identity and the beauty behind complex numbers
- Line Integrals and Vector Fields
- the Möbius Strip, orientation, and vector calculus
- Eigenvalues and Eigenvectors Explained
- Laplace Transforms Explained
- Fourier Series Explained
- Galois Theory and the hidden symmetry of equations
- the Cantor Set and the foundations of real analysis
- How to Learn Calculus and Advanced Mathematics: A Peak Performance Study Guide
- Chaos Theory Explained: The Butterfly Effect, Lorenz System, and Lyapunov Exponents
- View All Woody Calculus Blog Posts
- Universities Supported by Woody Calculus
- Calculus
Other universities supported
Official references and student reviews
Learn the method.
Bring it to your Toronto work.
Start with the question you need to understand. Follow the reasoning, ask Woody, and put the method into practice. Your first seven days in the Mastery Lab are free.
7 days free, then $89/month.