Woody Calculus · Tufts University studentsFrom Calculus II to advanced proofs

Tufts mathematics.
Master the method.

Start with 7 days free in the Woody Calculus Mastery Lab.

Video lessons. Complete worked solutions. Direct guidance. Bring your Tufts course and the problem you are working on. Learn how to choose the method, explain the setup, and work independently.

Start Your 7-Day Free Trial

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 Tufts

Find your subject, then bring your course and current question to the Mastery Lab.

Start with your course: MATH 34 for the second calculus stage, then find your multivariable or differential-equations route below.

See what you are joining · 10-minute walkthrough

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 Tufts course.

Woody’s guided tour of the Mastery Lab.
Watch on YouTube if the player does not load
01

See every step.

See the setup, method choice, solution, and checks. Learn what to look for when a new problem changes the details.

02

Ask Woody.

Get direct chat guidance, community support, and live Q&A when available. Bring the step you cannot explain.

03

Build independence.

Train pattern recognition, clean setup, formula fluency, and proof writing through structured practice.

Put the Lab to work on your own course.

Explore the lessons, study a worked solution, and bring Woody your next question.

Start Your 7-Day Free Trial

7 days free, then $89/month.

From your Tufts course to your next study session

Know the first step.
Understand the next one.

Tufts separates introductory analysis from its two-course real-analysis sequence.

MATH 134 offers one route into rigorous calculus, while 135 and 136 develop Real Analysis I and II. Bring your course number so the explanation fits the depth of the argument you need.

For MATH 34, 42, or 51, start with the integration, multivariable, or differential-equations decision that is slowing you down. Later, 145/146 abstract algebra extends the same habit of justifying each step; 146 includes field extensions and Galois theory.

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.

Tufts University course guide

Know your course.
Build the method behind it.

Find the course you are taking. Open its details for Tufts’s course names, numbers, and focused ways to prepare.

MATH 34

Calculus II

For MATH 34: 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
  • MATH 34 — Calculus II
Topics to prepare
  • Substitution and integration by parts
  • Trigonometric substitution and partial fractions
  • Volumes by shells and washers
  • Improper integrals and convergence tests
  • Taylor series and approximation
More Calculus II resources →
MATH 42

Calculus III & Vector Calculus

For MATH 42: 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
  • MATH 42 — Calculus III
Topics to prepare
  • Partial derivatives and the chain rule
  • Optimization
  • Double and triple integrals
  • Line and surface integrals
  • Green, Stokes, and divergence theorems
More Calculus III & Vector Calculus resources →
MATH 51 / 153 / 155 / 156

Differential Equations

For MATH 51 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
  • MATH 51 — Differential Equations
  • MATH 153 — Ordinary Differential Equations
  • MATH 155 — Partial Differential Equations I
  • MATH 156 — Partial Differential Equations II
Topics to prepare
  • First-order methods
  • Higher-order linear equations
  • Systems and eigenvalues
  • Laplace transforms where assigned
  • Qualitative behavior and stability
More Differential Equations resources →
MATH 70

Linear Algebra

For MATH 70: 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
  • MATH 70 — Linear Algebra
Topics to prepare
  • Linear systems and row reduction
  • Span, independence, and bases
  • Linear transformations
  • Eigenvalues and diagonalization
  • Inner products and orthogonality
More Linear Algebra resources →
MATH 145 / 146

Abstract Algebra

For MATH 145 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
  • MATH 145 — Abstract Algebra I
  • MATH 146 — Abstract Algebra II
Topics to prepare
  • Groups and subgroups
  • Homomorphisms and quotients
  • Rings and ideals
  • Fields and polynomials
  • Direct proof and counterexamples
More Abstract Algebra resources →
MATH 134 / 135 / 136

Real Analysis & Advanced Calculus

For MATH 134 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
  • MATH 134 — Introduction to Analysis
  • MATH 135 — Real Analysis I
  • MATH 136 — Real Analysis II
Topics to prepare
  • Sequences and limits
  • Continuity and compactness
  • Epsilon arguments
  • Differentiation and integration
  • Convergence of functions
More Real Analysis & Advanced Calculus resources →
MATH 146

Galois Theory

For MATH 146: 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
  • MATH 146 — Abstract Algebra II

MATH 146 explicitly includes Galois theory.

Topics to prepare
  • Field extensions and degrees
  • Minimal and irreducible polynomials
  • Splitting fields
  • Automorphisms and fixed fields
  • Galois correspondence
More Galois Theory resources →
MATH 63

Number Theory

For MATH 63: 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
  • MATH 63 — Number Theory
Topics to prepare
  • Divisibility and the Euclidean algorithm
  • Congruences
  • Prime factorization
  • Integer equations
  • Proofs using arithmetic structure
More Number Theory resources →

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.

Start Your 7-Day Free Trial
Turn a worked solution into a method you own

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 →

  1. Bring your current Tufts work.

    Start with your course number, syllabus, current problem, and next exam date. Choose the lesson that addresses the decision you need to understand.

  2. 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.

  3. 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.

  4. 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.

Make your first seven days useful

Give your free trial a purpose.
Start with one Tufts 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.

  1. Find your subject. Match your Tufts topic to a lesson.
  2. Study a complete solution. Follow the choices as well as the calculations.
  3. Ask Woody. Bring the step you cannot yet explain.
  4. Test your understanding. Solve a new problem without the example.
Start Your 7-Day Free Trial

7 days free, then $89/month. Private sessions are separate.

More about the Mastery Lab and membership

Woody Calculus mathematics support for Tufts students
Tufts mathematics support: from calculus methods to advanced proofs.
When you want individual instruction

Private instruction for Tufts 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.

The path to private instruction
  1. Join the Mastery Lab.
  2. Bring your course and goals.
  3. Apply for weekly private sessions.
Start Your 7-Day Free Trial

Already a Lab member? Read the private instruction details.

Questions from Tufts students

Know what you are joining.

Where should I start if I need a Tufts 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 include retired Tufts classes?

No. MATH 44 and 72 appear in the department’s retired-course section and are not promoted as current options here. Use MATH 42 and 70 as the current calculus and linear-algebra references in this guide.

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 Tufts 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 Tufts University?

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.

Help through Calculus I

Build the foundation for what comes next.

For prerequisite review, explore the Calculus I resources. MATH 32 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 →
Keep learning

Explore the idea behind the method.

Use the Math Library for explanations and connections, then return to your current Tufts problem.

Course and study resources
Other universities supported
Official references and student reviews
Tufts mathematics support · 25+ years teaching university mathematics

Learn the method.
Bring it to your Tufts 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.

Start Your 7-Day Free Trial

7 days free, then $89/month.

★★★★★ 5-star Google reviews · 5.0 / 5 RateMyProfessors