Purdue mathematics.
Master the method.
Start with 7 days free in the Woody Calculus Mastery Lab.
Video lessons. Complete worked solutions. Direct guidance. Learn with Woody, backed by 25+ years teaching mathematics at the university level.
7 days free, then $89/month. Private one-on-one sessions are separate.
See the classrooms and support in the tour below
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Mathematics support for Purdue
From Calculus II to advanced proofs: find your subject, then build your study plan inside the Mastery Lab.
- Calculus IIIntegration, applications, and infinite series
- Calculus IIIMultivariable and vector calculus
- Differential EquationsODEs, transforms, systems, and modeling
- Linear AlgebraMatrices, vector spaces, and eigenvalues
- Abstract AlgebraGroups, rings, fields, and proofs
- Real AnalysisLimits, convergence, and rigorous reasoning
- Galois TheoryField extensions, symmetries, and equations
- Number TheoryPrimes, congruences, and Diophantine equations
One place to begin: the Woody Calculus Mastery Lab. Explore the lessons, ask Woody questions, and practice the method for your course.
Look inside the Mastery Lab.
See Woody walk through the actual classrooms, lessons, worked solutions, and community. Get a feel for how you will study and where you can ask for help.
Watch on YouTube if the player does not load
See every step.
Video classrooms and complete worked homework and exam solutions show how to begin, choose a method, and finish.
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.
From integration to Galois theory.
Your course is part of the picture.
Calculus, differential equations, linear algebra, abstract algebra, real analysis, Galois theory, and number theory each demand a different kind of reasoning. Woody helps you learn what the problem is asking, what tools apply, and how to justify your work.
Find your subject below. Your Purdue course number and current syllabus guide the material you need inside the Lab.
Calculus II
Integration techniques, improper integrals, infinite series, power series, Taylor and Maclaurin series, vectors, conic sections, polar coordinates, and three-dimensional surfaces.
With Woody: Recognize the integration method or convergence test before you start calculating.
Course details and topics
MA 16200: Plane Analytic Geometry and Calculus II is the 5-credit continuation of MA 16100. MA 16600: Analytic Geometry and Calculus II is the 4-credit continuation of MA 16500. The broad subjects overlap; pacing and exams need not be identical.
- Integration techniques and improper integrals
- Infinite series and convergence tests
- Power, Taylor, and Maclaurin series
- Vectors in two and three dimensions
- Conic sections, polar coordinates, and surfaces in three dimensions
Calculus III
Purdue’s Multivariate Calculus: geometry in space, partial derivatives, gradients, multiple integrals, vector fields, line integrals, and surface integrals.
With Woody: Translate the geometry into coordinates, bounds, and a clean setup.
Course details and topics
MA 26100: Multivariate Calculus extends calculus into space: multivariable derivatives, multiple integrals, and introductory vector calculus.
- Vectors and geometry in space
- Partial derivatives, gradients, and directional derivatives
- Double and triple integrals
- Vector fields and line integrals
- Surface integrals and geometric interpretation
Differential Equations
First-order and higher-order equations, series solutions, Laplace transforms, and systems—with applications in physics and engineering.
With Woody: Classify the equation, select the method, apply the conditions, and check the result.
Course details and topics
MA 26600: Ordinary Differential Equations develops first-order and higher-order linear equations, series solutions, Laplace transforms, and systems.
- First-order differential equations
- Linear and second-order equations
- Series solutions and Laplace transforms
- Systems, with eigenvalue methods when included
- Physics and engineering applications; qualitative behavior
The combined MA 26200 route
MA 26200: Linear Algebra and Differential Equations combines these subjects in one course. It is an alternative course format, not a follow-on to MA 26500 and MA 26600. Follow your degree plan and syllabus.
Linear Algebra
Linear systems, matrices, determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, and diagonalization.
With Woody: Connect the calculations to the structure, and explain why the method works.
Purdue linear algebra course details
MA 26500: Linear Algebra develops matrix methods, vector spaces, and eigenvalue problems. MA 35100: Elementary Linear Algebra is an alternative course, not a successor to MA 26500. MA 35301: Linear Algebra II develops further theory, including inner products, orthogonality, and least squares. Use your exact course number and syllabus to match your preparation.
Linear algebra also supports differential equations, abstract algebra, engineering, physics, data science, and machine learning.
Abstract Algebra
Elements of Algebra I: integers, polynomials, groups, rings, fields, and the reasoning that connects them.
With Woody: Read definitions precisely, recognize structure, and write complete proofs.
Algebra topics and proof practice
Work with definitions, examples, counterexamples, homomorphisms, quotient structures, and theorems as they appear in your course. Practice explaining each implication rather than copying the shape of a proof.
MA 50400 · MA 54400
Real Analysis
Foundations of analysis, honors analysis, and 500-level real analysis and measure theory: limits, convergence, continuity, integration, and rigorous proof.
With Woody: Understand the definition, track the hypotheses, and justify every step.
Foundations, honors, and advanced analysis courses
Foundations of Analysis
Real numbers, sequences, series, continuity, differentiation, and Riemann integration. Work on turning the definition into the structure of a proof.
Honors Real Analysis I & II
MA 44000 develops topics such as Euclidean topology, convergence, continuity, and integration. MA 44200 continues into multivariable derivatives, inverse and implicit function theorems, and change of variables.
500-level analysis
MA 50400 is Real Analysis, including topology, convergence, Riemann–Stieltjes integration, and approximation. MA 54400 is Real Analysis and Measure Theory, including metric spaces, measure, integration, and Lp spaces.
Official course references are included in the details above.
Galois Theory
Fields, polynomial equations, field extensions, symmetries, and solvability by radicals. MA 45401 is Galois Theory Honors.
With Woody: Connect the field extensions to their automorphisms and turn the structure into a proof.
Which Galois theory course?
The department retains a MA 45400 Galois Theory description and lists MA 45401 Galois Theory Honors in Spring 2026. Match the exact code on your syllabus. Prepare for fields, polynomial equations, field extensions, and their symmetries.
Number Theory
Divisibility, primes, congruences, quadratic residues, Diophantine equations, and advanced algebraic number theory.
With Woody: Recognize the arithmetic structure, choose a theorem, and build a clear argument.
Purdue number theory course details
MA 55600: Introduction To The Theory Of Numbers covers classical number theory, including divisibility, congruences, quadratic residues, Diophantine equations, and primes. It appears in Purdue’s course-description directory; check current offerings and your syllabus.
MA 58400: Algebraic Number Theory is a distinct advanced course involving algebraic integers, number fields, and local fields. Bring your syllabus and current problems so Woody can help identify the relevant support.
Advanced mathematical methods, too.
Support also extends to Fourier series, Laplace transforms, partial differential equations, advanced differential equations applications, mathematical methods for physics, vector calculus, numerical methods, and connected proof-based topics. Bring your syllabus to identify the relevant material.
Course names and numbers checked against Purdue Mathematics course listings in September 2026. Follow your current syllabus for coverage, pacing, and exam requirements. The linked semester pages identify the course descriptions used here.
You do not need to solve the whole semester today.
Start with your next topic and a clear plan inside the Lab.
A method you can use from calculus to proof.
Large lectures, fast exam schedules, and complex multi-step problems can leave little time to build a reliable approach. Advanced courses add another challenge: writing a complete proof.
Woody’s method brings structure to that work: recognize the pattern, build a clean setup, develop formula fluency, and practice the process until you can explain it.
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Start with the actual course.
Use your MA course number, instructor’s syllabus, current homework topics, and next exam date to organize what you need to learn.
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Find the decision that stops you.
Is it choosing a series test in Calculus II, setting bounds in MA 26100, selecting an ODE method, or starting a proof? Practice that decision explicitly.
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Rebuild a complete solution.
Study a correct worked example. Rewrite the solution and say each step aloud, including why the method applies. Keep the notation and algebra clear.
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Solve a fresh problem unaided.
Mix problem types, work without the example in front of you, and check your result. Use mistakes to decide what to revisit before the exam.
Seven days. Start with the work in front of you.
Use the free trial to see how the Lab fits the way you need to study. You can begin with a difficult homework topic, an approaching exam, or a proof you cannot get started.
- Bring your course. Share your syllabus, course number, current topic, and exam date.
- Work through an example. Follow the reasoning, rewrite the solution, and say each step aloud.
- Ask a focused question. Show Woody what you tried and where you got stuck.
- Try the next problem independently. Use what you learned, then follow up on what still needs work.
7 days free, then $89/month. Private sessions are separate.
Private instruction for Purdue students.
Woody has been working privately with Purdue students for almost a decade, backed by 25+ years teaching university mathematics.
Get weekly one-on-one guidance, personalized exam strategy, detailed feedback, and accountability for your course.
Begin in the Mastery Lab. If you want weekly private sessions in calculus, differential equations, linear algebra, abstract algebra, real analysis, Galois theory, number theory, or advanced mathematics, you can then apply for an individual arrangement.
Private instruction is separate from Lab membership, carries a premium fee, and has limited availability. Application and approval are required; Lab enrollment does not guarantee a private place.
- Join the Mastery Lab.
- Bring your goals and course details.
- Apply for weekly one-on-one sessions.
Already a Lab member? Read the private instruction details.
A few useful answers before you start.
Is this for advanced mathematics, or mainly calculus?
It covers both. Woody supports Calculus II, Calculus III, Differential Equations, Linear Algebra, Abstract Algebra, Real Analysis, Galois Theory, and Number Theory, along with selected advanced topics. The Purdue course guide above includes the corresponding course numbers.
Will I be able to ask Woody questions?
Yes. Lab membership includes direct chat guidance and community support, with live Q&A when available. Bring the problem, your attempt, and the specific step you want explained.
What happens after the free trial?
The Mastery Lab is free for 7 days, then $89 per month. Review the membership terms when you join on Skool. Private one-on-one instruction is a separate service with a premium fee.
Will the lessons fit my Purdue course?
Use your course number and current syllabus to match the topics you need. The Lab includes general lessons and university-specific resources for selected courses. Share your current homework topics or exam review with Woody; resources vary by course and instructor.
What experience does Woody bring?
Woody has more than 25 years of experience teaching mathematics at the university level and has worked privately with Purdue students for almost a decade. Read his 5-star Google reviews and perfect 5.0 RateMyProfessors rating to hear from students.
Are private sessions included in the Lab?
No. Students begin in the Lab and may apply for weekly private instruction if they want additional individual guidance. Private sessions carry a separate premium fee, availability is limited, and acceptance is not guaranteed.
Where do I start if I am already behind?
Start your 7-day free trial and bring your syllabus, current topic, next exam date, and a problem that shows where you get stuck. Focus first on the decision or prerequisite that prevents you from moving forward.
Is Woody Calculus affiliated with Purdue?
No. Woody Calculus is an independent education service for Purdue students. It is not affiliated with, sponsored by, or endorsed by Purdue University.
MA 16100 or MA 16500?
MA 16100: Plane Analytic Geometry and Calculus I and MA 16500: Analytic Geometry and Calculus I build the single-variable foundations: limits, continuity, derivatives, optimization, related rates, curve sketching, and elementary integration.
Woody’s current instruction focuses on Calculus II and beyond. For private help with college algebra, precalculus, or Calculus I, Woody recommends Blue Hovatter at Incredible Math Tutor.
Go deeper into the mathematics.
Use these visual lessons and essays to connect the ideas behind your Purdue coursework.
Calculus IIGabriel’s Horn: Finite Volume, Infinite Surface AreaRead the essay
Multivariable calculusLine Integrals and Vector FieldsRead the essay
Differential equations & physicsFourier Series: Harmonics, Sound, Heat, and Quantum MechanicsRead the essay
Real analysisThe Cantor Set: Infinite Points, Zero LengthRead the essay
Abstract algebraGalois Theory: Hidden Symmetry and the QuinticRead the essay
Your next step is simple.
Try the Mastery Lab.
Bring your calculus problem, algebra question, analysis proof, or upcoming exam. Start learning with a system—and an experienced teacher you can ask.
7 days free, then $89/month.