Woody Calculus · University of Nevada, RenoFormer UNR mathematics instructor

UNR mathematics.
Master the method.

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

Learn with a former UNR instructor. Video lessons, complete worked solutions, and direct guidance from Woody—backed by 25+ years teaching university mathematics.

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

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Explore private one-on-one instruction ↓

Mathematics support for UNR

From MATH 182 to advanced proofs: find your subject, then build your study plan inside the Mastery Lab.

Start with the Woody Calculus Mastery Lab. Learn the methods, study complete solutions, and ask questions of a teacher who knows UNR’s mathematics sequence firsthand.

See what you are joining · 10-minute walkthrough

Look inside the Mastery Lab.

See Woody walk through the classrooms, worked solutions, and community. Then use the trial to connect the lessons to your current UNR homework and exam preparation.

Woody’s guided tour of the Mastery Lab.
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01

See every step.

Video classrooms and complete worked homework and exam solutions show how to begin, choose a method, and finish.

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.

This is where much of the method took shape

I taught here for more than a decade.
Reno is still home.

Before Woody Calculus, I spent more than a decade teaching mathematics at the University of Nevada, Reno. I worked with students as they learned to choose integration methods, make sense of a multivariable setup, and turn a difficult problem into a sequence of manageable steps.

Many of the teaching methods that became the Woody Calculus system were developed in my UNR classrooms. About eight years ago, I moved into private practice and began building Woody Calculus. I still live in Reno and continue working with UNR students.

Today, that experience is available through the Mastery Lab: clear explanations, complete worked solutions, structured practice, and direct guidance. Bring the work from your current class, and we can build a plan around what you need next.

University experience. Personal guidance.

  • 25+ years teaching university mathematics, including more than a decade at UNR.
  • Firsthand knowledge of the UNR sequence: Calculus II, Calculus III, Differential Equations, and the transition into proof-based mathematics.
  • A method built through teaching: recognize the structure, choose the method, and execute the steps with understanding.
  • Students already using the Lab: UNR students come for homework, quizzes, midterms, finals, and advanced mathematics support.

Woody is a former UNR instructor and now teaches independently through Woody Calculus. Bring your current syllabus and instructor’s review so your study plan matches this semester’s course.

Your UNR course. A clear place to begin.

From MATH 182 to advanced proofs.
Build the method for your course.

Use your course number to find the right starting point. Whether you are choosing a series test, solving an equation, or learning to write proofs, bring your syllabus and current problems so the guidance fits your class.

UNR calculus sequenceMATH 182

Calculus II

MATH 182 asks you to choose among integration methods and series tests. Learn to recognize the structure first, then carry out a complete solution with clear notation and checks.

With Woody: Decide why the technique fits before you begin the calculation.

Course details and topics

MATH 182: Calculus II develops integration techniques, sequences, infinite series, and power series. Its applications include areas, arc lengths, and volumes of revolution.

Woody’s approach connects method selection with repeated, explained practice. Study a worked solution in the Lab, say why each step is valid, and then try a similar problem without the answer in view.

Topics to prepare

  • Substitution, integration by parts, trigonometric substitution, and partial fractions
  • Volumes by disks, washers, and cylindrical shells
  • Areas, arc length, and other integration applications
  • Improper integrals and convergence
  • Sequences, series tests, power series, and Taylor and Maclaurin series

More Calculus II resources →

UNR calculus sequenceMATH 283

Calculus III

Learn to see the geometry behind the notation. Build the sketch, choose coordinates, and set up the derivative or integral before trying to compute it.

With Woody: Identify the region, curve, or surface and explain what you are measuring.

Course details and topics

MATH 283: Calculus III continues MATH 182 with vectors, multivariable derivatives, optimization, multiple integrals, and vector calculus. UNR’s course includes the theorems of Gauss, Green, and Stokes.

Work through the choices that determine the setup: bounds, orientation, coordinates, and whether a theorem can simplify the calculation. These decisions are central to solving unfamiliar problems on an exam.

Topics to prepare

  • Vectors, parametric curves, and geometric interpretation
  • Partial and directional derivatives, gradients, and optimization
  • Double and triple integrals and coordinate changes
  • Vector fields, divergence, curl, and line integrals
  • Surface integrals and the theorems of Gauss, Green, and Stokes

More Calculus III resources →

Equations, systems, and applicationsMATH 285

Differential Equations

Turn a differential equation into a plan. Recognize its type, choose an appropriate method, apply the conditions, and check that your result actually solves the problem.

With Woody: Classify the equation before choosing the solution method.

Course details and topics

MATH 285: Differential Equations develops methods for first- and higher-order equations, linear equations with constant or variable coefficients, nonlinear equations, systems, and applications. UNR’s learning outcomes also include Laplace transforms and qualitative behavior.

Work on a repeatable sequence: classify, solve, apply the conditions, and verify. Connect the technique to the model so you can explain both the calculation and what the solution means.

Topics to prepare

  • First-order methods and initial-value problems
  • Constant- and variable-coefficient linear equations
  • Nonlinear differential equations and qualitative behavior
  • Systems of differential equations
  • Laplace transforms, mathematical modeling, and real-world applications

More Differential Equations resources →

Matrix methods and mathematical structureMATH 330 · MATH 430

Linear Algebra

Connect the computations to the spaces and transformations they describe. Build confidence with bases, eigenvalues, projections, and the reasoning behind each operation.

With Woody: Explain what the map or matrix does, then justify the calculation.

Course details and topics

MATH 330: Linear Algebra develops vector spaces, bases, inner products, projections, orthogonal complements, least squares, linear maps, and spectral ideas.

MATH 430: Linear Algebra II moves further into duality, direct sums, rational and Jordan forms, bilinear and quadratic forms, and the spectral theorem. Match your syllabus to these advanced topics and their proof requirements.

Linear algebra is part of Woody’s core teaching portfolio and supports work in differential equations, abstract algebra, engineering, physics, and data science.

Topics to prepare

  • Linear systems, matrices, rank, and dimension
  • Vector spaces, subspaces, bases, and change of basis
  • Inner products, orthogonality, Gram–Schmidt, projections, and least squares
  • Linear maps and their structure
  • Eigenvalues, eigenvectors, diagonalization, and spectral reasoning
  • Duality, canonical forms, and bilinear and quadratic forms in MATH 430

More Linear Algebra resources →

Groups, rings, fields, and proofsMATH 331

Abstract Algebra

Learn how to use a definition to build an argument. Move between examples and abstract structure as you work with groups, rings, fields, and the maps connecting them.

With Woody: State the hypotheses, unpack the definition, and justify each implication.

Course details and topics

MATH 331: Groups, Rings and Fields is UNR’s undergraduate abstract-algebra course reference. It develops the structural thinking needed for later algebra and number theory.

Woody’s guidance emphasizes careful theorem use, explicit examples, well-chosen counterexamples, and complete proofs. Learn what you must show before trying to write the argument.

Topics to prepare

  • Groups, subgroups, and familiar examples of algebraic structures
  • Homomorphisms, kernels, and quotient constructions
  • Rings, ideals, integral domains, and fields
  • Reading definitions and identifying missing hypotheses
  • Constructing proofs, examples, and counterexamples

More Abstract Algebra resources →

Introductory analysis through advanced proofsMATH 310 · MATH 311 · MATH 411

Real Analysis

Make the transition from calculating limits and integrals to proving statements about them. Build precise arguments and learn to use the full hypotheses of a theorem.

With Woody: Identify the quantifiers and assumptions before choosing the proof strategy.

Course details and topics

MATH 310: Introduction to Analysis I develops rigorous calculus in one variable: real numbers, convergence, continuity, differentiation, and integration.

MATH 311: Intro To Analysis II continues with series, uniform convergence, and proofs in several variables, including inverse and implicit function theorems.

MATH 411: Real Analysis goes further into uniform convergence, the Stone–Weierstrass theorem, multivariable differentiation, change of variables, and Lebesgue measure and integration.

These are distinct stages of UNR’s analysis pathway. Bring your course number and current definitions so the explanations fit the level of your class.

Topics to prepare

  • Limits, convergence, and the logic of epsilon arguments
  • Sequences, continuity, differentiation, and integration
  • Definitions, theorem hypotheses, and precise mathematical writing
  • Examples and counterexamples that test a claim
  • Uniform convergence and multivariable proof work in MATH 311
  • Stone–Weierstrass, Jacobians, change of variables, and Lebesgue measure and integration in MATH 411

More Real Analysis resources →

Graduate algebra and field-theory supportMATH 731 · MATH 732

Galois Theory

Connect field extensions to the symmetries of polynomial roots. Work carefully with automorphisms, fixed fields, and the hypotheses behind the main correspondence.

With Woody: Identify the field extension and the automorphisms that preserve the structure.

Course details and topics

MATH 731 and MATH 732 are both officially titled Modern Algebra in UNR’s current catalog. These graduate courses include Galois theory, groups, fields, and linear transformations.

The MATH 732 learning outcomes include field extensions, splitting fields, finite fields, separability, Galois groups, and cyclotomic and radical extensions. Bring your current syllabus so the support matches your course’s depth and proof expectations.

Woody supports Galois theory as part of the broader advanced mathematics portfolio, from introductory examples to detailed proof work.

Topics to prepare

  • Field extensions, adjoining roots, and extension degrees
  • Irreducible polynomials and splitting fields
  • Automorphisms and fixed fields
  • The Galois correspondence and its hypotheses
  • Polynomial equations and solvability, at the level of your course

More Galois Theory resources →

Integer arithmetic and proof strategiesMATH 373 · MATH 455

Number Theory

Use the structure of the integers to organize a proof. Learn to translate a problem into divisibility, congruences, or an equation before selecting a theorem.

With Woody: Start with the arithmetic structure and make every assumption explicit.

Course details and topics

MATH 373: Theory of Positive Integers uses logic, quantifiers, induction, and integer arithmetic to develop problem-solving and theorem-proving skills. It is an important place to strengthen the structure of a proof.

MATH 455: Elementary Theory of Numbers I develops congruences, primitive roots, arithmetic functions, quadratic reciprocity, prime distribution, Diophantine equations, rational approximations, and algebraic numbers.

Bring your exact course number and syllabus to connect the computations and theorems to the level of reasoning your class expects.

Topics to prepare

  • Logic, quantifiers, induction, and the fundamental theorem of arithmetic in MATH 373
  • Divisibility, prime numbers, and factorization
  • Congruences and modular arithmetic
  • Arithmetic functions and Diophantine equations
  • Primitive roots and quadratic reciprocity as assigned
  • Proof strategies and rational approximation topics at the level of your course

More Number Theory resources →

Advanced mathematical methods, too.

Woody also supports advanced engineering mathematics, mathematical methods for physics, Fourier series, Laplace transforms, partial differential equations, numerical methods, complex variables, and related proof-based mathematics. Bring your exact topic and course expectations to find the right lessons and next steps.

Course names and numbers checked against the University of Nevada, Reno catalog and official UNR sources linked above in September 2026. Course availability and topic order vary; your current syllabus determines the material for your section.

Bring the problem you are working on now.
Start in the Lab, study the method, and ask your next question.

Start Your 7-Day Free Trial

The method developed through years of teaching

Recognize the pattern.
Choose the method.
Do the work.

Fast-moving lectures and approaching exams can turn studying into a rush for answers. The Lab gives you a way to slow down the decisions that matter, then practice until you can make them independently.

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 UNR work.

    Start with your MATH course number, syllabus, homework topics, and next exam date. Use those to choose the relevant classroom and worked examples.

  2. Recognize what the problem is asking.

    A volume by washers or shells? A first-order equation? A statement about a subgroup? Identify the structure and the information you have before choosing a technique or theorem.

  3. Rebuild the complete solution.

    Study the worked example, rewrite it 3–5 times, and say the steps aloud. Explain each choice and check the reasoning. Then close the solution and reconstruct the method yourself.

  4. Try a fresh problem on your own.

    Mix problem types and work without the solution in view. Check your result, identify the first uncertain step, and bring that question back to Woody.

Make your first seven days useful

A teacher who knows UNR.
A study routine you can build on.

Use your first seven days to study a topic from your current class, work through a complete solution, and ask Woody about the step that is holding you back.

  1. Choose your course and topic. Begin with the appropriate Calculus II, Calculus III, Differential Equations, or advanced mathematics classroom.
  2. Follow a complete worked solution. Learn the setup, the method choice, and the checks behind the answer.
  3. Bring Woody your question. Share your attempt and the first step you cannot explain.
  4. Solve a fresh problem independently. Apply the method and use your result to decide what to practice next.

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

More about the Mastery Lab and membership

Woody Calculus mathematics support for University of Nevada, Reno students
UNR experience. Complete explanations. Direct guidance from Woody.
Learn with a former UNR instructor.
When you want individual instruction

Private instruction for UNR students.

For students who want weekly private sessions, Woody brings 25+ years teaching university mathematics, including more than a decade at UNR, and continued experience helping UNR students through private instruction.

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.

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 UNR students

Know what you are joining.

Did Woody teach at the University of Nevada, Reno?

Yes. Woody taught mathematics at UNR for more than a decade before moving into private practice and building Woody Calculus about eight years ago. He still lives in Reno and continues working with UNR students. His total university teaching experience spans more than 25 years.

Which UNR courses can Woody help with?

Support spans MATH 182 Calculus II, MATH 283 Calculus III, MATH 285 Differential Equations, MATH 330 Linear Algebra, MATH 331 Groups, Rings and Fields, MATH 310 and 311 Introduction to Analysis, MATH 411 Real Analysis, and related advanced algebra, Galois theory, and number theory. The course guide above connects the subjects to the relevant UNR listings.

What do UNR students get inside the Mastery Lab?

The Lab provides step-by-step video classrooms, complete worked homework and exam solutions, structured practice, direct chat guidance, and a study community. Live Q&A is available when scheduled. Bring your syllabus and current topic so Woody can help you find relevant lessons and examples.

Can I use the Lab to prepare for a UNR midterm or final?

Yes. Use your instructor’s review sheet and current homework as a roadmap. Study the relevant worked examples, practice recognizing the problem type, and solve related problems without the solution in view. Bring Woody the step you cannot explain so you can focus your practice.

Can Woody help with proofs and advanced mathematics?

Yes. Abstract algebra, Galois theory, introductory analysis, real analysis, number theory, and related advanced subjects are part of Woody’s teaching portfolio. The focus is on understanding definitions, using theorems correctly, constructing examples and counterexamples, and writing complete arguments.

Can I ask Woody questions during the trial?

Yes. Membership includes direct chat guidance and community support, with live Q&A when available. Share the problem, your attempt, and the step you want explained.

What happens after the seven-day free trial?

Membership is $89 per month after the 7-day free trial. Review the membership terms on Skool when you join. Private one-on-one sessions are a separate service with a premium fee.

Are private sessions included in Lab membership?

No. Begin in the Lab, then apply if you want weekly individual instruction. Private sessions require a separate premium fee, available space, and approval. Membership does not guarantee acceptance.

Is Woody Calculus part of UNR?

No. Woody is a former UNR instructor, but Woody Calculus is an independent education service. It is not affiliated with, sponsored by, or endorsed by the University of Nevada, Reno.

Before Calculus II

Building your MATH 181 foundation?

MATH 181: Calculus I develops the foundations for the UNR calculus sequence: limits, continuity, derivative rules, and beginning integration. Review optimization, related rates, curve sketching, and elementary antiderivatives before moving into more advanced methods.

Woody’s current instruction focuses on Calculus II and above. If a prerequisite is getting in the way of MATH 182 or a later course, start with the free foundations resources and bring your specific question.

Explore Calculus I foundations →

Keep learning

Go deeper into the mathematics.

Use these visual lessons and essays to connect the ideas behind your UNR coursework.

Browse all mathematical essays →

Former UNR instructor · 25+ years teaching university mathematics

Your UNR course.
Your next step starts here.

Learn with a teacher who helped develop these methods in UNR classrooms. Bring your current work, study a complete solution, and start building the confidence to do the next problem yourself.

7 days free, then $89/month.

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