Woody Calculus · Colorado State UniversityFormer CSU instructor

CSU mathematics.
Master the method.

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

Learn with a former CSU instructor. Dedicated CSU classrooms, complete worked solutions, and direct guidance—backed by 25+ years teaching university mathematics.

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 CSU

Five dedicated CSU classrooms, plus advanced mathematics support. Find your subject, then build your study plan inside the Mastery Lab.

One place to begin: the Woody Calculus Mastery Lab. Explore the CSU classrooms, ask Woody questions, and practice the method for your course.

See what you are joining · 10-minute walkthrough

Look inside the Mastery Lab.

See Woody walk through the classrooms, lessons, worked solutions, and community. Then start your trial and head to the dedicated CSU material for your course.

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.

Why Colorado State is personal

I studied here. I taught here.
I still work with CSU students.

I was a graduate student in mathematics at Colorado State from 2000 to 2002, and I also taught mathematics there. That experience is part of the foundation of how I teach today.

Since moving into private instruction, I have worked with CSU students for more than 8 years. They make up a substantial part of my practice. Their homework, questions, and exam preparation have helped shape the CSU resources inside the Woody Calculus Mastery Lab.

The advantage is depth: years of experience with CSU coursework, multi-semester problem libraries, and a teacher you can ask when a step does not make sense.

Study the work behind the answer.

  • CSU practice: past homework, past exams, review material, and exam-style problems across the core CSU sequence.
  • Complete solutions: follow the setup, method choice, intermediate steps, and checks.
  • Five dedicated classrooms: Calculus II, Calculus III, Differential Equations, Linear Algebra, and Linear Algebra for Data Science.
  • Direct guidance: ask Woody questions inside the Lab and use live Q&A when available.

Past CSU problems help you practice recurring concepts and methods. Use your current syllabus and instructor’s review to decide what to study; assignments, exam formats, and available archive material vary by course and semester.

Your course number. Your next topic.

From MATH 161 to advanced proofs.
Here is where your course fits.

Start with the dedicated CSU classroom when one is listed. For advanced algebra, analysis, and number theory, bring your syllabus and current problems so Woody can guide you to the relevant lessons and proof work.

Dedicated CSU classroomMATH 161

Calculus II

Build a reliable plan for integration, polar coordinates, and infinite series. Use the CSU MATH 161 classroom to study worked homework, past exams, and practice from multiple semesters.

With Woody: Recognize the integral or series pattern before choosing the method.

Course details and topics

MATH 161: Calculus for Physical Scientists II includes transcendental functions, integration techniques, polar coordinates, sequences, and series. The CSU classroom connects the underlying techniques to course-specific worked practice.

Topics to prepare

  • Integration by parts, trigonometric substitution, and partial fractions
  • Improper integrals and applications of integration, including disks, washers, and shells
  • Sequences, infinite series, and convergence tests
  • Power series, Taylor series, and Maclaurin series
  • Polar coordinates and mathematical-software work as assigned

More Calculus II resources →

Dedicated CSU classroomMATH 261

Calculus III

Turn a region, curve, or surface into a workable setup. The CSU MATH 261 classroom includes past homework and exam solutions from several semesters to support multivariable and vector calculus practice.

With Woody: Sketch the geometry, choose coordinates, and set the bounds before integrating.

Course details and topics

MATH 261: Calculus for Physical Scientists III develops vector functions, multivariable derivatives, coordinate systems, and multiple and line integrals. Use the course classroom to connect these ideas to the problems in your current syllabus.

Topics to prepare

  • Vector functions, vector fields, and geometric interpretation
  • Partial derivatives, gradients, and directional derivatives
  • Cylindrical and spherical coordinates
  • Double and triple integrals and choosing integration bounds
  • Line integrals and Green’s theorem

More Calculus III resources →

Dedicated CSU classroomMATH 340 · MATH 345

Differential Equations

Learn to identify the equation, choose a method, and check the solution. CSU resources include multi-semester MATH 340 homework, exam, and review solutions, with support for the MATH 340 and MATH 345 pathways.

With Woody: Classify first. Solve second. Apply the conditions and verify the result.

Course details and topics

MATH 340: Intro to Ordinary Differential Equations includes first- and second-order equations, series methods, Laplace transforms, linear algebra, eigenvalues, systems, and numerical techniques.

MATH 345: Differential Equations includes first- and second-order equations, transforms, systems, numerical methods, applied linear algebra, and linearization. These are alternative CSU pathways; credit is not allowed for both. Match your exact course and current syllabus when choosing practice.

Topics to prepare

  • First-order methods and initial-value problems
  • Second-order linear equations and series solutions
  • Laplace transforms and inverse transforms
  • Eigenvalues, linear systems, and applied linear algebra
  • Numerical methods, modeling, and linearization

More Differential Equations resources →

Dedicated CSU classroom: MATH 369MATH 369 · MATH 469

Linear Algebra

Make matrix calculations connect to vector spaces and transformations. The dedicated MATH 369 classroom includes CSU homework and exam solutions from multiple semesters.

With Woody: Explain what the matrix represents and why each operation is justified.

Course details and topics

MATH 369: Linear Algebra I covers linear systems, matrices, subspaces, linear transformations, eigenvalues, and eigenvectors. Use worked CSU examples to connect computation with geometry and definitions.

For further study, MATH 469: Linear Algebra II develops abstract vector spaces, linear transformations, determinants, and canonical forms. Bring your syllabus for advanced support; the dedicated CSU archive classroom highlighted here is MATH 369.

Topics to prepare

  • Linear systems, row reduction, and matrix operations
  • Subspaces, linear independence, bases, and dimension
  • Determinants and linear transformations
  • Eigenvalues, eigenvectors, and diagonalization
  • Connections to differential equations, engineering, and data science

More Linear Algebra resources →

Dedicated CSU classroomDSCI 369

Linear Algebra for Data Science

A dedicated CSU classroom for the linear algebra behind data science. Connect the calculations to projections, least-squares problems, matrix factorizations, and singular value decomposition.

With Woody: Connect the matrix method to the approximation or geometric question it answers.

Course details and topics

DSCI 369: Linear Algebra for Data Science is a distinct CSU course, separate from MATH 369 Linear Algebra I. Its focus includes bases, subspaces, projections, linear systems, least squares, and matrix factorizations.

Use the dedicated DSCI 369 classroom and ask Woody about the setup, calculation, or interpretation you are working on. Match the available lessons and worked examples to your current assignments.

Topics to prepare

  • Matrices, bases, subspaces, independence, and dimension
  • Change of basis and projections
  • Linear systems and least-squares solutions
  • Matrix factorizations and singular value decomposition (SVD)
  • Angles between subspaces and interpreting the geometry

More Linear Algebra for Data Science resources →

Advanced mathematics supportMATH 366 · 466 · 566 · 567

Abstract Algebra & Galois Theory

Build proof fluency from groups and rings to field extensions and Galois theory. Begin with definitions, test them on examples, and learn to construct a complete argument.

With Woody: Name the structure, unpack the definition, and justify every implication.

Course details and topics

MATH 366: Introduction to Abstract Algebra develops proof skills through sets, integers, polynomials, number systems, groups, integral domains, and fields. MATH 466: Abstract Algebra I develops groups, rings, and fields further.

MATH 566: Introduction to Abstract Algebra I includes substructures, quotients, homomorphisms, group actions, and unique factorization. MATH 567: Introduction to Abstract Algebra II covers field theory, Galois theory, and advanced linear algebra.

Working from an older MATH 467 syllabus? The 2025–26 CSU catalog lists MATH 467: Abstract Algebra II, including Euclidean domains, abstract vector spaces, field extensions, and Galois theory. It is not listed in the current 2026–27 course directory. Bring the syllabus so your support matches the material.

Topics to prepare

  • Groups, subgroups, rings, ideals, integral domains, and fields
  • Homomorphisms, quotient structures, and group actions
  • Polynomials, Euclidean domains, and unique factorization
  • Field extensions, automorphisms, and Galois theory
  • Examples, counterexamples, and complete proof writing

More Abstract Algebra & Galois Theory resources →

Advanced mathematics supportMATH 317 · MATH 417 · MATH 517

Advanced Calculus & Real Analysis

Move from using calculus to proving why it works. Get support with convergence, continuity, topology, differentiation, integration, and the precise reasoning behind theorems.

With Woody: State the hypotheses, choose the right definition, and control each step of the proof.

Course details and topics

MATH 317: Advanced Calculus of One Variable develops sequences, series, limits, continuity, differentiation, and integration. MATH 417: Advanced Calculus I covers topology and calculus on Euclidean spaces, including the implicit function theorem.

MATH 517: Introduction to Real Analysis includes metric and function spaces, convergence, completeness, compactness, fixed-point theorems, implicit and inverse function theorems, and Lebesgue integration.

Working from an older MATH 418 syllabus? The 2025–26 CSU catalog lists MATH 418: Advanced Calculus II, including line and surface integrals and sequences and series of functions. It is not listed in the current 2026–27 course directory. The underlying topics remain part of the advanced support available here.

Topics to prepare

  • Sequences, series, limits, continuity, and epsilon arguments
  • Differentiation and integration in one and several variables
  • Topology of Euclidean spaces, metric spaces, completeness, and compactness
  • Sequences and series of functions, and convergence questions
  • Implicit/inverse function theorems and measure-theoretic ideas

More Advanced Calculus & Real Analysis resources →

Advanced mathematics supportMATH 405

Number Theory

Connect concrete arithmetic to rigorous proofs about integers, primes, congruences, and finite fields. Work on choosing the theorem that explains the structure of the problem.

With Woody: Identify the divisibility or congruence structure before manipulating expressions.

Course details and topics

MATH 405: Introduction to Number Theory includes Diophantine equations, prime distribution, multiplicative functions, finite fields, quadratic reciprocity, and quadratic number fields. Bring your course outline and current problems to match the support to your level.

Topics to prepare

  • Divisibility, congruences, and Diophantine equations
  • Prime numbers and multiplicative functions
  • Finite fields
  • Quadratic residues and quadratic reciprocity
  • Quadratic number fields and proof strategy

More Number Theory resources →

Advanced mathematical methods, too.

Support also extends to Fourier series, Laplace transforms, partial differential equations, numerical methods, advanced engineering mathematics, mathematical methods for physics, and related proof-based topics. Bring your syllabus and current work to identify the appropriate starting point.

Current course names and numbers checked against CSU’s 2026–27 mathematics and data science catalogs in September 2026. MATH 467 and MATH 418 are identified above as earlier-catalog references. Your current syllabus determines the topics and pacing for your class.

Start with the topic you need this week.
Open the Lab, bring your course, and ask your next question.

Start Your 7-Day Free Trial

Turn CSU practice into a study plan

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. Match your current CSU course.

    Bring your MATH or DSCI number, syllabus, homework topics, and exam date. Start in the relevant CSU classroom or ask Woody where to begin.

  2. Practice the decision first.

    Which series test? Which coordinates? Which ODE method? Which matrix factorization? Learn what in the problem tells you how to start.

  3. Rebuild the complete solution.

    Study the worked example, rewrite it 3–5 times, and say the steps aloud. Explain why each step is valid rather than copying symbols without understanding.

  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

Your classroom is ready.
Bring the work in front of you.

Use the trial to explore the CSU material, study a complete solution, and find out how Woody’s method fits your course.

  1. Open your CSU classroom. Calculus II, Calculus III, Differential Equations, Linear Algebra, or Linear Algebra for Data Science.
  2. Match your current topic. Use your syllabus, homework, and instructor’s review to choose relevant lessons and practice.
  3. Ask a focused question. Share what you tried and the step you cannot explain.
  4. Test your understanding. Rework the example, then solve a related problem independently.

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

More about the Mastery Lab and membership

Woody Calculus mathematics support for Colorado State University students
Colorado State coursework. Dedicated classrooms. Guidance from a former CSU instructor.
Five CSU classrooms. One membership.
When you want individual instruction

Private instruction for CSU students.

For students who want weekly private sessions, Woody brings 25+ years teaching university mathematics, his experience as a former CSU instructor, and more than 8 years working privately with CSU students.

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, data-science linear algebra, Abstract Algebra, Real Analysis, 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 CSU students

Know what you are joining.

Did Woody actually teach at Colorado State?

Yes. Woody was a graduate student in mathematics at CSU from 2000 to 2002 and also taught mathematics there. He now works independently through Woody Calculus and has worked privately with CSU students for more than 8 years, within a broader career of 25+ years teaching university mathematics.

Which CSU classrooms are inside the Mastery Lab?

There are dedicated CSU classrooms for Calculus II (MATH 161), Calculus III (MATH 261), Differential Equations (MATH 340 / 345), Linear Algebra (MATH 369), and Linear Algebra for Data Science (DSCI 369). The broader Lab also supports advanced algebra, analysis, number theory, and related mathematics.

Does the Lab include past CSU homework and exam solutions?

Yes. The core CSU libraries include worked homework and exam solutions from multiple semesters, review material, and exam-style practice. Available archives differ by course and semester. Use your current syllabus and instructor’s review to match the material to the course you are taking now.

Are MATH 369 and DSCI 369 the same course?

No. MATH 369 is Linear Algebra I. DSCI 369 is Linear Algebra for Data Science, with a stronger emphasis on projections, least squares, factorizations, and singular value decomposition. The Lab has dedicated CSU classrooms for both.

Can Woody help with abstract algebra, Galois theory, and real analysis?

Yes. Those subjects remain part of the broader advanced-mathematics support, alongside number theory and advanced calculus. Bring your exact course number, syllabus, and current problems. These subjects are separate from the five dedicated CSU classrooms highlighted above.

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 Colorado State University?

No. Woody is a former CSU instructor, but Woody Calculus is an independent education service. It is not affiliated with, sponsored by, or endorsed by Colorado State University.

Before Calculus II

Building your MATH 160 foundation?

MATH 160: Calculus for Physical Scientists I introduces limits, continuity, derivatives, and integration. Foundational study includes differentiation rules, optimization, related rates, elementary integrals, and applications.

Woody’s current instruction focuses on Calculus II and above. If you need to revisit the foundations before MATH 161, start with the free subject resources and bring your specific prerequisite questions.

Explore Calculus I foundations →

Keep learning

Go deeper into the mathematics.

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

Browse all mathematical essays →

Former CSU instructor · 25+ years teaching university mathematics

Your CSU course.
Your next step starts here.

Open your classroom, find a worked example, and bring Woody your next question. Build a study routine that helps you understand the method and use it independently.

7 days free, then $89/month.

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

Brian M. Woody · Woody Calculus
Former CSU instructor. Independent online mathematics instruction.

Colorado State University · CSU Department of Mathematics · Other universities supported

Woody Calculus is not affiliated with, sponsored by, or endorsed by Colorado State University. Course references identify the students and subjects served.