SMU mathematics.
Master the method.
Start with 7 days free in the Woody Calculus Mastery Lab.
Video lessons. Complete worked solutions. Direct guidance. Bring your SMU 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 SMU
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: MATH 1338 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 SMU 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.
SMU’s MATH 3311 explicitly connects proof with analysis.
That makes it a useful reference point when your work shifts from evaluating an expression to establishing why a statement is true. In 4338 analysis or 4355 groups and rings, bring the assumptions and the step your argument is missing.
For 1338, 3302, and 3313, focus on integration choices, multivariable setup, and differential-equation methods. Start in the Lab with your current assignment topic and learn a process you can repeat on your own.
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 SMU’s course names, numbers, and focused ways to prepare.
Calculus II
For MATH 1338: 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 1338 — Calculus II
- 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 MATH 3302: 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 3302 — Calculus III
- Partial derivatives and the chain rule
- Optimization
- Double and triple integrals
- Line and surface integrals
- Green, Stokes, and divergence theorems
Differential Equations
For MATH 3313: 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 3313 — Differential Equations
- First-order methods
- Higher-order linear equations
- Systems and eigenvalues
- Laplace transforms where assigned
- Qualitative behavior and stability
Linear Algebra
For MATH 3304: 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 3304 — Introduction to Linear Algebra
- Linear systems and row reduction
- Span, independence, and bases
- Linear transformations
- Eigenvalues and diagonalization
- Inner products and orthogonality
Abstract Algebra
For MATH 4355: 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 4355 — Groups and Rings
- Groups and subgroups
- Homomorphisms and quotients
- Rings and ideals
- Fields and polynomials
- Direct proof and counterexamples
Real Analysis & Advanced Calculus
For MATH 3311 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 3311 — Intro. to Proof and Analysis
- MATH 4338 — Analysis
- Sequences and limits
- Continuity and compactness
- Epsilon arguments
- Differentiation and integration
- Convergence of functions
Galois Theory
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
Bring your current syllabus and specific topic so Woody can confirm the scope. No unverified course number is assigned here.
- Field extensions and degrees
- Minimal and irreducible polynomials
- Splitting fields
- Automorphisms and fixed fields
- Galois correspondence
Number Theory
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
Bring your current syllabus and specific topic so Woody can confirm the scope. No unverified course number is assigned here.
- 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 SMU 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 SMU 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 SMU 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 SMU 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 SMU 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.
Where does abstract algebra fit in SMU’s course guide?
MATH 4355 is Groups and Rings. The guide keeps that official course name and also offers advanced subject support based on your syllabus.
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 SMU 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 Southern Methodist University (SMU)?
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. MATH 1337 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 SMU problem.
Course and study resources
- Southern Methodist University Calculus Tutor and Advanced Mathematics Help
- Calculus II
- Calculus III
- Ordinary Differential Equations
- Introduction to Linear Algebra
- Groups and Rings
- Analysis
- Calculus
- ★★★★★ 5-star reviews on Google
- private instruction with a mathematics professor
- Southern Methodist University Calculus, Differential Equations, and Advanced Mathematics Courses
- Calculus I help
- Taylor series and polynomial approximation
- Vector fields and line integrals
- Laplace transform methods
- Fourier series
- chaos theory, the Lorenz system, and Lyapunov exponents
- Möbius strip, orientation, vector calculus, and Stokes’ Theorem
- AP Calculus BC
- Related Woody Calculus Mathematical Essays
- How to Learn Calculus and Advanced Mathematics: A Peak Performance Study Guide
- Gabriel’s Horn Explained: Finite Volume, Infinite Surface Area in Calculus II
- Cantor Set Explained: Infinite Points, Zero Length in Real Analysis
- Galois Theory Explained: Hidden Symmetry and the Quintic
- University of Central Florida
- Purdue University
- University of Florida
- UCLA
- UC San Diego
- University of Illinois Urbana-Champaign
- Rutgers University
- UNC
- Auburn University
- University of Nevada, Reno
Other universities supported
- University of Texas Calculus Tutor
- Texas A&M Calculus Tutor
- University of Houston Calculus Tutor
- Texas State University Calculus Tutor
- Baylor University Calculus Tutor
- University of Kansas Calculus Tutor
- Kansas State University Calculus Tutor
- University of Oklahoma Calculus Tutor
- Oklahoma State University Calculus Tutor
- Colorado State University
- Georgia Tech
- Penn State
- Arizona State University
- Michigan State University
- Virginia Tech
- University of Washington
- University of Maryland
- Indiana University
- San Diego State University
Official references and student reviews
Learn the method.
Bring it to your SMU 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.