Standard syllabus
Thesis / research support · Graduate · Math
Learning objectives from the Thesis / research support syllabus, grouped by unit. Click an objective for study materials.
Topics typically covered
Click a topic for the full text and related unit practice.
Graduate Thesis / Research Support — scope drawn from typical graduate research-seminar and thesis-support outlines.
Research development
- Research question refinement and scope — Research question refinement and scope
- Literature review structure — Literature review structure
- Source evaluation — Source evaluation
- Proof sketches — Proof sketches
- Technical lemma development — Technical lemma development
Writing and presentation
- Thesis and dissertation chapter organization — Thesis and dissertation chapter organization
- Mathematical writing clarity — Mathematical writing clarity
- Notation consistency — Notation consistency
- Feedback on drafts and revision cycles — Feedback on drafts and revision cycles
Defense preparation
- Defense talk structure and timing — Defense talk structure and timing
- Anticipating committee questions — Anticipating committee questions
- Slide and board presentation practice — Slide and board presentation practice
Learning objectives
Click an objective for study materials.
Research development
- Research question refinement and scope — Research question refinement and scope
- Literature review structure — Literature review structure
- Source evaluation — Source evaluation
- Proof sketches — Proof sketches
- Technical lemma development — Technical lemma development
Writing and presentation
- Thesis and dissertation chapter organization — Thesis and dissertation chapter organization
- Mathematical writing clarity — Mathematical writing clarity
- Notation consistency — Notation consistency
- Feedback on drafts and revision cycles — Feedback on drafts and revision cycles
Defense preparation
- Defense talk structure and timing — Defense talk structure and timing
- Anticipating committee questions — Anticipating committee questions
- Slide and board presentation practice — Slide and board presentation practice
Definitions and structure
- Research question refinement and scope — Research question refinement and scope
- Literature review structure — Literature review structure
- Source evaluation — Source evaluation
- Proof sketches — Proof sketches
- Technical lemma development — Technical lemma development
Proofs and reasoning
- Thesis and dissertation chapter organization — Thesis and dissertation chapter organization
- Mathematical writing clarity — Mathematical writing clarity
- Notation consistency — Notation consistency
- Feedback on drafts and revision cycles — Feedback on drafts and revision cycles
- Defense talk structure and timing — Defense talk structure and timing
Abstraction and generalization
- Anticipating committee questions — Anticipating committee questions
- Slide and board presentation practice — Slide and board presentation practice
Modeling and computation
- Apply research question refinement and scope in engineering contexts — Apply research question refinement and scope in engineering contexts
- Apply literature review structure in engineering contexts — Apply literature review structure in engineering contexts
- Apply source evaluation in engineering contexts — Apply source evaluation in engineering contexts
- Apply proof sketches in engineering contexts — Apply proof sketches in engineering contexts
- Apply technical lemma development in engineering contexts — Apply technical lemma development in engineering contexts
Data and technology
- Use software to explore thesis / research support problems numerically — Use software to explore thesis / research support problems numerically
- Interpret computational results against analytic predictions — Interpret computational results against analytic predictions
- Build spreadsheets or scripts for routine calculations — Build spreadsheets or scripts for routine calculations
- Visualize functions, fields, or datasets tied to course topics — Visualize functions, fields, or datasets tied to course topics
- Connect course methods to lab, industry, or research workflows — Connect course methods to lab, industry, or research workflows
Problem-solving practice
- Thesis and dissertation chapter organization — Thesis and dissertation chapter organization
- Mathematical writing clarity — Mathematical writing clarity
- Notation consistency — Notation consistency
- Feedback on drafts and revision cycles — Feedback on drafts and revision cycles
- Defense talk structure and timing — Defense talk structure and timing
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Research development
Research question refinement and scope
Coming soon - Writing and presentation
Thesis and dissertation chapter organization
Coming soon - Defense preparation
Defense talk structure and timing
Coming soon
Pricing calculator
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$1,162 · Thesis / research support · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.