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Advanced Mathematics Mastery course at EduGlobal Institute
Mathematics & STEM / Competitive Exam Prep

Advanced Mathematics Mastery — Integration, Linear Algebra, Probability & Game Theory

EG

EduGlobal Masterclass

1-on-1 Remote Mentorship

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Level
Intermediate
Duration
16 weeks
Each week
3 hours
Mode
Online
Fee
Free

Integral Cup 2026 Official Preparation Program

Advanced Mathematics Mastery

Integration · Linear Algebra · Probability · Game Theory

🇺🇸 United States 🇬🇧 United Kingdom 🇮🇳 India
38
Curriculum units
4
Expert tracks
200+
Practice problems
Self-paced
Learn anywhere

Who is this course for?

🎓
Undergrad & Grad Students
MIT, Oxford, IIT, UCL, Stanford, IISc — build the rigorous math foundations your programme expects.
🏆
Competition Participants
Integral Cup, Putnam, IMO, CMI entrance, USAMO — get structured prep aligned to real competition syllabi.
🤖
ML & AI Engineers
Understand the maths behind transformers, diffusion models, GPs, and optimisation — not just the APIs.
📈
Quant & Finance Professionals
SDEs, optimal transport, game theory, Bayesian inference — the quantitative toolkit for modern finance.

What you will master

Single & multivariable integration, Fourier & Laplace transforms
Gradient descent, KKT conditions & convex optimisation
Eigenvalues, SVD, tensor decomposition & optimal transport
Probability, measure theory & Brownian motion
PAC learning, Rademacher complexity & generalisation bounds
MCMC, variational inference & Gaussian processes
Diffusion models, score matching & SDEs
Nash equilibria, Sprague-Grundy & backward induction

4-track curriculum — 38 units

Every topic is sequenced so prerequisites always come first. Official Integral Cup 2026 content highlighted.

Track 1 Integration & Analysis 16 units
Basic integrals & substitution Infinite series & summation Limits & continuity MVT & differentiability Riemann–Lebesgue sums ODEs & Laplace transforms Fourier transforms ★ Multivariable calculus ★ Gradient descent & optimisation ★ Autodiff & backpropagation ★ Variational calculus & Euler–Lagrange ★ Riemannian optimisation ★ Neural ODEs & Hamiltonian dynamics ★ SDEs & score matching
Track 2 Linear Algebra & Optimisation 13 units
Matrices & determinants Vector spaces & linear maps Eigenvalues & SVD Convex optimisation & KKT Linear programming & simplex ★ Spectral graph theory ★ Kernel methods & RKHS ★ Tensor decomposition (CP, Tucker) ★ Random matrix theory ★ Optimal transport ★ Attention & positional embeddings ★ Neural tangent kernel ★ Manifold learning & PCA
Track 3 Probability & Statistics 19 units
Random variables & distributions Joint distributions & CLT Statistical inference & testing Markov chains Bayesian statistics & queuing ★ Measure theory ★ Information theory & KL divergence ★ Concentration inequalities ★ PAC learning & VC dimension ★ Variational inference & ELBO ★ MCMC & Gibbs sampling ★ Gaussian processes ★ Brownian motion & Itô calculus ★ Diffusion probabilistic models ★ Causal inference & high-dim stats
Track 4 Game Theory 6 units
Strategic & extensive form games Nash equilibria Rationalizable strategies Zero-sum & impartial games Sprague–Grundy theorem Backward & forward induction

⬛ Standard = official Integral Cup 2026 syllabus  |  ★ Extended = advanced AI/ML mathematics layer

Trusted by serious learners worldwide

3,800+
Active students
4.9 / 5
Average rating
28
Countries enrolled
94%
Completion rate

What students say

★★★★★

"The curriculum sequencing is genius — everything builds perfectly on what came before. I finally understand the maths behind transformers."

Priya S.
IIT Bombay, India
★★★★★

"Placed top 50 in the Integral Cup after three weeks of study. The sample-problem alignment to curriculum units is something no other course offers."

James T.
University of Cambridge, UK
★★★★★

"As an ML engineer at a top US lab, I needed the real math — not tutorials. This course gave me Itô calculus, NTK, and optimal transport in one place."

Marcus R.
Senior ML Engineer, San Francisco

Frequently asked questions

Do I need prior university-level maths?
A solid A-Level / AP Calculus / Class 12 CBSE foundation is enough. The curriculum is sequenced from first principles — Units 1A through 1D cover everything from scratch before advancing.
Is this course good for Integral Cup 2026 prep?
Yes — the official Integral Cup 2026 Grand Prix syllabus is the backbone of this curriculum. Every sample problem is mapped to specific units in the course.
How long does the course take to complete?
Most students complete the full 38-unit programme in 12–16 weeks studying 8–10 hours per week. You can also pick individual tracks (roughly 3–4 weeks each at the same pace).
Is there a certificate?
Yes — a verified digital certificate is awarded on completing all 38 units and passing the final assessments. Recognised by STEMvibe and shareable on LinkedIn.

What students will be able to do

  • Work confidently with algebraic manipulation and functions
  • Apply integration and differentiation techniques accurately
  • Reason with linear algebra: vectors, matrices and transformations
  • Write a clear mathematical argument step by step
  • Move from routine exercises to unfamiliar problems

Common questions

Who is this course for?

Students who can handle school mathematics but find olympiad or entrance-exam problems unfamiliar. It bridges that gap.

Which topics are covered?

Algebra, functions, calculus, linear algebra and introductory probability, with emphasis on reasoning rather than recall.

Is this enough for olympiad preparation?

It builds the foundation. Olympiad training then adds combinatorics, number theory and proof technique on top.

How much practice is expected?

Roughly three to four hours a week outside class. Mathematics at this level is learned by solving problems, not by watching them solved.

Can a Class 9 student join?

Yes, if comfortable with Class 9 algebra. The pace is set by ability rather than school year.

End of Syllabus. Apply for Admission

Book a trial

Three sessions with the mentor who would teach the full course. Nothing is charged until your slot is confirmed.

INR 599 from, by class
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  • A diagnostic, a taught class and written feedback
  • Taught by the mentor who leads the course
  • You pick the slot from our live calendar
  • Pay only after the slot is confirmed
Level
Intermediate
Duration
16 weeks
Each week
3 hours
Mode
Online
Fee
Free
Talk to us

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Tell us about the student and we will reply with an honest view of whether this programme fits. If you would like to see the teaching first, add a trial class.

  • No obligation - send the enquiry without booking anything
  • Three sessions if you do book: a diagnostic, a taught class and feedback
  • Taught by the mentor who would lead the full course
  • You choose the slots from our calendar after payment
Trial fee by class, if you book
Class 1 to 5 3 sessions INR 599
Class 6 to 8 3 sessions INR 799
Class 9 and 10 3 sessions INR 899
Class 11 and 12 3 sessions INR 999
Graduation and above 4 sessions INR 1,099

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Problem sets, strategy guides and olympiad registration deadlines — sent when they matter, never more than twice a month.