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Topic hub

GRE Math Subject Test topic guides: start with the topics that unlock the most progress.

If you want public GRE Mathematics Subject Test topic pages that map to the real study graph, start with these high-leverage guides across algebra, functions, graph behavior, calculus, and linear algebra.

12 public topic pages Answer-first format Direct app handoff
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Starter set

These public topic guides are built around the trunk and first branches of the graph.

These pages use the curriculum seed, the concept graph, and the same dependency-first teaching logic the app uses internally.

Simplify $$\frac{x^2-9}{x^2-3x}$$ and state all excluded values.
Algebra and symbolic fluency Highest leverage Clean starting point

Algebra review

Simplify multi-step expressions without introducing sign or domain errors.
Let $$f(x)=x^2+1$$ and $$g(x)=3x-2$$. Find $$(f\circ g)(x)$$.
Algebra and symbolic fluency Highest leverage 1 earlier topic

Functions review

Read and use function notation comfortably.
For $$f(x)=\frac{x-1}{x+2}$$, identify the x-intercept, vertical asymptote, and horizontal asymptote.
Algebra and symbolic fluency Highest leverage 1 earlier topic

Graph behavior review

Recognize major graph families and their signature behavior.
Find $$\sin(5\pi/6)$$.
Algebra and symbolic fluency Highest leverage 1 earlier topic

Trigonometry review

Use the unit circle and reference-angle logic fluently.
Evaluate $$\lim_{x\to 3} \frac{x^2-9}{x-3}$$.
Calculus Highest leverage 2 earlier topics

Limits and continuity

Interpret limits numerically, graphically, and algebraically.
Differentiate $$f(x)=(3x^2-1)^5$$.
Calculus Highest leverage 1 earlier topic

Derivatives review

Interpret the derivative as rate of change and slope.
Evaluate $$\int_0^2 (3x^2+1)\,dx$$.
Calculus Highest leverage 2 earlier topics

Integrals review

Interpret integrals as accumulation and signed area.
Does $$\sum_{n=0}^{\infty}\left(\frac12\right)^n$$ converge, and if so to what?
Calculus High leverage 3 earlier topics

Sequences and series

Choose convergence tools and distinguish sequence behavior from series behavior.
Solve $$x+y=3$$ and $$x-y=1$$.
Linear algebra Highest leverage 3 earlier topics

Linear algebra review

Represent and solve linear systems using matrix language.
Does $$(2,3)$$ lie in the span of $$(1,1)$$ and $$(1,2)$$?
Linear algebra High leverage 2 earlier topics

Span, basis, dimension

Decide whether a vector lies in the span of a set.
For $$A=\begin{bmatrix}2&1\\1&3\end{bmatrix}$$, compute the determinant and interpret it.
Linear algebra High leverage 2 earlier topics

Determinants review

Interpret a matrix as a transformation, not just a table of numbers.
Find the eigenvalues of $$\begin{bmatrix}2&0\\0&5\end{bmatrix}$$.
Linear algebra Moderate leverage 2 earlier topics

Eigenvalues and eigenvectors

Find eigenvalues and eigenvectors for manageable matrices.
Next step

Find the right page, then move into the app.

The public guides answer the first question. The app keeps the study sequence moving after that.

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