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GRE · GRE Subject Test · GRE Mathematics

Choose a lesson to begin. · ⁨Escolha uma lição para começar.⁩

Course units and learning goals · ⁨Unidades do curso e objetivos de aprendizagem⁩ →These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · ⁨Estas aulas ensinam objetivos selecionados do curso. Verifique as lacunas de cobertura restantes; o material não é um programa completo de preparação.⁩

1 C.1 · Single-variable calculus and applications 0 / 1

1 Single-variable calculus and applications · ⁨Cálculo de variável única e aplicações⁩

2 C.2 · Multivariable calculus and vector analysis 0 / 1

1 Multivariable calculus and vector analysis · ⁨Cálculo multivariável e análise vetorial⁩

3 A.1 · Linear algebra 0 / 1

1 Linear algebra · ⁨Álgebra linear⁩

4 A.2 · Abstract algebra and number theory 0 / 1

1 Abstract algebra and number theory · ⁨Álgebra abstrata e teoria dos números⁩

5 T.1 · Real analysis and topology 0 / 1

1 Real analysis and topology · ⁨Análise real e topologia⁩

6 T.2 · Discrete mathematics, probability and numerical methods 0 / 1

1 Discrete mathematics, probability and numerical methods · ⁨Matemática discreta, probabilidade e métodos numéricos⁩

7 T.3 · Complex analysis and residues 0 / 1

1 Complex analysis and residues · ⁨Análise complexa e resíduos⁩

8 C.3 · Differential equations and initial conditions 0 / 1

1 Differential equations and initial conditions · ⁨Equações diferenciais e condições iniciais⁩

9 A.3 · Groups, cosets and quotient maps 0 / 1

1 Groups, cosets and quotient maps

10 A.4 · Rings, ideals and modules 0 / 1

1 Rings, ideals and modules

11 A.5 · Polynomials and field extensions 0 / 1

1 Polynomials and field extensions

12 A.6 · Congruences, divisibility and arithmetic functions 0 / 1

1 Congruences, divisibility and arithmetic functions

13 T.4 · Sequences, series and uniform convergence 0 / 1

1 Sequences, series and uniform convergence

14 T.5 · Open sets, compactness and connectedness 0 / 1

1 Open sets, compactness and connectedness

15 C.4 · Taylor expansions and power-series endpoints 0 / 1

1 Taylor expansions and power-series endpoints

16 C.5 · Improper integrals and geometric applications 0 / 1

1 Improper integrals and geometric applications

17 C.6 · Multivariable extrema and constrained optimisation 0 / 1

1 Multivariable extrema and constrained optimisation

18 C.7 · Coordinate changes and vector integral theorems 0 / 1

1 Coordinate changes and vector integral theorems

19 T.6 · Functions, inverse branches and composition 0 / 1

1 Functions, inverse branches and composition

20 T.7 · Set images, equivalence relations and logical negation 0 / 1

1 Set images, equivalence relations and logical negation

21 T.8 · Conditioning, Bayesian inference and sampling error 0 / 1

1 Conditioning, Bayesian inference and sampling error

22 T.9 · Similarity, scaling and conic distance loci 0 / 1

1 Similarity, scaling and conic distance loci

23 C.8 · Trigonometric phase and parametric curves 0 / 1

1 Trigonometric phase and parametric curves

24 T.10 · Vector geometry, projections and oriented area 0 / 1

1 Vector geometry, projections and oriented area

25 C.9 · Integrating factors and nonhomogeneous differential equations 0 / 1

1 Integrating factors and nonhomogeneous differential equations

26 T.11 · Weak compositions, loop invariants and flowchart tracing 0 / 1

1 Weak compositions, loop invariants and flowchart tracing

27 C.10 · Implicit differentiation and the inverse Jacobian 0 / 1

1 Implicit differentiation and the inverse Jacobian

28 A.7 · LU factorisation and nullity of composed maps 0 / 1

1 LU factorisation and nullity of composed maps

29 C.11 · Integration by parts, order reversal and symmetry 0 / 1

1 Integration by parts, order reversal and symmetry

30 C.12 · Related rates and removable quotient limits 0 / 1

1 Related rates and removable quotient limits

31 T.12 · Metric completeness and closure from a basis 0 / 1

1 Metric completeness and closure from a basis