University

Level 6: University Foundation

Calculus I–II & linear algebra

This level is part of a complete math learning path that spans from foundations to research topics. Start with the first skills and move forward when you feel confident.

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Level 6: University Foundation

Core skills in this level

Limits (rigorous)

Differentiation techniques

Chain rule, product rule, quotient rule

Implicit differentiation

Related rates

Optimization problems

Curve sketching

Riemann sums

Definite and indefinite integrals

Integration techniques (substitution)

Integration by parts

Trigonometric integrals

Partial fractions

Improper integrals

Sequences and series

Taylor and Maclaurin series

Parametric equations

Polar coordinates (advanced)

Matrix operations

Determinants

Systems of linear equations

Vector spaces

Linear transformations