Applications of integrals Area between two curves – volumes by slicing- volumes by cylindrical shells – length of a plane curve – area of surface revolution
Improper integrals
L’ Hopital rules
Sequencies
Infinite series Convergence tests – alternating series
Power series Maclaurin and Taylor series – convergence – differentiation and integration of power series
Differential equations First order differential equations – Second order linear differential equations
Linear Algebra Systems of linear systems – Matrices -Determinants – Vectors – Vector spaces – Eigenvalues and eigenfunctions
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