Mathematics WTW 164 (WTW164)

Notes and summaries on Theme 5: 5.1) Functions of several variables 5.2) Limits and continuity 5.3) Partial derivatives 5.4) Tangent planes

Notes on theme 4: 4.1.1) Parametric equations 4.1.2) Calculus with parametric curves 4.1.3) Polar coordinates 4.1.4) Conic sections 4.2.1) Vector functions and space curves 4.2.2) Derivates of vector functions

Summaries on theme 3: 3.1) Operations, conjugate and modulus of a complex number. 3.2) Polar form and DeMoivre's theorem 3.3) Factorization of polynomials

Summaries of Theme 2: 2.1) The fundamental theorem of calculus 2.2) Indefinite integrals and the net change theorem 2.3) Integration techniques 2.4) Trigonometric substitutions 2.5) Integration by partial fractions 2.6) Improper integrals 2.7) Area between two curves 2.8) Volume of a solid of revolution 2.9) Arc length 2.10) Area of a surface of revolution

Summaries on all subsections of Theme 1: 1.1) Lines and planes 1.2) Systems of linear equations 1.3) Gaussian elimination 1.4) Matrix algebra 1.5) The inverse of a square matrix 1.6) The determinant of a matrix