Mathematics [WTW 164]

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 o...

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

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

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