Notesbyoki

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Summaries and notes on the whole syllabus of WTW 164.

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Theme 1: Lines and Planes in Space [WTW 164] • Summary
Theme 2: Integration and Applications [WTW 164] • Summary
Theme 3: Complex Numbers [WTW 164] • Summary
Theme 4: More Ways of Describing Curves [WTW 164] • Summary
Theme 5: Partial Derivatives [WTW 164] • Summary

Theme 5: Partial Derivatives [WTW 164]

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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

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University of Pretoria • Mathematics WTW 164
Mathematics [WTW 164] • By NotesbyOki

Theme 4: More Ways of Describing Curves [WTW 164]

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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

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University of Pretoria • Mathematics WTW 164
Mathematics [WTW 164] • By NotesbyOki

Theme 3: Complex Numbers [WTW 164]

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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

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University of Pretoria • Mathematics WTW 164
Mathematics [WTW 164] • By NotesbyOki

Theme 2: Integration and Applications [WTW 164]

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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

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University of Pretoria • Mathematics WTW 164
Mathematics [WTW 164] • By NotesbyOki

Theme 1: Lines and Planes in Space [WTW 164]

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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