Notesbyoki
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Mathematics [WTW 164]
Summaries and notes on the whole syllabus of WTW 164.
- Package deal
- • 5 items •
- 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
Summaries and notes on the whole syllabus of WTW 164.
Theme 5: Partial Derivatives [WTW 164]
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
- Package deal
- Summary
- • 8 pages •
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
Theme 4: More Ways of Describing Curves [WTW 164]
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
- Package deal
- Summary
- • 19 pages •
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
Theme 3: Complex Numbers [WTW 164]
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
- Package deal
- Summary
- • 6 pages •
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
Theme 2: Integration and Applications [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 of revolution 
2.9) Arc length 
2.10) Area of a surface of revolution
- Package deal
- Summary
- • 18 pages •
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
Theme 1: Lines and Planes in Space [WTW 164]
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
- Package deal
- Summary
- • 19 pages •
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
Theme 1: Real Functions of Several Variables [WTW 258]
Summary on all units under theme 1 of WTW 258
- Package deal
- • 3 items •
- Tangent Planes (WTW 258) • Summary
- The Chain Rule (WTW 258) • Summary
- Partial Derivatives (WTw 258) • Summary
Summary on all units under theme 1 of WTW 258
Functions of Several Variables (WTW 258)
Theme 1.1 Summary for WTW 258
- Summary
- • 6 pages •
Theme 1.1 Summary for WTW 258
Directional Derivatives and the Gradient Vector (WTW 258)
Theme 1.5 Summary for WTW 258
- Summary
- • 4 pages •
Theme 1.5 Summary for WTW 258
Maximum and Minimum Values of Functions of Several Variables (WTW 258)
Theme 1.6 Summary for WTW 258
- Summary
- • 3 pages •
Theme 1.6 Summary for WTW 258
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Electrostatics [Grade 11 Physical Sciences]
Atomic Combinations & Molecular Structure [Grade 11 Physical Sciences]