MAT165: LINEAR ALGEBRA AND VECTOR ANALYSIS
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Course outline
- Vectors and geometry: Operations. Lines, planes and surfaces.
- Matrix algebra: Operations. Inversion. Determinants. Gauss-Jordan. Applications.
- Vector functions: Curves. Derivatives. Integrals. Tangent lines. Arc lengths. Curves and parametric surfaces
- Scalar fields: Partial derivatives. Tangent planes. Linear approximations. Compound functions. Directional derivatives. Gradient.
- Optimization: Extremums. Second derivative test. Extreme value theorem. Lagrange's method.
- Multiple integrals: Double integrals in Cartesian and polar coordinates. Triple integrals in Cartesian, cylindrical and spherical coordinates. Applications.
- Vector analysis: Vector field. Curvilinear integrals. Conservative field and potential function. Curvilinear integral theorem. Green's theorem.
Course content
In the package :
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- Access to all TutoLabs.
- Track your progress.
- Unlimited replay access to all sessions.
- Access to all Question Periods.
- Access to LiveChat.
- Intra AND Final review guide.
- Unlimited access to all Quizzes.
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