Mathematical analysis is an advanced math course that is based on the first-year course in mathematics.
Chapter references to Sydsæter et. al:
- Multivariable optimization problems for functions of several variables: Ch. 17.1 - 17.6
- Constrained optimization (general Lagrange problems): Ch. 18.1 - 18.4, 18.6 - 18.7
- Implicit differentiation: Ch. 7.1,7.2, 15.1-15.3
- Linear and polynomial approximations. Differentials: Ch. 7.4, 7.5, 15.8, 15.9
- Elasticity: Ch. 7.7, 14.10
- Homogeneous functions: Ch. 15.6
- Non-linear programming: Ch. 20.1-20.3
- Systems of equations: Ch. 15.10, 12.2
- Gaussian elimination: Ch. 12.8
- Matrix and vector algebra: Ch. 12.1 - 12.7
- Determinants and inverse matrices: Ch. 13.1 - 13.8
- Integration: Integration by parts and integration by substitution: Ch. 10.5 - 10.6
- Differential equations: Ch. 11.9, 11.10
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