Excerpt from course description

Mathematical Analysis

Introduction

Mathematical analysis is an advanced math course that is based on the first-year course in mathematics.

Course content

Chapter references to Sydsæter et. al:

  1. Multivariable optimization problems for functions of several variables: Ch. 13.1 - 13.6
  2. Constrained optimization (general Lagrange problems): Ch. 14.1-14.4, 14.6, 14.7
  3. Implicit differentiation: Ch. 7.1,7.2, 12.1-12.3
  4. Linear and polynomial approximations. Differentials: Ch. 7.4, 7.5, 12.8, 12.9
  5. Elasticity: Ch. 7,7, 11.8
  6. Homogeneous functions: Ch. 12.6
  7. Non-linear programming: Ch. 14.8, 14.9
  8. Systems of equations: Ch. 12.10, 15.1
  9. Gaussian elimination: Ch. 15.6
  10. Matrix and vector algebra: Ch. 15.1 - 15.5, 15.7
  11. Determinants and inverse matrices: Ch. 16.1 - 16.8
  12. Integration: Integration by parts and integration by substitution: Ch. 9.4 – 9.6
  13. Differential equations: Ch. 9.8, 9.9

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