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. 17.1 - 17.6
2. Constrained optimization (general Lagrange problems): Ch. 18.1 - 18.4, 18.6 - 18.7
3. Implicit differentiation: Ch. 7.1,7.2, 15.1-15.3
4. Linear and polynomial approximations. Differentials: Ch. 7.4, 7.5, 15.8, 15.9
5. Elasticity: Ch. 7.7, 14.10
6. Homogeneous functions: Ch. 15.6
7. Non-linear programming: Ch. 20.1-20.3
8. Systems of equations: Ch. 15.10, 12.2
9. Gaussian elimination: Ch. 12.8
10. Matrix and vector algebra: Ch. 12.1 - 12.7
11. Determinants and inverse matrices: Ch. 13.1 - 13.8
12. Integration: Integration by parts and integration by substitution: Ch. 10.5 - 10.6
13. Differential equations: Ch. 11.9, 11.10