Description

Theory
1

Theory/Practice
1

Instructors

Marisa Guerra Pereira

Contents

CP1: Ordinary differential equations (EDO): First order equations: separable, homogeneous and linear. Second-order equations: linear.
CP2: Functions of two or more variables: limits and continuity, partial derivates, differentiability, differentials, the chain
rule, directional derivates, Gradients, maxima and minima.
CP3. Multiple Integrals: double integrals: evaluate and applications.

Learning Outcomes

OB1: Perform the fundamental operations of multivariable differential and integral calculus and implement its applications on several engineering issues.
OB2: The student should be able to identify and solve first and second ordinary differential equations.
OB3: Recognize the importance and apply the different mathematical techniques studied on this Mathematical Analysis course on the formulation and in the resolution of different problems.
OB4: These knowledge should be applied to specific problems in their area of Engineering.
OB5: Manipulate methods and techniques to solve ordinary differential equations of 1st and 2nd order.
OB6: Apply and understand the definitions of limit, continuity and derivative of functions of several variables.
OB7: Use the techniques of differential calculus to determine maxima and minima of functions of several variables.
OB8: Use the integration techniques to evaluate double and triple integrals.
OB9: Apply the integration techniques to evaluate areas and volumes.