Automotive Mechanical Engineering
MATHEMATICS I
Description
Theory
1
Theory/Practice
2
Instructors
Maria da Graça Marcos
Contents
(CP1) Complements of differential calculus in R (15%)
Derivative of a function. Differential of a function.
(CP2) Integral calculus in R (60%)
Primitives of single variable functions.
Definite integral.
Improper integral.
(CP3) Series (25%)
Numerical series.
Functional series.
Learning Outcomes
QB1: Identify and analyse real functions, inverse functions, and function compositions.
QB2: Apply differentiation concepts and derivative rules to solve mathematical problems.
QB3: Solve problems involving differential and integral calculus.
QB4: Analyse and evaluate numerical series.
QB5: Compute and apply Taylor and Maclaurin series for function approximation.
QB6: Apply mathematical analysis techniques to formulate and solve engineering problems.
QB7: Use mathematical methods and tools to solve problems in specific areas of Engineering.