Teaching GuideTerm Faculty of Science |
Grao en Química |
Subjects |
Mathematics 1 |
Contents |
|
|
|
Identifying Data | 2023/24 | |||||||||||||
Subject | Mathematics 1 | Code | 610G01001 | |||||||||||
Study programme |
|
|||||||||||||
Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
Graduate | 1st four-month period |
First | Basic training | 6 | ||||||||||
|
Topic | Sub-topic |
• Differentiation | o Basic Rules of Differentiation. o The Chain Rule. o Techniques Differentiation. o L'Hôpital's Rule. Taylor's Theorem. o Applications of Differentiation. o Maxima and Minima. o Optimisation Problems. o The Newton-Raphson Method. |
• Integration | o Integration as Summation. o Fundamental Theorem of Calculus. o Some Basic Integrals. o Integration by Substitution. o Integration by Parts. o Integration of Rational Functions. o Geometrical Applications of Integration. o Numerical Integration. Simpson's Rule. o Improper Integrals. Integración numérica: método de Simpson. Integrales impropias. |
• Ordinary Differential Equations. | o First Order Differential Equations. o Separable First Order Differential Equations. o Linear First Order Differential Equations. o Applications of First Order Differential Equations. o Second Order Linear Differential Equations with Constant Coefficients. o Homogeneous Linear Systems with Constant Coefficients. |
• Linear Algebra | o Systems of Linear Equations o Elementary operations. o The Algebra of Matrices. o Determinants. Basic properties. o The determinant rank. o Eigenvalues and Eigenvectors. o Normal forms for matrices. o Cayley-Halmiton theorem. |
|