Review of basic concepts and matehmatical tools from High School Mathematics. Real and complex numbers. Solving problems of Lesson 1 Solving problems in class by the students, under the supervision of the teacher.

Specific Objectives

The objective is to try to unify the notation and knowledge of students coming from high school as a starting point to begin the degree in marine sciences and technologies. Learn the benefits of using an appropriate mathematical notation to solve mathematical problems and writing theirs solutions. Help students individually in those difficulties they may encounter when trying to solve a problem

Dedication

Functions. Operations with functions. Limits and continuity. Elementary functions. Numerical sequences and series. Solving problems of Lesson 2 Solving problems in class by the students, under the supervision of the teacher.

Specific Objectives

To understand the definiton of a function and to work with funcions of one real variable. Learn the appropriate techniques to solve problems in lesson 2 and write their solutions. Help students individually in those difficulties they may encounter when trying to solve a problem

Dedication

Systems of linear equations and matrices. Affine geometry of the plane and space. Counting and probability techniques. Problems of Lesson 3. Solving a problem in class by the students, under the teacher's supervision.

Specific Objectives

Review the basic concepts of linear algebra and geometry and probability in finite spaces. Learn the appropriate techniques to solve problems in Lesson 3 and write their solutions. Help students individually in those difficulties they may encounter when trying to solve a problem.

Dedication

Derivative. Rolle's and mean value theorems. Applications. Extremes. Solving problems in class. Solving problems in class by the students, under the supervision of the teacher.

Specific Objectives

Review the basic concepts of the differential calculus of a variable. Know how to identify when a function is or is not differentiable at a point. Solving extremes and optimization problems. Help students individually in those difficulties they may encounter when trying to solve a problem.

Dedication

The integral defined as the area under a curve. Primitives and Barrow's rule. Calculation of areas and volumes of bodies of revolution. Numerical calculation of integrals (trapezoids, Simpson). Solving a class of problems of Lesson 5. Solving a problem in class by the students, under the teacher's supervision.

Specific Objectives

Learn to interpret the integral defined as area under a curve, and the relationship between integrals and primitives. See how the value of an integral can be numerically approximated. See applications of the integral to the calculation of areas, volumes of bodies of revolution, etc. Learn the benefits of integral calculus. Knowing how to calculate integrals defined both analytically and numerically. Help students individually in those difficulties they may encounter when trying to solve a problem.

Dedication

Dedication