Differential calculus course
Enviado por Daniela.202212 • 17 de Enero de 2024 • Apuntes • 888 Palabras (4 Páginas) • 36 Visitas
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Universidad Politécnica Metropolitana de Puebla
SYLLABUS
DIFFERENTIAL CALCULUS COURSE
Instructor Information
Instructor: Dafnis Aguilar Farrera
E-mail: dafnis.aguilar@metropoli.edu.mx (preferred contact)
Telephone number: 2225773750 (Whatsapp only)
Dear students
Welcome to the Differential calculus course. This document outlines all the essential information about the differential calculus course. It lists the topics you will study, as well as the due dates of any coursework including tests, quizzes, or exams.
1. General objective
The student will determine the rate of change and the optimal solution in problems in their environment, through differential calculus to contribute to decision making in the efficient management of resources.
2. Course description
The course consists of three learning units. The first unit introduces the functions, limits, and continuity concept, how they are calculated and the graphic and analytic representation of them. In the second unit, it is introduced the concept of derivatives as rate of changes, the derivative as functions and differentiation formulas, and some examples of real-life use of derivatives are made Unit three deals with optimization, applications of differentiation, and maximum and minimum values are demonstrated. Throughout the course, the student will learn in a general way the implication of differential calculus in bioprocesses and biotechnology.
3. General competencies
Formulate the mathematical approach by identifying the variables to be analyzed and applying mathematical principles and theories, as well as logical-mathematical reasoning to describe the problem. Solve the problem through the application of mathematical principles, methods and tools, as well as the interpretation of results to contribute to decision making.
4. Topic Outline/Schedule
Week | Topic | Readings | Activities | Value | Due Date |
1 | Introduction to differential calculus | Moodle learning platform | Attendance Homework(60%)
Exams(40%)
| 10% 10% 10% 10% 10% 10% 20% 20% | 06/10/2023 15/09/2023 15/09/2023 22/09/2023 22/09/2023 29/10/2023 06/10/2023 22/09/2023 06/10/2023 |
2 | Functions and Limits | Mathematical Models: A Catalog of Essential Functions. Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
3 | Limits Calculation of limits | The Limit of a Function Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson Calculating Limits Using the Limit Laws Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
4 | Lateral limits | The Precise Definition of a Limit Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
5 | Continuity | Continuity Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
6 | Introduction to Derivatives | Derivatives and Rates of Change Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson The Derivative as a Function Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | Attendance Homework (60%)
Exams (40%)
| 10% 10% 10% 10% 10% 10% 20% 10% | 10/11/2023 13/10/2023 20/10/2023 27/10/2023 27/10/2023 03/11/2023 10/11/2023 27/10/2023 10/11/2023 |
7 | Derivative rules | Differentiation Formulas Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson Derivatives of Trigonometric Functions Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
8 | Derivative rules | The Chain Rule Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson Implicit Differentiation Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
9 | Derivative rules | Rates of Change in the Natural and Social Sciences Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
10 | Applications of Differentiation | ||||
11 | Applications of Differentiation | Maximum and Minimum Values Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | Attendance Homework (60%)
Exams (40%)
| 10% 10% 10% 10% 10% 10% 20% 10% | 8/12/2023 17/11/2023 24/11/2023 24/10/2023 01/12/2023 01/12/2023 08/12/2023 24/10/2023 08/12/2023 |
12 | Maximum and Minimum Values | Optimization Problems Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | |||
13 | Optimization methods | ||||
14 | Make-over exam | Calculus, Ninth Edition James Stewart, Daniel Clegg, Saleem Watson | Make-over exam | 80% | 13/12/2023 |
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