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Mastering Calculus

Offered By: Delft University of Technology via edX

Tags

Calculus Courses Differential Equations Courses Integrals Courses Partial Derivatives Courses Multivariable Functions Courses

Course Description

Overview

Whether you want to make a strong start to a master’s degree, solidify your knowledge in a professional context or simply brush up on fundamentals in calculus, this program will get you up to speed.

This program will enable you to review the relevant topics and offer you an overview of the calculus common in most engineering bachelor’s programs.

The courses in this program provide enough depth to cover the calculus you need to succeed in your engineering master’s or professional work in areas such as structural engineering, integrated product design, machine learning, geomatics and more.

In the first course you will review all the basic concepts and practice and refresh your skills, from functions to differential equations. By the end you will be able to solve a wide range of differential equations.

The second course will review all the basic concepts and you will practice and refresh the skills related to functions of several variables. Topics covered include contour plots, partial and directional derivatives, extreme values, double and triple integrals and common coordinate changes.

These courses are self-paced, self-contained and modular, to make it easier to review specific topics and practice as often as you want without having to follow the entire courses.

This program is ideal for:

  • Prospective engineering students who want to meet the prerequisites for a MSc program, be better prepared or refresh their mathematics knowledge before starting a master’s degree.
  • Engineering or bachelor students who realize that they have a gap in their math knowledge or would like an additional challenge in mathematics not offered by their studies.
  • Working professionals who would like to improve their math knowledge.
  • Anyone interested in university level mathematics.

    • This program will refresh your knowledge, test your skills and review the relations between the many concepts in calculus. As review courses, you are expected to have previously studied or be familiar with most of the material.

    This program is part of our series ‘Mastering Mathematics for Engineers’, together with ‘Mastering Linear Algebra’ and ‘Mastering Probability and Statistics’.


Syllabus

Courses under this program:
Course 1: Calculus I: From Functions to Differential Equations

Refresh and review your bachelor-level calculus. This course covers all the various differentiation and integration techniques and guides you through several important methods for solving differential equations.



Course 2: Calculus II: Multivariable Functions

This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable functions.




Courses

  • 0 reviews

    6 weeks, 4-6 hours a week, 4-6 hours a week

    View details

    A strong foundation in mathematics is critical for success in all science and engineering disciplines. Whether you want to make a strong start to a master’s degree, prepare for more advanced courses, solidify your knowledge in a professional context or simply brush up on fundamentals, this course will get you up to speed.

    This course allows you to get a solid basis by refreshing and reviewing your bachelor-level calculus.

    The course focuses on functions of one variable. In the first 5 weeks you will learn all the basic integration, differentiation and approximation techniques required in a first calculus course of an engineering bachelor education. In the final week these topics will all come together as you solve and analyze several ordinary differential equations.

    We use examples that are based on real-life applications so you can practice your mathematical skills in an engineering context. Our courses in calculus offer enough depth to cover what you need to succeed in your engineering master’s or profession in areas such as modeling, physics, fluid dynamics, dynamical systems and more.

    This is a review course
    This self-contained course is modular, so you do not need to follow the entire course if you wish to focus on a particular aspect. As a review course you are expected to have previously studied or be familiar with most of the material. Hence the pace will be higher than in an introductory course.

    This format is ideal for refreshing your bachelor level mathematics and letting you practice as much as you want. Through the Grasple platform, you will have access to plenty of exercises and receive intelligent, personal and immediate feedback.

    This course is part of our series Mastering Mathematics for Engineers , and together with the course Calculus II part of the program Mastering Calculus.

  • 0 reviews

    6 weeks, 4-6 hours a week, 4-6 hours a week

    View details

    A strong foundation in mathematics is critical for success in all science and engineering disciplines. Whether you want to make a strong start to a master’s degree, prepare for more advanced courses, solidify your knowledge in a professional context or simply brush up on fundamentals, this course will get you up to speed.

    Calculus is the branch of Mathematics that deals with differentiation and integration of functions; techniques that play a major role in solving many of the problems encountered in an engineer’s everyday life.

    This course will lay the foundations of multivariable calculus as it introduces differentiation and integration techniques for functions of two or more variables. Among other things you will learn to differentiate and linearize multivariable functions, find critical points and extreme values, and integrate multivariable functions using a variety of coordinate systems.

    Our courses in calculus offer enough depth to cover what you need to succeed in your engineering master’s or profession in areas such as modeling, physics, fluid dynamics, dynamical systems and more.

    This is a review course
    This self-contained course is modular, so you do not need to follow the entire course if you wish to focus on a particular aspect. As a review course you are expected to have previously studied or be familiar with most of the material. Hence the pace will be higher than in an introductory course.

    This format is ideal for refreshing your bachelor level mathematics and letting you practice as much as you want. Through the Grasple platform, you will have access to plenty of exercises and receive intelligent, personal and immediate feedback.

    This course is part of our series Mastering Mathematics for Engineers , and together with the course Calculus I part of the program Mastering Calculus.


Taught by

Niek de Kleijn, Willem Schouten-Straatman, Beryl van Gelderen and Maarten van Hoven

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