Mathematics
Education Path to achieve the degree Mathematics

This is the path to get alternative degree in Mathematics with MOOCs and other online courses

Semester 1

  • Calculus I Choose one of alternatives:

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16 0 0

Prepare for the College Mathematics CLEP Exam through Education Portal's brief video lessons on mathematics. This course covers topics ranging from real number systems to probability and statistics. You'll learn to use the midpoint and distance for…

4 0 0

Calculus can be thought of as the mathematics of CHANGE. Because everything in the world is changing, calculus helps us track those changes. Algebra, by contrast, can be thought of as dealing with a large set of numbers that are inherently CONSTANT.

84 0 0

Calculus One is a first introduction to differential and integral calculus, emphasizing engaging examples from everyday life.

4 0 0

Videos on a first course in calculus (Differential Calculus).

4 0 0

This chemistry survey is designed to introduce students to the world of chemistry.  The principles of chemistry were first identified, studied, and applied by ancient Egyptians in order to extract metal from ores, make alcoholic beverages, glaze pot…

  • General Physics Choose one of alternatives:

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281 1 0

Study physics abroad in Europe -- virtually! Learn the basics of physics on location in Italy, the Netherlands and the UK, by answering some of the discipline's major questions from over the last 2000 years.

3 0 0

Physics 140 offers introduction to mechanics, the physics of motion. Topics include: linear motion, vectors, projectiles, relative velocity and acceleration, Newton's laws, particle dynamics, work and energy, linear momentum, torque, angular momentum…

  • Social Science Electives. Choose one or more.

26 0 0

This course is all about you ... your mind, your behavior, and what underlies them both. It will be a fast paced tour of the most important experiments in psychology, one that is intended to fascinate, inform, and provoke deep thought. Come learn a…

110 0 0

In this class we will cover the essentials of sociology, to help you better understand your own life and situations far from your experience.

7 0 0

This class introduces students to the methods and perspectives of cultural anthropology. Readings emphasize case studies in very different settings (a nuclear weapons laboratory, a cattle-herding society of the Sudan, and a Jewish elder center in Los…

55 0 0

Rhetorical Composing engages you in a series of interactive reading, research, and composing activities along with assignments designed to help you become more effective consumers and producers of alphabetic, visual and multimodal texts. Join us to…

Semester 2

  • Calculus II Choose one of alternatives:

OR
6 0 0

Videos on a second course in calculus (Integral Calculus).

4 0 0

This course is the second installment of Single-Variable Calculus.  In Part I (MA101 [1]), we studied limits, derivatives, and basic integrals as a means to understand the behavior of functions.  While this end goal remains the same, we will now fo…

5 0 0

This course is the second installment of Single-Variable Calculus.  In Part I (MA101) [1], we studied limits, derivatives, and basic integrals as a means to understand the behavior of functions.  In this course (Part II), we will extend our differe…

16 0 0

This free online course in Chemistry looks at elements, electrochemistry and food chemistry among other topics. It is an ideal course to engage students and help them grapple with the subject matter in an interactive and self-paced manner. It is part…

25 0 0

This is a continuation of Fundamentals of Physics, I (PHYS 200), the introductory course on the principles and methods of physics for students who have good preparation in physics and mathematics. This course covers electricity, magnetism, optics and…

  • History Electives. Choose one or more.

18 0 0

In this course, we will study the emergence of the major civilizations of the ancient world, beginning with the Paleolithic Era (about 2.5 million years ago) and finishing with the end of the Middle Ages in fifteenth century A.D. We will pay special…

290 0 0

This course will examine the ways in which the world has grown more integrated yet more divided over the past 700 years.

12 0 0

Great managers are made, not born. Learn about the qualities and skills of great managers in this Business 101 course. Instructor Sherri Hartzell holds both an MBA and Ed.D., so she's an excellent choice to teach you about principles of management. S…

  • Philosophy or Theology Electives. Choose one or more.

105 1 0

This course will introduce you to some of the most important areas of research in contemporary philosophy. Each week a different philosopher will talk you through some of the most important questions and issues in their area of expertise.

10 0 0

Philosophy and the Science of Human Nature pairs central texts from Western philosophical tradition (including works by Plato, Aristotle, Epictetus, Hobbes, Kant, Mill, Rawls, and Nozick) with recent findings in cognitive science and related fields.

7 0 0

This course will introduce you to the major topics, problems, and methods of philosophy and surveys the writings of a number of major historical figures in the field. Philosophy can be - and has been - defined in many different ways by many different…

Semester 3

  • Linear Algebra Choose one of alternatives:

OR
90 0 0

Matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although…

10 0 0

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels the combination of theory and applications in Professo…

5 0 0

This course is an introduction to linear algebra.  It has been argued that linear algebra constitutes half of all mathematics.  Whether or not everyone would agree with that, it is certainly true that practically every modern technology relies on l…

  • Calculus III Choose one of alternatives:

OR
6 0 0

Multivariable Calculus is an expansion of Single-Variable Calculus in that it extends single variable calculus to higher dimensions.  You may find that these courses share many of the same basic concepts, and that Multivariable Calculus will simply…

11 0 0

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics. Course Formats…

5 0 0

Multivariable Calculus is an expansion of Single-Variable Calculus in that it extends single variable calculus to higher dimensions.  You may find that these courses share many of the same basic concepts, and that Multivariable Calculus will simply…

  • Language Electives. Choose one or more.

17 0 0

Traveling to a Spanish speaking country? Learn the basic Spanish to make the most of your trip.

16 0 0

French is spoken by millions of people in many countries around the world and is a very popular second language to learn. ALISON's free online course is a series of engaging video lessons for beginners that introduces the learner to various aspects o…

20 0 0

A thorough but gentle introduction to the Chinese language from a native-speaker…

16 0 0

This is a 3 credit course for students with no background in Spanish to become competent in communicating through listening, speaking, reading, and writing. This open course will create and provide resources reusable under creative commons standards.

  • Philosophy or Theology Electives. Choose one or more.

105 1 0

This course will introduce you to some of the most important areas of research in contemporary philosophy. Each week a different philosopher will talk you through some of the most important questions and issues in their area of expertise.

10 0 0

Philosophy and the Science of Human Nature pairs central texts from Western philosophical tradition (including works by Plato, Aristotle, Epictetus, Hobbes, Kant, Mill, Rawls, and Nozick) with recent findings in cognitive science and related fields.

7 0 0

This course will introduce you to the major topics, problems, and methods of philosophy and surveys the writings of a number of major historical figures in the field. Philosophy can be - and has been - defined in many different ways by many different…

  • Science Elective Electives. Choose one or more.

44 0 0

Explore the secret of life through the basics of biochemistry, genetics, molecular biology, recombinant DNA, genomics and rational medicine.

16 0 0

This course presents the principles of evolution, ecology, and behavior for students beginning their study of biology and of the environment. It discusses major ideas and results in a manner accessible to all Yale College undergraduates. Recent advan…

Semester 4

5 0 0

The main purpose of this course is to bridge the gap between introductory mathematics courses in algebra, linear algebra, and calculus on one hand and advanced courses like mathematical analysis and abstract algebra, on the other hand, which typicall…

  • Differential Equations Choose one of alternatives:

OR
89 0 0

Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here. What is a differential equation. Separable Differential Equations. Separable diffe…

17 0 0

The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equatio…

15 0 0

Topics covered in a first year course in differential equations.

7 0 0

Differential equations are, in addition to a topic of study in mathematics, the main language in which the laws and phenomena of science are expressed.  In basic terms, a differential equation is an expression that describes how a system changes fro…

  • Language Electives. Choose one or more.

14 0 0

Recordings, with some discussion, from an excellent, old French grammar book that's freely available online.

11 0 0

Learn Spanish with 323 lessons (109 hours of content) covering Beginner, Elementary, Intermediate and Advanced Spanish.

23 0 0

Speak Mandarin Chinese fluently even if you are a complete beginner and have never tried learning a foreign language!

  • Philosophy or Theology Electives. Choose one or more.

16 0 0

Professor Courtenay Raia lectures on science and religion as historical phenomena that have evolved over time. Examines…

10 0 0

This graduate reading seminar explores the role of religious groups, institutions, and ideas in politics using social science theories. It is open to advanced undergraduate students with permission of the instructor.

  • Mathematics Elective Electives. Choose one or more.

282 0 0

Statistics is about extracting meaning from data. In this class, we will introduce techniques for visualizing relationships in data and systematic techniques for understanding the relationships using mathematics.

14 0 0

This course covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; s…

1 0 0

Mathematics is about structure, about reasoning, and about modeling.  This course braids these three threads together.  Mathematical logic began as the study of the reasoning used in mathematics, but it turns out to be useful in describing the math…

Semester 5

  • Linear Algebra Choose one of alternatives:

OR
90 0 0

Matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although…

10 0 0

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. It parallels the combination of theory and applications in Professo…

5 0 0

This course is an introduction to linear algebra.  It has been argued that linear algebra constitutes half of all mathematics.  Whether or not everyone would agree with that, it is certainly true that practically every modern technology relies on l…

  • Mathematics Elective Electives. Choose one or more.

  • Language Electives. Choose one or more.

8 0 0

21F.302/352 is the second part of an introductory course to the French language and culture with an emphasis on the acquisition of vocabulary and grammatical concepts through active communication. The course is conducted entirely in French and studen…

12 0 0

Master Business Spanish: “Curso de Español para Economistas”…

15 0 0

This course is the intermediate level of the streamlined curriculum, which is intended for students who, when they began streamlined I, had some background in the language, whether it be comprehension with limited speaking ability or quite fluent spe…

  • English composition Choose one of alternatives:

OR
8 0 0

No matter what career you pursue, you must be able to communicate effectively and clearly if you want to be successful.  This course will enhance your ability to do so by sharpening your critical thinking and writing skills.  We will begin with a u…

81 0 0

You will gain a foundation for college-level writing valuable for nearly any field. Students will learn how to read carefully, write effective arguments, understand the writing process, engage with others' ideas, cite accurately, and craft powerful p…

7 0 0

This course is designed to introduce students to the writing, reading, and thinking skills necessary for success at the college level. Upon completing this course, students will be able to: A. Compose essays demonstrating proficiency in developing an…

14 0 0

Ideal for the students of CBSE/ ICSE board - in India or overseas…

19 0 0

Great managers are made, not born. Learn about the qualities and skills of great managers in this Business 101 course. Instructor Sherri Hartzell holds both an MBA and Ed.D., so she's an excellent choice to teach you about principles of management. S…

  • U.S. History Choose one of alternatives:

OR
95 0 0

US History Overview 1: Jamestown to the Civil War. US History Overview 2: Reconstruction to the Great Depression. US History Overview 3: WWII to Vietnam. Appomattox Court House and Lincoln's Assassination. Communism. Korean War Overview. Bay of…

26 0 0

Great managers are made, not born. Learn about the qualities and skills of great managers in this Business 101 course. Instructor Sherri Hartzell holds both an MBA and Ed.D., so she's an excellent choice to teach you about principles of management. S…

22 0 0

This course examines the social, political, and economic development of the United States since the end of the Civil War. It traces the rise of an industrial and urban social order, the emergence of the U.S. as a world power, social and political ref…

Semester 6

7 0 0

This course is designed to introduce you to the rigorous examination of the real number system and the foundations of calculus of functions of a single real variable. Analysis lies at the heart of the trinity of higher mathematics algebra, analysis,…

  • Fine Arts Electives. Choose one or more.

9 0 0

This class introduces students to the rudiments of Western music through oral, aural, and written practice utilizing rhythm, melody, intervals, scales, chords, and musical notation. The approach is based upon the inclusive Kodály philosophy of…

101 0 0

New to art? If so, this is a good place to start. We often think we should understand what we see and that we know what we like, but art can be challenging. It has meant different things at different moments in history. Art gives us access to the way…

13 0 0

This course provides practical instruction in the fundamentals of analog and digital SLR and medium/large format camera operation, film exposure and development, black and white darkroom techniques, digital imaging, and studio lighting. This semester…

8 0 0

This course will serve as an introduction to American government and politics. We will focus on several major themes in the course’s five constituent units. In the first unit, “American Political Foundations,” we will consider the core concepts…

15 0 0

This graduate level mathematics course covers decision theory, estimation, confidence intervals, and hypothesis testing. The course also introduces students to large sample theory. Other topics covered include asymptotic efficiency of estimates,…

Semester 7

8 0 0

18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class also covers continuum limit; conservation l…

  • Numerical Methods Choose one of alternatives:

OR
9 0 0

This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stability and accuracy of numerical algorithms, the IEEE flo…

14 0 0

Lectures by P.B.Sunil Kumar, Department of Physics, IIT Madras…

  • Abstract Algebra Choose one of alternatives:

OR
118 0 0

This course is taught so that students will acquire a solid foundation in algebra. The course concentrates on the various functions that are important to the study of calculus.

3 0 0

The study of “abstract algebra” grew out of an interest in knowing how attributes of sets of mathematical objects behave when one or more properties we associate with real numbers are restricted.  For example, we are familiar with the notion tha…

2 0 0

This course is a continuation of Abstract Algebra I: we will revisit structures like groups, rings, and fields as well as mappings like homomorphisms and isomorphisms.  We will also take a look at ring factorization, which will lead us to a discussi…

100 0 0

Learn how to think the way mathematicians do - a powerful cognitive process developed over thousands of years.

Semester 8

282 0 0

Statistics is about extracting meaning from data. In this class, we will introduce techniques for visualizing relationships in data and systematic techniques for understanding the relationships using mathematics.

7 0 0

This course is an introduction to complex analysis, or the theory of the analytic functions of a complex variable.  Put differently, complex analysis is the theory of the differentiation and integration of functions that depend on one complex variab…

105 0 0

We are surrounded by information, much of it numerical, and it is important to know how to make sense of it. Stat2x is an introduction to the fundamental concepts and methods of statistics, the science of drawing conclusions from data. The course is…

99 0 0

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. Part I covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the anal…

110 0 0

This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures.

9 0 0

This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup products, Kunneth formulas, intersection pairings, and the Lefschetz fixed point theorem.

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Category: Mathematics
Author: admin
Published: 2013-04-06

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