https://solvonauts.org/%3Faction%3Drss_search%26term%3Dlus RSS Feed for lus Introduction to Astronomy provides a quantitative introduction to physics of the solar system stars interstellar medium the galaxy and universe as determined from a variety of astronomical observations and models Topics include planets planet formation stars the Sun normal stars star formation stellar evolution supernovae compact objects white dwarfs neutron stars and black holes plusars binary X ray sources star clusters globular and open clusters interstellar medium gas dust magnetic fields cosmic rays distance ladder galaxies normal and active galaxies jets gravitational lensing large scaling structure Newtonian cosmology dynamical expansion and thermal history of the Universe cosmic microwave background radiation big bang nucleosynthesis Introduction to Astronomy provides a quantitative introduction to physics of the solar system stars interstellar medium the galaxy and universe as determined from a variety of astronomical observations and models Topics include planets planet formation stars the Sun normal stars star formation stellar evolution supernovae compact objects white dwarfs neutron stars and black holes plusars binary X ray sources star clusters globular and open clusters interstellar medium gas dust magnetic fields cosmic rays distance ladder galaxies normal and active galaxies jets gravitational lensing large scaling structure Newtonian cosmology dynamical expansion and thermal history of the Universe cosmic microwave background radiation big bang nucleosynthesis http://dspace.mit.edu/handle/1721.1/34941 http://dspace.mit.edu/handle/1721.1/34941 Introduction to Astronomy provides a quantitative introduction to the physics of the solar system stars the interstellar medium the galaxy and the universe as determined from a variety of astronomical observations and models Introduction to Astronomy provides a quantitative introduction to the physics of the solar system stars the interstellar medium the galaxy and the universe as determined from a variety of astronomical observations and models http://ocw.mit.edu/courses/physics/8-282j-introduction-to-astronomy-spring-2006 http://ocw.mit.edu/courses/physics/8-282j-introduction-to-astronomy-spring-2006 Includes audio video content AV lectures Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman and sophomore level introductory mathematics courses Multivariable Calculus is the second course in the series consisting of 26 videos 4 Study Guides and a set of Supplementary Notes The series was first released in 1971 as a way for people to review the essentials of calculus It is equally valuable for students who are learning calculus for the first time Includes audio video content AV lectures Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman and sophomore level introductory mathematics courses Multivariable Calculus is the second course in the series consisting of 26 videos 4 Study Guides and a set of Supplementary Notes The series was first released in 1971 as a way for people to review the essentials of calculus It is equally valuable for students who are learning calculus for the first time http://ocw.mit.edu/resources/res-18-007-calculus-revisited-multivariable-calculus-fall-2011 http://ocw.mit.edu/resources/res-18-007-calculus-revisited-multivariable-calculus-fall-2011 Includes audio video content AV lectures This course covers vector and multi variable calculus It is the second semester in the freshman calculus sequence Topics include vectors and matrices partial derivatives double and triple integrals and vector calculus in 2 and 3 space MIT OpenCourseWare offers another version of 18 02 from the Spring 2006 term Both versions cover the same material although they are taught by different faculty and rely on different textbooks Multivariable Calculus 18 02 is taught during the Fall and Spring terms at MIT and is a required subject for all MIT undergraduates Includes audio video content AV lectures This course covers vector and multi variable calculus It is the second semester in the freshman calculus sequence Topics include vectors and matrices partial derivatives double and triple integrals and vector calculus in 2 and 3 space MIT OpenCourseWare offers another version of 18 02 from the Spring 2006 term Both versions cover the same material although they are taught by different faculty and rely on different textbooks Multivariable Calculus 18 02 is taught during the Fall and Spring terms at MIT and is a required subject for all MIT undergraduates http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007 http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007 This free course Inclusive education Knowing what we mean introduces you to the contested area of educational inclusion You will look at differing perspectives on inclusion in particular the way that medical and social models have influenced and shaped current thinking You will also think about barriers to inclusion and the difference between integration and inclusion In addition you will consider some of the key documents such as the Salamanca Statement that underpin current thinking in this area First published on Tue 19 Jul 2011 as Inclusive education Knowing what we mean To find out more visit The Open University s Openlearn website Creative Commons 2011 This free course Inclusive education Knowing what we mean introduces you to the contested area of educational inclusion You will look at differing perspectives on inclusion in particular the way that medical and social models have influenced and shaped current thinking You will also think about barriers to inclusion and the difference between integration and inclusion In addition you will consider some of the key documents such as the Salamanca Statement that underpin current thinking in this area First published on Tue 19 Jul 2011 as Inclusive education Knowing what we mean To find out more visit The Open University s Openlearn website Creative Commons 2011 http://www.open.edu/openlearn/education/educational-technology-and-practice/educational-practice/inclusive-education-knowing-what-we-mean/content-section-0 http://www.open.edu/openlearn/education/educational-technology-and-practice/educational-practice/inclusive-education-knowing-what-we-mean/content-section-0 This course is a continuation of 18 014 It covers the same material as 18 02 Calculus but at a deeper level emphasizing careful reasoning and understanding of proofs There is considerable emphasis on linear algebra and vector integral calculus Topics include Calculus of several variables Vector algebra in 3 space determinants matrices Vector valued functions of one variable space motion Scalar functions of several variables partial differentiation gradient optimization techniques Double integrals and line integrals in the plane exact differentials and conservative fields Green s theorem and applications triple integrals line and surface integrals in space Divergence theorem Stokes theorem applications Dr Lachowska wishes to acknowledge Andrew Brooke Taylor This course is a continuation of 18 014 It covers the same material as 18 02 Calculus but at a deeper level emphasizing careful reasoning and understanding of proofs There is considerable emphasis on linear algebra and vector integral calculus Topics include Calculus of several variables Vector algebra in 3 space determinants matrices Vector valued functions of one variable space motion Scalar functions of several variables partial differentiation gradient optimization techniques Double integrals and line integrals in the plane exact differentials and conservative fields Green s theorem and applications triple integrals line and surface integrals in space Divergence theorem Stokes theorem applications Dr Lachowska wishes to acknowledge Andrew Brooke Taylor http://dspace.mit.edu/handle/1721.1/74132 http://dspace.mit.edu/handle/1721.1/74132 18 014 Calculus with Theory covers the same material as 18 01 Calculus but at a deeper and more rigorous level It emphasizes careful reasoning and understanding of proofs The course assumes knowledge of elementary calculus Topics Axioms for the real numbers the Riemann integral limits theorems on continuous functions derivatives of functions of one variable the fundamental theorems of calculus Taylor s theorem infinite series power series rigorous treatment of the elementary functions Dr Lachowska wishes to acknowledge Andrew Brooke Taylor Natasha Bershadsky and Alex Retakh for their help with this course web site 18 014 Calculus with Theory covers the same material as 18 01 Calculus but at a deeper and more rigorous level It emphasizes careful reasoning and understanding of proofs The course assumes knowledge of elementary calculus Topics Axioms for the real numbers the Riemann integral limits theorems on continuous functions derivatives of functions of one variable the fundamental theorems of calculus Taylor s theorem infinite series power series rigorous treatment of the elementary functions Dr Lachowska wishes to acknowledge Andrew Brooke Taylor Natasha Bershadsky and Alex Retakh for their help with this course web site http://dspace.mit.edu/handle/1721.1/74131 http://dspace.mit.edu/handle/1721.1/74131 Includes audio video content AV lectures Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman level introductory calculus course The series was first released in 1970 as a way for people to review the essentials of calculus It is equally valuable for students who are learning calculus for the first time Includes audio video content AV lectures Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman level introductory calculus course The series was first released in 1970 as a way for people to review the essentials of calculus It is equally valuable for students who are learning calculus for the first time http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010 http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010 Includes audio video content AV faculty introductions AV lectures Highlights of Calculus is a series of short videos that introduces the basics of calculus how it works and why it is important The intended audience is high school students college students or anyone who might need help understanding the subject The series is divided into three sections Introduction Why Professor Strang created these videos How to use the materials Highlights of Calculus Five videos reviewing the key topics and ideas of calculus Applications to real life situations and problems Additional summary slides and practice problems Derivatives Twelve videos focused on differential calculus More applications to real life situations and problems Additional summary sl Includes audio video content AV faculty introductions AV lectures Highlights of Calculus is a series of short videos that introduces the basics of calculus how it works and why it is important The intended audience is high school students college students or anyone who might need help understanding the subject The series is divided into three sections Introduction Why Professor Strang created these videos How to use the materials Highlights of Calculus Five videos reviewing the key topics and ideas of calculus Applications to real life situations and problems Additional summary slides and practice problems Derivatives Twelve videos focused on differential calculus More applications to real life situations and problems Additional summary sl http://ocw.mit.edu/resources/res-18-005-highlights-of-calculus-spring-2010 http://ocw.mit.edu/resources/res-18-005-highlights-of-calculus-spring-2010 This course covers vector and multi variable calculus It is the second semester in the freshman calculus sequence Topics include Vectors and Matrices Partial Derivatives Double and Triple Integrals and Vector Calculus in 2 and 3 space This course covers vector and multi variable calculus It is the second semester in the freshman calculus sequence Topics include Vectors and Matrices Partial Derivatives Double and Triple Integrals and Vector Calculus in 2 and 3 space http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-spring-2006 http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-spring-2006 This is an undergraduate course on differential calculus in one and several dimensions It is intended as a one and a half term course in calculus for students who have studied calculus in high school The format allows it to be entirely self contained so that it is possible to follow it without any background in calculus This is an undergraduate course on differential calculus in one and several dimensions It is intended as a one and a half term course in calculus for students who have studied calculus in high school The format allows it to be entirely self contained so that it is possible to follow it without any background in calculus http://ocw.mit.edu/courses/mathematics/18-013a-calculus-with-applications-spring-2005 http://ocw.mit.edu/courses/mathematics/18-013a-calculus-with-applications-spring-2005 Published in 1991 by Wellesley Cambridge Press the book is a useful resource for educators and self learners alike It is well organized covers single variable and multivariable calculus in depth and is rich with applications In addition to the Textbook there is also an online Instructor s Manual and a student Study Guide Prof Strang has also developed a related series of videos Highlights of Calculus on the basic ideas of calculus The 2010 second edition of the Calculus textbook includes a new chapter on Highlights of Calculus that connects to the video series of the same name The new chapter has summaries and practice questions for all of the videos It also introduces The Exponential Function e x as presented in Prof Strang s video on this to Published in 1991 by Wellesley Cambridge Press the book is a useful resource for educators and self learners alike It is well organized covers single variable and multivariable calculus in depth and is rich with applications In addition to the Textbook there is also an online Instructor s Manual and a student Study Guide Prof Strang has also developed a related series of videos Highlights of Calculus on the basic ideas of calculus The 2010 second edition of the Calculus textbook includes a new chapter on Highlights of Calculus that connects to the video series of the same name The new chapter has summaries and practice questions for all of the videos It also introduces The Exponential Function e x as presented in Prof Strang s video on this to http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005 http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005 Introduction to Astronomy provides a quantitative introduction to physics of the solar system stars interstellar medium the galaxy and universe as determined from a variety of astronomical observations and models Topics include planets planet formation stars the Sun normal stars star formation stellar evolution supernovae compact objects white dwarfs neutron stars and black holes plusars binary X ray sources star clusters globular and open clusters interstellar medium gas dust magnetic fields cosmic rays distance ladder galaxies normal and active galaxies jets gravitational lensing large scaling structure Newtonian cosmology dynamical expansion and thermal history of the Universe cosmic microwave background radiation big bang nucleosynthesis https://dspace.mit.edu/handle/1721.1/34941 https://dspace.mit.edu/handle/1721.1/34941 Differential calculus in one and several dimensions Java applets and spreadsheet assignments Vector algebra in 3D vector valued functions gradient divergence and curl Taylor series numerical methods and applications Given in the first half of the first term However those wishing credit for 18 013A only must attend the entire semester Prerequisites a year of high school calculus or the equivalent with a score of 4 or 5 on the AB or the AB portion of the BC Calculus test or an equivalent score on a standard international exam or a passing grade on the first half of the 18 01 Advanced Standing exam Technical RequirementsThe MathML version of the textbook requires the Internet Explorer 6 browser or above with the 160 MathPlayer plug in 160 or Netscape 7 x Mozill Differential calculus in one and several dimensions Java applets and spreadsheet assignments Vector algebra in 3D vector valued functions gradient divergence and curl Taylor series numerical methods and applications Given in the first half of the first term However those wishing credit for 18 013A only must attend the entire semester Prerequisites a year of high school calculus or the equivalent with a score of 4 or 5 on the AB or the AB portion of the BC Calculus test or an equivalent score on a standard international exam or a passing grade on the first half of the 18 01 Advanced Standing exam Technical RequirementsThe MathML version of the textbook requires the Internet Explorer 6 browser or above with the 160 MathPlayer plug in 160 or Netscape 7 x Mozill http://dspace.mit.edu/handle/1721.1/35712 http://dspace.mit.edu/handle/1721.1/35712 This introductory Calculus course covers differentiation and integration of functions of one variable with applications Topics include Concepts of function limits and continuityDifferentiation rules application to graphing rates approximations and extremum problemsDefinite and indefinite integrationFundamental theorem of calculusApplications of integration to geometry and scienceElementary functionsTechniques of integrationApproximation of definite integrals improper integrals and L H 244 pital s rule 160 MATLAB 174 is a trademark of The MathWorks Inc This introductory Calculus course covers differentiation and integration of functions of one variable with applications Topics include Concepts of function limits and continuityDifferentiation rules application to graphing rates approximations and extremum problemsDefinite and indefinite integrationFundamental theorem of calculusApplications of integration to geometry and scienceElementary functionsTechniques of integrationApproximation of definite integrals improper integrals and L H 244 pital s rule 160 MATLAB 174 is a trademark of The MathWorks Inc http://dspace.mit.edu/handle/1721.1/34901 http://dspace.mit.edu/handle/1721.1/34901 This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula such as differential geometry integral geometry discrete computational geometry graph theory optimization techniques calculus of variations and linear algebra The topics covered in any particular year depend on the interest of the students and instructor Emphasis is on basic ideas and on applications in mechanical engineering This year the subject focuses on selected topics from linear algebra and the calculus of variations It is aimed mainly but not exclusively at students aiming to study mechanics solid mechanics fluid mechanics energy methods etc and the course introduces some of the mathematical tools used in these subjects App This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula such as differential geometry integral geometry discrete computational geometry graph theory optimization techniques calculus of variations and linear algebra The topics covered in any particular year depend on the interest of the students and instructor Emphasis is on basic ideas and on applications in mechanical engineering This year the subject focuses on selected topics from linear algebra and the calculus of variations It is aimed mainly but not exclusively at students aiming to study mechanics solid mechanics fluid mechanics energy methods etc and the course introduces some of the mathematical tools used in these subjects App http://ocw.mit.edu/courses/mechanical-engineering/2-035-special-topics-in-mathematics-with-applications-linear-algebra-and-the-calculus-of-variations-spring-2007 http://ocw.mit.edu/courses/mechanical-engineering/2-035-special-topics-in-mathematics-with-applications-linear-algebra-and-the-calculus-of-variations-spring-2007 This course is a continuation of 18 014 It covers the same material as 18 02 Multivariable Calculus but at a deeper level emphasizing careful reasoning and understanding of proofs There is considerable emphasis on linear algebra and vector integral calculus This course is a continuation of 18 014 It covers the same material as 18 02 Multivariable Calculus but at a deeper level emphasizing careful reasoning and understanding of proofs There is considerable emphasis on linear algebra and vector integral calculus http://ocw.mit.edu/courses/mathematics/18-024-multivariable-calculus-with-theory-spring-2011 http://ocw.mit.edu/courses/mathematics/18-024-multivariable-calculus-with-theory-spring-2011 18 014 Calculus with Theory covers the same material as 18 01 Single Variable Calculus but at a deeper and more rigorous level It emphasizes careful reasoning and understanding of proofs The course assumes knowledge of elementary calculus 18 014 Calculus with Theory covers the same material as 18 01 Single Variable Calculus but at a deeper and more rigorous level It emphasizes careful reasoning and understanding of proofs The course assumes knowledge of elementary calculus http://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theory-fall-2010 http://ocw.mit.edu/courses/mathematics/18-014-calculus-with-theory-fall-2010 The underlying premise of this free course What children s perspectives tell us about inclusion is that we are all experts in different ways and that our different experiences and understandings are of value Inclusive education is presented and discussed as under construction both in educational settings and as a concept The materials to be found in this course are largely rooted in the social model of disability and human disability rights frameworks First published on Tue 12 Jul 2011 as What children 039 s perspectives tell us about inclusion To find out more visit The Open University s Openlearn website Creative Commons 2011 The underlying premise of this free course What children s perspectives tell us about inclusion is that we are all experts in different ways and that our different experiences and understandings are of value Inclusive education is presented and discussed as under construction both in educational settings and as a concept The materials to be found in this course are largely rooted in the social model of disability and human disability rights frameworks First published on Tue 12 Jul 2011 as What children 039 s perspectives tell us about inclusion To find out more visit The Open University s Openlearn website Creative Commons 2011 http://www.open.edu/openlearn/education/educational-technology-and-practice/educational-practice/what-childrens-perspectives-tell-us-about-inclusion/content-section-0 http://www.open.edu/openlearn/education/educational-technology-and-practice/educational-practice/what-childrens-perspectives-tell-us-about-inclusion/content-section-0 Introduction to Astronomy provides a quantitative introduction to the physics of the solar system stars the interstellar medium the galaxy and the universe as determined from a variety of astronomical observations and models http://www.core.org.cn/OcwWeb/Physics/8-282JSpring2003/CourseHome/index.htm http://www.core.org.cn/OcwWeb/Physics/8-282JSpring2003/CourseHome/index.htm UCI Math 2B Single Variable Calculus Fall 2013 Lec 04 Single Variable Calculus The Fundamental Theorem of Calculus View the complete course http ocw uci edu courses math 2b calculus html Instructor Natalia L Komarova Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 2B is the second quarter of Single Variable Calculus and covers the following topics Definite integrals the fundamental theorem of calculus Applications of integration including finding areas and volumes Techniques of integration Infinite sequences and series Parametric and polar equations Recorded on October 5 2013 Required attribution Komarova Natalia L Math 2B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 2b calculus html Access date License Creative Commons Attribution ShareAlike 3 0 United States License http creativecommons org licenses by sa 3 0 deed en US http://www.youtube.com/watch?v=PMtEYYwVubM http://www.youtube.com/watch?v=PMtEYYwVubM UCI Math 1A 1B Pre Calculus Pre Calculus Law of Sines and Cosines SSA Case View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=Yba4qQ3ThWc http://www.youtube.com/watch?v=Yba4qQ3ThWc UCI Math 1A 1B Pre Calculus Pre Calculus Law of Sines and Cosines SAS Case View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=z5Qd8Wv-m6g http://www.youtube.com/watch?v=z5Qd8Wv-m6g UCI Math 1A 1B Pre Calculus Pre Calculus Conjugate Zeros Theorem View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=toDYlc-Jmm4 http://www.youtube.com/watch?v=toDYlc-Jmm4 UCI Math 1A 1B Pre Calculus Pre Calculus Converting Between Logarithmic and Exponential Equations View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=VzJAvmtJHQI http://www.youtube.com/watch?v=VzJAvmtJHQI UCI Math 1A 1B Pre Calculus Pre Calculus Coterminal Angles View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=ZE36CAcBj58 http://www.youtube.com/watch?v=ZE36CAcBj58 UCI Math 1A 1B Pre Calculus Pre Calculus Solving a Quadratic Equation Completing the Square View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=h0vO114AVRU http://www.youtube.com/watch?v=h0vO114AVRU UCI Math 1A 1B Pre Calculus Pre Calculus Absolute Value Inequalities View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=BXe5fpw4tyc http://www.youtube.com/watch?v=BXe5fpw4tyc UCI Math 1A 1B Pre Calculus Pre Calculus Adding and Subtracting Polynomials View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=uylpSQmcYZA http://www.youtube.com/watch?v=uylpSQmcYZA UCI Math 1A 1B Pre Calculus Pre Calculus Adding and Subtracting Rational Expressions View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=KBT58K6DsJc http://www.youtube.com/watch?v=KBT58K6DsJc UCI Math 1A 1B Pre Calculus Pre Calculus Algebraic Symbol Manipulation View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=pbcKu0zyOxQ http://www.youtube.com/watch?v=pbcKu0zyOxQ UCI Math 1A 1B Pre Calculus Pre Calculus Area and Perimeter Word Problems View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=VfryT5ph-_M http://www.youtube.com/watch?v=VfryT5ph-_M UCI Math 1A 1B Pre Calculus Pre Calculus Absolute Value Equations View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=LMZfl7JvIss http://www.youtube.com/watch?v=LMZfl7JvIss UCI Math 1A 1B Pre Calculus Pre Calculus Converting Between Degrees Minutes Seconds and Degrees View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=ubntzuHPrDQ http://www.youtube.com/watch?v=ubntzuHPrDQ UCI Math 1A 1B Pre Calculus Pre Calculus Converting Between Degrees and Radians View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=gdyYvRqUdxg http://www.youtube.com/watch?v=gdyYvRqUdxg UCI Math 1A 1B Pre Calculus Pre Calculus Difference Quotient View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=Hq-EGCHXGuE http://www.youtube.com/watch?v=Hq-EGCHXGuE UCI Math 1A 1B Pre Calculus Pre Calculus Discriminant View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=hrhfdINTFro http://www.youtube.com/watch?v=hrhfdINTFro UCI Math 1A 1B Pre Calculus Pre Calculus Distance in the Plane View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=bs9V-aT6OJc http://www.youtube.com/watch?v=bs9V-aT6OJc UCI Math 1A 1B Pre Calculus Pre Calculus Dividing Rational Expressions View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=QGa2g79q7zY http://www.youtube.com/watch?v=QGa2g79q7zY UCI Math 1A 1B Pre Calculus Pre Calculus Domain View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=d_zFvUYNVDw http://www.youtube.com/watch?v=d_zFvUYNVDw UCI Math 1A 1B Pre Calculus Pre Calculus Domain and Intercepts View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=J9Q2SX-3McQ http://www.youtube.com/watch?v=J9Q2SX-3McQ UCI Math 1A 1B Pre Calculus Pre Calculus Finding the Domain and Range from a Graph View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=vPjwNj83fn4 http://www.youtube.com/watch?v=vPjwNj83fn4 UCI Math 1A 1B Pre Calculus Pre Calculus Distance Rate Time View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=yEbFN6pEqXk http://www.youtube.com/watch?v=yEbFN6pEqXk UCI Math 1A 1B Pre Calculus Pre Calculus Equations of Quadratic Functions View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=c7fzQ_IEgPg http://www.youtube.com/watch?v=c7fzQ_IEgPg UCI Math 1A 1B Pre Calculus Pre Calculus Evaluating Functions View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=hldERhmyS8s http://www.youtube.com/watch?v=hldERhmyS8s UCI Math 1A 1B Pre Calculus Pre Calculus Change of Base Formula for Logarithms View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=Y3hQLCzYtCA http://www.youtube.com/watch?v=Y3hQLCzYtCA UCI Math 1A 1B Pre Calculus Pre Calculus Circle Equations View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=ZEcZ2xYTd9E http://www.youtube.com/watch?v=ZEcZ2xYTd9E UCI Math 1A 1B Pre Calculus Pre Calculus Simplifying Fractions View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Pre Calculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre Calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=EpLUXmzeEYY http://www.youtube.com/watch?v=EpLUXmzeEYY UCI Math 1A 1B Pre Calculus Pre Calculus Composition of Functions Part 1 View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=If7704NOTv8 http://www.youtube.com/watch?v=If7704NOTv8 UCI Math 1A 1B Pre Calculus Pre Calculus Composition of Functions Part 2 View the complete course http ocw uci edu courses math 1a1b precalculus html Instructor Sarah Eichhorn Ph D and Rachel Lehman Ph D License Creative Commons CC BY SA Terms of Use http ocw uci edu info More courses at http ocw uci edu Description UCI Math 1A 1B Precalculus is designed to prepare students for a calculus course This course is taught so that students will acquire a solid foundation in algebra and trigonometry The course concentrates on the various functions that are important to the study of the calculus Required attribution Eichhorn Sarah Lehman Rachel Pre calculus 1A 1B UCI OpenCourseWare University of California Irvine http ocw uci edu courses math 1a1b precalculus html Access date License Creative Commons Attribution ShareAlike 4 0 United States License http creativecommons org licenses by sa 4 0 http://www.youtube.com/watch?v=bOguiGeXxSc http://www.youtube.com/watch?v=bOguiGeXxSc