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Hans-Jörg Ruppen
Ce cours donne les connaissances fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles. Il est articulé autour de 9 chapitres:
Read more
Ce cours donne les connaissances fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles. Il est articulé autour de 9 chapitres:
Read more
Ce cours donne les connaissances fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles. Il est articulé autour de 9 chapitres:
- L'angle et sa mesure
- Les fonctions trigonométriques sinus et cosinus et leurs inverses
- Les fonctions trigonométriques tangente et cotengente et leurs inverses
- Les formules trigonométriques (addition, bissection, etc)
- Les oscillations harmoniques
- Les équations trigonométriques
- Les relations dans le triangle (théorème du sinus, du cosinus)
- Continuité et dérivabilité des fonctions trigonométriques
- Les fonctions logarithmiques et exponentielles
Le cours propose une approche très détaillée et précise des notions fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles. La présentation des concepts et des propositions est soutenue par une grande gamme de figures et d'animations, ainsi que par des exemples qui illustrent la mise en oeuvre des connaissances acquises.
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Learning objectives
- Connaître les fonctions trigonométrqiues, trigonométriques inverses, logarithmiques et exponentielles.
- Utiliser les formules trigonométriques, logarithmiques et exponentielles dans des situations multiples.
- Intégrer et utiliser les outils de l'analyse (symétries, continuité, dérivée) dans ce contexte.
- Appliquer les connaissances acquieses au calcul de triangles, à l'étude des mouvements harmoniques etc.
- Connaître les fonctions trigonométrqiues, trigonométriques inverses, logarithmiques et exponentielles.
- Utiliser les formules trigonométriques, logarithmiques et exponentielles dans des situations multiples.
- Intégrer et utiliser les outils de l'analyse (symétries, continuité, dérivée) dans ce contexte.
- Appliquer les connaissances acquieses au calcul de triangles, à l'étude des mouvements harmoniques etc.
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Est dispensé par Hans- Jörg Ruppen, qui est reconnu pour son travail dans le domaine des mathématiques
S'adresse aux étudiants en mathématiques, physique ou ingénierie qui souhaitent approfondir leurs connaissances en trigonométrie, logarithmes et exponentielles
Propose une approche très détaillée et précise des notions fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles
Couvre un large éventail de sujets, des fonctions trigonométriques aux équations trigonométriques, en passant par les relations dans le triangle
Utilise une grande variété de figures, d'animations et d'exemples pour illustrer les concepts et les propositions
Intègre les outils de l'analyse (symétries, continuité, dérivée) dans l'étude des fonctions trigonométriques, logarithmiques et exponentielles
Permet d'acquérir des connaissances et des compétences qui peuvent être appliquées dans des domaines tels que le calcul de triangles, l'étude des mouvements harmoniques, etc
Nécessite des connaissances préalables en mathématiques, notamment en algèbre et en géométrie
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Save Cours préparatoire: Fonctions Trigonométriques, Logarithmiques et Exponentielles to your list so you can find it easily later:
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Reviews summary
Cours préparatoire: fonctions trigonométriques, logarithmiques et exponentielles
Ce cours fournit des connaissances fondamentales sur les fonctions trigonométriques, logarithmiques et exponentielles. Il est bien illustré et complété par de nombreux exercices et quiz.
Complété par de multiples quizz et par des exercices corrigés
"...complété par de multiples quizz et par des exercices corrigés."
Très bien illustré par un grand nombre de figures et d'animations
"...trés bien illustré par un grand nombre de figures et d'animations..."
Cours très didactique et rigoureux
"Cours très didactique et rigoureux..."
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Cours préparatoire: Fonctions Trigonométriques, Logarithmiques et Exponentielles with these
activities:
Review Unit Circle
Show steps
Start by refreshing your knowledge of the unit circle. This will help you better understand the definitions and properties of trigonometric functions.
Browse courses on
Unit Circle
Show steps
Compiler vos ressources
Show steps
Organisez vos notes, vos devoirs et vos évaluations pour faciliter l'accès et la révision.
Show steps
-
Rassembler tous les matériaux
-
Classer les matériaux par sujet
-
Créer un système d'indexation ou de classement
Join a Study Group for Trigonometry
Show steps
Connect with other students taking this course to form a study group. This will allow you to collaborate, ask questions, and reinforce your understanding of the material.
Browse courses on
Trigonometry
Show steps
-
Find other students in your class who are interested in forming a study group.
-
Decide on a meeting time and place.
-
Prepare for each meeting by reviewing the material and identifying areas where you need help.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Practice Finding Exact Values
Show steps
Work on practice problems to improve your ability to find exact values of trigonometric expressions. This will help you develop fluency and confidence in applying trigonometric identities.
Show steps
-
Find the exact value of sin(pi/3).
-
Find the exact value of cos(5pi/6).
-
Find the exact value of tan(-pi/4).
Create a Mind Map of Trigonometric Functions
Show steps
Create a mind map that summarizes the key concepts related to trigonometric functions. This will help you organize your knowledge and identify areas where you need further study.
Browse courses on
Trigonometric Functions
Show steps
-
Start with a central node labeled 'Trigonometric Functions'.
-
Add branches for each of the six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
-
Include information on the definitions, graphs, and applications of each function.
Attend a Workshop on Trigonometry Applications
Show steps
Attend a workshop to explore the practical applications of trigonometry. This will help you see how the concepts you are learning can be used in real-world situations.
Browse courses on
Trigonometry
Show steps
-
Find a workshop on trigonometry applications that fits your schedule.
-
Register for the workshop and make sure you have all the necessary materials.
-
Attend the workshop and take notes on the key concepts.
Learn About Hyperbolic Functions
Show steps
Extend your understanding of trigonometry by learning about hyperbolic functions. This will provide you with a deeper understanding of the relationship between trigonometry and other mathematical concepts.
Browse courses on
Hyperbolic Functions
Show steps
-
Watch a video tutorial on hyperbolic functions.
-
Read an article about the applications of hyperbolic functions.
-
Try solving some practice problems involving hyperbolic functions.
Review Unit Circle
Show steps
Start by refreshing your knowledge of the unit circle. This will help you better understand the definitions and properties of trigonometric functions.
Browse courses on
Unit Circle
Show steps
Show steps
Show steps
Compiler vos ressources
Show steps
Organisez vos notes, vos devoirs et vos évaluations pour faciliter l'accès et la révision.
Show steps
Show steps
Show steps
- Rassembler tous les matériaux
- Classer les matériaux par sujet
- Créer un système d'indexation ou de classement
Join a Study Group for Trigonometry
Show steps
Connect with other students taking this course to form a study group. This will allow you to collaborate, ask questions, and reinforce your understanding of the material.
Browse courses on
Trigonometry
Show steps
Show steps
Show steps
- Find other students in your class who are interested in forming a study group.
- Decide on a meeting time and place.
- Prepare for each meeting by reviewing the material and identifying areas where you need help.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Practice Finding Exact Values
Show steps
Work on practice problems to improve your ability to find exact values of trigonometric expressions. This will help you develop fluency and confidence in applying trigonometric identities.
Show steps
Show steps
Show steps
- Find the exact value of sin(pi/3).
- Find the exact value of cos(5pi/6).
- Find the exact value of tan(-pi/4).
Create a Mind Map of Trigonometric Functions
Show steps
Create a mind map that summarizes the key concepts related to trigonometric functions. This will help you organize your knowledge and identify areas where you need further study.
Browse courses on
Trigonometric Functions
Show steps
Show steps
Show steps
- Start with a central node labeled 'Trigonometric Functions'.
- Add branches for each of the six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
- Include information on the definitions, graphs, and applications of each function.
Attend a Workshop on Trigonometry Applications
Show steps
Attend a workshop to explore the practical applications of trigonometry. This will help you see how the concepts you are learning can be used in real-world situations.
Browse courses on
Trigonometry
Show steps
Show steps
Show steps
- Find a workshop on trigonometry applications that fits your schedule.
- Register for the workshop and make sure you have all the necessary materials.
- Attend the workshop and take notes on the key concepts.
Learn About Hyperbolic Functions
Show steps
Extend your understanding of trigonometry by learning about hyperbolic functions. This will provide you with a deeper understanding of the relationship between trigonometry and other mathematical concepts.
Browse courses on
Hyperbolic Functions
Show steps
Show steps
Show steps
- Watch a video tutorial on hyperbolic functions.
- Read an article about the applications of hyperbolic functions.
- Try solving some practice problems involving hyperbolic functions.
Career center
Learners who complete Cours préparatoire: Fonctions Trigonométriques, Logarithmiques et Exponentielles will develop knowledge and skills
that may be useful to these careers:
Math Teacher
Math Teacher
A Math Teacher plans, develops, and delivers math lessons to students at the secondary level. As a Math Teacher, your daily responsibilities may include designing lesson plans, organizing math activities, assessing students' progress, and providing extra help to students who need it. This course is an excellent way to strengthen the conceptual foundation necessary for success in your role. It can help enhance your understanding of core math principles and advanced topics.
Research Analyst
Research Analyst
A Research Analyst collects, analyzes, and interprets data to help organizations make informed decisions. This course may be useful in providing you with a strong foundation in trigonometry and logarithms, which are essential for statistical analysis and modeling. The course's coverage of exponential functions can also be helpful for understanding growth and decay models.
Financial Analyst
Financial Analyst
A Financial Analyst provides financial advice and guidance to individuals and organizations. This course may be useful for building a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding financial modeling and forecasting.
Actuary
Actuary
An Actuary assesses financial risks and develops strategies to mitigate them. This course may be useful for providing you with a strong foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding actuarial models and calculations.
Statistician
Statistician
A Statistician collects, analyzes, and interprets data to help organizations make informed decisions. This course may be useful for providing you with a strong foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding statistical models and inference.
Data Analyst
Data Analyst
A Data Analyst collects, analyzes, and interprets data to help organizations make informed decisions. This course may be useful for providing you with a strong foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding data modeling and analysis.
Software Engineer
Software Engineer
A Software Engineer designs, develops, and maintains software applications. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding computer graphics, modeling, and simulations.
Electrical Engineer
Electrical Engineer
An Electrical Engineer designs, develops, and maintains electrical systems. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding electrical circuits, power systems, and signal processing.
Mechanical Engineer
Mechanical Engineer
A Mechanical Engineer designs, develops, and maintains mechanical systems. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding mechanical vibrations, fluid dynamics, and heat transfer.
Civil Engineer
Civil Engineer
A Civil Engineer designs, develops, and maintains civil infrastructure. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding structural analysis, geotechnical engineering, and water resources management.
Chemical Engineer
Chemical Engineer
A Chemical Engineer designs, develops, and maintains chemical processes. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding chemical reactions, mass transfer, and thermodynamics.
Biomedical Engineer
Biomedical Engineer
A Biomedical Engineer designs, develops, and maintains biomedical devices and systems. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding biomechanics, medical imaging, and signal processing.
Aerospace Engineer
Aerospace Engineer
An Aerospace Engineer designs, develops, and maintains aerospace vehicles. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding aerodynamics, propulsion, and flight dynamics.
Nuclear Engineer
Nuclear Engineer
A Nuclear Engineer designs, develops, and maintains nuclear power plants. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding nuclear reactions, radiation shielding, and heat transfer.
Petroleum Engineer
Petroleum Engineer
A Petroleum Engineer designs, develops, and maintains oil and gas reservoirs. This course may be useful for providing you with a foundation in trigonometry, logarithms, and exponential functions. These concepts are essential for understanding fluid flow, reservoir simulation, and well completions.
For more career information including salaries, visit:
OpenCourser.com/course/p01ow2/cours
Reading list
We've selected 12 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Cours préparatoire: Fonctions Trigonométriques, Logarithmiques et Exponentielles.
Comprehensive textbook on precalculus. It covers all the topics that are typically covered in a precalculus course, including trigonometry, logarithms, and exponentials. It valuable resource for students who are preparing for calculus.
Save
Classic textbook on calculus. It covers all the essential topics in a clear and concise manner. It valuable resource for students who are new to the subject or who want to review the basics.
Comprehensive textbook on advanced calculus. It covers all the topics that are typically covered in an advanced calculus course, including trigonometry, logarithms, and exponentials. It valuable resource for students who are preparing for graduate school or who want to learn more about the subject.
Schaum's Outline on trigonometry. It valuable resource for students who are looking for a quick and easy way to review the basics of trigonometry.
For Dummies guide to trigonometry. It valuable resource for students who are looking for a fun and easy way to learn the basics of trigonometry.
Save
Popular mathematics book that explores the beauty and power of mathematics. It contains a chapter on trigonometry that valuable resource for students who want to learn more about the subject.
Popular mathematics book that explores the lives and work of some of the greatest mathematicians in history. It contains a chapter on trigonometry that valuable resource for students who want to learn more about the history of the subject.
Popular mathematics book that explores the history and development of mathematics. It contains a chapter on trigonometry that valuable resource for students who want to learn more about the subject.
Popular mathematics book that explores the nature and beauty of mathematics. It contains a chapter on trigonometry that valuable resource for students who want to learn more about the subject.
Classic textbook on the history of mathematics. It contains a chapter on trigonometry that valuable resource for students who want to learn more about the history of the subject.
Explores the relationship between mathematics and music. It contains a chapter on trigonometry that valuable resource for students who want to learn more about the subject.
Explores the relationship between mathematics and the arts. It contains a chapter on trigonometry that valuable resource for students who want to learn more about the subject.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/p01ow2/cours
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Effort
2 to 3 hours per week for 12 weeks
Level
Introductory
Via
edX
Institution
École Polytechnique Fédérale de Lausanne
Instructor
Hans-Jörg Ruppen
Language
Français
Transcript
Français
Good to know
Est dispensé par Hans- Jörg Ruppen, qui est reconnu pour son travail dans le domaine des mathématiques
S'adresse aux étudiants en mathématiques, physique ou ingénierie qui souhaitent approfondir leurs connaissances en trigonométrie, logarithmes et exponentielles
Propose une approche très détaillée et précise des notions fondamentales liées aux fonctions trigonométriques, logarithmiques et exponentielles
Couvre un large éventail de sujets, des fonctions trigonométriques aux équations trigonométriques, en passant par les relations dans le triangle
Utilise une grande variété de figures, d'animations et d'exemples pour illustrer les concepts et les propositions
Intègre les outils de l'analyse (symétries, continuité, dérivée) dans l'étude des fonctions trigonométriques, logarithmiques et exponentielles
Permet d'acquérir des connaissances et des compétences qui peuvent être appliquées dans des domaines tels que le calcul de triangles, l'étude des mouvements harmoniques, etc
Nécessite des connaissances préalables en mathématiques, notamment en algèbre et en géométrie
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