微積分-三角函數篇 Calculus-Trigonometric Functions
Master trigonometry! Learn special angles, identities, graphs, and derivatives. Build a strong foundation in essential math concepts.
Course Content
微積分-三角函數篇 Calculus-Trigonometric Functions is a beginner-level Udemy course taught by Lee Bor-Jian. It runs 1h 41m and is taught in Chinese. Learners rate it 4.9 out of 5 from 78 reviews, with 2,222 students enrolled. It is free to enroll, first published April 2015.
Delve into the essential concepts of trigonometric functions with this comprehensive course! This course provides a strong foundation for tackling advanced calculus topics.
Key Topics Covered:
- Fundamental Definitions & Identities: Master the core definitions of trigonometric functions and their fundamental identities. Understanding these is crucial for further study.
- Area Calculations: Learn how to apply trigonometric principles to calculate areas of various shapes.
- Trigonometric Measurement: Develop proficiency in trigonometric measurement techniques.
- Angle Transformations: Explore transformations of angles and their impact on trigonometric values.
- Double-Angle & Sum/Difference Formulas: Gain expertise in applying double-angle formulas and formulas for the sum and difference of angles – vital for simplifying complex expressions.
- Product-to-Sum & Sum-to-Product Identities: Learn powerful techniques for manipulating trigonometric expressions.
- Law of Sines & Cosines: Understand and apply the Law of Sines and Law of Cosines for solving triangles.
- Inverse Trigonometric Functions: Develop a solid understanding of inverse trigonometric functions and their applications.
- Trigonometric Differentiation: Master the techniques for differentiating trigonometric functions – a cornerstone for trigonometric function differentiation in calculus.
Why is Trigonometry Important for Calculus?
Trigonometry is an indispensable component of calculus. It's frequently used in:
- Trigonometric Substitution: Essential for solving root equations and integrals.
- Understanding Derivatives: A strong grasp of trigonometric functions simplifies the process of finding derivatives.
- Pre-Calculus Foundation: A solid understanding of trigonometric concepts is a prerequisite for success in calculus.
Prerequisites:
This course assumes a prior understanding of calculus – limits. It is recommended to complete that material before beginning this course.
Estimated Completion Time:
Allow approximately 2 weeks to complete the course materials.
Course Source:
This course material is sourced from the "微積分一" (Calculus I) textbook of Chihsun University, certified by the Ministry of Education, Taiwan.
Important Note:
This course is intended for self-study only and does not offer academic credit from Chihsun University.
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