Physics 50: Math Methods (Spring 2014, UC Irvine). Instructor: Professor Michael Dennin. Mathematica and its applications to linear algebra, differential equations, and complex functions.
0
3
September 23, 2023
English
English [CC]
Description
Fourier series and Fourier transforms. Other topics in integral transforms. Topics covered include: series representations for functions, complex numbers, matrices, vectors, tensors, abstract vector spaces, Fourier series and Fourier transformations, differential equations, derivatives and integrals, vector calculus, and partial differential equations.
Course Curriculum
-
- Lecture 1.1 – Introduction, Part 1 Unlimited
- Lecture 1.2 – Introduction, Part 2 Unlimited
- Lecture 1.3 – Introduction, Part 3 Unlimited
-
- Lecture 2.1 – Series Representations Functions Unlimited
- Lecture 2.2 – Solving Differential Equations Unlimited
- Lecture 2.3 – Complex Numbers Unlimited
- Lecture 2.4 – Phase Shift Linear System Unlimited
- Lecture 3.1 – Matrices Unlimited
- Lecture 3.2 – Mathematica Unlimited
- Lecture 3.3 – Applications Unlimited
- Lecture 5.1 – Central Question Unlimited
- Lecture 5.2 – Tensors Unlimited
- Lecture 5.3 – Examples of Tensors Unlimited
- Lecture 7.1 – Taylor Series, Overview of Vector Spaces Unlimited
- Lecture 7.2 – Linear Independence Not Equal to Orthogonal Unlimited
- Lecture 7.3 – Scalar Product Unlimited
- Lecture 9.1 – Fourier Series/ Fourier Transformations Unlimited
- Lecture 9.2 – Hermitian Operator Unlimited
- Lecture 9.3 – Hermitian Differentials Unlimited
- Lecture 11.1 – Differential Equations (DEQs) Unlimited
- Lecture 11.2 – Second-Order Differential Equations Unlimited
- Lecture 11.3 – Two Types of ODE’s Unlimited
- Lecture 13.1 – Derivatives and Integrals Unlimited
- Lecture 13.2 – Change of Variables Unlimited
- Lecture 15.1 – Review: eiφ & Plugging in a Solution Unlimited
- Lecture 15.2 – Series of Examples Unlimited
- Lecture 15.3 – Line Integrals Unlimited
- Lecture 15.4 – How to Compute Integral Given a Function Unlimited
- Lecture 17.1 – Vector Derivatives Unlimited
- Lecture 17.2 – Relation for the Curl Unlimited
- Lecture 17.3 – Electricity and Magnetism Unlimited
- Lecture 17.4 – Curls in Magnetic Field Unlimited
- Lecture 17.5 – Review in Mathematica Unlimited
- Lecture 19.1 – Separation of Variables Problems Unlimited
- Lecture 19.2 – Separation of Variables in Mathematica Unlimited
- Lecture 19.3 – Semi-Infinite Slab Problem Unlimited
- Lecture 19.4 – Final Review: Linear Physics Unlimited
About the instructor
5
5
Instructor Rating
6
Reviews
4637
Courses
24183
Students
OpenCoursa
Accessible Education for Everyone
OpenCoursa is a free online learning platform dedicated to providing high-quality education to learners worldwide. With courses across a wide range of subjects, we empower individuals to gain new skills and knowledge at no cost. Our mission is to make education accessible to everyone, offering flexible learning opportunities for personal and professional growth.
We are an educational and skills marketplace to accommodate the needs of skills enhancement and free equal education across the globe to the millions. We are bringing courses and trainings every single day for our users. We welcome everyone woth all ages, all background to learn. There is so much available to learn and deliver to the people.
FREE
Hours of videos
2083 years, 1 month
Units & Quizzes
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
- For teams of 2 or more users
- 27,000+ fresh & in-demand courses
- Learning Engagement tools
- SSO and LMS Integrations
