This course covers the mathematical techniques necessary for an understanding of materials science and engineering topics such as energetics, materials structure, and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, tensor operations, symmetry operations, calculus of several variables, ordinary and partial differential equations and theory of distributions.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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Course Credit: MIT
Course Curriculum
| Module 01 | |||
| lecture_1 Introduction to Mathematica | 00:20:00 | ||
| lecture_2 Mathematica® Graphics | 00:10:00 | ||
| lecture_3 Mathematica | 00:15:00 | ||
| lecture_4 Mathematica | 00:10:00 | ||
| lecture_5 Linear Algebra | 00:20:00 | ||
| lecture_6 Linear Algebra | 00:10:00 | ||
| lecture_7 Complex Numbers | 00:15:00 | ||
| lecture_8 Matrix Eigenvalues | 00:25:00 | ||
| lecture_9 Hermitian Forms | 00:30:00 | ||
| lecture_10 Vector Calculus | 00:20:00 | ||
| lecture_11 Multi-variable Calculus | 00:40:00 | ||
| lecture_12 Vector Differential Operations | 00:15:00 | ||
| Module 02 | |||
| lecture_13 Path Integration | 00:25:00 | ||
| lecture_14 Multidimensional Forms of the Fundamental Theorem of Calculus | 00:30:00 | ||
| lecture_15 Multi-variable Calculus | 00:20:00 | ||
| lecture_16 Periodic Functions | 00:30:00 | ||
| lecture_17 Fourier Theory | 00:25:00 | ||
| lecture_18 Ordinary Differential Equations | 00:15:00 | ||
| lecture_19 ODEs | 00:30:00 | ||
| lecture_20 Higher Order Differential Equations | 00:35:00 | ||
| lecture_21 Differential Operators, Damped | 00:40:00 | ||
| lecture_22 Resonance Phenomena, Higher Order Equations, Beam Theory | 00:15:00 | ||
| lecture_23 Systems of Differential Equations | 00:25:00 | ||
| lecture_24 Linear Differential Equations | 00:20:00 | ||
| lecture_25 Solutions to Differential Equations | 00:10:00 | ||
| lecture_26 Sturm-Louiville Problems | 00:10:00 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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