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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

Course Reviews

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