Linear Algebra (S1, Ganjil 2023, 3 SKS)
*** "Integrity is doing the right thing, even when no one is watching." – C.S. Lewis ***
*** "Honor your commitments with integrity." – Les Brown ***
Lecturer: Dewi Sintiari
Textbooks:
- Elementary Linear Algebra Applications Version - Howard Anton, Shris Rorres (2013)
Lecture:
- Week01 - Introduction to Linear Algebra
- Week02 - Algebra of Matrices
- Week03 - System of Linear Equations
- Week03 - Algorithm for Solving System of Linear Equations
- Week04 - Gaussian Method
- Week04 - Gauss-Jordan Algorithm
- Week04 - Applications of Linear System
- Week05 - Determinant of Matrices (part 1)
- Week05 - Determinant of Matrices (part 2)
- Week06 - Inverses of Matrices (part 1)
- Week06 - Inverses of Matrices (part 2)
- Week07 - Vector (part 1)
- Week07 - Vector (part 2)
- Week09 - Euclidean Vector Space
- Week09 - General Vector Space
- Week10 - Subspace
- Week11 - Spanning Set, & Linear Independence
- Week12 - Basis & Dimension
- Week12 - Change of Basis
- Week12 - Row, Column, and Null Space
- Week13 - Linear Transformation in Vector Space
- Week13 - Types of Linear Transformation
- Week13 - Properties of Linear Transformation
- Week13 - Intuition behind Linear Transformation
- Week14 - Intuition behind Eigenvector
- Week14 - Eigenvectors and eigenvalues
- Week15 - Diagonalization
- Week15 - Singular Value Decomposition
Assignment:
Assignment 1: Review of Pretest dan Quiz 1
Assignment 2: Determinants
Assignment 3: Vectors orthogonality & vector projection (part of group discussion)
Class Activity:
Activity 1: Group discussion "Gaussian Elimination"
Activity 2: Group discussion "Determinant"
Activity 3: Group discussion "Euclidean Vector Space"
Activity 4: Group discussion "Basis and Dimension"
Exam:
- The Midterm Examination will be done on the week of October 9-14, 2023.
- The Final Examination TBA will be done on the week of December 11-20, 2023.
Teaching Preparation:
- Syllabus
- Lesson Plan
- Student Assignment Plan
- Course Contract