WTW 146 Lecture Slides-Week 1 PDF (2024)

Document Details

ComplimentaryPhiladelphia

Uploaded by ComplimentaryPhiladelphia

University of Pretoria

2024

Dr BY Yizengaw (Belayneh)

Tags

linear algebra vectors matrices mathematics

Summary

These lecture slides cover Week 1 of WTW 146, focusing on linear algebra concepts like vectors, matrices, determinants, and complex numbers. The slides include definitions, examples, and visuals for each topic.

Full Transcript

WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) GENERAL INTRODUCTION Coordinator and Lecturer: Dr BY Yizengaw (Belayneh) Email: [email protected] Textbook: Elementary Linear Algebra - Ron Larson (2th Custom Edition), Compiled by Alta Jooste, Cengage...

WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) GENERAL INTRODUCTION Coordinator and Lecturer: Dr BY Yizengaw (Belayneh) Email: [email protected] Textbook: Elementary Linear Algebra - Ron Larson (2th Custom Edition), Compiled by Alta Jooste, Cengage Learning 2018. Useful Information: 1. Read (pp. 1-7) of the study guide for the necessary information. 2. All announcements will be via clickUP. 3. Class(Lecture + Practical) attendence is mandatory. 4. Use consultation hours(to be on clickUP soon) effectively. WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) Module Organization: Theme 1- Vectors Theme 2- Matrices and Systems of Linear Equations Theme 3- Determinants Theme 4- Complex Numbers Preparation: Refer the module breakdown and the study guide Attend classes Read the textbook and lecture slides Do problems ClickUP Tests: Thursday @ 5:30pm as per the module breakdown WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) THEME 1: VECTORS Unit 1.1 Vectors Source: Textbook, Section 4.1 Learning Outcomes: On completing this unit you should be able to: 1. Represent a vector as a directed line segment; 2. Perform basic vector operations in and represent them graphically; 3. Perform basic vector operations in ; and 4. Write a vector as a linear combination of other vectors. WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) Unit 1.2 Length and Dot Product of Vectors in Source: Textbook, Section 5.1 Learning Outcomes: On completing this unit you should be able to: 1. Find the length of a vector and a unit vector; 2. Find the distance between two vectors; 3. Find the dot product and the angle between two vectors and determine orthogonality; and 4. Verify and apply the Cauchy-Schwarz inequality, the triangle inequality and the Pythagorean theorem. WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024) WTW 146 Lecture Slides-Week 1(Units 1.1&1.2-2024)

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