MATH 1229A/B

UWO

Course Overview

Grade Boosters

Lessons & Practice

I. Welcome

54 sec

1. Vectors

2.2hr

1.1.1. Basics of Vectors5 min

1.1.2. Example1 min

1.1.3. Example1 min

1.1.4. Practice2 min

1.2.1. Vector Operations8 min

1.2.7. Practice (Tricky)5 min

1.3.1. Vector Properties4 min

1.3.2. Example3 min

1.3.3. Example3 min

1.3.4. Practice: Vector Properties2 min

1.4.1. Vector Norm5 min

1.5.1. Unit Vectors5 min

1.5.2. Example2 min

1.5.3. Practice2 min

1.6.1. Basics of Dot Product2 min

1.6.2. Example2 min

1.6.3. Practice1 min

1.7.1. Dot Product Properties3 min

1.8.1. Angle Between Vectors3 min

1.8.2. Example2 min

1.8.3. Example2 min

1.8.4. Practice: Dot Product & Angle2 min

1.8.5. Practice2 min

1.8.6. Practice

1.9.1. Cross Product4 min

1.9.2. Example3 min

1.9.3. Practice2 min

1.10.1. Cross Product Properties4 min

1.10.2. Example2 min

1.10.3. Example2 min

1.10.4. Practice2 min

1.10.5. Practice2 min

1.11.1. Cross Product and Area2 min

1.11.2. Example3 min

1.11.3. Practice4 min

1.12.1. Volume of a Parallelepiped1 min

1.12.2. Example2 min

1.12.3. Practice1 min

2. Equations of Lines and Planes

1.4hr

2.1.1. Lines in

\reals^n

2.2.1. Equations of Planes in

\reals^3

2.2.6. Practice (Tricky)4 min

2.3.1. Hyperplanes3 min

2.3.2. Example1 min

2.3.3. Practice3 min

2.4.1. Distances5 min

2.5.1. Intersection of Two Lines3 min

2.6.1. Intersection of Lines and Planes2 min

3. Systems of Linear Equations

1.6hr

3.1.1. Basics of Systems of Linear Equations8 min

3.1.2. Example3 min

3.1.3. Practice2 min

3.1.4. Practice3 min

3.2.1. Augmented Matrix3 min

3.3.1. Echelon Forms5 min

3.4.1. Reducing a Matrix5 min

3.5.1. Rank of a Matrix5 min

3.5.2. Example3 min

3.5.3. Practice38 sec

3.5.4. Practice1 min

3.6.1. Solving Linear Systems5 min

3.6.2. Homogeneous Systems2 min

3.7.1. Geometric Interpretation of Solutions to SLEs4 min

3.7.2. Example3 min

3.7.3. Practice3 min

4. Matrices

1.5hr

4.1.1. Basics of Matrices3 min

4.1.2. Matrix Arithmetic3 min

4.1.3. Example1 min

4.1.4. Practice2 min

4.2.1. Matrix Multiplication6 min

4.3.1. Matrix Transpose3 min

4.3.2. Symmetric Matrices3 min

4.3.3. Example3 min

4.3.4. Practice60 sec

4.3.5. Practice2 min

4.4.1. Matrix Inverse4 min

4.4.2. Example3 min

4.4.3. Practice32 sec

4.4.4. Practice2 min

4.5.1. Matrix Inverse Algorithm3 min

4.5.2. Example2 min

4.5.3. Example2 min

4.5.4. Practice2 min

4.6.1. Elementary Matrices7 min

4.7.1. Invertible Matrix Theorem2 min

4.7.2. Example1 min

4.7.3. Practice1 min

4.8.1. Solving Matrix Equations2 min

4.8.2. Example52 sec

4.8.3. Example4 min

4.8.4. Practice2 min

4.8.5. Practice54 sec

4.8.6. Practice2 min

Mock Exams

ME.1. Midterm Test 1 - Mock Assessment23 Qns

ME.2. Midterm Test 2 - Mock Assessment20 Qns

ME.3. Final Exam - Mock Assessment45 Qns

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Midterm Test 2 Overview

Course Notes

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MATH 1229A/B

Course Overview

Grade Boosters

1. Vectors

2. Equations of Lines and Planes

3. Systems of Linear Equations

4. Matrices

5. Determinants

Mock Exams

Midterm Test 2 Overview

Course Notes