MAT1503 exam papers, memo's and NOTES
This zipped file contains exams and memo's from 2011 - 2017 and a lot of notes and examples on all topics including matrices, complex numbers and vectors. You guaranteed to pass if you go through this thoroughly.
Physical Sciences (Physics) : Introduction to forces and vectors/scalars
(Good for Grade 11 and 12 Physical Sciences too - follows the same scope)
After this unit you should be able to:
•Write any vector in its component form
•Calculate the magnitude of any vector quantity
•Apply vector addition to any number of vectors
These notes come with lots of examples with fully worked solutions.
Statics - Force Vectors
Scalars are basic quantities without a direction (mass, time, etc.) Vectors are used to describe a quantity with a magnitude (quantity) and direction (angle of application). These notes cover the addition/subtraction/multiplication/division of vectors in a force system. Examples cover breaking down vectors into component forces and determining resultant vectors.
Vectors, dot and cross product
Rough lecture notes from 1st year engineering degree. Includes vectors, vector algebra, scalar/dot product, vector/cross product,
Accelerated Precalculus Vectors — Complex Plane
Handwritten Precalculus Notes for Vectors (Unit 2)
- 2.1: Vector Magnitude, Direction, and Forms
- 2.2: Vector Components
- 2.3: Adding Vectors in Component Form
- 2.4: Vector Addition in Magnitude and Direction Form
- 2.5: Subtracting Vectors
- 2.6: Scalar Vector Multiplication Component-wise
- 2.7: Magnitude and Direction of Scalar Products
- 2.9: Vector Applications
Physical Science Paper 1 (Physics) Notes
Matric IEB - Physical Science (Physics):
An in-depth summary of all the content in the IEB physical science syllabus for paper 1. Includes definitions, equations, graphs, diagrams, standard answers, and explanations.
Covers the following content:
- Newton's Laws
- Work, Energy & Power
- Gravitational Fields
- Current Electricity
- Electromagnetic Induction
- Photons and Electrons
Provides an in-depth summary of vectors as described in the A-Level syllabus, including proofs and explainations. The document covers the topics of drawing vectors in 2 and 3 dimensions as well as working with normal vecotor forms and the vector equation of a line.
13.1-2 vectors in 2 and 3 dimensions
13.1-2 of Calc 2, covering the basics of vectors, vector notation, vector mathematics, and vectors in both 2 and 3 dimensions