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The Vector Space Rn

10 videos · 55m 32s

Linear Combination, Dependence and Span

13 videos · 1h 17m 25s

Linear Dependence in R^n

5 videos · 25m 26s

Basis for Rn

5 videos · 31m 40s

Solution Space of Homogenous SLE

6 videos · 54m 33s

Subspaces

6 videos · 36m 15s

Row and Column Spaces

3 videos · 14m 52s

Change of Basis

6 videos · 27m 34s

Vector Spaces

27 videos · 1h 27m 27s

Linear Combinations and Span

1 video · 20m 16s

Linear Dependence

12 videos · 1h 30s

Basis for Known Vector Spaces

3 videos · 28m 43s

Basis for a Solution Space, Homogeneous SLE

3 videos · 11m 18s

Basis of a Subspace of a Known Vector Space

2 videos · 5m 1s

Coordinate Vectors and Change of Basis

7 videos · 40m 46s

Introduction to 2D and 3D Vectors

2 videos · 33m 54s

Vector Arithmetic

5 videos · 39m 49s

Vectors Dot Product

8 videos · 1h 11m 51s

Vectors Cross Product

6 videos · 55m 58s

The 3D Coordinates System

5 videos · 33m 40s

Equations of Lines

8 videos · 57m 36s

Equations of Planes

11 videos · 1h 33m 36s

Quadric Surfaces

6 videos · 33m 15s

Introduction

5 videos · 17m 33s

Categorization of Variables and Measuring Scales

6 videos · 32m 13s

Summation

5 videos · 20m 43s

Measure of Central Tendency

15 videos · 1h 28m 30s

Measures of Dispersion - Range, Variance, and Standard Deviation

10 videos · 55m 22s

Measures of Dispersion - Interquartile Range

4 videos · 21m 7s

Data Presentation

14 videos · 1h 3m 39s

BoxPlots

3 videos · 15m 39s

Weighted Average and Combined Variance

4 videos · 21m 6s

Coefficient of Variation

5 videos · 10m 36s

Analysis of Printout

2 videos · 7m 24s

Transformations of Measuring Scales

5 videos · 19m 13s

Measures of Relative Location - Standard Score

5 videos · 19m 23s

Measures of Relative Location - Percentiles in Categories

11 videos · 51m 2s

Percentiles in a Discrete Frequencies Table

4 videos · 13m 37s

Linear Transformations

8 videos · 39m 41s

The Probability Function

9 videos · 49m 25s

Expectation, Variance, and Standard Deviation

32 videos · 3h 18m 1s

General Probabilities without Integrals

15 videos · 1h 34m 10s

Normal Probability

30 videos · 3h 36m 12s

Linear Measure of Association (Pearson)

16 videos · 1h 8m 34s

Effect of Linear Transformation on Pearson Measure of Association

5 videos · 18m 21s

Linear Regression

7 videos · 31m 9s

Regression - Explained and Unexplained Variance

7 videos · 18m 49s

Cramer's Measure of Association

5 videos · 29m 43s

The Phi Measure of Association

4 videos · 11m 6s

Lamda Measure of Association

4 videos · 23m 8s

Spearman Measure of Association

5 videos · 32m 45s

Eta Measure of Association

4 videos · 31m 43s

The Multiplication Principle

13 videos · 49m 3s

Permutations - Objects Ordered in a Row

10 videos · 31m 23s

Permutations with Identical Objects

8 videos · 14m 47s

Permutations with and without Returns

7 videos · 31m 33s

Non-Sequential Sampling without Returns

13 videos · 1h 2m 42s

Non-Sequential Sampling with Returns

15 videos · 41m 33s

Summary Questions

28 videos · 2h 28m 21s

Binomial Expansion

17 videos · 2h 25m

Conditional Probability in a Uniform Sample Space

12 videos · 34m 24s

Conditional Probability in a Non-Uniform Space

17 videos · 1h 6m 10s

Tree Diagrams the Bayes Formula and the Complete Probability Formula

30 videos · 1h 37m 42s

Dependent and Independent Events

11 videos · 48m 27s

Summary Questions

18 videos · 1h 25m 10s

Introduction

1 video · 23m 8s

Separable Equations

14 videos · 46m 20s

Homogeneous Equations

11 videos · 1h 39s

Homogeneous after Substitution

6 videos · 34m 23s

Exact Equations

8 videos · 47m 21s

Integration Factor

17 videos · 1h 56m 45s

Linear Equations

9 videos · 33m 27s

Ricatti Equations

5 videos · 40m 23s

Existence and Uniqueness

11 videos · 1h 15m 47s

Word Problems

18 videos · 1h 14m 59s

Bernoulli Equations

6 videos · 28m 39s

Missing X or Y, Reduction of Order

9 videos · 39m 39s

Linear, Homogeneous, Constant Coefficients

10 videos · 20m 10s

Linear, Nonhomogeneous, Constant Coefficients - Method of Undetermined Coefficients

15 videos · 1h 30m 47s

Linear, Nonhomogeneous, Constant Coefficients - Method of Variation of Parameters

11 videos · 1h 16m 18s

Eulers Equation

2 videos · 18m 23s

Linear, Homogeneous, Non-Constant Coefficients - 2nd Solution Method

5 videos · 41m 33s

The Wronskian and its Uses

10 videos · 57m 53s

Sturm-Liouville Problems

11 videos · 1h 51m 59s

1. Basic Equations for Circular Motion

7 videos · 10m 11s

2. Basic Example for Circular Motion

1 video · 4m 59s

3. Centrifugal Force

2 videos · 5m 22s

4. Exercise Mass on a Rotating Table

1 video · 8m

5. Position, Velocity and Acceleration Vectors

9 videos · 30m 21s

End of Chapter Questions

7 videos · 1h 22m 59s

End of Chapter Questions (Advanced)

1 video · 22m 57s

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Hey there MPC1 student!

We have designed this module on Maths and Physics for Chemists 1 for those who are studying at Imperial College London and want to consolidate their understanding and learn from experts and professors, at any time, and from anywhere.

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Amos Bahiri earned his undergraduate degree in Mathematics, and then went on to earn two Master’s Degrees (MS) in Mathematics and Computer & Information Science from Ohio State University. In addition to being an outstanding instructor of mathematics, Amos is known for his math jokes.

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