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MATH1020: General Mathematics

Functions, geometry, series, counting and probability.

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1. Vectors, projections and geometry

Browse chapters

Chapter 1

1. Vectors, projections and geometry

1. Vectors, projections and geometry

Chapter 2

2. Functions, domains and inverse maps

2. Functions, domains and inverse maps

Chapter 3

3. Polynomial and rational functions

3. Polynomial and rational functions

Chapter 4

4. Trigonometry and inverse branches

4. Trigonometry and inverse branches

Chapter 5

5. Exponential and logarithmic functions

5. Exponential and logarithmic functions

Chapter 6

6. Partial fractions and rational decomposition

6. Partial fractions and rational decomposition

Chapter 7

7. Sequences, finite sums and convergent series

7. Sequences, finite sums and convergent series

Chapter 8

8. Counting, induction and the binomial theorem

8. Counting, induction and the binomial theorem

Chapter 9

9. Probability, conditioning and finite random variables

9. Probability, conditioning and finite random variables

Chapter 10

10. Complex numbers, polar form and roots

10. Complex numbers, polar form and roots

Chapter 11

Sets and functions: domain logic before algebra

Sets and functions: domain logic before algebra

Chapter 12

Trigonometric depth: domains, inverse branches and rational parametrization

Trigonometric depth: domains, inverse branches and rational parametrization

Chapter 13

Series depth: finite identities, models and certified tails

Series depth: finite identities, models and certified tails

Chapter 14

Power series: radius, endpoints and certified approximation

Power series: radius, endpoints and certified approximation

Chapter 15

Complex depth: rotations, root geometry and parameter cases

Complex depth: rotations, root geometry and parameter cases

Chapter 16

Probability depth: hidden conditions, protocol and dependence

Probability depth: hidden conditions, protocol and dependence

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