SOWISO - UvA

Advanced Calculus

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Open course material Advanced Calculus offered by KdVI, SMASH and TLC-FNWI

Authors: André Heck, Marthe Schut

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Chapters

Complex numbers

Fourier series

Functions of several variables

Multiple integrals

Ordinary differential equations

Systems of differential equations

Basic R

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Open course on the basics of R and RStudio (4 hours).
Offered by the Teaching and Learning Centre of FNWI.

Chapters

0. The Basics of R

Beginner's Guide to R

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Open guide Beginner's Guide to R offered KdVI and SMASH

Authors: André Heck, Zilva van Rossum, Karen Villari

Full access via UvAnetID

Chapters

Introduction

Setting up R and RStudio

Getting familiar with the working environment

Basic skills in R

Basic programming

Calculus

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Open course material Calculus offered by KdVI, SMASH and TLC-FNWI

Auteurs: André Heck, Marthe Schut

Full access via UvAnetID

Chapters

Functions and graphs

Basic functions

Exponential functions and logarithms

Trigonometry

Parametric curves

Numerical methods for solving a nonlinear equation

Differentiation, derivatives and Taylor approximations

Numerical differentiation

Iteration of functions

Limits part 1: Infinite sequences

Limits part 2: Functions

Infinite series

Differentials and integrals

Improper integrals

Numerical Integration

Unlimited growth

Limited exponential growth

Logistic growth

Doing mathematics with R

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Open course material Doing mathematics with R offered by KdVI and SMASH

Author: André Heck

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Chapters

Doing mathematics with R

General Statistics

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Open course on descriptive and inferential statistics with theory and interactive exercises.
Offered by the Teaching and Learning Centre of FNWI

Full access via UvAnetID

Chapters

0. The Basics of R

1. Descriptive Statistics

2. Association and Correlation

3. Probability

4. Probability Distributions

5. Sampling

6. Parameter Estimation and Confidence Intervals

7. Hypothesis Testing

8. Testing for Differences in Means and Proportions

9. Simple Linear Regression

10. Categorical Association

Formulas, Statistical Tables and R Commands

Quizzes

Linear Algebra

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Open course Linear Algebra offered KdVI, SMASH and TLC-FNWI

Authors: André Heck, Jolien Oomens, Marthe Schut

Full access via UvAnetID

Chapters

Vectors

Systems of linear equations

Matrices

Linear mappings

Eigenvalues and eigenvectors

SVD, pseudoinverse, and PCA

Logic

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Open course material Logic offered by KdVI and SMASH

Author: André Heck

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Chapters

Propositional Logic

Mathematics for AI

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Open course Mathematics for AI offered by IvI and SMASH (only available in English)

Authors: Floor Eijkelboom, Tin Hadži Veljković, André Heck

Full access via UvAnetID

Chapters

Math4AI

Linear Algebra

Calculus

Statistics

Precalculus

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Open course Precalculus offered by KdVI, SMASH en TLC-FNWI.

Author: André Heck

Full access via UvAnetID

Chapters

Using the formula editor

Calculating with numbers

Calculating with letters

Elementary combinatorics

Solving linear equations and inequalities

Solving quadratic equations and inequalities

Preknowledge Math-A course

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This concerns the preknowledge expected before the start of the KdVI course Mathematics A.

Chapters

Using the formula editor

Calculating with numbers

Calculating with letters

Preknowledge Math-B course

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This concerns the preknowledge expected before the start of the KdVI course Mathematics B.

Chapters

Using the formula editor

Calculating with numbers

Calculating with letters

Solving equations and inequalities

Science Subjects

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Open course materials Various Science Subjects offered by KdVI and SMASH.

Author: André Heck

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Chapters

Bioelectricity

Chemical reaction kinetics

Gene regulation

Set Theory

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Open course Set Theory offered by KdVI and SMASH

Author: André Heck

Full access via UvAnetID

Chapters

Naive set theory