SOWISO - UvA

Advanced Calculus

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Open course material Advanced Calculus offered by the Teaching and Learning Centre of FNWI.

Author: André Heck, Marthe Schut

Chapters

Complex numbers

Introduction to Fourier Analysis

Functions of several variables

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

Calculus

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Open course material Calculus offered by the Teaching and Learning Centre of FNWI.

Auteurs: André Heck, Marthe Schut

Chapters

Functions and graphs

Basic functions

Exponential functions and logarithms

Trigonometry

Parametric curves

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

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.

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 by the Teaching and Learning Centre of FNWI.

Authors: André Heck, Jolien Oomens, Marthe Schut

Chapters

Vectors

Systems of linear equations

Matrices

Linear mappings

Eigenvalues and eigenvectors

SVD, pseudoinverse, and PCA

Precalculus

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Open course Precalculus offered by the Teaching and Learning Centre of FNWI.

Author: André Heck

Chapters

Using the formula editor

Calculating with numbers

Calculating with letters

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 Science Subjects offered by the Teaching and Learning Centre of FNWI.

Author: André Heck

Chapters

Bioelectricity

Chemical reaction kinetics

Gene regulation