Exam Prep Notes

These notes provide a clear and structured summary of Theme 5.2: Decomposition of Organic Material for GKD250 Soil Science at the University of Pretoria. The document explains the processes responsible for breaking down organic residues in soil and the transformation of carbon and nitrogen during decomposition, which are essential concepts for understanding soil fertility and nutrient cycling. Topics covered include: Definition and processes involved in organic material decomposition ...

These notes provide a clear and structured summary of Theme 5.1: Components of Soil Organic Matter (SOM) for GKD250 Soil Science at the University of Pretoria. The document explains the structure, components and functions of soil organic matter, which are essential concepts for understanding soil fertility, nutrient cycling and carbon storage in soils. Topics covered include: Definition and components of Soil Organic Matter (SOM) Biomass – living soil organisms and their ecological...

This bundle contains complete study notes for STK 210 Statistics designed to help students prepare for tests and exams. The package includes summaries and explanations of the most important theory topics covered in the course. Included topics: • Matrix algebra and matrix operations • Sigma notation and summation rules • Variance, standard deviat

This document contains a complete guide to SAS practical work for STK 210 statistics, covering Practicals 1–5. The notes include explanations and SAS code examples to help students understand how statistical calculations and data analysis are performed using SAS. Topics covered include: • PROC IML basics (Interactive Matrix Language) • Scalars, vectors and matrices in SAS • Matrix operations and matrix functions • Descriptive statistics (mean, median, variance, standard devia...

These study notes explain discrete probability distributions used in statistics for STK 210. The document provides clear explanations and worked examples to help students understand how probability distributions are constructed and interpreted. Topics covered include: • Sample spaces and random variables • Discrete random variables and their ranges • Probability mass functions (PMF) • Cumulative distribution functions (CDF) • Calculating probabilities using PMF and CDF • ...

These study notes explain the core concepts of probability theory used in statistics for STK 210. The document provides clear explanations and examples to help students understand probability concepts used in statistical analysis and decision making. Topics covered include: • Sample space and outcomes • Events and set notation in probability • Probability rules and axioms • Complement and addition rules • Conditional probability and the multiplication rule • Independent v...

These study notes explain the fundamental counting techniques used in probability and statistics for STK 210. The document provides clear explanations, formulas and examples to help students understand how to count possible outcomes in probability problems. Topics covered include: • Basic counting rule and sequential choices • Factorials and factorial simplification • Permutations (order matters) • Combinations (order does not matter) • Repeated objects and partitions • C...

These study notes explain Sigma notation and its applications in statistics for STK 210. The document provides clear explanations, formulas and full worked examples to help students understand key statistical calculations. Topics covered include: • Sigma notation and summation rules • Expanding sigma expressions • Mean calculation using sigma notation • Uncorrected and corrected sum of squares (USS & CSS) • Variance and standard deviation formulas • Covariance and correla...

These study notes explain the fundamentals of matrix algebra used in statistics and econometrics. The document provides clear explanations and examples of the most important matrix concepts used in statistical analysis and quantitative methods. Topics covered include: • What a matrix is and how matrices represent data • Matrix dimensions, rows and columns • Matrix addition, subtraction and scalar multiplication • Matrix multiplication and matrix algebra rules • Determinants ...

This bundle contains complete exam preparation notes for GKD250 Soil Science at the University of Pretoria, covering Themes 1–4 of the module. The notes are structured and simplified to help students quickly revise key concepts before semester tests and final exams. The study pack includes summaries of the following topics: Theme 1 – Soil Fundam