Syllabus
The structure of this tutorial
This tutorial runs over six sessions of 90 minutes, followed by one voluntary mock exam. Each session covers one topic that recurs across your KLU M.Sc. courses. The sessions build on one another, so following the order pays off, but every session also stands on its own if you want to revise a single topic.
Session dates are still to be scheduled and are marked TBD below. This page will be updated once the schedule is fixed.
Sessions
| # | Topic | What it covers | Date |
|---|---|---|---|
| 1 | Notation & Logic | Number sets, intervals, sums and products, indices; statements, implication, and quantifiers | TBD |
| 2 | Sets | Elements, subsets, and cardinality; union, intersection, difference, and complement; Cartesian products and power sets; sets in business | TBD |
| 3 | Functions | Domain and range; the function gallery from linear to logarithmic; composition and inverses; monotonicity, convexity, and concavity | TBD |
| 4 | Differentiation | Rates of change and the derivative; power, product, quotient, and chain rules; the second derivative and marginal analysis | TBD |
| 5 | Single Variable Optimization | Stationary points and the first-order condition; second-order test; local vs. global; profit maximization and the economic order quantity | TBD |
| 6 | Systems of Linear Equations | From one equation to a system; Gaussian elimination; one, no, or infinitely many solutions; equilibrium and production planning | TBD |
| 7 | Mock Exam (voluntary) | A self-diagnosis under exam-like conditions, spanning all six sessions, with fully worked solutions | TBD |
The Homework Rhythm
Each session comes with a set of homework tasks and a short self-test quiz. You work on them between sessions, at your own pace. Nothing is collected or graded.
- The tasks are problems with fully worked solutions (hidden until you want them). Treat them as the place where the real learning happens.
- The self-test quiz is a quick, formative check with instant feedback.
- The cheatsheet is a one- to two-page reference you can print and keep next to you while practicing.
Every session (from Session 2 onward) opens with a recap and your questions on the previous homework. So make a note of anything that stayed unclear and bring it along: that discussion is part of the plan.
Materials
All materials live on this website. Lectures are available as a web page, as reveal.js slides, and as a PDF (use the format links at the top of each lecture). Task sets can be printed as a worksheet, with solutions kept on the website.
For textbook and self-study recommendations, see the Literature page. For practical questions, see the FAQ.