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Mathematics for University Entrance Exams Complete Preparat
Published 7/2026
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz, 2 Ch
Language: English | Duration: 4h 5m | Size: 3.03 GB
University Entrance Math: Algebra to Statistics
What you'll learn
Work confidently with sets, including subsets, unions, intersections, and complements, and represent relationships using Venn diagrams
Solve linear, quadratic, rational, and absolute-value inequalities and express solutions in interval notation
Analyze functions for domain, range, monotonicity, and even/odd symmetry, and interpret their graphs
Graph and apply power, exponential, logarithmic, and trigonometric functions, including the unit circle and key identities
Evaluate, graph, and find the domain and range of piecewise and absolute-value functions
Apply angle relationships, parallel-line theorems, and triangle properties to solve geometry problems
Use triangle congruence (SSS, SAS, ASA, AAS, RHS) and similarity criteria to prove results and find unknown lengths
Calculate the area of 2D shapes and the volume and surface area of 3D solids, including composite figures
Solve problems involving ratios, rates, proportions, and percentages, including percent change and percent error
Calculate probabilities and interpret data from statistical studies
Convert fluently between fractions, decimals, and percentages, and between units of length, area, and volume
Approach exam-style questions methodically and avoid the most common mistakes students make
Requirements
Basic arithmetic: comfortable with addition, subtraction, multiplication, and division
Familiarity with elementary algebra (working with variables, simple equations) is helpful but not essential
A notebook and pen for working through examples and practice exercises
No special software needed, just a willingness to learn and practice
Suitable for motivated beginners: each topic starts from the fundamentals and builds up step by step
Description
Most people don't struggle with math because they "aren't a math person." They struggle because somewhere along the way, a topic got skipped, rushed, or explained badly and everything built on top of it felt shaky ever since.
This course is built to fix exactly that.
It's a complete, ground-up review of the mathematics you need for university entrance and placement exams. Every topic starts from the very beginning and builds up one clear step at a time no leaps, no hand waving, no assuming you already know something. If a concept depends on an earlier idea, we make sure that earlier idea is solid first.
Here's how each chapter works. The key ideas are explained in plain language, the kind you'd actually use out loud. Then we work through examples together, step by step. After that comes a focused look at the mistakes students make most often the small slips that quietly cost marks in exams so you learn to spot and avoid them. Finally, you practice with exam-style questions, sorted by difficulty so you can start where you're comfortable and push further as your confidence grows.
What you'll cover
- Sets, relationships, and operations
- Inequalities of every type
- Functions: domain, range, behavior, and graphs
- Exponential, logarithmic, and trigonometric functions
- Piecewise and absolute-value functions
- Lines, angles, triangles, congruence, and similarity
- Area and volume in both 2D and 3D
- Ratios, rates, proportions, and percentages
- Data analysis and statistics
- Probability, tree diagrams, and counting methods
Every chapter comes with downloadable notes you can keep for revision, plus quizzes to test yourself as you go.
One honest word of advice: math is learned by doing, not by watching. So keep a notebook beside you, pause often, and try each problem yourself before looking at the solution. Do that consistently, and by the end you won't just recognize these topics you'll be able to work through them calmly and confidently, even under exam pressure.
No special software is required. If you're comfortable with basic arithmetic, you have everything you need to begin.
Who this course is for
Parents and guardians who want a structured, reliable math course to support a student preparing for university entrance or placement exams
Teachers and tutors looking for clear, ready-made material and practice exercises to use with their students
Adult learners returning to mathematics after a break, or needing to meet a math requirement for admission or further study
Students preparing for university entrance or standardized exams, used with the guidance and supervision of a parent, guardian, or tutor
Anyone who wants a complete, from-the-basics review of pre-university mathematics, explained step by step
Self-learners who prefer worked examples and exam-style practice over dense, abstract theory
Adults supporting a learner who struggles with math anxiety and needs each topic broken down clearly and patiently
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