Overview Advanced mathematics can feel difficult when logic, matrices, trigonometry and linear programming are studied without structure. With many UK …
| Unit 01: Introduction | |||
| Introduction | 00:01:00 | ||
| Unit 02: Mathematical Logic | |||
| Introduction to Mathematical Logic, What is Sentence, Statements and their Types | 00:02:00 | ||
| Introduction to Logical Connectivity, Tautology, Contradiction, Contingency, Pattern | 00:06:00 | ||
| Quantitative and Quantified Statement and types and example | 00:03:00 | ||
| Dual: Replacing of Connections and Symbols | 00:02:00 | ||
| Negations of Compound Statement, Converse, Inverse, & Contrapositive | 00:03:00 | ||
| Algebra of Statements and Law | 00:05:00 | ||
| Real Life application of Logic to Switching Electric Circuit | 00:05:00 | ||
| Unit 03: Matrices | |||
| Introduction to Matrices, Multiplication and Addition using Matrix | 00:06:00 | ||
| Inverse of Matrix Uniqueness of Inverse, Elementary Transformation | 00:09:00 | ||
| Method of REDUCTION AND INVERSION with real life example how we can implement | 00:17:00 | ||
| Unit 04: Trigonometric Functions | |||
| Introduction to Trigonometric Function | 00:03:00 | ||
| General Solutions and Theorem | 00:10:00 | ||
| Solution of Triangle: Polar Co-ordinates | 00:22:00 | ||
| Rules and Theorems of Sin Cosine and Tan | 00:22:00 | ||
| Unit 05: Pair of Straight Line | |||
| Introduction & Combined Equations | 00:07:00 | ||
| Degrees and Types | 00:13:00 | ||
| Some Theorem | 00:17:00 | ||
| Unit 06: Lines & Planes | |||
| Introduction – vector Cartesian theorem | 00:02:00 | ||
| Cartesian Equation & 2 Point Theorem | 00:03:00 | ||
| Theorems & Problem Solving | 00:05:00 | ||
| Distance of Point Line | 00:05:00 | ||
| Skew Lines | 00:01:00 | ||
| Distance of skew lines | 00:03:00 | ||
| Distance between parallel lines | 00:02:00 | ||
| Equation of Plane and Cartesian Form | 00:10:00 | ||
| Unit 07: Linear Programming | |||
| Linear Programming Introduction | 00:08:00 | ||
| Introduction to LPP (Linear Programming Problem) | 00:05:00 | ||
| LPP Problem Solving | 00:07:00 | ||
| Assignment | |||
| Assignment -Advanced Mathematics | 00:00:00 | ||
The Advanced Mathematics Course is an online maths programme covering mathematical logic, matrices, trigonometric functions, straight lines, lines and planes, and linear programming. It helps learners strengthen analytical thinking, quantitative reasoning, and higher-level problem-solving for study or future career development.
This course is best for learners who already understand basic maths and want to move into higher-level topics. Beginners may still study it, but extra revision may help before tackling logic, matrices, trigonometry, lines, planes, and optimisation problems with confidence.
Learners study mathematical logic, matrices, trigonometric functions, pairs of straight lines, lines and planes, and linear programming. These topics support algebraic reasoning, geometric understanding, optimisation thinking, and structured problem-solving for academic, technical, finance, research, or data-related learning pathways.
Yes. The course includes matrix topics such as addition, multiplication, inverse matrices, elementary transformation, reduction, and inversion methods. These lessons help learners understand matrix algebra and apply structured calculation methods to more advanced mathematical problems.
Yes. The course introduces linear programming, LPP meaning, and LPP problem-solving. This helps learners understand optimisation methods used when decisions involve limited resources, constraints, possible outcomes, and the need to identify the most suitable solution.