Advanced Mathematics is a dynamic online course designed to explore complex mathematical concepts and their practical applications. This comprehensive course delves into advanced topics such as calculus, linear algebra, differential equations, and mathematical modeling. Through a combination of theoretical instruction and hands-on problem-solving exercises, participants will deepen their understanding of mathematical principles and develop critical thinking skills necessary for tackling real-world challenges. Whether you’re a student looking to expand your mathematical knowledge or a professional seeking to enhance your analytical abilities, this course offers a rigorous yet accessible exploration of advanced mathematical concepts.
This course is divided into modules, each focusing on a specific area of advanced mathematics. Participants will begin by revisiting fundamental concepts before progressing to more intricate topics. Throughout the course, emphasis will be placed on practical applications, encouraging learners to apply mathematical theories to solve real-world problems. By the end of the course, participants will have gained a deeper appreciation for the beauty and utility of advanced mathematics, equipping them with the skills to approach complex problems with confidence and creativity.
On Completion of this Advanced Mathematics online course, you’ll acquire:
Advanced Mathematics offers a comprehensive exploration of complex mathematical concepts, providing participants with the tools and techniques necessary to tackle sophisticated problems across various disciplines. From calculus and linear algebra to differential equations and mathematical modeling, this course covers a wide range of topics designed to deepen participants’ understanding of advanced mathematics and its practical applications. Through a combination of theoretical instruction, practical examples, and interactive exercises, participants will develop critical thinking skills and problem-solving abilities essential for success in academia and beyond.
This course is suitable for advanced undergraduate students, graduate students, professionals, and anyone with a keen interest in exploring complex mathematical concepts and their applications.
Basic understanding of calculus, linear algebra, and differential equations recommended.
Upon successful completion of the Advanced Mathematics course, learners can obtain both a PDF certificate and a Hard copy certificate for completely FREE. The Hard copy certificate is available for a nominal fee of £3.99, which covers the delivery charge within the United Kingdom. Additional delivery charges may apply for orders outside the United Kingdom.
An outstanding online course with clear explanations and practical examples. I could study at my own pace and still feel fully supported throughout. It’s truly boosted my confidence and career prospects
The course was well-structured, engaging, and easy to follow. The flexibility made it perfect alongside my full-time job. I’ve gained valuable, real-world skills that I can apply immediately.
Excellent learning experience from start to finish. The content was professional, up-to-date, and highly relevant. I would highly recommend it to anyone looking to upskill online.
| 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 | ||
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You will have 14 days to revoke your Course purchase from your purchase date. Regrettably, refunds are not allowed after your purchase have been approved, and materials have been posted to the student’s dashboard or accessed.
Yes, learners receive a downloadable digital certificate upon successful completion, suitable for CPD records, CVs, and professional portfolios.
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