MAT 101 Linear Algebra & Calculus , S1 (2019 Scheme) Mathematics, KTU BTech
Learn with BTech Mathematics
5 modules
Lifetime access
Master linear algebra and calculus in this comprehensive course tailored for KTU BTech students.
Overview
MAT 101 Linear Algebra & Calculus is a foundational course that combines concepts from linear algebra and calculus to provide students with a strong mathematical background. The course delves into topics such as matrices, vectors, derivatives, integrals, and their applications in solving real-world problems. Through a blend of theory and practical exercises, students will develop a deep understanding of fundamental mathematical concepts and sharpen their problem-solving skills.
Key Highlights
Foundational course in linear algebra and calculus
Covers matrices, vectors, derivatives, and integrals
Emphasizes theoretical understanding and practical applications
What you will learn
Understanding of Matrices and Vectors
Learn to manipulate matrices and vectors, understand their properties, and solve linear equations using these tools.
Calculus Fundamentals
Master the basics of calculus, including derivatives, integrals, limits, and applications of these concepts in various fields.
Problem-Solving Skills
Enhance your problem-solving abilities by applying linear algebra and calculus techniques to real-world scenarios and mathematical problems.
Modules
Module 01
9 attachments • 4 hrs
Gauss Elimination Method | Solution of System of Linear Equations
Rank Of a Matrix | Linear Algebra (Part 2)
Eigen Values & Eigen Vectors| MAT 101 Linear Algebra & Calculus | Module 1 (Part 3) | S1(2019) KTU
Diagonalization of a Matrix | Linear Algebra (Part 4)
Quadratic Form & Canonical Form | Linear Algebra (Part 5)
Gauss Elimination Method | MAT 101 LAC Module 1(Part 6) | S1 (2019) | KTU BTech| LACA | PDTNM| PRPN
MAT 101 Linear Algebra & Calculus- Module 1 - Introduction - Rank of a Matrix- KTU BTech S1(2019)
MAT 101 Linear Algebra & Calculus- Module 1 - Rank of a Matrix-PYQ's - KTU BTech S1(2019)#btech #ktu
MAT 101 Module 1 Notes
10 pages
Module 02
11 attachments • 3 hrs
Partial Derivatives (Part 1)
Partial Derivatives (Part 2)
Partial Derivatives (Part 3) Second Order
Laplace Equation
Higher order Partial Derivatives
The Chain Rule
Chain Rule for Partial derivatives
Maxima and Minima
Absolute Maxima & Absolute Minima
Total Differential
Local Linear Approximation
Module 03
12 attachments • 5 hrs
Double Integrals
Double integrals over Non rectangular region
Double Integrals in Polar Coordinates
Changing the order of Integration
Triple Integrals
Triple Integral in Cylindrical & Spherical Coordinates
Cylindrical to Spherical Coordinates Conversion
Mass and Centre of gravity of a lamina | S1 KTU Calculus
Change of Variables by Jacobian | Multiple Integrals | BTech BSc Mathematics | Various Universities
Area Using Double Integrals | MAT 101 Module 3 | Multiple Integrals | S1(2019),S1(2015) | KTU BTech
Double Integral in Polar Coordinates | MA 101 Calculus | MAT 101 Linear Algebra & Calculus | KTU
Double Integrals - Questions |Module 3 S1(2019) MAT 101- Module 2 | MG University | BSc Physics -KTU
Module 04
5 attachments • 2 hrs
Geometric Series | Sequence & Series (Part 1)
Telescoping Sum| Sequence & Series (Part 2)
Ratio Test & Root Test for convergence of an infinite series| Sequence & Series (Part 3)
Limit Comparison Test | Sequence & Series (Part 4)
Alternating Series, Absolute Convergence & Conditional Convergence
Module 05
7 attachments • 2 hrs
Taylor Series and Maclaurin Series | Series of Functions (Part 1)| Calculus
Interval of Convergence & Radius of Convergence
Fourier Series, Euler's Formula KTU
Fourier Series, Even or Odd Functions | KTU
Half Range Fourier Sine Series , Half Range Fourier Cosine Series
Fourier Series | Problems| KTU
Binomial Series (Part 7) Module 5 - Series Representation-MAT 101 Linear Algebra & Calculus- KTU
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Absolutely! we are committed to providing an engaging and interactive learning experience. You will have opportunities to interact with them through our community. Take full advantage to enhance your understanding and gain insights directly from the expert.
About the creator
Learn with BTech Mathematics
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