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All notes on Calculus I (M30215)
This package contains all notes on 1st year Calculus. They include colour and is very useful for anyone who already or wants to study Calculus.
- Package deal
- • 12 items •
- Lecture Notes on Notation and Functions • Lecture notes
- Lecture Notes on Limits in Calculus I (M30215) • Lecture notes
- Lecture Notes on Continuity and Differentiability • Lecture notes
- Lecture Notes on Further Differentiation and Limits • Lecture notes
- Lecture Notes on Plotting Graphs • Lecture notes
- And more ….
This package contains all notes on 1st year Calculus. They include colour and is very useful for anyone who already or wants to study Calculus.
Lecture Notes on Sequences and Series
This document contains everything you need to know about Sequences and Series. It contains every different test you can do to test for convergence and evaluate series. It also contains theorems and proofs of the theorems. In addition, it contains the properties of limits and every type of sequence and series. This is a very useful document for any student studying Calculus.
- Package deal
- Lecture notes
- • 8 pages •
This document contains everything you need to know about Sequences and Series. It contains every different test you can do to test for convergence and evaluate series. It also contains theorems and proofs of the theorems. In addition, it contains the properties of limits and every type of sequence and series. This is a very useful document for any student studying Calculus.
Lecture Notes on Multiple Integration
This document contains everything you need to know about multiple integration. This is very useful to any student studying calculus.
- Package deal
- Lecture notes
- • 2 pages •
This document contains everything you need to know about multiple integration. This is very useful to any student studying calculus.
Lecture Notes on Partial Differentiation
This document contains everything you need to know to fully grasp the concept and usefulness of multivariable differentiation. This contains proof of the chain rule, informal and formal definitions of limits, level sets, level curves and tangent planes. It also includes information about critical points, derivatives, directional derivatives and much more. This is very useful for any student studying Calculus
- Package deal
- Lecture notes
- • 8 pages •
This document contains everything you need to know to fully grasp the concept and usefulness of multivariable differentiation. This contains proof of the chain rule, informal and formal definitions of limits, level sets, level curves and tangent planes. It also includes information about critical points, derivatives, directional derivatives and much more. This is very useful for any student studying Calculus
Lecture Notes on Hyperbolic Functions
This document contains the definitions and everything you need to know on Hyperbolic Functions. This mainly focuses on the definitions of the functions and the differentiated and integrated versions. This is very useful for any student studying Calculus
- Package deal
- Lecture notes
- • 3 pages •
This document contains the definitions and everything you need to know on Hyperbolic Functions. This mainly focuses on the definitions of the functions and the differentiated and integrated versions. This is very useful for any student studying Calculus
Lecture Notes on Further Integration
This document contains everything you need to know on the tougher aspects of integration. It focuses mainly on reduction formulae of sin , cos and tan and their proofs. However, it does also include integrals using partial fractions, Product powers of sin and cos and Pythagorean Substitutions. This document is very useful for any student studying calculus.
- Package deal
- Lecture notes
- • 6 pages •
This document contains everything you need to know on the tougher aspects of integration. It focuses mainly on reduction formulae of sin , cos and tan and their proofs. However, it does also include integrals using partial fractions, Product powers of sin and cos and Pythagorean Substitutions. This document is very useful for any student studying calculus.
Lecture Notes on Taylor Approximation
This document provides the basics of Taylor Approximation and how to calculate how many iterations are required for a certain remainder. It also focuses on the numbers e and pi and on logarithmic differentiation
- Package deal
- Lecture notes
- • 2 pages •
This document provides the basics of Taylor Approximation and how to calculate how many iterations are required for a certain remainder. It also focuses on the numbers e and pi and on logarithmic differentiation
Lecture Notes on Integration
This document contains everything you need to know on Integration and the different types, focusing on proofs and the use of these methods (eg By Parts). It also includes a practical summary for these methods. This document is very useful for any student studying Calculus.
- Package deal
- Lecture notes
- • 8 pages •
This document contains everything you need to know on Integration and the different types, focusing on proofs and the use of these methods (eg By Parts). It also includes a practical summary for these methods. This document is very useful for any student studying Calculus.
Lecture Notes on Plotting Graphs
This document explains exactly how to plot graphs using Calculus (Differentiation). It includes the different tests that can be used to determine critical points and the importance and relevance of these critical points. This is very useful for any student studying calculus.
- Package deal
- Lecture notes
- • 4 pages •
This document explains exactly how to plot graphs using Calculus (Differentiation). It includes the different tests that can be used to determine critical points and the importance and relevance of these critical points. This is very useful for any student studying calculus.
Lecture Notes on Further Differentiation and Limits
This document contains everything you need to know on the tougher parts of differentiation and limits, mainly focusing on the proofs of the chain, product and quotient rules. This is colourfully laid out and includes many more definitions and is very useful for any student studying Calculus.
- Package deal
- Lecture notes
- • 9 pages •
This document contains everything you need to know on the tougher parts of differentiation and limits, mainly focusing on the proofs of the chain, product and quotient rules. This is colourfully laid out and includes many more definitions and is very useful for any student studying Calculus.