Integrals course notes - Study guides, Class notes & Summaries
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Department of Mathematics
- Exam (elaborations) • 13 pages • 2023
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Department of 
Mathematics 
Courses of Study: 
Minor 
Major (B.A.) 
Combined B.A./M.A 
Master of Arts 
Doctor of Philosophy 
Objectives 
Undergraduate Major 
As our society becomes more technological, it is more affected by 
mathematics. Quite sophisticated mathematics is now central to 
the natural sciences, to ecological issues, to economics, and to 
our commercial and technical life. A student who takes such 
general level courses as MATH 5, 8, 10, 15, or 20 will better 
understand the world ...
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Mathematics for Business B: Summary + Notes + Exercises (Bridging MBA - KUL Brussels)
- Class notes • 124 pages • 2021
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ENGLISH SUMMARY FOR BRIDGING PROGRAM MBA at KUL 
Prof.: Verhaest Dieter 
Textbook: Essential Mathematics for Economic Analysis (5th edition), Pearson, 2017 (4610); 
 
This document contains a summary of the course content + own class notes + exercises with solutions. 
 
Course content: 
1. Definite and indefinite integrals of a function of one real variable 
(antiderivative and indefinite integral+ integration methods+ definite integral and area) 
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2. Differential equations of the f...
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ACCA Unit 1 Double and Triple Integrals Class Notes
- Class notes • 22 pages • 2024
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Class notes for Course 18MAB102T - Advanced Calculus and Complex Analysis, Unit 1, focusing on Double and Triple Integrals. 
Designed for students seeking a comprehensive understanding of these fundamental concepts, our notes offer a clear and concise explanation of key topics including the theory behind multiple integrals, applications, and techniques for evaluating double and triple integrals. these notes provide step-by-step solutions, illustrative examples, and insightful explanations that...
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Nth order ODEs Notes
- Class notes • 3 pages • 2023
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These class notes cover ordinary differential equations, initial value problems, linearity, existence integrals, and continuity; explanations and worked out examples included. These notes are from the differential equations course taught by Peter Brady at Stevens Institute of Technology.
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University Calculus ALL MODULUS (Chapters 1, 2, 3, 4) First Year University Calculus
- Class notes • 378 pages • 2024
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University Calculus ALL MODULUS (Chapters 1, 2, 3, 4) First Year University Calculus. Covers Calculus definitions, limits, derivatives, and integrals. Contains definitions, facts, examples, and solutions. Comprehensive class notes collection covering a full 3 credit hour course.
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Calculus II Notes Sections 7.2-9.4 (Some Sections Excluded (Detailed Hand-Written(Part 1 of 2))
- Class notes • 20 pages • 2024
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Continuation of course material for Calculus II with sections 7.2 on trigonometric integrals and substitution. Notes also included but were not limited to: integration by parts, trigonometric identities, practice problems in preparation for course (MATH 1770) quizzes, partial fractions decomposition, substitution techniques, repeated linear roots, rational functions, improper integrals,
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Maths 3- Vectors and calculus
- Class notes • 22 pages • 2024
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-An in depth set of notes and worked examples for the vectors section of the maths 3 course. Mostly vector calculus, green and stoke theorem, multiple integrals, 2d, polar, and cylindrical coordinates. 
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Class notes Calculus II
- Class notes • 46 pages • 2023
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48 Pages of Notes taken in my free time following Professor Leonard’s Calculus 2 course on YouTube. Beginning with Differentiation/Integration of Exponential Functions, followed by advanced techniques of integration such as Integration by Parts, Trig. Substitution, Partial Fraction decomposition. Continues to Improper Integrals, into Sequences and Series. Expands on Taylor/MacLauren Series, as well as various tests of convergence (Integral Test, Ratio Test, etc.). Additionally, opens discussio...
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Lecture notes Mathematics II (MATH2011A) - Calculus_Chapter_4
- Class notes • 41 pages • 2022
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This document clearly describes, with detailed notes and examples, how to evaluate/solve the following: 
~ Path Integrals in Scalar Fields 
~ Path Integrals in Vector Fields 
~ Double and Repeated Integrals 
~ Enclosed Volumes 
~ Change of variables in Double Integrals 
~ Green's Theorem - Corollary 1 
as taught by the University of Witwatersrand 
 
As a student, I am always searching for a great set of notes that I can rely on to ensure that I can achieve the best of my abilities. With this c...
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Calculus Notes and Exercises
- Summary • 5 pages • 2024
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Description 
Comprehensive Calculus Course Material with Notes, Exercises, and Solutions 
Dive deep into the world of Calculus with this extensive and meticulously crafted document designed for college and university students. This six-page document provides a thorough overview of key calculus concepts, including differential and integral calculus. It is an invaluable resource for students, educators, and anyone interested in mastering Calculus. 
 
Contents 
1. Detailed Notes: 
 
Limits and Cont...
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