Elementary Algebra and Calculus The Whys and Hows

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Last edited by ISBNbot2
August 22, 2020 | History

Elementary Algebra and Calculus The Whys and Hows

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The book is based on lecture notes Larissa created while teaching large classes of STEM students at a University of widening access and embodies a systematic and efficient teaching method that marries modern evidence-based pedagogical findings with ideas that can be traced back to such educational and mathematical giants as Socrates and Euler.

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Bookboon.com

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Cover of: Elementary Algebra and Calculus The Whys and Hows
Elementary Algebra and Calculus The Whys and Hows
2013, Bookboon.com

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Book Details


Table of Contents

Sisältö
Part I Introduction
Part II Concept Maps
Part III Lectures
Lecture 1 ALGEBRA: Addition, Subtraction, Multiplication and Division of Rational Numbers
Lecture 2 Applications of Elementary ALGEBRA: Solving Simple Equations
Lecture 3 ALGEBRA: Exponentiation, Roots and Logarithms of Real Numbers
Lecture 4 FUNCTIONS
Lecture 5 Real FUNCTIONS of One Real Variable: Graphs, Polynomials
Lecture 6 Real FUNCTIONS of One Real Variable: Exponential Functions, Logarithmic Functions, Inverse Functions
Lecture 7 Real FUNCTIONS of One Real Variable: Trigonometric Functions, Inverse Trigonometric Functions, Hyperbolic Functions
Lecture 8 Real FUNCTIONS of One Real Variable: Sketching and Using Graphs, Simple Transformations
Lecture 9 Real FUNCTIONS of One Real Variable: Sketching Graphs by Simple Transformations (ctd.)
Lecture 10 ALGEBRA: Addition of Complex Numbers, the Argand Diagram, Forms of Complex Numbers
Lecture 11 ALGEBRA: Multiplication and Division of Complex Numbers
Lecture 12 ALGEBRA: Fractional Powers, Logs and Loci of Complex Numbers
Lecture 13 CALCULUS: Sequences, Limits and Series
Lecture 14 DIFFERENTIAL CALCULUS: Limits, Continuity and Differentiation of Real Functions of One Real Variable
Lecture 15 DIFFERENTIAL CALCULUS: Differentiation (ctd.)
Lecture 16 DIFFERENTIAL CALCUUS: Sketching Graphs Using Analysis
Lecture 17 Application of DIFFERENTIAL CALCULUS to Approximation of Functions: the Taylor and Maclaurin Series
Lecture 18 INTEGRAL CALCULUS: Integration of Real Functions of One Real Variable (Definite Integrals)
Lecture 19 INTEGRAL CALCULUS: Integration of Real Functions of One Real Variable (Indefinite Integrals)
Lecture 20 INTEGRAL CALCULUS: Advanced Integration Methods
Lecture 21 INTEGRAL CALCULUS: Applications of Integration
Lecture 22 Ordinary Differential Equations
Part IV Summaries
Part V Glossary
Part VI Study Skills for Maths
Part VII Teaching Methodology (FAQs)

ID Numbers

Open Library
OL25775161M
ISBN 13
9788740301519

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
August 22, 2020 Edited by ISBNbot2 normalize ISBN
October 9, 2015 Edited by Alice Kirk Edited without comment.
October 9, 2015 Edited by Alice Kirk Added new cover
October 9, 2015 Created by Alice Kirk Added new book.