Elementary Algebra and Calculus The Whys and Hows
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740301519
Table of contents: title: Part I Introduction; title: Part II Concept Maps; title: Part III Lectures; title: Lecture 1 ALGEBRA: Addition, Subtraction, Multiplication and Division of Rational Numbers; title: Lecture 2 Applications of Elementary ALGEBRA: Solving Simple Equations; title: Lecture 3 ALGEBRA: Exponentiation, Roots and Logarithms of Real Numbers; title: Lecture 4 FUNCTIONS; title: Lecture 5 Real FUNCTIONS of One Real Variable: Graphs, Polynomials; title: Lecture 6 Real FUNCTIONS of One Real Variable: Exponential Functions, Logarithmic Functions, Inverse Functions; title: Lecture 7 Real FUNCTIONS of One Real Variable: Trigonometric Functions, Inverse Trigonometric Functions, Hyperbolic Functions; title: Lecture 8 Real FUNCTIONS of One Real Variable: Sketching and Using Graphs, Simple Transformations; title: Lecture 9 Real FUNCTIONS of One Real Variable: Sketching Graphs by Simple Transformations (ctd.); title: Lecture 10 ALGEBRA: Addition of Complex Numbers, the Argand Diagram, Forms of Complex Numbers; title: Lecture 11 ALGEBRA: Multiplication and Division of Complex Numbers; title: Lecture 12 ALGEBRA: Fractional Powers, Logs and Loci of Complex Numbers; title: Lecture 13 CALCULUS: Sequences, Limits and Series; title: Lecture 14 DIFFERENTIAL CALCULUS: Limits, Continuity and Differentiation of Real Functions of One Real Variable; title: Lecture 15 DIFFERENTIAL CALCULUS: Differentiation (ctd.); title: Lecture 16 DIFFERENTIAL CALCUUS: Sketching Graphs Using Analysis; title: Lecture 17 Application of DIFFERENTIAL CALCULUS to Approximation of Functions: the Taylor and Maclaurin Series; title: Lecture 18 INTEGRAL CALCULUS: Integration of Real Functions of One Real Variable (Definite Integrals); title: Lecture 19 INTEGRAL CALCULUS: Integration of Real Functions of One Real Variable (Indefinite Integrals); title: Lecture 20 INTEGRAL CALCULUS: Advanced Integration Methods; title: Lecture 21 INTEGRAL CALCULUS: Applications of Integration; title: Lecture 22 Ordinary Differential Equations; title: Part IV Summaries; title: Part V Glossary; title: Part VI Study Skills for Maths; title: Part VII Teaching Methodology (FAQs)