Elementary Algebra and Calculus The Whys and Hows
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740301519
Table of contents: title: Content; title: 1. Part I Introduction; title: 2. Part II Concept Maps; title: 3. Part III Lectures; title: 4. Lecture 1 ALGEBRA: Addition, Subtraction, Multiplication and Division of Rational Numbers; title: 5. Lecture 2 Applications of Elementary ALGEBRA: Solving Simple Equations; title: 6. Lecture 3 ALGEBRA: Exponentiation, Roots and Logarithms of Real Numbers; title: 7. Lecture 4 FUNCTIONS; title: 8. Lecture 5 Real FUNCTIONS of One Real Variable: Graphs, Polynomials; title: 9. Lecture 6 Real FUNCTIONS of One Real Variable: Exponential Functions, Logarithmic Functions, Inverse Functions; title: 10. Lecture 7 Real FUNCTIONS of One Real Variable: Trigonometric Functions, Inverse Trigonometric Functions, Hyperbolic Functions; title: 11. Lecture 8 Real FUNCTIONS of One Real Variable: Sketching and Using Graphs, Simple Transformations; title: 12. Lecture 9 Real FUNCTIONS of One Real Variable: Sketching Graphs by Simple Transformations (ctd.); title: 13. Lecture 10 ALGEBRA: Addition of Complex Numbers, the Argand Diagram, Forms of Complex Numbers; title: 14. Lecture 11 ALGEBRA: Multiplication and Division of Complex Numbers; title: 15. Lecture 12 ALGEBRA: Fractional Powers, Logs and Loci of Complex Numbers; title: 16. Lecture 13 CALCULUS: Sequences, Limits and Series; title: 17. Lecture 14 DIFFERENTIAL CALCULUS: Limits, Continuity and Differentiation of Real Functions of One Real Variable; title: 18. Lecture 15 DIFFERENTIAL CALCULUS: Differentiation (ctd.); title: 19. Lecture 16 DIFFERENTIAL CALCUUS: Sketching Graphs Using Analysis; title: 20. Lecture 17 Application of DIFFERENTIAL CALCULUS to Approximation of Functions: the Taylor and Maclaurin Series; title: 21. Lecture 18 INTEGRAL CALCULUS: Integration of Real Functions of One Real Variable (Definite Integrals); title: 22. Lecture 19 INTEGRAL CALCULUS: Integration of Real Functions of One Real Variable (Indefinite Integrals); title: 23. Lecture 20 INTEGRAL CALCULUS: Advanced Integration Methods; title: 24. Lecture 21 INTEGRAL CALCULUS: Applications of Integration; title: 25. Lecture 22 Ordinary Differential Equations; title: 26. Part IV Summaries; title: 27. Part V Glossary; title: 28. Part VI Study Skills for Maths; title: 29. Part VII Teaching Methodology (FAQs)