priligy bestellen

Sale!

Differential Calculus (Digital book, pp. 111)

$30.00 $10.00

This book contains 5 lectures on practically  everything STEM students need to know about Differential Calculus to succeed in their courses!   The emphasis is on disentangling and explaining the necessary concepts. Teachers using these notes would enhance the quality of their teaching and by implication, students success. The Notes can be used on their own or to complement standard classroom materials.

Description

This digital book contains 5 lectures on everything STEM students need to know about Differential Calculus to succeed on their courses! The Lecture Notes contain useful Summaries (Cheat Sheets) and description of necessary Study Skills, including tips for preparing for tests and exams. The Notes are also supplied with answers to Socratic questions dispersed throughout and Solutions to suggested Home Exercises (Worked Examples).

The emphasis is on disentangling and explaining the necessary concepts. Teachers using these notes would enhance the quality of their teaching and by implication, students success. The Notes can be used on their own or to complement standard classroom materials.

Product Summary:

  • Comprehensive Lecture Notes on College Algebra and Basic Calculus
  • Socratic Questions and Suggested Answers
  • Useful Summaries (also known as Cheat Sheets)
  • A mathematics-specific Study Skills Guide, including tips for exam preparation
  • Solutions to Exercises suggested for Self-study (Worked Examples)

Table of Contents

I. INTRODUCTION

II. CONCEPT MAP

III. LECTURES

Lecture 13. CALCULUS: Sequences, Limits and Series
13.1 Sequences
13.2 Limit of a sequence
13.3 Series
13.4 Instructions for self-study

Lecture 14. DIFFERENTIAL CALCULUS: Limits, Continuity and Differentiation of Real Functions of One Real Variable
14.1 Limits
14.2 Continuity of a function
14.3 Differentiation of a real function of one real variable
14.4 A historical note
14.5 Instructions for self-study

Lecture 15. DIFFERENTIAL CALCULUS: Differentiation (ctd.)
15.1 Differentiation Table
15.2 Differentiation Rules
15.3 Decision Tree for Differentiation
15.4 The higher order derivatives
15.5 The partial derivatives
15.6 Applications of differentiation
15.7 Instructions for self-study

Lecture 16. DIFFERENTIAL CALCULUS: Sketching Graphs Using Analysis
16.1 Stationary points
16.2 Increasing and decreasing functions
16.3 Maxima and minima
16.5 Convex and concave functions
16.6 Inflexion points
16.7 Sketching rational functions using analysis
16.8 Applications of rational functions and their graphs
16.9 Instructions for self-study
Lecture 17. Application of DIFFERENTIAL CALCULUS to Approximation of Functions: the Taylor and Maclaurin Series
17.1 Approximating a real function of a real variable using its first derivative
17.2 The Maclaurin polynomials
17.3 The Taylor polynomials
17.4 The Taylor series
17.5 The Maclaurin series
17.8 Instructions for self-study

IV. SUMMARIES

Algebra Summary
Functions Summary
Order of Operations Summary
Quadratics Summary
Trigonometry Summary
Complex Numbers
Decision Tree For Solving Simple Equations
Sketching Graphs by Simple Transformations
Finding a Limit of a Sequence
Differentiation Summary

V. GLOSSARY

VI. STUDY SKILLS

VII. TEACHING METHODOLOGY (FAQs)

VIII. SOLUTIONS TO EXERCISES FOR SELF-STUDY (WORKED EXAMPLES)
Solutions to Exercises in Lecture 13
Solutions to Exercises in Lecture 14
Solutions to Exercises in Lecture 15
Solutions to Exercises in Lecture 16
Solutions to Exercises in Lecture 17

Reviews

There are no reviews yet.

Be the first to review “Differential Calculus (Digital book, pp. 111)”

Powered by Oxfordshire Web Services